diff --git a/public/MathJax/MathJax.js b/public/MathJax/MathJax.js
index b886b88e..8d8a324a 100644
--- a/public/MathJax/MathJax.js
+++ b/public/MathJax/MathJax.js
@@ -26,5 +26,5 @@ if (!window.MathJax) {window.MathJax = {}}
 
 MathJax.isPacked = true;
 
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h=this.SourceElement();b.HTML.setScript(h,i);h.MathJax.state=this.STATE.UPDATE;return c.Update(h,j)},Reprocess:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.UPDATE;return c.Reprocess(h,i)},Update:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(){this.outputJax.Remove(this);c.signal.Post(["Remove Math",this.inputID]);this.Detach()},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=(i.text==""?i.innerHTML:i.text);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}},Detach:function(){var h=this.SourceElement();if(!h){return}try{delete h.MathJax}catch(i){h.MathJax=null}if(this.newID){h.id=""}},Clone:function(h){var i;for(i in 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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],["Message",q],function(){var i=f.Callback.Queue(q.Jax(),q.Extensions());return i.Push({})},["Menu",q],q.onLoad(),function(){MathJax.isReady=true},["Typeset",q],["Post",q.signal,"End"])})("MathJax")}};
 
diff --git a/public/MathJax/config/Accessible-full.js b/public/MathJax/config/Accessible-full.js
index 8171c12d..0a0ca520 100644
--- a/public/MathJax/config/Accessible-full.js
+++ b/public/MathJax/config/Accessible-full.js
@@ -52,43 +52,43 @@ MathJax.Hub.Config({
   
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
 
-(function(c){var h="1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
 
-MathJax.Extension.tex2jax={version:"1.1",config:{element:null,inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=this.config.element||document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(b,c){var d=this.match[b[0]];if(d!=null){this.search={end:d.end,mode:d.mode,open:c,olen:b[0].length,opos:this.pattern.lastIndex-b[0].length};this.switchPattern(d.pattern)}else{if(b[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+b[1]+"}",mode:"; mode=display",open:c,olen:0,opos:this.pattern.lastIndex-b[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var a=b[0].replace(/\\(.)/g,"$1");c.nodeValue=c.nodeValue.substr(0,b.index)+a+c.nodeValue.substr(b.index+b[0].length);this.pattern.lastIndex-=b[0].length-a.length}}return c},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{c.nodeValue+=" "}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
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this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var 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+(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
 
-MathJax.Extension["TeX/noUndefined"]={version:"1.0.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 
-(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for "+k)}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:c,name:"\\over",checkItem:function(m,k){if(m.type==="over"){d.Error("Ambiguous use of "+m.name)}if(m.isClose){var l=i.mfrac(this.num,this.mmlData(f));if(this.thickness!=null){l.linethickness=this.thickness}if(this.open||this.close){l.texClass=i.TEXCLASS.INNER;l.texWithDelims=c;l=i.mfenced(l).With({open:this.open,close:this.close})}return[b.mml(l),m]}return this.SUPER(arguments).checkItem.call(this,m)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:c,delim:"(",stopError:"Extra \\left or missing \\right",checkItem:function(l){if(l.type==="right"){var k=i.mfenced(this.data.length===1?this.data[0]:i.mrow.apply(i,this.data));return b.mml(k.With({open:this.delim,close:l.delim}))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:c,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:c,checkItem:function(k){if(k.type==="end"){if(k.name!