diff --git a/MathJax.js b/MathJax.js
index fbb31da0d..49626a239 100644
--- a/MathJax.js
+++ b/MathJax.js
@@ -26,5 +26,5 @@ if (!window.MathJax) {window.MathJax = {}}
 
 MathJax.isPacked = true;
 
-if(document.getElementById&&document.childNodes&&document.createElement){if(!window.MathJax){window.MathJax={}}if(!MathJax.Hub){MathJax.version="1.1a";MathJax.fileversion="1.1.8";(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)){this.protoFunction(h,g[h])}}if(g.toString!==this.prototype.toString&&g.toString!=={}.toString){this.protoFunction("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*/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=function(hooks,data,reset){if(!hooks){return null}if(!(hooks instanceof Array)){hooks=[hooks]}if(!(data instanceof Array)){data=(data==null?[]:[data])}var callbacks=[{}];for(var i=0,m=hooks.length;i<m;i++){if(reset){hooks[i].reset()}var result=hooks[i].apply(window,data);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 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=[]},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=1;for(var i=0,m=this.listeners.length;i<m;i++){this.listeners[i].reset();var result=(this.listeners[i])(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){callback=USING(callback);this.listeners[this.listeners.length]=callback;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){for(var i=0,m=this.listeners.length;i<m;i++){if(this.listeners[i]===callback){this.listeners.splice(i,1);return}}},MessageHook:function(msg,callback){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=[]}this.hooks[msg].push(callback);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);return HOOKS(this.hooks[type],[msg],true)}},{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.ExecuteHooks=HOOKS})("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){}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){}k=h.toUpperCase();j=j[h]}else{k=j.split(/\./).pop().toUpperCase()}j=this.fileURL(j);if(this.loading[j]){if(!this.loadHooks[j]){this.loadHooks[j]=[]}this.loadHooks[j].push(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(j,k){k=a.Callback(k);if(j instanceof Object){for(var h in j){j=j[h]}}j=this.fileURL(j);if(this.loaded[j]){k(this.loaded[j])}else{if(!this.loadHooks[j]){this.loadHooks[j]=[]}this.loadHooks[j].push(k)}return k},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,message:a.Message.File(i),timeout:setTimeout(j,this.timeout),status:this.STATUS.OK,script:h};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&&typeof(window.sessionStorage)!=="undefined"&&h.nodeName==="STYLE"){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=0;setTimeout(h,j)},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];if(!this.loadHooks[h]){this.loadHooks[h]=[]}this.loadHooks[h].push(i.callback)}else{this.loaded[h]=this.STATUS.OK;i={status:this.STATUS.OK}}a.Callback.ExecuteHooks(this.loadHooks[h],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("File failed to load: "+h,null,2000)},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){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{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)}},Cookie:{prefix:"mjx",expires:365,Set:function(a,d){var c=[];if(d){for(var f in d){if(d.hasOwnProperty(f)){c.push(f+":"+d[f].toString().replace(/&/g,"&&"))}}}var b=this.prefix+"."+a+"="+escape(c.join("&;"));if(this.expires){var e=new Date();e.setDate(e.getDate()+this.expires);b+="; expires="+e.toGMTString()}document.cookie=b+"; path=/"},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.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"},filterText:function(a,b){if(MathJax.Hub.config.messageStyle==="simple"){if(a.match(/^Loading /)){if(!this.loading){this.loading="Loading "}a=this.loading;this.loading+="."}else{if(a.match(/^Processing /)){if(!this.processing){this.processing="Processing "}a=this.processing;this.processing+="."}}}return a},Set:function(b,c,a){if(this.timer){clearTimeout(this.timer);delete this.timeout}if(c==null){c=this.log.length;this.log[c]={}}this.log[c].text=b;this.log[c].filteredText=b=this.filterText(b,c);if(typeof(this.log[c].next)==="undefined"){this.log[c].next=this.current;if(this.current!=null){this.log[this.current].prev=c}this.current=c}if(this.current===c&&MathJax.Hub.config.messageStyle!=="none"){if(this.Init()){if(this.textNodeBug){this.div.innerHTML=b}else{this.text.nodeValue=b}this.div.style.display="";if(this.status){window.status="";delete this.status}}else{window.status=b;this.status=true}}if(a){setTimeout(MathJax.Callback(["Clear",this,c]),a)}return c},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)}this.timer=setTimeout(MathJax.Callback(["Remove",this]),(a||600))}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},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("Loading "+b)},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:{},jax:[],extensions:[],preJax:null,postJax:null,displayAlign:"center",displayIndent:"0",preRemoveClass:"MathJax_Preview",showProcessingMessages:true,messageStyle:"normal",delayStartupUntil:"none",skipStartupTypeset:false,"v1.0-compatible":true,elements:[],preProcessors:[],inputJax:{},outputJax:{order:{}},menuSettings:{zoom:"None",CTRL:false,ALT:false,CMD:false,Shift:false,zscale:"200%",renderer:"",font:"Auto",context:"MathJax"},errorSettings:{message:["[Math Processing Error]"],style:{color:"#CC0000","font-style":"italic"}}},processUpdateTime:250,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(a){MathJax.Hub.config.preProcessors.push(MathJax.Callback(a))},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}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}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.config.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},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]]],["ExecuteHooks",MathJax.Callback,(arguments.callee.disabled?[]:this.config.preProcessors),c.elements[d],true],["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)},takeAction:function(g,f,h){var d=this.elementCallback(f,h);var c=MathJax.Callback.Queue(["Clear",this.signal]);for(var e=0,b=d.elements.length;e<b;e++){if(d.elements[e]){var a=[];c.Push(["Post",this.signal,["Begin "+g,d.elements[e]]],["Post",this.signal,["Begin Math",d.elements[e]]],["prepareScripts",this,g,d.elements[e],a],["processScripts",this,a],["Post",this.signal,["End Math",d.elements[e]]],["Post",this.signal,["End "+g,d.elements[e]]])}}return c.Push(d.callback)},scriptAction:{Process:function(a){},Update:function(b){var a=b.MathJax.elementJax;if(a&&a.originalText===(b.text==""?b.innerHTML:b.text)){b.MathJax.state=a.STATE.PROCESSED}else{a.outputJax.Remove(a);b.MathJax.state=a.STATE.UPDATE}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.outputJax.Remove(a);b.MathJax.state=a.STATE.UPDATE}}},prepareScripts:function(h,e,f){if(arguments.callee.disabled){return}var b=this.elementScripts(e);var g=MathJax.ElementJax.STATE;for(var d=0,a=b.length;d<a;d++){var c=b[d];if(c.type&&this.config.inputJax[c.type.replace(/ *;(.|\n)*/,"")]){if(c.MathJax&&c.MathJax.state!==g.PENDING){this.scriptAction[h](c)}if(!c.MathJax){c.MathJax={state:g.PENDING}}if(c.MathJax.state!==g.PROCESSED){f.push(c)}}}},checkScriptSiblings:function(a){if(a.MathJax&&a.MathJax.checked){return}var b=this.config;var g=a.previousSibling;if(g&&g.nodeName=="#text"){var d,f;var 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=g.nodeValue.match(b.preJax)}if(b.postJax&&c){if(typeof(b.postJax)==="string"){b.postJax=new RegExp("^"+b.postJax)}f=c.nodeValue.match(b.postJax)}if(d&&(!b.postJax||f)){g.nodeValue=g.nodeValue.replace(b.preJax,(d.length>1?d[1]:""));g=null}if(f&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(f.length>1?f[1]:""))}if(g&&!g.nodeValue.match(/\S/)){g=g.previousSibling}}if(b.preRemoveClass&&g&&g.className==b.preRemoveClass){try{g.innerHTML=""}catch(e){}g.style.display="none"}if(a.MathJax){a.MathJax.checked=1}},processScripts:function(h,b,d){if(arguments.callee.disabled){return null}var q,o=MathJax.ElementJax.STATE;var p=this.config.inputJax,c=this.config.outputJax;try{if(!b){b=new Date().getTime()}var j=0,l,f;while(j<h.length){l=h[j];if(!l){j++;continue}f=l.previousSibling;if(f&&f.className==="MathJax_Error"){f.parentNode.removeChild(f)}var k=l.type.replace(/ *;(.|\s)*/,"");if(!l.MathJax||l.MathJax.state===o.PROCESSED){j++;continue}if(!l.MathJax.elementJax||l.MathJax.state===o.UPDATE){this.checkScriptSiblings(l);q=p[k].Process(l);if(typeof q==="function"){if(q.called){continue}this.RestartAfter(q)}q.Attach(l,p[k]);l.MathJax.state=o.OUTPUT}var a=l.MathJax.elementJax;if(!c[a.mimeType]){l.MathJax.state=o.UPDATE;throw Error("No output jax registered for "+a.mimeType)}a.outputJax=c[a.mimeType][0];q=a.outputJax.Process(l);if(typeof q==="function"){if(q.called){continue}this.RestartAfter(q)}l.MathJax.state=o.PROCESSED;this.signal.Post(["New Math",a.inputID]);j++;if(new Date().getTime()-b>this.processUpdateTime&&j<h.length){b=0;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(g){if(!g.restart){if(!this.config.errorSettings.message){throw g}this.formatError(l,g);j++}if(!d){d=0}var e=Math.floor((d+j)/(d+h.length)*100);d+=j;if(this.config.showProcessingMessages){MathJax.Message.Set("Processing math: "+e+"%",0)}return MathJax.Callback.After(["processScripts",this,h.slice(j),b,d],g.restart)}if((d||h.length)&&this.config.showProcessingMessages){MathJax.Message.Set("Processing Math: 100%",0);MathJax.Message.Clear(0)}return null},formatError:function(a,c){var b=MathJax.HTML.Element("span",{className:"MathJax_Error"},this.config.errorSettings.message);a.parentNode.insertBefore(b,a);this.lastError=c},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(c.length==0){c.push(document.body)}if(!f){f={}}return{elements:c,callback:f}},elementScripts:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a==null){a=document.body}if(a.tagName!=null&&a.tagName.toLowerCase()==="script"){return[a]}return a.