diff --git a/MathJax.js b/MathJax.js
index c045efe85..8d81dfe39 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="1.1.5";(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=MathJax.Object.Subclass({Init:function(reset){this.hooks=[];this.reset=reset},Add:function(hook,priority){if(priority==null){priority=10}if(!ISCALLBACK(hook)){hook=USING(hook)}hook.priority=priority;var i=this.hooks.length;while(i>0&&priority<this.hooks[i-1].priority){i--}this.hooks.splice(i,0,hook);return hook},Remove:function(hook){for(var i=0,m=this.hooks.length;i<m;i++){if(this.hooks[i]===hook){this.hooks.splice(i,1);return}}},Execute:function(){var callbacks=[{}];for(var i=0,m=this.hooks.length;i<m;i++){if(this.reset){this.hooks[i].reset()}var result=this.hooks[i].apply(window,arguments);if(ISCALLBACK(result)&&!result.called){callbacks.push(result)}}if(callbacks.length===1){return null}if(callbacks.length===2){return callbacks[1]}return AFTER.apply({},callbacks)}});var QUEUE=BASE.Object.Subclass({Init:function(){this.pending=0;this.running=0;this.queue=[];this.Push.apply(this,arguments)},Push:function(){var callback;for(var i=0,m=arguments.length;i<m;i++){callback=USING(arguments[i]);if(callback===arguments[i]&&!callback.called){callback=USING(["wait",this,callback])}this.queue.push(callback)}if(!this.running&&!this.pending){this.Process()}return callback},Process:function(queue){while(!this.running&&!this.pending&&this.queue.length){var callback=this.queue[0];queue=this.queue.slice(1);this.queue=[];this.Suspend();var result=callback();this.Resume();if(queue.length){this.queue=queue.concat(this.queue)}if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}}},Suspend:function(){this.running++},Resume:function(){if(this.running){this.running--}},call:function(){this.Process.apply(this,arguments)},wait:function(callback){return callback}});var SIGNAL=QUEUE.Subclass({Init:function(name){QUEUE.prototype.Init.call(this);this.name=name;this.posted=[];this.listeners=HOOKS(true)},Post:function(message,callback,forget){callback=USING(callback);if(this.posting||this.pending){this.Push(["Post",this,message,callback,forget])}else{this.callback=callback;callback.reset();if(!forget){this.posted.push(message)}this.Suspend();this.posting=true;var result=this.listeners.Execute(message);if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}this.Resume();delete this.posting;if(!this.pending){this.call()}}return callback},Clear:function(callback){callback=USING(callback);if(this.posting||this.pending){callback=this.Push(["Clear",this,callback])}else{this.posted=[];callback()}return callback},call:function(){this.callback(this);this.Process()},Interest:function(callback,ignorePast,priority){callback=USING(callback);this.listeners.Add(callback,priority);if(!ignorePast){for(var i=0,m=this.posted.length;i<m;i++){callback.reset();var result=callback(this.posted[i]);if(ISCALLBACK(result)&&i===this.posted.length-1){WAITFOR(result,this)}}}return callback},NoInterest:function(callback){this.listeners.Remove(callback)},MessageHook:function(msg,callback,priority){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=HOOKS(true)}this.hooks[msg].Add(callback,priority);for(var i=0,m=this.posted.length;i<m;i++){if(this.posted[i]==msg){callback.reset();callback(this.posted[i])}}return callback},ExecuteHooks:function(msg,more){var type=((msg instanceof Array)?msg[0]:msg);if(!this.hooks[type]){return null}return this.hooks[type].Execute(msg)}},{signals:{},find:function(name){if(!SIGNAL.signals[name]){SIGNAL.signals[name]=new SIGNAL(name)}return SIGNAL.signals[name]}});BASE.Callback=BASE.CallBack=USING;BASE.Callback.Delay=DELAY;BASE.Callback.After=AFTER;BASE.Callback.Queue=QUEUE;BASE.Callback.Signal=SIGNAL.find;BASE.Callback.Hooks=HOOKS})("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]){this.addHook(j,l)}else{this.head=g(this.head);if(this.loader[k]){this.loader[k].call(this,j,l)}else{throw Error("Can't load files of type "+k)}}return l},LoadHook:function(k,l,j){l=a.Callback(l);if(k instanceof Object){for(var h in k){k=k[h]}}k=this.fileURL(k);if(this.loaded[k]){l(this.loaded[k])}else{this.addHook(k,l,j)}return l},addHook:function(i,j,h){if(!this.loadHooks[i]){this.loadHooks[i]=MathJax.Callback.Hooks()}this.loadHooks[i].Add(j,h)},Preloading:function(){for(var k=0,h=arguments.length;k<h;k++){var j=this.fileURL(arguments[k]);if(!this.loading[j]){this.loading[j]={preloaded:true}}}},loader:{JS:function(i,k){var h=document.createElement("script");var j=a.Callback(["loadTimeout",this,i]);this.loading[i]={callback:k,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];this.addHook(h,i.callback)}else{this.loaded[h]=this.STATUS.OK;i={status:this.STATUS.OK}}if(!this.loadHooks[h]){return null}return this.loadHooks[h].Execute(i.status)},loadTimeout:function(h){if(this.loading[h].timeout){clearTimeout(this.loading[h].timeout)}this.loading[h].status=this.STATUS.ERROR;this.loadError(h);this.loadComplete(h)},loadError:function(h){a.Message.Set("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={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(){if(!document.body){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 a=document.body;if(MathJax.Hub.Browser.isMSIE){a=this.frame=this.addDiv(document.body);a.style.position="absolute";a.style.border=a.style.margin=a.style.padding="0px";a.style.zIndex="101";a.style.height="0px";a=this.addDiv(a);a.id="MathJax_MSIE_Frame";window.attachEvent("onscroll",this.MoveFrame);window.attachEvent("onresize",this.MoveFrame);this.MoveFrame()}this.div=this.addDiv(a);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+="."