==this.name){d.Error("\\begin{"+this.name+"} ended with \\end{"+k.name+"}")}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(k.type==="stop"){d.Error("Missing \\end{"+this.name+"}")}return this.SUPER(arguments).checkItem.call(this,k)}});b.end=b.Subclass({type:"end",isClose:c});b.style=b.Subclass({type:"style",checkItem:function(l){if(!l.isClose){return this.SUPER(arguments).checkItem.call(this,l)}var k=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(k),l]}});b.position=b.Subclass({type:"position",checkItem:function(l){if(l.isClose){d.Error("Missing box for "+this.name)}if(l.isNotStack){var k=l.mmlData();switch(this.move){case"vertical":k=i.mpadded(k).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(k)];case"horizontal":return[b.mml(this.left),l,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,l)}});b.array=b.Subclass({type:"array",isOpen:c,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(l){if(l.isClose&&l.type!=="over"){if(l.isEntry){this.EndEntry();this.clearEnv();return f}if(l.isCR){this.EndEntry();this.EndRow();this.clearEnv();return f}this.EndTable();this.clearEnv();var k=i.mtable.apply(i,this.table).With(this.arraydef);if(this.open||this.close){k=i.mfenced(k).With({open:this.open,close:this.close})}k=b.mml(k);if(this.requireClose){if(l.type==="close"){return k}d.Error("Missing close brace")}return[k,l]}return 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a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});if(MathJax.Hub.Browser.isMSIE){MathJax.InputJax.TeX.Definitions.mathchar0mi.digamma=["03DC",{variantForm:true}];MathJax.InputJax.TeX.Definitions.mathchar0mi.varkappa=["03F0",{variantForm:true}]}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashr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false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face 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g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);
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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}},Translate:function(g){if(!g.parentNode){return}if(!this.initialized){this.InitializeMML()}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS",src:"local('MathJax_AMS'), url('"+f+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+f+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+f+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+f+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+f+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+f+"/MathJax_Caligraphic-Bold.otf')"}}}})}a.TeXAtom.Augment({toNativeMML:function(h){var g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(j){for(var h=0,g=this.data.length;h<g;h++){j.appendChild(this.data[h].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);
 
-(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(j,g){if(g&&this.testCollection(g)){return g}for(var h=0,f=j.length;h<f;h++){if(j[h]===g){continue}if(this.testCollection(j[h])){return j[h]}}return null},testCollection:function(f){return this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DEFAULTFAMILY:"serif",DEFAULTWEIGHT:"normal",DEFAULTSTYLE:"normal",DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;var i=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=i+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&i!