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}};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"]);var b=MathJax.HTML.Cookie.Get("user");if(b.URL||b.Config){if(confirm("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$/)){d[c]+=".js"}this.queue.Push(["Require",MathJax.Ajax,this.URL("config",d[c])])}}if(this.script.match(/\S/)){this.queue.Push(this.script+";\n1;")}this.queue.Push(["ConfigDelay",this],["ConfigBlocks",this],["ConfigDefault",this],[function(e){return e.loadArray(MathJax.Hub.config.config,"config",null,true)},this],["Post",this.signal,"End Config"])},ConfigDelay:function(){var a=this.params.delayStartupUntil||MathJax.Hub.config.delayStartupUntil;if(a==="onload"){return this.onload}if(a==="configured"){return MathJax.Hub.Configured}return a},ConfigBlocks:function(){var c=document.getElementsByTagName("script");var f=null,b=MathJax.Callback.Queue();for(var d=0,a=c.length;d<a;d++){var e=String(c[d].type).replace(/ /g,"");if(e.match(/^text\/x-mathjax-config(;.*)?$/)&&!e.match(/;executed=true/)){c[d].type+=";executed=true";f=b.Push(c[d].innerHTML+";\n1;")}}return f},ConfigDefault:function(){var a=MathJax.Hub.config;if(a["v1.0-compatible"]&&a.jax.length===0){return MathJax.Ajax.Require(this.URL("extensions","v1.0-warning.js"))}},Cookie:function(){return this.queue.Push(["Post",this.signal,"Begin Cookie"],["Get",MathJax.HTML.Cookie,"menu",MathJax.Hub.config.menuSettings],[function(d){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 d=MathJax.Hub.config;for(var e=0,b=d.jax.length,c=0;e<b;e++){if(d.jax[e].substr(0,7)==="output/"){d.outputJax.order[d.jax[e].substr(7)]=c;c++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,d.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.config.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}},onLoad:function(a){var b=this.onload=MathJax.Callback(function(){MathJax.Hub.Startup.signal.Post("onLoad")});if(window.addEventListener){window.addEventListener("load",b,false)}else{if(window.attachEvent){window.attachEvent("onload",b)}else{window.onload=b}}return b},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},Process:function(h){var i=a.Require(this.directory+"/"+this.JAXFILE);if(!i.called){this.constructor.prototype.Process=function(j){return i}}return i},Translate:function(h){throw Error(this.directory+"/"+this.JAXFILE+" failed to redefine 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"){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"],[function(j){j.Process=j.Translate},this.constructor.prototype],["loadComplete",a,this.directory+"/"+i])}}},{id:"unknown",version:"1.1",directory:e+"/jax",extensionDir:e+"/extensions"});b.InputJax=g.Subclass({elementJax:"mml",Process:function(o){var j=f.Queue();var k=this.elementJax;if(!(k instanceof Array)){k=[k]}for(var n=0,h=k.length;n<h;n++){var l=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(l);j.Push(a.Require(l))}var p=j.Push(a.Require(this.directory+"/"+this.JAXFILE));if(!p.called){this.constructor.prototype.Process=function(){return p}}k=c.config.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},Register:function(h){if(!c.config.inputJax){c.config.inputJax={}}c.config.inputJax[h]=this}},{version:"1.1",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({Register:function(i){var h=c.config.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){}},{version:"1.1",directory:g.directory+"/output",extensionDir:g.extensionDir,fontDir:e+(b.isPacked?"":"/..")+"/fonts"});b.ElementJax=g.Subclass({Init:function(i,h){return this.constructor.Subclass(i,h)},inputJax:null,outputJax:null,inputID:null,originalText:"",mimeType:"",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(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(){this.outputJax.Remove(this);c.signal.Post(["Remove Math",this.inputID]);this.Detach()},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=(i.text==""?i.innerHTML:i.text);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}},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(!this.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{version:"1.1",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})("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.$2.substr(1).split(/\&/);for(var n=0,h=r.length;n<h;n++){var k=r[n].match(/(.*)=(.*)/);if(k){q.params[unescape(k[1])]=unescape(k[2])}}}u.root=b[o].src.replace(/(^|\/)[^\/]*(\?.*)?$/,"");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:(window.netscape!=null&&document.ATTRIBUTE_NODE!=null&&!window.opera),isSafari:(navigator.userAgent.match(/ (Apple)?WebKit\//)!=null&&!window.chrome),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>=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.product==="Gecko"&&navigator.productSub){var i=navigator.productSub.substr(0,8);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)},Opera:function(i){i.version=opera.version()},MSIE:function(i){i.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!i.isIE9||document.documentMode<9}});c.Browser.Select(MathJax.Message.browsers);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],["Post",q.signal,"End"])})("MathJax")}};
+if(document.getElementById&&document.childNodes&&document.createElement){if(!window.MathJax){window.MathJax={}}if(!MathJax.Hub){MathJax.version="1.1a";MathJax.fileversion="1.1.9";(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)){this.protoFunction(h,g[h])}}if(g.toString!==this.prototype.toString&&g.toString!=={}.toString){this.protoFunction("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*/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=function(hooks,data,reset){if(!hooks){return null}if(!(hooks instanceof Array)){hooks=[hooks]}if(!(data instanceof Array)){data=(data==null?[]:[data])}var callbacks=[{}];for(var i=0,m=hooks.length;i<m;i++){if(reset){hooks[i].reset()}var result=hooks[i].apply(window,data);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 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=[]},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=1;for(var i=0,m=this.listeners.length;i<m;i++){this.listeners[i].reset();var result=(this.listeners[i])(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){callback=USING(callback);this.listeners[this.listeners.length]=callback;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){for(var i=0,m=this.listeners.length;i<m;i++){if(this.listeners[i]===callback){this.listeners.splice(i,1);return}}},MessageHook:function(msg,callback){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=[]}this.hooks[msg].push(callback);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);return HOOKS(this.hooks[type],[msg],true)}},{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.ExecuteHooks=HOOKS})("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){}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){}k=h.toUpperCase();j=j[h]}else{k=j.split(/\./).pop().toUpperCase()}j=this.fileURL(j);if(this.loading[j]){if(!this.loadHooks[j]){this.loadHooks[j]=[]}this.loadHooks[j].push(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(j,k){k=a.Callback(k);if(j instanceof Object){for(var h in j){j=j[h]}}j=this.fileURL(j);if(this.loaded[j]){k(this.loaded[j])}else{if(!this.loadHooks[j]){this.loadHooks[j]=[]}this.loadHooks[j].push(k)}return k},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,message:a.Message.File(i),timeout:setTimeout(j,this.timeout),status:this.STATUS.OK,script:h};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&&typeof(window.sessionStorage)!=="undefined"&&h.nodeName==="STYLE"){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=0;setTimeout(h,j)},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];if(!this.loadHooks[h]){this.loadHooks[h]=[]}this.loadHooks[h].push(i.callback)}else{this.loaded[h]=this.STATUS.OK;i={status:this.STATUS.OK}}a.Callback.ExecuteHooks(this.loadHooks[h],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("File failed to load: "+h,null,2000)},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){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{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)}},Cookie:{prefix:"mjx",expires:365,Set:function(a,d){var c=[];if(d){for(var f in d){if(d.hasOwnProperty(f)){c.push(f+":"+d[f].toString().replace(/&/g,"&&"))}}}var b=this.prefix+"."+a+"="+escape(c.join("&;"));if(this.expires){var e=new Date();e.setDate(e.getDate()+this.expires);b+="; expires="+e.toGMTString()}document.cookie=b+"; path=/"},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.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"},filterText:function(a,b){if(MathJax.Hub.config.messageStyle==="simple"){if(a.match(/^Loading /)){if(!this.loading){this.loading="Loading "}a=this.loading;this.loading+="."}else{if(a.match(/^Processing /)){if(!this.processing){this.processing="Processing "}a=this.processing;this.processing+="."}}}return a},Set:function(b,c,a){if(this.timer){clearTimeout(this.timer);delete this.timeout}if(c==null){c=this.log.length;this.log[c]={}}this.log[c].text=b;this.log[c].filteredText=b=this.filterText(b,c);if(typeof(this.log[c].next)==="undefined"){this.log[c].next=this.current;if(this.current!=null){this.log[this.current].prev=c}this.current=c}if(this.current===c&&MathJax.Hub.config.messageStyle!