}else{if(a.match(/^Typesetting /)){if(!this.typesetting){this.typesetting="Typesetting "}a=this.typesetting;this.typesetting+="."}}}}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;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(this.textNodeBug){this.div.innerHTML=this.log[this.current].text}else{this.text.nodeValue=this.log[this.current].text}}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},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:[],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"}}},preProcessors:MathJax.Callback.Hooks(true),inputJax:{},outputJax:{order:{}},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(){MathJax.Hub.preProcessors.Add.apply(MathJax.Hub.preProcessors,arguments)},MessageHook:function(){return MathJax.Hub.signal.MessageHook.apply(MathJax.Hub.signal,arguments)},StartupHook:function(){return MathJax.Hub.Startup.signal.MessageHook.apply(MathJax.Hub.Startup.signal,arguments)},LoadHook:function(){return MathJax.Ajax.LoadHook.apply(MathJax.Ajax,arguments)}},getAllJax:function(e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax){c.push(b[d].MathJax.elementJax)}}return c},getJaxByType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].MathJax.elementJax.mimeType===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxByInputType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].type&&b[d].type.replace(/ *;(.|\s)*/,"")===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxFor:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a.MathJax){return a.MathJax.elementJax}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a.tagName!=null&&a.tagName.toLowerCase()==="script"){if(a.MathJax){return(a.MathJax.state===MathJax.ElementJax.STATE.PROCESSED?1:-1)}if(a.type&&this.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},Queue:function(){return this.queue.Push.apply(this.queue,arguments)},Typeset:function(e,f){if(!MathJax.isReady){return null}var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["PreProcess",this,c.elements[d]],["Process",this,c.elements[d]])}}return b.Push(c.callback)},PreProcess:function(e,f){var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["Post",this.signal,["Begin PreProcess",c.elements[d]]],(arguments.callee.disabled?{}:["Execute",this.preProcessors,c.elements[d]]),["Post",this.signal,["End PreProcess",c.elements[d]]])}}return b.Push(c.callback)},Process:function(a,b){return this.takeAction("Process",a,b)},Update:function(a,b){return this.takeAction("Update",a,b)},Reprocess:function(a,b){return this.takeAction("Reprocess",a,b)},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],["Post",this.signal,["Begin Math Input",d.elements[e]]],["processInput",this,a],["Post",this.signal,["End Math Input",d.elements[e]]],["Post",this.signal,["Begin Math Output",d.elements[e]]],["processOutput",this,a],["Post",this.signal,["End Math Output",d.elements[e]]],["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.needsUpdate()){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}else{b.MathJax.state=a.STATE.PROCESSED}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}}},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.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}},processInput:function(e,a,b){if(arguments.callee.disabled){return null}if(!a){a=new Date().getTime()}var k,j=MathJax.ElementJax.STATE;var f=0,h,c;try{while(f<e.length){h=e[f];if(!h){f++;continue}c=h.previousSibling;if(c&&c.className==="MathJax_Error"){c.parentNode.removeChild(c)}var g=h.type.replace(/ *;(.|\s)*/,"");if(!h.MathJax||h.MathJax.state===j.PROCESSED){f++;continue}if(!h.MathJax.elementJax||h.MathJax.state===j.UPDATE){this.checkScriptSiblings(h);k=this.inputJax[g].Process(h);if(typeof k==="function"){if(k.called){continue}this.RestartAfter(k)}k.Attach(h,this.inputJax[g].id);h.MathJax.state=j.OUTPUT}f++;if(new Date().getTime()-a>this.processUpdateTime&&f<e.length){a=0;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(d){return this.processError(d,e,f,b,a,"Input")}if((b||e.length)&&this.config.showProcessingMessages){MathJax.Message.Set("Processing math: 100%",0)}return null},processOutput:function(f,c,d){if(arguments.callee.disabled){return null}if(!c){c=new Date().getTime()}var k,j=MathJax.ElementJax.STATE;var g=0,h;try{while(g<f.length){h=f[g];if(!h||!h.MathJax){g++;continue}var a=h.MathJax.elementJax;if(!a){g++;continue}if(!this.outputJax[a.mimeType]){h.MathJax.state=j.UPDATE;throw Error("No output jax registered for "+a.mimeType)}var b=this.outputJax[a.mimeType][0];a.outputJax=b.id;k=b.Process(h);if(typeof k==="function"){if(k.called){continue}this.RestartAfter(k)}h.MathJax.state=j.PROCESSED;g++;this.signal.Post(["New