==100){this.em=a.mbase.prototype.em=f*i/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete 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i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var 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o=(h.bbox.rw-h.bbox.lw)+(u.bbox.rw-u.bbox.lw)-0.05,m=h.bbox.rw-h.bbox.lw-0.025;if(y.mid){v=this.createBox(j);this.createChar(v,y.mid,A,q);o+=v.bbox.w}if(g>o){var z=f.bbox.rw-f.bbox.lw,i=z-0.05,r,l,s=(y.mid?2:1);l=r=Math.ceil((g-o)/(s*i));i=(g-o)/(s*r);var p=(r/(r+1))*(z-i);i=z-p;m-=f.bbox.lw+p;while(s-->0){while(r-->0){this.placeBox(this.addBox(j,f.cloneNode(true)),m,0,true);m+=i}if(y.mid&&s){this.placeBox(v,m,0,true);m+=v.bbox.w-p;r=l}}}else{m-=(o-g)/2;if(y.mid){this.placeBox(v,m,0,true);m+=v.bbox.w}m-=(o-g)/2}this.placeBox(u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:Math.max(h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:Math.max(h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t.isMultiChar=true;this.setStackWidth(j,t.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var 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u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||this.FONTDATA.DEFAULTSTYLE,i=f.weight||this.FONTDATA.DEFAULTWEIGHT;if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,k,j,i){var h=k[5];if(h.img){return this.handleImg(g,f,k,j,i)}if(h.c==null){if(j<=65535){h.c=String.fromCharCode(j)}else{h.c=this.PLANE1+String.fromCharCode(j-119808+56320)}}if(k[2]||!this.msieAccentBug||i.length){return i+h.c}e.createShift(g,k[3]/1000);e.createShift(g,(k[4]-k[3])/1000);this.addText(g,h.c);e.createShift(g,-k[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete j.FONTS;this.loadFont(g)}if(g[p]){if(g[p].length===5){g[p][5]={}}if(e.allowWebFonts&&!g.available){this.loadWebFont(g)}else{return g}}else{this.findBlock(g,p)}}var k=(j.defaultFont||{family:e.FONTDATA.DEFAULTFAMILY+",serif"});k[p]=[800,200,500,0,500,{isUnknown:true}];return k},findBlock:function(g,n){if(g.Ranges){for(var l=0,f=g.Ranges.length;l<f;l++){if(n<g.Ranges[l][0]){return}if(n<=g.Ranges[l][1]){var k=g.Ranges[l][2];for(var h=g.Ranges.length-1;h>=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:function(g){var f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1:String.fromCharCode(55349),NBSP:String.fromCharCode(160),rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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g=k.bbox={},l=[];this.HTMLcheckStretchy(this.data.open,g,l,j);this.HTMLcheckStretchy(this.data[0],g,l,j);for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){this.HTMLcheckStretchy(this.data["sep"+h],g,l,j);this.HTMLcheckStretchy(this.data[h],g,l,j)}}this.HTMLcheckStretchy(this.data.close,g,l,j);this.HTMLcleanBBox(g);return l},HTMLcheckStretchy:function(f,g,i,h){if(f){if(!h&&f.HTMLcanStretch("Vertical")){i.push(f);f=(f.CoreMO()||f)}this.HTMLcombineBBoxes(f,g)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(f){if(this.data[0]!=null){f=this.data[0].toHTML(f);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(f)}return f},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(g,f){return(this.data[0]!=null?this.data[0].HTMLstretchH(g,f):g)},HTMLstretchV:function(g,f,i){return(this.data[0]!=null?this.data[0].HTMLstretchV(g,f,i):g)}});a.munderover.Augment({toHTML:function(G,B,z){var f=this.getValues("displaystyle","accent","accentunder","align");if(!f.displaystyle&&this.data[this.base]!=null&&this.data[this.base].Get("movablelimits")){return a.msubsup.prototype.toHTML.call(this,G)}G=this.HTMLcreateSpan(G);var K=this.HTMLgetScale();var j=e.createStack(G);var l=[],I=[],q,H,C,g=-e.BIGDIMEN,F=g;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H]=e.createBox(j);e.Measured(this.data[H].toHTML(q),q);if(H==this.base){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(q,B,z),q)}else{if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchH(q,B),q)}}I[H]=(z==null&&B!