=="none"){if(this.Init()){if(this.textNodeBug){this.div.innerHTML=b}else{this.text.nodeValue=b}this.div.style.display="";if(this.status){window.status="";delete this.status}}else{window.status=b;this.status=true}}if(a){setTimeout(MathJax.Callback(["Clear",this,c]),a)}return c},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)}this.timer=setTimeout(MathJax.Callback(["Remove",this]),(a||600))}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},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("Loading "+b)},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:{},jax:[],extensions:[],preJax:null,postJax:null,displayAlign:"center",displayIndent:"0",preRemoveClass:"MathJax_Preview",showProcessingMessages:true,messageStyle:"normal",delayStartupUntil:"none",skipStartupTypeset:false,"v1.0-compatible":true,elements:[],preProcessors:[],inputJax:{},outputJax:{order:{}},menuSettings:{zoom:"None",CTRL:false,ALT:false,CMD:false,Shift:false,zscale:"200%",renderer:"",font:"Auto",context:"MathJax"},errorSettings:{message:["[Math Processing Error]"],style:{color:"#CC0000","font-style":"italic"}}},processUpdateTime:250,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(a){MathJax.Hub.config.preProcessors.push(MathJax.Callback(a))},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}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}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.config.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},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]]],["ExecuteHooks",MathJax.Callback,(arguments.callee.disabled?[]:this.config.preProcessors),c.elements[d],true],["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)},takeAction:function(g,f,h){var d=this.elementCallback(f,h);var c=MathJax.Callback.Queue(["Clear",this.signal]);for(var e=0,b=d.elements.length;e<b;e++){if(d.elements[e]){var a=[];c.Push(["Post",this.signal,["Begin "+g,d.elements[e]]],["Post",this.signal,["Begin Math",d.elements[e]]],["prepareScripts",this,g,d.elements[e],a],["processScripts",this,a],["Post",this.signal,["End Math",d.elements[e]]],["Post",this.signal,["End "+g,d.elements[e]]])}}return c.Push(d.callback)},scriptAction:{Process:function(a){},Update:function(b){var a=b.MathJax.elementJax;if(a&&a.originalText===(b.text==""?b.innerHTML:b.text)){b.MathJax.state=a.STATE.PROCESSED}else{a.outputJax.Remove(a);b.MathJax.state=a.STATE.UPDATE}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.outputJax.Remove(a);b.MathJax.state=a.STATE.UPDATE}}},prepareScripts:function(h,e,f){if(arguments.callee.disabled){return}var b=this.elementScripts(e);var g=MathJax.ElementJax.STATE;for(var d=0,a=b.length;d<a;d++){var c=b[d];if(c.type&&this.config.inputJax[c.type.replace(/ *;(.|\n)*/,"")]){if(c.MathJax&&c.MathJax.state!==g.PENDING){this.scriptAction[h](c)}if(!c.MathJax){c.MathJax={state:g.PENDING}}if(c.MathJax.state!==g.PROCESSED){f.push(c)}}}},checkScriptSiblings:function(a){if(a.MathJax&&a.MathJax.checked){return}var b=this.config;var g=a.previousSibling;if(g&&g.nodeName=="#text"){var d,f;var 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=g.nodeValue.match(b.preJax)}if(b.postJax&&c){if(typeof(b.postJax)==="string"){b.postJax=new RegExp("^"+b.postJax)}f=c.nodeValue.match(b.postJax)}if(d&&(!b.postJax||f)){g.nodeValue=g.nodeValue.replace(b.preJax,(d.length>1?d[1]:""));g=null}if(f&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(f.length>1?f[1]:""))}if(g&&!g.nodeValue.match(/\S/)){g=g.previousSibling}}if(b.preRemoveClass&&g&&g.className==b.preRemoveClass){try{g.innerHTML=""}catch(e){}g.style.display="none"}if(a.MathJax){a.MathJax.checked=1}},processScripts:function(h,b,d){if(arguments.callee.disabled){return null}var q,o=MathJax.ElementJax.STATE;var p=this.config.inputJax,c=this.config.outputJax;try{if(!b){b=new Date().getTime()}var j=0,l,f;while(j<h.length){l=h[j];if(!l){j++;continue}f=l.previousSibling;if(f&&f.className==="MathJax_Error"){f.parentNode.removeChild(f)}var k=l.type.replace(/ *;(.|\s)*/,"");if(!l.MathJax||l.MathJax.state===o.PROCESSED){j++;continue}if(!l.MathJax.elementJax||l.MathJax.state===o.UPDATE){this.checkScriptSiblings(l);q=p[k].Process(l);if(typeof q==="function"){if(q.called){continue}this.RestartAfter(q)}q.Attach(l,p[k]);l.MathJax.state=o.OUTPUT}var a=l.MathJax.elementJax;if(!c[a.mimeType]){l.MathJax.state=o.UPDATE;throw Error("No output jax registered for "+a.mimeType)}a.outputJax=c[a.mimeType][0];q=a.outputJax.Process(l);if(typeof q==="function"){if(q.called){continue}this.RestartAfter(q)}l.MathJax.state=o.PROCESSED;this.signal.Post(["New Math",a.inputID]);j++;if(new Date().getTime()-b>this.processUpdateTime&&j<h.length){b=0;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(g){if(!g.restart){if(!this.config.errorSettings.message){throw g}this.formatError(l,g);j++}if(!d){d=0}var e=Math.floor((d+j)/(d+h.length)*100);d+=j;if(this.config.showProcessingMessages){MathJax.Message.Set("Processing math: "+e+"%",0)}return MathJax.Callback.After(["processScripts",this,h.slice(j),b,d],g.restart)}if((d||h.length)&&this.config.showProcessingMessages){MathJax.Message.Set("Processing Math: 100%",0);MathJax.Message.Clear(0)}return null},formatError:function(a,c){var b=MathJax.HTML.Element("span",{className:"MathJax_Error"},this.config.errorSettings.message);a.parentNode.insertBefore(b,a);this.lastError=c},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(c.length==0){c.push(document.body)}if(!f){f={}}return{elements:c,callback:f}},elementScripts:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a==null){a=document.body}if(a.tagName!=null&&a.tagName.toLowerCase()==="script"){return[a]}return a.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}};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"]);var b=MathJax.HTML.Cookie.Get("user");if(b.URL||b.Config){if(confirm("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$/)){d[c]+=".js"}this.queue.Push(["Require",MathJax.Ajax,this.URL("config",d[c])])}}if(this.script.match(/\S/)){this.queue.Push(this.script+";\n1;")}this.queue.Push(["ConfigDelay",this],["ConfigBlocks",this],["ConfigDefault",this],[function(e){return e.loadArray(MathJax.Hub.config.config,"config",null,true)},this],["Post",this.signal,"End Config"])},ConfigDelay:function(){var a=this.params.delayStartupUntil||MathJax.Hub.config.delayStartupUntil;if(a==="onload"){return this.onload}if(a==="configured"){return MathJax.Hub.Configured}return a},ConfigBlocks:function(){var c=document.getElementsByTagName("script");var f=null,b=MathJax.Callback.Queue();for(var d=0,a=c.length;d<a;d++){var e=String(c[d].type).replace(/ /g,"");if(e.match(/^text\/x-mathjax-config(;.*)?$/)&&!e.match(/;executed=true/)){c[d].type+=";executed=true";f=b.Push(c[d].innerHTML+";\n1;")}}return f},ConfigDefault:function(){var a=MathJax.Hub.config;if(a["v1.0-compatible"]&&a.jax.length===0){return MathJax.Ajax.Require(this.URL("extensions","v1.0-warning.js"))}},Cookie:function(){return this.queue.Push(["Post",this.signal,"Begin Cookie"],["Get",MathJax.HTML.Cookie,"menu",MathJax.Hub.config.menuSettings],[function(d){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 d=MathJax.Hub.config;for(var e=0,b=d.jax.length,c=0;e<b;e++){if(d.jax[e].substr(0,7)==="output/"){d.outputJax.order[d.jax[e].substr(7)]=c;c++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,d.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.config.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}},onLoad:function(a){var b=this.onload=MathJax.Callback(function(){MathJax.Hub.Startup.signal.Post("onLoad")});if(window.addEventListener){window.addEventListener("load",b,false)}else{if(window.attachEvent){window.attachEvent("onload",b)}else{window.onload=b}}return b},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},Process:function(h){var i=a.Require(this.directory+"/"+this.JAXFILE);if(!i.called){this.constructor.prototype.Process=function(j){return i}}return i},Translate:function(h){throw Error(this.directory+"/"+this.JAXFILE+" failed to redefine 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"){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"],[function(j){j.Process=j.Translate},this.constructor.prototype],["loadComplete",a,this.directory+"/"+i])}}},{id:"unknown",version:"1.1",directory:e+"/jax",extensionDir:e+"/extensions"});b.InputJax=g.Subclass({elementJax:"mml",Process:function(o){var j=f.Queue();var k=this.elementJax;if(!(k instanceof Array)){k=[k]}for(var n=0,h=k.length;n<h;n++){var l=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(l);j.Push(a.Require(l))}var p=j.Push(a.Require(this.directory+"/"+this.JAXFILE));if(!p.called){this.constructor.prototype.Process=function(){return p}}k=c.config.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},Register:function(h){if(!c.config.inputJax){c.config.inputJax={}}c.config.inputJax[h]=this}},{version:"1.1",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({Register:function(i){var h=c.config.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){}},{version:"1.1.1",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:"",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(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(){this.outputJax.Remove(this);c.signal.Post(["Remove Math",this.inputID]);this.Detach()},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=(i.text==""?i.innerHTML:i.text);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}},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(!this.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{version:"1.1",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})("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.$2.substr(1).split(/\&/);for(var n=0,h=r.length;n<h;n++){var k=r[n].match(/(.*)=(.*)/);if(k){q.params[unescape(k[1])]=unescape(k[2])}}}u.root=b[o].src.replace(/(^|\/)[^\/]*(\?.*)?$/,"");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:(window.netscape!=null&&document.ATTRIBUTE_NODE!=null&&!window.opera),isSafari:(navigator.userAgent.match(/ (Apple)?WebKit\//)!=null&&!window.chrome),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>=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.product==="Gecko"&&navigator.productSub){var i=navigator.productSub.substr(0,8);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)},Opera:function(i){i.version=opera.version()},MSIE:function(i){i.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!i.isIE9||document.documentMode<9}});c.Browser.Select(MathJax.Message.browsers);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],["Post",q.signal,"End"])})("MathJax")}};
 