Math",a.inputID]);if(new Date().getTime()-c>this.processUpdateTime&&g<f.length){c=0;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(e){return this.processError(e,f,g,d,c,"Output")}if((d||f.length)&&this.config.showProcessingMessages){MathJax.Message.Set("Typesetting math: 100%",0);MathJax.Message.Clear(0)}return null},processError:function(f,b,c,h,g,d){if(!f.restart){if(!this.config.errorSettings.message){throw f}this.formatError(b[c],f);c++}if(!h){h=0}var a=Math.floor((h+c)/(h+b.length)*100);h+=c;var e=(d==="Output"?"Typesetting":"Processing");if(this.config.showProcessingMessages){MathJax.Message.Set(e+" math: "+a+"%",0)}return MathJax.Callback.After(["process"+d,this,b.slice(c),g,h],f.restart)},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 e=MathJax.Hub.config,c=MathJax.Hub.outputJax;for(var f=0,b=e.jax.length,d=0;f<b;f++){if(e.jax[f].substr(0,7)==="output/"){c.order[e.jax[f].substr(7)]=d;d++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,e.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"])},Menu:function(){var b=MathJax.Hub.config.menuSettings,a=MathJax.Hub.outputJax,d;for(var c in a){if(a.hasOwnProperty(c)){if(a[c].length){d=a[c];break}}}if(d&&d.length){if(b.renderer&&b.renderer!==d[0].id){d.unshift(MathJax.OutputJax[b.renderer])}b.renderer=d[0].id}},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(n){if(n==="config.js"){return a.loadComplete(this.directory+"/"+n)}else{var j=f.Queue();j.Push(c.Register.StartupHook("End Config",{}),["Post",c.Startup.signal,this.id+" Jax Config"],["Config",this],["Post",c.Startup.signal,this.id+" Jax Require"]);if(this.require){var k=this.require;if(!(k instanceof Array)){k=[k]}for(var l=0,h=k.length;l<h;l++){j.Push(a.Require(k[l]))}}return j.Push([function(i,m){return MathJax.Hub.Startup.loadArray(i.extensions,"extensions/"+m)},this.config||{},this.id],["Post",c.Startup.signal,this.id+" Jax Startup"],["Startup",this],["Post",c.Startup.signal,this.id+" Jax Ready"],[function(i){i.Process=i.Translate},this.constructor.prototype],["loadComplete",a,this.directory+"/"+n])}}},{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.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},needsUpdate:function(h){var i=h.SourceElement();return(h.originalText!==(i.text==""?i.innerHTML:i.text))},Register:function(h){if(!c.inputJax){c.inputJax={}}c.inputJax[h]=this}},{version:"1.1",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({Register:function(i){var h=c.outputJax;if(!h[i]){h[i]=[]}if(h[i].length&&(this.id===c.config.menuSettings.renderer||(h.order[this.id]||0)<(h.order[h[i][0].id]||0))){h[i].unshift(this)}else{h[i].push(this)}if(!this.require){this.require=[]}else{if(!(this.require instanceof Array)){this.require=[this.require]}}this.require.push(b.ElementJax.directory+"/"+(i.split(/\//)[1])+"/"+this.JAXFILE)},Remove:function(h){}},{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(h){b.OutputJax[this.outputJax].Remove(this);if(!h){c.signal.Post(["Remove Math",this.inputID]);this.Detach()}},needsUpdate:function(){return b.InputJax[this.inputJax].needsUpdate(this)},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=(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"}}}}}}},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"}}}}},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],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="1.1.5";(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=MathJax.Object.Subclass({Init:function(reset){this.hooks=[];this.reset=reset},Add:function(hook,priority){if(priority==null){priority=10}if(!ISCALLBACK(hook)){hook=USING(hook)}hook.priority=priority;var i=this.hooks.length;while(i>0&&priority<this.hooks[i-1].priority){i--}this.hooks.splice(i,0,hook);return hook},Remove:function(hook){for(var i=0,m=this.hooks.length;i<m;i++){if(this.hooks[i]===hook){this.hooks.splice(i,1);return}}},Execute:function(){var callbacks=[{}];for(var i=0,m=this.hooks.length;i<m;i++){if(this.reset){this.hooks[i].reset()}var result=this.hooks[i].apply(window,arguments);if(ISCALLBACK(result)&&!result.called){callbacks.push(result)}}if(callbacks.length===1){return null}if(callbacks.length===2){return callbacks[1]}return AFTER.apply({},callbacks)}});var QUEUE=BASE.Object.Subclass({Init:function(){this.pending=0;this.running=0;this.queue=[];this.Push.apply(this,arguments)},Push:function(){var callback;for(var i=0,m=arguments.length;i<m;i++){callback=USING(arguments[i]);if(callback===arguments[i]&&!callback.called){callback=USING(["wait",this,callback])}this.queue.push(callback)}if(!this.running&&!this.pending){this.Process()}return callback},Process:function(queue){while(!this.running&&!this.pending&&this.queue.length){var callback=this.queue[0];queue=this.queue.slice(1);this.queue=[];this.Suspend();var result=callback();this.Resume();if(queue.length){this.queue=queue.concat(this.queue)}if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}}},Suspend:function(){this.running++},Resume:function(){if(this.running){this.running--}},call:function(){this.Process.apply(this,arguments)},wait:function(callback){return callback}});var