=null?false:this.data[H].HTMLcanStretch("Horizontal"))}else{I[H]=this.data[H].HTMLcanStretch("Horizontal")}if(q.bbox.w>F){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(g==-e.BIGDIMEN){g=F}if(z==null&&B!=null){g=F=B}var w=e.TeX.rule_thickness,A=e.FONTDATA.TeX_factor;var h=l[this.base]||{bbox:this.HTMLzeroBBox()},J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H];if(I[H]){q.bbox=this.data[H].HTMLstretchH(q,g).bbox}o=e.TeX.big_op_spacing5*K;var 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G=this.HTMLgetScale();var j=e.createStack(C),g;var i=e.createBox(j);this.HTMLmeasureChild(this.base,i);if(this.data[this.base]){if(w!=null){e.Remeasured(this.data[this.base].HTMLstretchV(i,A,w),i)}else{if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchH(i,A),i)}}}e.placeBox(i,0,0);var h=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var E=e.TeX.x_height*G,o=e.TeX.scriptspace*G*0.75;var f,k;if(this.HTMLnotEmpty(this.data[this.sup])){f=e.createBox(j);e.Measured(this.data[this.sup].toHTML(f),f);f.bbox.w+=o;f.bbox.rw=Math.max(f.bbox.w,f.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){k=e.createBox(j);e.Measured(this.data[this.sub].toHTML(k),k);k.bbox.w+=o;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var 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o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===a.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}g.style.textAlign=o.indentalign;if(o.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift=this.displayIndent}if(o.indentshift&&o.indentalign!==a.INDENTALIGN.CENTER){n.style[{left:"marginLeft",right:"marginRight"}[o.indentalign]]=e.Em(e.length2em(o.indentshift))}}return n}});a.TeXAtom.Augment({toHTML:function(g){g=this.HTMLcreateSpan(g);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var f=e.createStack(g);var h=e.createBox(f);e.Measured(this.data[0].toHTML(h),h);e.placeBox(h,0,e.TeX.axis_height-(h.bbox.h+h.bbox.d)/2+h.bbox.d)}else{g.bbox=this.data[0].toHTML(g).bbox}}this.HTMLhandleSpace(g);this.HTMLhandleColor(g);return 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g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var i=d.config["HTML-CSS"];if(i){i.availableFonts=[];i.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(f){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(f.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(f){f.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(f.versionAtLeast("10.0")&&!f.isMini?"otf":false),adjustAvailableFonts:function(j){for(var h=0,g=j.length;h<g;h++){if(j[h]==="STIX"){j.splice(h,1);g--;h--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=j[0]}}})},Konqueror:function(f){e.Augment({konquerorVerticalAlignBug:true,noContextMenuBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
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l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax img":{display:"inline ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=f*this.scale/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o.style.width=this.Em(q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v.width!=null&&!v.isFixed){if(q.width==null){o.style.width=q.width="100%"}n.style.width=v.width}}},alignBox:function(h,n,m){this.placeBox(h,0,m);var j=h.bbox;if(j.isMultiline){return}var g=j.width!