diff --git a/config/Accessible-full.js b/config/Accessible-full.js
index 949f758f4..0c2236d95 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -68,7 +68,7 @@ MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespa
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/config/Accessible.js b/config/Accessible.js
index 9ac8f2eaa..9d364549c 100644
--- a/config/Accessible.js
+++ b/config/Accessible.js
@@ -65,7 +65,7 @@ MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespa
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
index 14d8c4c47..4c4e973f2 100644
--- a/config/MML_HTMLorMML-full.js
+++ b/config/MML_HTMLorMML-full.js
@@ -44,7 +44,7 @@ MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespa
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/config/MML_HTMLorMML.js b/config/MML_HTMLorMML.js
index 4d0a78e35..7be00e159 100644
--- a/config/MML_HTMLorMML.js
+++ b/config/MML_HTMLorMML.js
@@ -41,7 +41,7 @@ MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespa
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
index 9760f9f99..dfc292737 100644
--- a/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -55,7 +55,7 @@ MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespa
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/config/TeX-AMS-MML_HTMLorMML.js b/config/TeX-AMS-MML_HTMLorMML.js
index cc0f0dc45..5104b7e9c 100644
--- a/config/TeX-AMS-MML_HTMLorMML.js
+++ b/config/TeX-AMS-MML_HTMLorMML.js
@@ -52,7 +52,7 @@ MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespa
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
index fff1e07bf..c8ee3efd3 100644
--- a/config/TeX-AMS_HTML-full.js
+++ b/config/TeX-AMS_HTML-full.js
@@ -39,7 +39,7 @@ MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],di
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/config/TeX-AMS_HTML.js b/config/TeX-AMS_HTML.js
index 472264c46..3c27ded19 100644
--- a/config/TeX-AMS_HTML.js
+++ b/config/TeX-AMS_HTML.js
@@ -37,7 +37,7 @@ MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],di
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","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)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},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":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.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}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.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(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
 MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",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.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{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",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},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.parent;while(f&&f.inferred){f=f.parent}return f},Get:function(g,k){if(typeof(this[g])!=="undefined"){return this[g]}var h=this.Parent();if(h&&h["adjustChild_"+g]!=null){return(h["adjustChild_"+g])(h.childPosition(this))}var j=this.inherit;var f=j;while(j){if(typeof(j[g])!=="undefined"){var i=j.noInherit[this.type];if(!(i&&i[g])){return j[g]}}f=j;j=j.inherit}if(!k){if(this.defaults[g]===a.AUTO){return this.autoDefault(g)}if(this.defaults[g]!==a.INHERIT&&this.defaults[g]!=null){return this.defaults[g]}if(f){return f.defaults[g]}}return null},hasValue:function(f){return(this.Get(f,true)!=null)},getValues:function(){var g={};for(var h=0,f=arguments.length;h<f;h++){g[arguments[h]]=this.Get(arguments[h])}return g},adjustChild_scriptlevel:function(f){return this.Get("scriptlevel")},adjustChild_displaystyle:function(f){return this.Get("displaystyle")},adjustChild_texprimestyle:function(f){return this.Get("texprimestyle")},childPosition:function(h){if(h.parent.inferred){h=h.parent}for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]===h){return g}}return null},setInherit:function(h){if(h!==this.inherit&&this.inherit==null){this.inherit=h;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&this.data[g].setInherit){this.data[g].setInherit(h)}}}},setTeXclass:function(f){this.getPrevClass(f);return(typeof(this.texClass)!=="undefined"?this:f)},getPrevClass:function(f){if(f){this.prevClass=f.Get("texClass");this.prevLevel=f.Get("scriptlevel")}},updateTeXclass:function(f){if(f){this.prevClass=f.prevClass;delete f.prevClass;this.prevLevel=f.prevLevel;delete f.prevLevel;this.texClass=f.Get("texClass")}},texSpacing:function(){var g=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var f=(this.Get("texClass")||a.TEXCLASS.ORD);if(g===a.TEXCLASS.NONE||f===a.TEXCLASS.NONE){return""}if(g===a.TEXCLASS.VCENTER){g=a.TEXCLASS.ORD}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}var h=this.TEXSPACE[g][f];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&h>=0){return""}return this.TEXSPACELENGTH[Math.abs(h)]},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(f){return""},isSpacelike:function(){return d},isEmbellished:function(){return d},Core:function(){return this},CoreMO:function(){return this},lineBreak:function(){if(this.isEmbellished()){return this.CoreMO().lineBreak()}else{return"none"}},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"}},{childrenSpacelike:function(){for(var f=0;f<this.data.length;f++){if(!this.data[f].isSpacelike()){return d}}return b},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(f){if(this.data[0]){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.data[0])}return f},setBaseTeXclasses:function(h){this.getPrevClass(h);this.texClass=null;if(this.isEmbellished()){h=this.data[0].setTeXclass(h);this.updateTeXclass(this.Core())}else{if(this.data[0]){this.data[0].setTeXclass()}h=this}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}return h},setSeparateTeXclasses:function(h){this.getPrevClass(h);for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){this.data[g].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT},autoDefault:function(g){if(g==="mathvariant"){var f=(this.data[0]||"").toString();return(f.length===1||(f.length===2&&f.charCodeAt(0)===this.PLANE1)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:b,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor: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:d,separator:d,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:d,symmetric:b,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:d,movablelimits:d,accent:d,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(h,o){var n=this.def;if(!n){if(h==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var l=this.data.join("");var g=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var j=0,f=g.length;j<f;j++){var k=this.OPTABLE[g[j]][l];if(k){n=this.makeDef(k);break}}if(!n){n=this.CheckRange(l)}if(!n&&o){n={}}else{if(!n){n=MathJax.Hub.Insert({},this.defaultDef)}n.form=g[0];this.def=n}}this.useMMLspacing&=~(this.SPACE_ATTR[h]||0);if(n[h]!