SIGNAL=QUEUE.Subclass({Init:function(name){QUEUE.prototype.Init.call(this);this.name=name;this.posted=[];this.listeners=HOOKS(true)},Post:function(message,callback,forget){callback=USING(callback);if(this.posting||this.pending){this.Push(["Post",this,message,callback,forget])}else{this.callback=callback;callback.reset();if(!forget){this.posted.push(message)}this.Suspend();this.posting=true;var result=this.listeners.Execute(message);if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}this.Resume();delete this.posting;if(!this.pending){this.call()}}return callback},Clear:function(callback){callback=USING(callback);if(this.posting||this.pending){callback=this.Push(["Clear",this,callback])}else{this.posted=[];callback()}return callback},call:function(){this.callback(this);this.Process()},Interest:function(callback,ignorePast,priority){callback=USING(callback);this.listeners.Add(callback,priority);if(!ignorePast){for(var i=0,m=this.posted.length;i<m;i++){callback.reset();var result=callback(this.posted[i]);if(ISCALLBACK(result)&&i===this.posted.length-1){WAITFOR(result,this)}}}return callback},NoInterest:function(callback){this.listeners.Remove(callback)},MessageHook:function(msg,callback,priority){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=HOOKS(true)}this.hooks[msg].Add(callback,priority);for(var i=0,m=this.posted.length;i<m;i++){if(this.posted[i]==msg){callback.reset();callback(this.posted[i])}}return callback},ExecuteHooks:function(msg,more){var type=((msg instanceof Array)?msg[0]:msg);if(!this.hooks[type]){return null}return this.hooks[type].Execute(msg)}},{signals:{},find:function(name){if(!SIGNAL.signals[name]){SIGNAL.signals[name]=new SIGNAL(name)}return SIGNAL.signals[name]}});BASE.Callback=BASE.CallBack=USING;BASE.Callback.Delay=DELAY;BASE.Callback.After=AFTER;BASE.Callback.Queue=QUEUE;BASE.Callback.Signal=SIGNAL.find;BASE.Callback.Hooks=HOOKS})("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]){this.addHook(j,l)}else{this.head=g(this.head);if(this.loader[k]){this.loader[k].call(this,j,l)}else{throw Error("Can't load files of type "+k)}}return l},LoadHook:function(k,l,j){l=a.Callback(l);if(k instanceof Object){for(var h in k){k=k[h]}}k=this.fileURL(k);if(this.loaded[k]){l(this.loaded[k])}else{this.addHook(k,l,j)}return l},addHook:function(i,j,h){if(!this.loadHooks[i]){this.loadHooks[i]=MathJax.Callback.Hooks()}this.loadHooks[i].Add(j,h)},Preloading:function(){for(var k=0,h=arguments.length;k<h;k++){var j=this.fileURL(arguments[k]);if(!this.loading[j]){this.loading[j]={preloaded:true}}}},loader:{JS:function(i,k){var h=document.createElement("script");var j=a.Callback(["loadTimeout",this,i]);this.loading[i]={callback:k,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];this.addHook(h,i.callback)}else{this.loaded[h]=this.STATUS.OK;i={status:this.STATUS.OK}}if(!this.loadHooks[h]){return null}return this.loadHooks[h].Execute(i.status)},loadTimeout:function(h){if(this.loading[h].timeout){clearTimeout(this.loading[h].timeout)}this.loading[h].status=this.STATUS.ERROR;this.loadError(h);this.loadComplete(h)},loadError:function(h){a.Message.Set("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={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(){if(!document.body){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 a=document.body;if(MathJax.Hub.Browser.isMSIE){a=this.frame=this.addDiv(document.body);a.style.position="absolute";a.style.border=a.style.margin=a.style.padding="0px";a.style.zIndex="101";a.style.height="0px";a=this.addDiv(a);a.id="MathJax_MSIE_Frame";window.attachEvent("onscroll",this.MoveFrame);window.attachEvent("onresize",this.MoveFrame);this.MoveFrame()}this.div=this.addDiv(a);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+="."}else{if(a.match(/^Typesetting /)){if(!this.typesetting){this.typesetting="Typesetting "}a=this.typesetting;this.typesetting+="."}}}}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;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,0]),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);delete this.timer}if(a===0){this.Remove()}else{this.timer=setTimeout(MathJax.Callback(["Remove",this]),(a||600))}}else{if(this.textNodeBug){this.div.innerHTML=this.log[this.current].text}else{this.text.nodeValue=this.log[this.current].text}}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},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:[],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"}}},preProcessors:MathJax.Callback.Hooks(true),inputJax:{},outputJax:{order:{}},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(){MathJax.Hub.preProcessors.Add.apply(MathJax.Hub.preProcessors,arguments)},MessageHook:function(){return MathJax.Hub.signal.MessageHook.apply(MathJax.Hub.signal,arguments)},StartupHook:function(){return MathJax.Hub.Startup.signal.MessageHook.apply(MathJax.Hub.Startup.signal,arguments)},LoadHook:function(){return MathJax.Ajax.LoadHook.apply(MathJax.Ajax,arguments)}},getAllJax:function(e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax){c.push(b[d].MathJax.elementJax)}}return c},getJaxByType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].MathJax.elementJax.mimeType===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxByInputType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].type&&b[d].type.replace(/ *;(.