=null&&!j.isFixed;var i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var o=0,k=g.HW.length;o<k;o++){if(g.HW[o][0]*l>=h-0.01||(o==k-1&&!g.stretch)){if(g.HW[o][2]){l*=g.HW[o][2]}if(g.HW[o][3]){f=g.HW[o][3]}var n=this.addElement(q,"span");this.createChar(n,[f,g.HW[o][1]],l,j);q.bbox=n.bbox;q.offset=0.65*q.bbox.w;q.scale=l;return}}if(g.stretch){this["extendDelimiter"+g.dir](q,p,g.stretch,l,j)}},extendDelimiterV:function(v,p,A,B,s){var i=this.createStack(v,true);var r=this.createBox(i),q=this.createBox(i);this.createChar(r,(A.top||A.ext),B,s);this.createChar(q,(A.bot||A.ext),B,s);var g={bbox:{w:0,lw:0,rw:0}},z=g,j;var w=r.bbox.h+r.bbox.d+q.bbox.h+q.bbox.d;var m=-r.bbox.h;this.placeBox(r,0,m,true);m-=r.bbox.d;if(A.mid){z=this.createBox(i);this.createChar(z,A.mid,B,s);w+=z.bbox.h+z.bbox.d}if(p>w){g=this.Element("span");this.createChar(g,A.ext,B,s);var x=g.bbox.h+g.bbox.d,f=x-0.05,t,l,u=(A.mid?2:1);l=t=Math.ceil((p-w)/(u*f));if(!A.fullExtenders){f=(p-w)/(u*t)}var o=(t/(t+1))*(x-f);f=x-o;m+=o+f-g.bbox.h;while(u-->0){while(t-->0){if(!this.msieCloneNodeBug){j=g.cloneNode(true)}else{j=this.Element("span");this.createChar(j,A.ext,B,s)}m-=f;this.placeBox(this.addBox(i,j),0,m,true)}m+=o-g.bbox.d;if(A.mid&&u){this.placeBox(z,0,m-z.bbox.h,true);t=l;m+=-(z.bbox.h+z.bbox.d)+o+f-g.bbox.h}}}else{m+=(w-p)/2;if(A.mid){this.placeBox(z,0,m-z.bbox.h,true);m+=-(z.bbox.h+z.bbox.d)}m+=(w-p)/2}this.placeBox(q,0,m-q.bbox.h,true);m-=q.bbox.h+q.bbox.d;v.bbox={w:Math.max(r.bbox.w,g.bbox.w,q.bbox.w,z.bbox.w),lw:Math.min(r.bbox.lw,g.bbox.lw,q.bbox.lw,z.bbox.lw),rw:Math.max(r.bbox.rw,g.bbox.rw,q.bbox.rw,z.bbox.rw),h:0,d:-m};v.scale=B;v.offset=0.55*v.bbox.w;v.isMultiChar=true;this.setStackWidth(i,v.bbox.w)},extendDelimiterH:function(u,h,z,B,r){var l=this.createStack(u,true);var i=this.createBox(l),v=this.createBox(l);this.createChar(i,(z.left||z.rep),B,r);this.createChar(v,(z.right||z.rep),B,r);var f=this.Element("span");this.createChar(f,z.rep,B,r);var y={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},g;this.placeBox(i,-i.bbox.lw,0,true);var p=(i.bbox.rw-i.bbox.lw)+(v.bbox.rw-v.bbox.lw)-0.05,o=i.bbox.rw-i.bbox.lw-0.025,q;if(z.mid){y=this.createBox(l);this.createChar(y,z.mid,B,r);p+=y.bbox.w}if(h>p){var A=f.bbox.rw-f.bbox.lw,j=A-0.05,s,m,t=(z.mid?2:1);m=s=Math.ceil((h-p)/(t*j));j=(h-p)/(t*s);q=(s/(s+1))*(A-j);j=A-q;o-=f.bbox.lw+q;while(t-->0){while(s-->0){if(!this.msieCloneNodeBug){g=f.cloneNode(true)}else{g=this.Element("span");this.createChar(g,z.rep,B,r)}this.placeBox(this.addBox(l,g),o,0,true);o+=j}if(z.mid&&t){this.placeBox(y,o,0,true);o+=y.bbox.w-q;s=m}}}else{q=Math.min(p-h,i.bbox.w/2);o-=q/2;if(z.mid){this.placeBox(y,o,0,true);o+=y.bbox.w}o-=q/2}this.placeBox(v,o,0,true);u.bbox={w:o+v.bbox.rw,lw:0,rw:o+v.bbox.rw,H:Math.max(i.bbox.h,f.bbox.h,v.bbox.h,y.bbox.h),D:Math.max(i.bbox.d,f.bbox.d,v.bbox.d,y.bbox.d),h:f.bbox.h,d:f.bbox.d};u.scale=B;u.isMultiChar=true;this.setStackWidth(l,u.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l<g;l++){p+=String.fromCharCode(k[0][l])}}else{p=String.fromCharCode(k[0])}if(h!==1){n=this.addElement(o,"span",{style:{fontSize:this.Percent(h)},scale:h});this.handleVariant(n,j,p);o.bbox=n.bbox}else{this.handleVariant(o,j,p)}if(k[2]){o.style.marginLeft=this.Em(k[2])}if(this.AccentBug&&o.bbox.w===0){n.firstChild.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o.offsetWidth/e.em)}},positionDelimiter:function(g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g.firstChild.style.display===""&&g.style.top!