=null){return n[h]}else{if(!o){return this.defaultDef[h]}}return""},CheckRange:function(k){var l=k.charCodeAt(0);if(k.charAt(0)===a.PLANE1){l=k.charCodeAt(1)+119808-56320}for(var h=0,f=this.RANGES.length;h<f&&this.RANGES[h][0]<=l;h++){if(l<=this.RANGES[h][1]){if(this.RANGES[h][3]){var g=a.optableDir+"/"+this.RANGES[h][3]+".js";this.RANGES[h][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(g))}var j=(["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER"])[this.RANGES[h][2]];j=this.OPTABLE.infix[k]=a.mo.OPTYPES[j==="BIN"?"BIN3":j];return this.makeDef(j)}}return null},makeDef:function(g){if(g[2]==null){g[2]=this.defaultDef.texClass}if(!g[3]){g[3]={}}var f=MathJax.Hub.Insert({},g[3]);f.lspace=this.SPACE[g[0]];f.rspace=this.SPACE[g[1]];f.texClass=g[2];return f},getForm:function(){var f=this,h=this.parent,g=this.Parent();while(g&&g.isEmbellished()){f=h;h=g.parent;g=g.Parent()}if(h&&h.type==="mrow"&&h.NonSpaceLength()!==1){if(h.FirstNonSpace()===f){return a.FORM.PREFIX}if(h.LastNonSpace()===f){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return b},lineBreak:function(){var f=this.getValues("linebreak","linebreakstyle");if(f.linebreak===a.LINEBREAK.NEWLINE){if(f.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){f.linebreakstyle=this.Get("infixlinebreakstyle")}return f.linebreakstyle}return"none"},setTeXclass:function(f){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(f){this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.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)){f.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:b,isSpacelike:function(){return b},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:b,isSpacelike:function(){return b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},lineBreak:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE?a.LINEBREAKSTYLE.AFTER:"none")}});a.ms=a.mbase.Subclass({type:"ms",isToken:b,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:b,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:d,isEmbellished:function(){var g=d;for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]==null){continue}if(this.data[h].isEmbellished()){if(g){return d}g=b;this.core=h}else{if(!this.data[h].isSpacelike()){return d}}}return g},NonSpaceLength:function(){var h=0;for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){h++}}return h},FirstNonSpace:function(){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]&&!this.data[g].isSpacelike()){return this.data[g]}}return null},LastNonSpace:function(){for(var f=this.data.length-1;f>=0;f--){if(this.data[0]&&!this.data[f].isSpacelike()){return this.data[f]}}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(h){for(var g=0,f=this.data.length;g<f;g++){if(this.data[g]){h=this.data[g].setTeXclass(h)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return h}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,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:d},adjustChild_displaystyle:function(f){return d},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(!this.Get("displaystyle")||f>0){f++}return f},adjustChild_texprimestyle:function(f){if(f==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(f){return b}});a.mroot=a.mbase.Subclass({type:"mroot",texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(f){if(f===1){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g===1){f+=2}return f},adjustChild_texprimestyle:function(f){if(f===0){return b}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:b,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(h){var g=this.scriptlevel;if(g==null){g=this.Get("scriptlevel")}else{if(String(g).match(/^ *[-+]/)){delete this.scriptlevel;var f=this.Get("scriptlevel");this.scriptlevel=g;g=f+parseInt(g)}}return g},inheritFromMe:b,noInherit:{mpadded:{width:b,height:b,depth:b,lspace:b,voffset:b},mtable:{width:b,height:b,depth:b,align:b}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:b,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:b,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:b,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(j){this.getPrevClass(j);var g=this.getValues("open","close","separators");g.open=g.open.replace(/[ \t\n\r]/g,"");g.close=g.close.replace(/[ \t\n\r]/g,"");g.separators=g.separators.replace(/[ \t\n\r]/g,"");if(g.open!==""){this.SetData("open",a.mo(g.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));j=this.data.open.setTeXclass(j)}if(g.separators!==""){while(g.separators.length<this.data.length){g.separators+=g.separators.charAt(g.separators.length-1)}}if(this.data[0]){j=this.data[0].setTeXclass(j)}for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){if(g.separators!==""){this.SetData("sep"+h,a.mo(g.separators.charAt(h-1)));j=this.data["sep"+h].setTeXclass(j)}j=this.data[h].setTeXclass(j)}}if(g.close!==""){this.SetData("close",a.mo(g.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));j=this.data.close.setTeXclass(j)}this.updateTeXclass(this.data.open);return j}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:b,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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g>0){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.sub){return b}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(f){if(f%2===1){return b}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"],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(f){if(f==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(f):a.TEXCLASS.ORD)}if(f==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(f==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return d},adjustChild_displaystyle:function(f){if(f>0){return d}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");if(g==this.under&&!this.Get("accentunder")){f++}if(g==this.over&&!this.Get("accent")){f++}return f},adjustChild_texprimestyle:function(f){if(f===this.base&&this.data[this.over]){return b}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:b,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:d,equalcolumns:d,displaystyle:d,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:b,noInherit:{mtable:{align:b,rowalign:b,columnalign:b,groupalign:b,alignmentscope:b,columnwidth:b,width:b,rowspacing:b,columnspacing:b,rowlines:b,columnlines:b,frame:b,framespacing:b,equalrows:b,equalcolumns:b,side:b,minlabelspacing:b,texClass:b,useHeight:1}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!((arguments[g] instanceof a.mtr)||(arguments[g] instanceof a.mlabeledtr))){arguments[g]=a.mtd(arguments[g])}}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:b,noInherit:{mrow:{rowalign:b,columnalign:b,groupalign:b},mtable:{rowalign:b,columnalign:b,groupalign:b}},Append:function(){for(var g=0,f=arguments.length;g<f;g++){if(!(arguments[g] instanceof a.mtd)){arguments[g]=a.mtd(arguments[g])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:b,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 b},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:b,noInherit:{mrow:{groupalign:b},mtable:{groupalign:b}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return b}});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(f){return this.selected().setTeXclass(f)}});a.semantics=a.mbase.Subclass({type:"semantics",isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass});a.annotation=a.mbase.Subclass({type:"annotation",isToken:b,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",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,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,decimalseparator:".",texprimestyle:d},autoDefault:function(f){if(f==="displaystyle"){return this.Get("display")==="block"}return""},setTeXclass:a.mbase.setChildTeXclass});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 f=this.value();if(f<=65535){return String.fromCharCode(f)}return this.PLANE1+String.fromCharCode(f-119808+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 g=0,f=arguments.length;g<f;g++){var h=this.Import(arguments[g]);this.data.push(h);this.div.appendChild(h)}},Import:function(k){if(document.importNode){return document.importNode(k,true)}var g,h,f;if(k.nodeType===1){g=document.createElement(k.nodeName);if(k.className){g.className=iNode.className}for(h=0,f=k.attributes.length;h<f;h++){var j=k.attributes[h];if(j.specified&&j.nodeValue!