|\s)*/,"")===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxFor:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a.MathJax){return a.MathJax.elementJax}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a.tagName!=null&&a.tagName.toLowerCase()==="script"){if(a.MathJax){return(a.MathJax.state===MathJax.ElementJax.STATE.PROCESSED?1:-1)}if(a.type&&this.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},Queue:function(){return this.queue.Push.apply(this.queue,arguments)},Typeset:function(e,f){if(!MathJax.isReady){return null}var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["PreProcess",this,c.elements[d]],["Process",this,c.elements[d]])}}return b.Push(c.callback)},PreProcess:function(e,f){var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["Post",this.signal,["Begin PreProcess",c.elements[d]]],(arguments.callee.disabled?{}:["Execute",this.preProcessors,c.elements[d]]),["Post",this.signal,["End PreProcess",c.elements[d]]])}}return b.Push(c.callback)},Process:function(a,b){return this.takeAction("Process",a,b)},Update:function(a,b){return this.takeAction("Update",a,b)},Reprocess:function(a,b){return this.takeAction("Reprocess",a,b)},takeAction:function(g,e,h){var c=this.elementCallback(e,h);var b=MathJax.Callback.Queue(["Clear",this.signal]);for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){var f={scripts:[],start:new Date().getTime(),i:0,jax:{}};b.Push(["Post",this.signal,["Begin "+g,c.elements[d]]],["Post",this.signal,["Begin Math",c.elements[d],g]],["prepareScripts",this,g,c.elements[d],f],["Post",this.signal,["Begin Math Input",c.elements[d],g]],["processInput",this,f],["Post",this.signal,["End Math Input",c.elements[d],g]],["prepareOutput",this,f,"preTranslate"],["Post",this.signal,["Begin Math Output",c.elements[d],g]],["processOutput",this,f],["Post",this.signal,["End Math Output",c.elements[d],g]],["prepareOutput",this,f,"postTranslate"],["Post",this.signal,["End Math",c.elements[d],g]],["Post",this.signal,["End "+g,c.elements[d]]])}}return b.Push(c.callback)},scriptAction:{Process:function(a){},Update:function(b){var a=b.MathJax.elementJax;if(a&&a.needsUpdate()){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}else{b.MathJax.state=a.STATE.PROCESSED}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}}},prepareScripts:function(h,e,g){if(arguments.callee.disabled){return}var b=this.elementScripts(e);var f=MathJax.ElementJax.STATE;for(var d=0,a=b.length;d<a;d++){var c=b[d];if(c.type&&this.inputJax[c.type.replace(/ *;(.|\n)*/,"")]){if(c.MathJax&&c.MathJax.state!==f.PENDING){this.scriptAction[h](c)}if(!c.MathJax){c.MathJax={state:f.PENDING}}if(c.MathJax.state!==f.PROCESSED){g.scripts.push(c)}}}},checkScriptSiblings:function(a){if(a.MathJax.checked){return}var b=this.config,f=a.previousSibling;if(f&&f.nodeName==="#text"){var d,e,c=a.nextSibling;if(c&&c.nodeName!=="#text"){c=null}if(b.preJax){if(typeof(b.preJax)==="string"){b.preJax=new RegExp(b.preJax+"$")}d=f.nodeValue.match(b.preJax)}if(b.postJax&&c){if(typeof(b.postJax)==="string"){b.postJax=new RegExp("^"+b.postJax)}e=c.nodeValue.match(b.postJax)}if(d&&(!b.postJax||e)){f.nodeValue=f.nodeValue.replace(b.preJax,(d.length>1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var h,e,d=a.scripts.length;try{while(a.i<d){h=a.scripts[a.i];if(!h){a.i++;continue}e=h.previousSibling;if(e&&e.className==="MathJax_Error"){e.parentNode.removeChild(e)}if(!h.MathJax||h.MathJax.state===i.PROCESSED){a.i++;continue}if(!h.MathJax.elementJax||h.MathJax.state===i.UPDATE){this.checkScriptSiblings(h);var g=h.type.replace(/ *;(.|\s)*/,"");b=this.inputJax[g].Process(h);if(typeof b==="function"){if(b.called){continue}this.RestartAfter(b)}b.Attach(h,this.inputJax[g].id);h.MathJax.state=i.OUTPUT;if(!this.outputJax[b.mimeType]){h.MathJax.state=i.UPDATE;throw Error("No output jax registered for "+b.mimeType)}b.outputJax=this.outputJax[b.mimeType][0].id;if(!a.jax[b.outputJax]){a.jax[b.outputJax]=[]}a.jax[b.outputJax].push(h)}a.i++;var c=new Date().getTime();if(c-a.start>this.processUpdateTime&&a.i<a.scripts.length){a.start=c;tihs.processMessage(a,"Input");this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(f){return this.processError(f,a,"Input")}if(a.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set("Processing math: 100%",0)}a.start=new Date().getTime();a.i=0;return null},prepareOutput:function(a,d){for(var c in a.jax){if(a.jax.hasOwnProperty(c)){var b=MathJax.OutputJax[c];if(b[d]){b[d](a.jax[c])}}}},processOutput:function(h){var b,g=MathJax.ElementJax.STATE,d,a=h.scripts.length;try{while(h.i<a){d=h.scripts[h.i];if(!d||!d.MathJax){h.i++;continue}var c=d.MathJax.elementJax;if(!c){h.i++;continue}b=MathJax.OutputJax[c.outputJax].Process(d);if(typeof b==="function"){if(b.called){continue}this.RestartAfter(b)}d.MathJax.state=g.PROCESSED;h.i++;if(d.MathJax.preview){d.MathJax.preview.style.display="none"}this.signal.Post(["New Math",c.inputID]);var e=new Date().getTime();if(e-h.start>this.processUpdateTime&&h.i<h.scripts.length){h.start=e;this.processMessage(h,"Output");this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(f){return this.processError(f,h,"Output")}if(h.