=null&&j.nodeValue!=""){g.setAttribute(j.nodeName,j.nodeValue)}if(j.nodeName==="style"){g.style.cssText=j.nodeValue}}if(k.className){g.className=k.className}}else{if(k.nodeType===3||k.nodeType===4){g=document.createTextNode(k.nodeValue)}else{if(k.nodeType===8){g=document.createComment(k.nodeValue)}else{return document.createTextNode("")}}}for(h=0,f=k.childNodes.length;h<f;h++){g.appendChild(this.Import(k.childNodes[h]))}return g},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:b,texClass:a.TEXCLASS.ORD,setTeXclass:function(f){this.getPrevClass(f);this.data[0].setTeXclass();return this}});a.NULL=a.mbase().With({type:"null"});var c=a.TEXCLASS;var e={ORD:[0,0,c.ORD],ORD11:[1,1,c.ORD],ORD21:[2,1,c.ORD],ORD02:[0,2,c.ORD],ORD55:[5,5,c.ORD],OP:[1,2,c.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,c.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,c.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,c.OP,{largeop:true,symmetric:true}],BIN3:[3,3,c.BIN],BIN4:[4,4,c.BIN],BIN01:[0,1,c.BIN],TALLBIN:[4,4,c.BIN,{stretchy:true}],BINOP:[4,4,c.BIN,{largeop:true,movablelimits:true}],REL:[5,5,c.REL],REL1:[1,1,c.REL,{stretchy:true}],REL4:[4,4,c.REL],WIDEREL:[5,5,c.REL,{stretchy:true}],RELACCENT:[5,5,c.REL,{accent:true,stretchy:true}],OPEN:[0,0,c.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,c.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,c.INNER],PUNCT:[0,3,c.PUNCT],ACCENT:[0,0,c.ORD,{accent:true}],WIDEACCENT:[0,0,c.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,c.REL,"BasicLatin"],[160,255,c.ORD,"Latin1Supplement"],[256,383,c.ORD],[384,591,c.ORD],[688,767,c.ORD,"SpacingModLetters"],[768,879,c.ORD,"CombDiacritMarks"],[880,1023,c.ORD,"GreekAndCoptic"],[7680,7935,c.ORD],[8192,8303,c.PUNCT,"GeneralPunctuation"],[8304,8351,c.ORD],[8352,8399,c.ORD],[8400,8447,c.ORD,"CombDiactForSymbols"],[8448,8527,c.ORD,"LetterlikeSymbols"],[8528,8591,c.ORD],[8592,8703,c.REL,"Arrows"],[8704,8959,c.BIN,"MathOperators"],[8960,9215,c.ORD,"MiscTechnical"],[9312,9471,c.ORD],[9632,9727,c.ORD,"GeometricShapes"],[9984,10175,c.ORD,"Dingbats"],[10176,10223,c.ORD,"MiscMathSymbolsA"],[10496,10623,c.REL,"SupplementalArrowsB"],[10624,10751,c.ORD,"MiscMathSymbolsB"],[10752,11007,c.BIN,"SuppMathOperators"],[11008,11263,c.ORD],[119808,120831,c.ORD]],OPTABLE:{prefix:{"\u2111":e.ORD11,"\u2113":e.ORD11,"\u211C":e.ORD11,"\u2200":e.ORD21,"\u2202":e.ORD21,"\u2203":e.ORD21,"\u2207":e.ORD21,"\u220F":e.OP,"\u2210":e.OP,"\u2211":e.OP,"\u2212":e.BIN01,"\u2213":e.BIN01,"\u221A":[1,1,c.ORD,{stretchy:true}],"\u2220":e.ORD,"\u222B":e.INTEGRAL,"\u222E":e.INTEGRAL,"\u22C0":e.OP,"\u22C1":e.OP,"\u22C2":e.OP,"\u22C3":e.OP,"\u2308":e.OPEN,"\u230A":e.OPEN,"\u27E8":e.OPEN,"\u2A00":e.OP,"\u2A01":e.OP,"\u2A02":e.OP,"\u2A04":e.OP,"\u2A06":e.OP,"\u00AC":e.ORD21,"\u00B1":e.BIN01,"(":e.OPEN,"+":e.BIN01,"-":e.BIN01,"[":e.OPEN,"{":e.OPEN,"|":e.OPEN},postfix:{"!":[1,0,c.CLOSE],"&":e.ORD,"\u2032":e.ORD02,"\u203E":e.WIDEACCENT,"\u2309":e.CLOSE,"\u230B":e.CLOSE,"\u23DE":e.WIDEACCENT,"\u23DF":e.WIDEACCENT,"\u266D":e.ORD02,"\u266E":e.ORD02,"\u266F":e.ORD02,"\u27E9":e.CLOSE,"\u02C6":e.WIDEACCENT,"\u02C7":e.WIDEACCENT,"\u02D8":e.ACCENT,"\u02D9":e.ACCENT,"\u02DC":e.WIDEACCENT,"\u0302":e.ACCENT,"\u00A8":e.ACCENT,"\u00AF":e.WIDEACCENT,")":e.CLOSE,"]":e.CLOSE,"^":e.WIDEACCENT,_:e.WIDEACCENT,"`":e.ACCENT,"|":e.CLOSE,"}":e.CLOSE,"~":e.WIDEACCENT},infix:{"%":[3,3,c.ORD],"\u2022":e.BIN4,"\u2026":e.INNER,"\u2044":e.TALLBIN,"\u2061":e.ORD,"\u2062":e.ORD,"\u2063":[0,0,c.ORD,{separator:true}],"\u2064":e.ORD,"\u2190":e.RELACCENT,"\u2191":e.WIDEREL,"\u2192":e.RELACCENT,"\u2193":e.WIDEREL,"\u2194":e.RELACCENT,"\u2195":e.WIDEREL,"\u2196":e.WIDEREL,"\u2197":e.WIDEREL,"\u2198":e.WIDEREL,"\u2199":e.WIDEREL,"\u21A6":e.WIDEREL,"\u21A9":e.WIDEREL,"\u21AA":e.WIDEREL,"\u21BC":e.RELACCENT,"\u21BD":e.WIDEREL,"\u21C0":e.RELACCENT,"\u21C1":e.WIDEREL,"\u21CC":e.WIDEREL,"\u21D0":e.WIDEREL,"\u21D1":e.WIDEREL,"\u21D2":e.WIDEREL,"\u21D3":e.WIDEREL,"\u21D4":e.WIDEREL,"\u21D5":e.WIDEREL,"\u2208":e.REL,"\u2209":e.REL,"\u220B":e.REL,"\u2212":e.BIN4,"\u2213":e.BIN4,"\u2215":e.TALLBIN,"\u2216":e.BIN4,"\u2217":e.BIN4,"\u2218":e.BIN4,"\u2219":e.BIN4,"\u221D":e.REL,"\u2223":e.REL,"\u2225":e.REL,"\u2227":e.BIN4,"\u2228":e.BIN4,"\u2229":e.BIN4,"\u222A":e.BIN4,"\u223C":e.REL,"\u2240":e.BIN4,"\u2243":e.REL,"\u2245":e.REL,"\u2248":e.REL,"\u224D":e.REL,"\u2250":e.REL,"\u2260":e.REL,"\u2261":e.REL,"\u2264":e.REL,"\u2265":e.REL,"\u226A":e.REL,"\u226B":e.REL,"\u227A":e.REL,"\u227B":e.REL,"\u2282":e.REL,"\u2283":e.REL,"\u2286":e.REL,"\u2287":e.REL,"\u228E":e.BIN4,"\u2291":e.REL,"\u2292":e.REL,"\u2293":e.BIN4,"\u2294":e.BIN4,"\u2295":e.BIN4,"\u2296":e.BIN4,"\u2297":e.BIN4,"\u2298":e.BIN4,"\u2299":e.BIN4,"\u22A2":e.REL,"\u22A3":e.REL,"\u22A4":e.ORD55,"\u22A5":e.REL,"\u22A8":e.REL,"\u22C4":e.BIN4,"\u22C5":e.BIN4,"\u22C6":e.BIN4,"\u22C8":e.REL,"\u22EE":e.ORD55,"\u22EF":e.INNER,"\u22F1":[5,5,c.INNER],"\u2500":[0,0,c.ORD,{stretchy:true}],"\u25B3":e.BIN4,"\u25B5":e.BIN4,"\u25B9":e.BIN4,"\u25BD":e.BIN4,"\u25BF":e.BIN4,"\u25C3":e.BIN4,"\u2758":[4,4,c.REL,{fence:true,stretchy:true,symmetric:true}],"\u27F5":e.REL1,"\u27F6":e.REL1,"\u27F7":e.REL1,"\u27F8":e.REL1,"\u27F9":e.REL1,"\u27FA":e.REL1,"\u2A2F":e.BIN4,"\u2A3F":e.BIN4,"\u2AAF":e.REL,"\u2AB0":e.REL,"\u00B1":e.BIN4,"\u00B7":e.BIN4,"\u00D7":e.BIN4,"\u00F7":e.BIN4,"*":e.BIN3,"+":e.BIN4,",":[0,3,c.PUNCT,{separator:true}],"-":e.BIN4,".":[3,3,c.ORD],"/":e.ORD11,":":[1,2,c.REL],";":[0,3,c.PUNCT,{separator:true}],"<":e.REL,"=":e.REL,">":e.REL,"?":[1,1,c.CLOSE],"\\":e.ORD,_:e.ORD11,"|":[2,2,c.ORD,{fence:true,stretchy:true,symmetric:true}],"#":e.ORD,"$":e.ORD,"\u002E":[0,3,c.PUNCT,{separator:true}],"\u02B9":e.ORD,"\u02C9":e.ACCENT,"\u02CA":e.ACCENT,"\u02CB":e.ACCENT,"\u0300":e.ACCENT,"\u0301":e.ACCENT,"\u0303":e.WIDEACCENT,"\u0304":e.ACCENT,"\u0306":e.ACCENT,"\u0307":e.ACCENT,"\u0308":e.ACCENT,"\u030C":e.ACCENT,"\u0332":e.WIDEACCENT,"\u0338":e.REL4,"\u2015":[0,0,c.ORD,{stretchy:true}],"\u2017":[0,0,c.ORD,{stretchy:true}],"\u2020":e.BIN3,"\u2021":e.BIN3,"\u20D7":e.ACCENT,"\u2118":e.ORD,"\u2205":e.ORD,"\u221E":e.ORD,"\u2305":e.BIN3,"\u2306":e.BIN3,"\u2322":e.REL4,"\u2323":e.REL4,"\u2329":e.OPEN,"\u232A":e.CLOSE,"\u23AA":e.ORD,"\u23AF":[0,0,c.ORD,{stretchy:true}],"\u23B0":e.OPEN,"\u23B1":e.CLOSE,"\u25EF":e.BIN3,"\u2660":e.ORD,"\u2661":e.ORD,"\u2662":e.ORD,"\u2663":e.ORD,"\u27EE":e.OPEN,"\u27EF":e.CLOSE,"\u27FC":e.REL4,"\u3008":e.OPEN,"\u3009":e.CLOSE,"\uFE37":e.WIDEACCENT,"\uFE38":e.WIDEACCENT}}},{OPTYPES:e})})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
 
diff --git a/extensions/MathMenu.js b/extensions/MathMenu.js
index 4346a8ddf..d84437edc 100644
--- a/extensions/MathMenu.js
+++ b/extensions/MathMenu.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(b,c,f){var k="1.1.5";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u-=o.offsetWidth/2;s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover");h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchstart:function(l,m){this.skipUp=!this.menu.posted;return this.SUPER(arguments).Touchstart.apply(this,arguments)},Touchend:function(m,o){var l=false;if(!this.skipUp){var n=this.menu.posted;l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}}delete this.skipUp;return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/ Android /)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
+(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},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:(i?"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":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"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:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Touchend:function(m,o){var n=this.menu.posted;var l=this.SUPER(arguments).Touchend.apply(this,arguments);if(n){this.Deactivate(o);delete h.lastItem;delete h.lastMenu}return l},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=["MathJax.js v"+MathJax.fileversion,["br"]];l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(o){if(!o){o=window.event}var n={screenX:o.screenX,screenY:o.screenY};if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),o)}catch(m){if(!m.restart){throw m}MathJax.Callback.After([this,arguments.callee,n])}}else{if(!f.loadingToMathML){f.loadingToMathML=true;a.ShowSource.Window(o);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,n]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,o)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");if(a.isMobile){n.document.open();n.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<pre>"+r+"</pre>");n.document.write("<hr><input type='button' value='Close' onclick='window.close()' />");n.document.write("</body></html>");n.document.close()}else{n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body style='font-size:85%'>");n.document.write("<table><tr><td><pre>"+r+"</pre></td></tr></table>");n.document.write("</body></html>");n.document.close();var p=n.document.body.firstChild;var o=(n.outerHeight-n.innerHeight)||30,m=(n.outerWidth-n.innerWidth)||30;m=Math.min(Math.floor(0.5*screen.width),p.offsetWidth+m+25);o=Math.min(Math.floor(0.5*screen.height),p.offsetHeight+o+25);n.resizeTo(m,o);if(q&&q.screenX!=null){var l=Math.max(0,Math.min(q.screenX-Math.floor(m/2),screen.width-m-20)),s=Math.max(0,Math.min(q.screenY-Math.floor(o/2),screen.height-o-20));n.moveTo(l,s)}}delete a.ShowSource.w};a.Scale=function(){var m=MathJax.OutputJax["HTML-CSS"],l=MathJax.OutputJax.NativeMML;var o=(m?m.config.scale:l.config.scale);var n=prompt("Scale all mathematics (compared to surrounding text) by",o+"%");if(n){if(n.match(/^\s*\d+\s*%?\s*$/)){n=parseInt(n);if(n){if(n!==o){if(m){m.config.scale=n}if(l){l.config.scale=n}a.cookie.scale=n;a.saveCookie();b.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){f.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var l=b.config.outputJax["jax/mml"];if(l[0]!==j.settings.renderer){MathJax.Callback.Queue(["Require",f,"[MathJax]/jax/output/"+j.settings.renderer+"/config.js"],["Post",b.Startup.signal,j.settings.renderer+" output selected"],[function(){var p=MathJax.OutputJax[j.settings.renderer];for(var o=0,n=l.length;o<n;o++){if(l[o]===p){l.splice(o,1);break}}l.unshift(p)}],["Reprocess",b])}};a.Font=function(){var l=MathJax.OutputJax["HTML-CSS"];if(!l){return}document.location.reload()};b.Browser.Select({MSIE:function(l){var m=(document.compatMode==="BackCompat");var n=l.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(m||!n),msieAboutBug:m});if(document.documentMode>=9){delete j.styles["#MathJax_About"].filter;delete j.styles[".MathJax_Menu"].filter}}});a.isMobile=MathJax.Hub.Browser.isMobile;a.noContextMenu=MathJax.Hub.Browser.noContextMenu;b.Register.StartupHook("End Config",function(){j.settings=b.config.menuSettings;if(!j.settings.format){j.settings.format=(MathJax.InputJax.TeX?"Original":"MathML")}if(typeof(j.settings.showRenderer)!=="undefined"){j.showRenderer=j.settings.showRenderer}if(typeof(j.settings.showFontMenu)!=="undefined"){j.showFontMenu=j.settings.showFontMenu}if(typeof(j.settings.showContext)!=="undefined"){j.showContext=j.settings.showContext}a.getCookie();a.menu=a(h.COMMAND("Show Source",a.ShowSource,{nativeTouch:true}),h.SUBMENU("Format",h.RADIO("MathML","format"),h.RADIO("Original","format",{value:"Original"})),h.RULE(),h.SUBMENU("Settings",h.SUBMENU("Zoom Trigger",h.RADIO("Hover","zoom",{action:a.Zoom}),h.RADIO("Click","zoom",{action:a.Zoom}),h.RADIO("Double-Click","zoom",{action:a.Zoom}),h.RADIO("No Zoom","zoom",{value:"None"}),h.RULE(),h.LABEL("Trigger Requires:"),h.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),h.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),h.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),h.CHECKBOX("Shift","Shift")),h.SUBMENU("Zoom Factor",h.RADIO("125%","zscale"),h.RADIO("133%","zscale"),h.RADIO("150%","zscale"),h.RADIO("175%","zscale"),h.RADIO("200%","zscale"),h.RADIO("250%","zscale"),h.RADIO("300%","zscale"),h.RADIO("400%","zscale")),h.RULE(),h.SUBMENU("Math Renderer",{hidden:!j.showRenderer},h.RADIO("HTML-CSS","renderer",{action:a.Renderer}),h.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),h.SUBMENU("Font Preference",{hidden:!j.showFontMenu},h.LABEL("For HTML-CSS:"),h.RADIO("Auto","font",{action:a.Font}),h.RULE(),h.RADIO("TeX (local)","font",{action:a.Font}),h.RADIO("TeX (web)","font",{action:a.Font}),h.RADIO("TeX (image)","font",{action:a.Font}),h.RULE(),h.RADIO("STIX (local)","font",{action:a.Font})),h.SUBMENU("Contextual Menu",{hidden:!j.showContext},h.RADIO("MathJax","context"),h.RADIO("Browser","context")),h.COMMAND("Scale All Math ...",a.Scale)),h.RULE(),h.COMMAND("About MathJax",a.About),h.COMMAND("MathJax Help",a.Help))});a.showRenderer=function(l){a.cookie.showRenderer=j.showRenderer=l;a.saveCookie();a.menu.Find("Settings","Math Renderer").hidden=!l};a.showFontMenu=function(l){a.cookie.showFontMenu=j.showFontMenu=l;a.saveCookie();a.menu.Find("Settings","Font Preference").hidden=!l};a.showContext=function(l){a.cookie.showContext=j.showContext=l;a.saveCookie();a.menu.Find("Settings","Contextual Menu").hidden=!l};if(a.isMobile){(function(){var m=MathJax.Hub.config.menuSettings;var l=a.menu.Find("Settings","Zoom Trigger").menu;l.items[0].disabled=l.items[1].disabled=true;if(m.zoom==="Hover"||m.zoom=="Click"){m.zoom="None"}l.items=l.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MathJax.Menu.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",f,j.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",f,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
 