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set("Typesetting math: 100%",0,600)}return null},postOutput:function(a){for(var c in a.jax){if(a.jax.hasOwnProperty(c)){var b=MathJax.OutputJax[c];if(b.postTranslate){b.preTranslate(a.jax[c])}}}},processMessage:function(d,b){var a=Math.floor(d.i/(d.scripts.length)*100);var c=(b==="Output"?"Typesetting":"Processing");if(this.config.showProcessingMessages){MathJax.Message.Set(c+" math: "+a+"%",0)}},processError:function(b,c,a){if(!b.restart){if(!this.config.errorSettings.message){throw b}this.formatError(c.scripts[c.i],b);c.i++}this.processMessage(c,a);return MathJax.Callback.After(["process"+a,this,c],b.restart)},formatError:function(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 e=MathJax.Hub.config,c=MathJax.Hub.outputJax;for(var f=0,b=e.jax.length,d=0;f<b;f++){if(e.jax[f].substr(0,7)==="output/"){c.order[e.jax[f].substr(7)]=d;d++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,e.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"])},Menu:function(){var b=MathJax.Hub.config.menuSettings,a=MathJax.Hub.outputJax,d;for(var c in a){if(a.hasOwnProperty(c)){if(a[c].length){d=a[c];break}}}if(d&&d.length){if(b.renderer&&b.renderer!==d[0].id){d.unshift(MathJax.OutputJax[b.renderer])}b.renderer=d[0].id}},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(n){if(n==="config.js"){return a.loadComplete(this.directory+"/"+n)}else{var j=f.Queue();j.Push(c.Register.StartupHook("End Config",{}),["Post",c.Startup.signal,this.id+" Jax Config"],["Config",this],["Post",c.Startup.signal,this.id+" Jax Require"]);if(this.require){var k=this.require;if(!(k instanceof Array)){k=[k]}for(var l=0,h=k.length;l<h;l++){j.Push(a.Require(k[l]))}}return j.Push([function(i,m){return MathJax.Hub.Startup.loadArray(i.extensions,"extensions/"+m)},this.config||{},this.id],["Post",c.Startup.signal,this.id+" Jax Startup"],["Startup",this],["Post",c.Startup.signal,this.id+" Jax Ready"],[function(i){i.Process=i.Translate},this.constructor.prototype],["loadComplete",a,this.directory+"/"+n])}}},{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.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},needsUpdate:function(h){var i=h.SourceElement();return(h.originalText!==(i.text==""?i.innerHTML:i.text))},Register:function(h){if(!c.inputJax){c.inputJax={}}c.inputJax[h]=this}},{version:"1.1",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({Register:function(i){var h=c.outputJax;if(!h[i]){h[i]=[]}if(h[i].length&&(this.id===c.config.menuSettings.renderer||(h.order[this.id]||0)<(h.order[h[i][0].id]||0))){h[i].unshift(this)}else{h[i].push(this)}if(!this.require){this.require=[]}else{if(!(this.require instanceof Array)){this.require=[this.require]}}this.require.push(b.ElementJax.directory+"/"+(i.split(/\//)[1])+"/"+this.JAXFILE)},Remove:function(h){}},{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(h){b.OutputJax[this.outputJax].Remove(this);if(!h){c.signal.Post(["Remove Math",this.inputID]);this.Detach()}},needsUpdate:function(){return b.InputJax[this.inputJax].needsUpdate(this)},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=(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"}}}}}}},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"}}}}},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],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/unpacked/MathJax.js b/unpacked/MathJax.js
index 94fd722b2..c0d3a0784 100644
--- a/unpacked/MathJax.js
+++ b/unpacked/MathJax.js
@@ -1137,7 +1137,7 @@ MathJax.Message = {
         this.status = true;
       }
     }
-    if (clearDelay) {setTimeout(MathJax.Callback(["Clear",this,n]),clearDelay)}
+    if (clearDelay) {setTimeout(MathJax.Callback(["Clear",this,n,0]),clearDelay)}
     return n;
   },
   
@@ -1149,8 +1149,9 @@ MathJax.Message = {
       if (this.text) {
         if (this.div.parentNode == null) {this.Init()} // see ASCIIMathML comments above
         if (this.current == null) {
-          if (this.timer) {clearTimeout(this.timer)}
-          this.timer = setTimeout(MathJax.Callback(["Remove",this]),(delay||600));
+          if (this.timer) {clearTimeout(this.timer); delete this.timer}
+          if (delay === 0) {this.Remove()}
+            else {this.timer = setTimeout(MathJax.Callback(["Remove",this]),(delay||600))}
         } else if (this.textNodeBug) {this.div.innerHTML = this.log[this.current].text}
                                 else {this.text.nodeValue = this.log[this.current].text}
         if (this.status) {window.status = ""; delete this.status}
@@ -1343,18 +1344,25 @@ MathJax.Hub = {
     var queue = MathJax.Callback.Queue(["Clear",this.signal]);
     for (var i = 0, m = ec.elements.length; i < m; i++) {
       if (ec.elements[i]) {
-        var scripts = []; // filled in by prepareScripts
+        var state = {
+          scripts: [],                  // filled in by prepareScripts
+          start: new Date().getTime(),  // timer for processing messages
+          i: 0,                         // current script
+          jax: {}                       // scripts grouped by output jax
+        };
         queue.Push(
           ["Post",this.signal,["Begin "+action,ec.elements[i]]],
-          ["Post",this.signal,["Begin Math",ec.elements[i]]],
-          ["prepareScripts",this,action,ec.elements[i],scripts],
-          ["Post",this.signal,["Begin Math Input",ec.elements[i]]],
-          ["processInput",this,scripts],
-          ["Post",this.signal,["End Math Input",ec.elements[i]]],
-          ["Post",this.signal,["Begin Math Output",ec.elements[i]]],
-          ["processOutput",this,scripts],
-          ["Post",this.signal,["End Math Output",ec.elements[i]]],
-          ["Post",this.signal,["End Math",ec.elements[i]]],
+          ["Post",this.signal,["Begin Math",ec.elements[i],action]],
+          ["prepareScripts",this,action,ec.elements[i],state],
+          ["Post",this.signal,["Begin Math Input",ec.elements[i],action]],
+          ["processInput",this,state],
+          ["Post",this.signal,["End Math Input",ec.elements[i],action]],
+          ["prepareOutput",this,state,"preTranslate"],
+          ["Post",this.signal,["Begin Math Output",ec.elements[i],action]],
+          ["processOutput",this,state],
+          ["Post",this.signal,["End Math Output",ec.elements[i],action]],
+          ["prepareOutput",this,state,"postTranslate"],
+          ["Post",this.signal,["End Math",ec.elements[i],action]],
           ["Post",this.signal,["End "+action,ec.elements[i]]]
         );
       }
@@ -1375,7 +1383,7 @@ MathJax.Hub = {
     }
   },
   
-  prepareScripts: function (action,element,math) {
+  prepareScripts: function (action,element,state) {
     if (arguments.callee.disabled) return;
     var scripts = this.elementScripts(element);
     var STATE = MathJax.ElementJax.STATE;
@@ -1385,19 +1393,17 @@ MathJax.Hub = {
         if (script.MathJax && script.MathJax.state !== STATE.PENDING)
           {this.scriptAction[action](script)}
         if (!script.MathJax) {script.MathJax = {state: STATE.PENDING}}
-        if (script.MathJax.state !== STATE.PROCESSED) {math.push(script)}
+        if (script.MathJax.state !== STATE.PROCESSED) {state.scripts.push(script)}
       }
     }
   },
   
   checkScriptSiblings: function (script) {
-    if (script.MathJax && script.MathJax.checked) return;
-    var config = this.config;
-    var pre = script.previousSibling;
-    if (pre && pre.nodeName == "#text") {
-      var preJax,postJax;
-      var post = script.nextSibling;
-      if (post && post.nodeName != "#text") {post = null}
+    if (script.MathJax.checked) return;
+    var config = this.config, pre = script.previousSibling;
+    if (pre && pre.nodeName === "#text") {
+      var preJax,postJax, post = script.nextSibling;
+      if (post && post.nodeName !== "#text") {post = null}
       if (config.preJax) {
         if (typeof(config.preJax) === "string") {config.preJax = new RegExp(config.preJax+"$")}
         preJax = pre.nodeValue.match(config.preJax);
@@ -1417,87 +1423,152 @@ MathJax.Hub = {
       }
       if (pre && !pre.nodeValue.match(/\S/)) {pre = pre.previousSibling}
     }
-    if (config.preRemoveClass && pre && pre.className == config.preRemoveClass) {
-      try {pre.innerHTML = ""} catch (err) {}
-      pre.style.display = "none";
-    }
-    if (script.MathJax) {script.MathJax.checked = 1}
+    if (config.preRemoveClass && pre && pre.className === config.preRemoveClass)
+      {script.MathJax.preview = pre}
+    script.MathJax.checked = 1;
   },
   
-  processInput: function (scripts,start,n) {
-    if (arguments.callee.disabled) {return null}
-    if (!start) {start = new Date().getTime()}
-    var result, STATE = MathJax.ElementJax.STATE;
-    var i = 0, script, prev;
+  processInput: function (state) {
+    var jax, STATE = MathJax.ElementJax.STATE;
+    var script, prev, m = state.scripts.length;
     try {
-      while (i < scripts.length) {
-        script = scripts[i]; if (!script) {i++; continue}
+      //
+      //  Loop through the scripts
+      //
+      while (state.i < m) {
+        script = state.scripts[state.i]; if (!script) {state.i++; continue}
+        //
+        //  Remove previous error marker, if any
+        //
         prev = script.previousSibling;
         if (prev && prev.className === "MathJax_Error") {prev.parentNode.removeChild(prev)}
-        var type = script.type.replace(/ *;(.|\s)*/,"");
-        if (!script.MathJax || script.MathJax.state === STATE.PROCESSED) {i++; continue};
+        //
+        //  Check if already processed or needs processing
+        //
+        if (!script.MathJax || script.MathJax.state === STATE.PROCESSED) {state.i++; continue};
         if (!script.MathJax.elementJax || script.MathJax.state === STATE.UPDATE) {
-          this.checkScriptSiblings(script);
-          result = this.inputJax[type].Process(script);
-          if (typeof result === 'function') {
-            if (result.called) continue; // go back and call Process() again
-            this.RestartAfter(result);
+          this.checkScriptSiblings(script);                 // remove preJax/postJax etc.