diff --git a/images/CloseX-31.png b/images/CloseX-31.png
new file mode 100644
index 000000000..d6b8ab4e8
Binary files /dev/null and b/images/CloseX-31.png differ
diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js
index 47b23a1b3..1bced7ae4 100644
--- a/unpacked/MathJax.js
+++ b/unpacked/MathJax.js
@@ -30,7 +30,7 @@ if (!window.MathJax) {window.MathJax= {}}
 if (!MathJax.Hub) {  // skip if already loaded
   
 MathJax.version = "1.1a";
-MathJax.fileversion = "1.1.8";
+MathJax.fileversion = "1.1.9";
 
 /**********************************************************/
 
@@ -1871,10 +1871,11 @@ MathJax.Hub.Startup = {
     },
     Remove: function (jax) {}
   },{
-    version: "1.1",
+    version: "1.1.1",
     directory: JAX.directory+"/output",
     extensionDir: JAX.extensionDir,
-    fontDir: ROOT+(BASE.isPacked?"":"/..")+"/fonts"
+    fontDir: ROOT+(BASE.isPacked?"":"/..")+"/fonts",
+    imageDir: ROOT+(BASE.isPacked?"":"/..")+"/images"
   });
   
   /***********************************/
diff --git a/unpacked/extensions/MathMenu.js b/unpacked/extensions/MathMenu.js
index 8bb0863dc..f125c9165 100644
--- a/unpacked/extensions/MathMenu.js
+++ b/unpacked/extensions/MathMenu.js
@@ -24,7 +24,7 @@
  */
 
 (function (HUB,HTML,AJAX) {
-  var VERSION = "1.1.5";
+  var VERSION = "1.1.6";
   
   MathJax.Extension.MathMenu = {version: VERSION};
 
@@ -180,8 +180,16 @@
         ondragstart: this.False, onselectstart: this.False, oncontextmenu: this.False,
         menuItem: this, className: "MathJax_Menu"
       },title);
-      
+
       for (var i = 0, m = this.items.length; i < m; i++) {this.items[i].Create(menu)}
+      if (MENU.isMobile) {
+        HTML.addElement(menu,"img",{
+          src: MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),
+          width: 31, height: 31,
+          style: {position:"absolute", top:"-15px", left:"-15px"},
+          ontouchstart: MENU.Close, ontouchend: this.False, menu: parent
+        });
+      }
       this.posted = true;
       
       menu.style.width = (menu.offsetWidth+2) + "px";
@@ -193,7 +201,7 @@
       if (!parent) {
         if (x + menu.offsetWidth > document.body.offsetWidth - this.margin)
            {x = document.body.offsetWidth - menu.offsetWidth - this.margin}
-        if (MENU.isMobile) {x -= menu.offsetWidth / 2; y -= 20}
+        if (MENU.isMobile) {x = Math.max(5,x-Math.floor(menu.offsetWidth/2)); y -= 20}
         MENU.skipUp = true;
       } else {
         var side = "left", mw = parent.offsetWidth;
@@ -229,9 +237,6 @@
         if (this.msieBackgroundBug) {detachEvent("onresize",MENU.Resize)}
       }
     },
-    Mouseup: function (event,menu) {
-      if (MENU.skipUp) {delete MENU.skipUp} else {this.Remove(event,menu)}
-    },
 
     False: FALSE,
     
@@ -259,6 +264,8 @@
 
     div: null,     // the DOM elements for the menu and submenus
 
+    Close:      function (event)
+      {return MENU.Event(event,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},
     Remove:     function (event) {return MENU.Event(event,this,"Remove")},
     Mouseover:  function (event) {return MENU.Event(event,this,"Mouseover")},
     Mouseout:   function (event) {return MENU.Event(event,this,"Mouseout")},
@@ -266,13 +273,15 @@
     Mouseup:    function (event) {return MENU.Event(event,this,"Mouseup")},
     Touchstart: function (event) {return MENU.Event(event,this,"Touchstart")},
     Touchend:   function (event) {return MENU.Event(event,this,"Touchend")},
-    Event: function (event,menu,type) {
+    Event: function (event,menu,type,force) {
+      if (MENU.isMobile && type === "Mouseover" && !force) {return FALSE(event)}
+      if (MENU.skipUp) {
+        if (type.match(/Mouseup|Touchend/)) {delete MENU.skipUp; return FALSE(event)}
+        if (type.match(/Touchstart/)) {delete MENU.skipUp}
+      }
       if (!event) {event = window.event}
       var item = menu.menuItem;
-//debug(type+" "+(item||{}).name);
-//try {
       if (item && item[type]) {return item[type](event,menu)}
-//} catch (err) {debug(err.message)}
       return null;
     },
 
@@ -314,7 +323,17 @@
     },
     
     saveCookie: function () {HTML.Cookie.Set("menu",this.cookie)},
-    getCookie: function () {this.cookie = HTML.Cookie.Get("menu")}
+    getCookie: function () {this.cookie = HTML.Cookie.Get("menu")},
+    
+    //
+    //  Preload images so they show up with the menu
+    //
+    getImages: function () {
+      if (MENU.isMobile) {
+        var close = new Image();
+        close.src = MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png");
+      }
+    }
 
   });
 
@@ -354,7 +373,7 @@
           menus[m].parentNode.removeChild(menus[m]);
           m--;
         }
-        if (this.Timer) {this.Timer(event,menu)}
+        if (this.Timer && !MENU.isMobile) {this.Timer(event,menu)}
       }
     },
     Mouseout: function (event,menu) {
@@ -368,7 +387,7 @@
     TouchEvent: function (event,menu,type) {
       if (this !== ITEM.lastItem) {
         if (ITEM.lastMenu) {MENU.Event(event,ITEM.lastMenu,"Mouseout")}
-        MENU.Event(event,menu,"Mouseover");
+        MENU.Event(event,menu,"Mouseover",true);
         ITEM.lastItem = this; ITEM.lastMenu = menu;
       }
       if (this.nativeTouch) {return null}
@@ -429,18 +448,10 @@
       event = {clientX: event.clientX, clientY: event.clientY}; // MSIE can't pass the event below
       this.timer = setTimeout(MathJax.Callback(["Mouseup",this,event,menu]),CONFIG.delay);
     },
-    Touchstart: function (event,menu) {
-      this.skipUp = !this.menu.posted;
-      return this.SUPER(arguments).Touchstart.apply(this,arguments);
-    },
     Touchend: function (event,menu) {
-      var result = false;
-      if (!this.skipUp) {
-        var forceout = this.menu.posted;
-        result = this.SUPER(arguments).Touchend.apply(this,arguments);
-        if (forceout) {this.Deactivate(menu); delete ITEM.lastItem; delete ITEM.lastMenu}
-      }
-      delete this.skipUp;
+      var forceout = this.menu.posted;
+      var result = this.SUPER(arguments).Touchend.apply(this,arguments);
+      if (forceout) {this.Deactivate(menu); delete ITEM.lastItem; delete ITEM.lastMenu}
       return result;
     },
     Mouseup: function (event,menu) {
@@ -861,7 +872,7 @@
       if (settings.zoom === "Hover" || settings.zoom == "Click") {settings.zoom = "None"}
       trigger.items = trigger.items.slice(0,4);
     
-      if (navigator.appVersion.match(/ Android /)) {
+      if (navigator.appVersion.match(/[ (]Android[) ]/)) {
         MathJax.Menu.ITEM.SUBMENU.Augment({marker: "\u00BB"});
       }
     })();
@@ -871,6 +882,7 @@
 
   MathJax.Callback.Queue(
     ["Styles",AJAX,CONFIG.styles],
+    ["getImages",MENU],
     ["Post",HUB.Startup.signal,"MathMenu Ready"],
     ["loadComplete",AJAX,"[MathJax]/extensions/MathMenu.js"]
   );