+          var type = script.type.replace(/ *;(.|\s)*/,"");  // the input jax type
+          jax = this.inputJax[type].Process(script);        // run the input jax
+          if (typeof jax === 'function') {                  // if a callback was returned
+            if (jax.called) continue;                       //   go back and call Process() again
+            this.RestartAfter(jax);                         //   wait for the callback
           }
-          result.Attach(script,this.inputJax[type].id);
-          script.MathJax.state = STATE.OUTPUT;
+          jax.Attach(script,this.inputJax[type].id);        // register the jax on the script
+          script.MathJax.state = STATE.OUTPUT;              // mark it as needing output
+          //
+          if (!this.outputJax[jax.mimeType]) {              // check for existing output jax
+            script.MathJax.state = STATE.UPDATE;
+            throw Error("No output jax registered for "+jax.mimeType);
+          }
+          //
+          //  Record the output jax
+          //  and put this script in the queue for that jax
+          //  
+          jax.outputJax = this.outputJax[jax.mimeType][0].id;
+          if (!state.jax[jax.outputJax]) {state.jax[jax.outputJax] = []}
+          state.jax[jax.outputJax].push(script);
+        }
+        //
+        //  Go on to the next script, and check if we need to update the processing message
+        //
+        state.i++; var now = new Date().getTime();
+        if (now - state.start > this.processUpdateTime && state.i < state.scripts.length) {
+          state.start = now;
+          tihs.processMessage(state,"Input");
+          this.RestartAfter(MathJax.Callback.Delay(1));
         }
-        i++;
-        if (new Date().getTime() - start > this.processUpdateTime && i < scripts.length)
-          {start = 0; this.RestartAfter(MathJax.Callback.Delay(1))}
       }
-    } catch (err) {return this.processError(err,scripts,i,n,start,"Input")}
-    if ((n || scripts.length) && this.config.showProcessingMessages)
+    } catch (err) {return this.processError(err,state,"Input")}
+    //
+    //  Put up final message, reset the state and return
+    //
+    if (state.scripts.length && this.config.showProcessingMessages)
       {MathJax.Message.Set("Processing math: 100%",0)}
+    state.start = new Date().getTime(); state.i = 0;
     return null;
   },
+  
+  //
+  //  Pre- and post-translate sscripts by jax
+  //    (to get scaling factors, hide/show output, and so on)
+  //
+  prepareOutput: function (state,method) {
+    for (var id in state.jax) {if (state.jax.hasOwnProperty(id)) {
+      var JAX = MathJax.OutputJax[id];
+      if (JAX[method]) {JAX[method](state.jax[id])}
+    }}
+  },
 
-  processOutput: function (scripts,start,n) {
-    if (arguments.callee.disabled) {return null}
-    if (!start) {start = new Date().getTime()}
-    var result, STATE = MathJax.ElementJax.STATE;
-    var i = 0, script;
+  processOutput: function (state) {
+    var result, STATE = MathJax.ElementJax.STATE, script, m = state.scripts.length;
     try {
-      while (i < scripts.length) {
-        script = scripts[i]; if (!script || !script.MathJax) {i++; continue}
-        var jax = script.MathJax.elementJax; if (!jax) {i++; continue}
-        if (!this.outputJax[jax.mimeType]) {
-          script.MathJax.state = STATE.UPDATE;
-          throw Error("No output jax registered for "+jax.mimeType);
-        }
-        var outputJax = this.outputJax[jax.mimeType][0];
-        jax.outputJax = outputJax.id;
-        result = outputJax.Process(script);
+      //
+      //  Loop through the scripts
+      //
+      while (state.i < m) {
+        //
+        //  Check that there is an element jax
+        //
+        script = state.scripts[state.i]; if (!script || !script.MathJax) {state.i++; continue}
+        var jax = script.MathJax.elementJax; if (!jax) {state.i++; continue}
+        //
+        //  Call the output Jax's Process method (which will be its Translate()
+        //  method once loaded) and if it returns a call back, restart the processing.
+        //
+        result = MathJax.OutputJax[jax.outputJax].Process(script);
         if (typeof result === 'function') {
           if (result.called) continue; // go back and call Process() again
           this.RestartAfter(result);
         }
-        script.MathJax.state = STATE.PROCESSED; i++;
+        //
+        //  Mark it as complete and remove the preview
+        //
+        script.MathJax.state = STATE.PROCESSED; state.i++;
+        if (script.MathJax.preview) {script.MathJax.preview.style.display = "none"}
+        //
+        //  Signal that new math is available
+        //
         this.signal.Post(["New Math",jax.inputID]); // FIXME: wait for this?  (i.e., restart if returns uncalled callback)
-        if (new Date().getTime() - start > this.processUpdateTime && i < scripts.length)
-          {start = 0; this.RestartAfter(MathJax.Callback.Delay(1))}
+        //
+        //  Update the processing message, if needed
+        //
+        var now = new Date().getTime();
+        if (now - state.start > this.processUpdateTime && state.i < state.scripts.length) {
+          state.start = now;
+          this.processMessage(state,"Output");
+          this.RestartAfter(MathJax.Callback.Delay(1));
+        }
       }
-    } catch (err) {return this.processError(err,scripts,i,n,start,"Output")}
-    if ((n || scripts.length) && this.config.showProcessingMessages) {
-      MathJax.Message.Set("Typesetting math: 100%",0);
-      MathJax.Message.Clear(0);
-    }
+    } catch (err) {return this.processError(err,state,"Output")}
+    //
+    //  Put up the typesetting-complete message
+    //
+    if (state.scripts.length && this.config.showProcessingMessages)
+      {MathJax.Message.Set("Typesetting math: 100%",0,600)}
     return null;
   },
+  
+  postOutput: function (state) {
+    for (var id in state.jax) {if (state.jax.hasOwnProperty(id)) {
+      var JAX = MathJax.OutputJax[id];
+      if (JAX.postTranslate) {JAX.preTranslate(state.jax[id])}
+    }}
+  },
 
-  processError: function (err,scripts,i,n,start,type) {
-    if (!err.restart) {
-      if (!this.config.errorSettings.message) {throw err}
-      this.formatError(scripts[i],err); i++;
-    }
-    if (!n) {n = 0}; var m = Math.floor((n+i)/(n+scripts.length)*100); n += i;
+  processMessage: function (state,type) {
+    var m = Math.floor(state.i/(state.scripts.length)*100);
     var message = (type === "Output" ? "Typesetting" : "Processing");
     if (this.config.showProcessingMessages) {MathJax.Message.Set(message+" math: "+m+"%",0)}
-    return MathJax.Callback.After(["process"+type,this,scripts.slice(i),start,n],err.restart);
+  },
+
+  processError: function (err,state,type) {
+    if (!err.restart) {
+      if (!this.config.errorSettings.message) {throw err}
+      this.formatError(state.scripts[state.i],err); state.i++;
+    }
+    this.processMessage(state,type);
+    return MathJax.Callback.After(["process"+type,this,state],err.restart);
   },
   
   formatError: function (script,err) {