==""){g=g.firstChild;f-=parseFloat(g.style.top)}g.style.position="relative";g.style.top=this.Em(-f)}else{g.style.verticalAlign=this.Em(f);if(e.ffVerticalAlignBug){e.createRule(g.parentNode,g.bbox.h,0,0)}}}},handleVariant:function(v,j,o){var u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||"normal",i=f.weight||"normal";if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,l,k,j){var i=l[5];if(i.img){return this.handleImg(g,f,l,k,j)}if(i.isUnknown&&this.FONTDATA.DELIMITERS[k]){if(j.length){this.addText(g,j)}var h=g.scale;e.createDelimiter(g,k,0,1,f);g.scale=h;l[0]=g.bbox.h*1000;l[1]=g.bbox.d*1000;l[2]=g.bbox.w*1000;l[3]=g.bbox.lw*1000;l[4]=g.bbox.rw*1000;return""}if(i.c==null){if(k<=65535){i.c=String.fromCharCode(k)}else{i.c=this.PLANE1+String.fromCharCode(k-119808+56320)}}if(l[2]||!this.msieAccentBug||j.length){return j+i.c}e.createShift(g,l[3]/1000);e.createShift(g,(l[4]-l[3])/1000);this.addText(g,i.c);e.createShift(g,-l[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete j.FONTS;this.loadFont(g)}if(g[p]){if(g[p].length===5){g[p][5]={}}if(e.allowWebFonts&&!g.available){this.loadWebFont(g)}else{return g}}else{this.findBlock(g,p)}}var k=(j.defaultFont||{family:e.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}k[p]=[800,200,500,0,500,{isUnknown:true}];return k},findBlock:function(g,n){if(g.Ranges){for(var l=0,f=g.Ranges.length;l<f;l++){if(n<g.Ranges[l][0]){return}if(n<=g.Ranges[l][1]){var k=g.Ranges[l][2];for(var h=g.Ranges.length-1;h>=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:function(g){var f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1:String.fromCharCode(55349),NBSP:String.fromCharCode(160),rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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h=l.bbox={},n=[];while(j<f){var g=this.data[j];if(!g){continue}if(!k&&g.HTMLcanStretch("Vertical")){n.push(g);g=(g.CoreMO()||g)}this.HTMLcombineBBoxes(g,h);j++}this.HTMLcleanBBox(h);return n},HTMLcombineBBoxes:function(f,g){if(g.w==null){this.HTMLemptyBBox(g)}var i=f.HTMLspanElement();if(!i||!i.bbox){return}var h=i.bbox;if(h.d>g.d){g.d=h.d}if(h.h>g.h){g.h=h.h}if(h.D!=null&&h.D>g.D){g.D=h.D}if(h.H!=null&&h.H>g.H){g.H=h.H}if(i.style.paddingLeft){g.w+=parseFloat(i.style.paddingLeft)*(i.scale||1)}if(g.w+h.lw<g.lw){g.lw=g.w+h.lw}if(g.w+h.rw>g.rw){g.rw=g.w+h.rw}g.w+=h.w;if(i.style.paddingRight){g.w+=parseFloat(i.style.paddingRight)*(i.scale||1)}if(h.width){g.width=h.width}},HTMLemptyBBox:function(f){f.h=f.d=f.H=f.D=f.rw=-e.BIGDIMEN;f.w=0;f.lw=e.BIGDIMEN;return f},HTMLcleanBBox:function(f){if(f.h===this.BIGDIMEN){f.h=f.d=f.H=f.D=f.w=f.rw=f.lw=0}if(f.D<=f.d){delete f.D}if(f.H<=f.h){delete f.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(f){if(this.isEmbellished()){return this.Core().HTMLcanStretch(f)}return false},HTMLstretchH:function(g,f){return this.HTMLspanElement()},HTMLstretchV:function(g,f,i){return this.HTMLspanElement()},HTMLnotEmpty:function(f){while(f){if((f.type!=="mrow"&&f.type!=="texatom")||f.data.length>1){return true}f=f.data[0]}return false},HTMLmeasureChild:function(g,f){if(this.data[g]!=null){e.Measured(this.data[g].toHTML(f),f)}else{f.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(f){if(this.spanID){var g=this.HTMLspanElement();if(g){while(g.firstChild){g.removeChild(g.firstChild)}g.bbox={w:0,h:0,d:0,lw:0,rw:0};g.scale=1;g.isMultChar=null;g.style.cssText="";return g}}if(this.href){f=e.addElement(f,"a",{href:this.href})}f=e.addElement(f,"span",{className:this.type});if(e.imgHeightBug){f.style.display="inline-block"}if(this["class"]!=null){f.className+=" "+this["class"]}if(this.style){f.style.cssText=this.style;if(f.style.fontSize){this.mathsize=f.style.fontSize;f.style.fontSize=""}}this.spanID=e.GetID();f.id=(this.id||"MathJax-Span-"+this.spanID)+e.idPostfix;f.bbox={w:0,h:0,d:0,lw:0,lr:0};if(this.href){f.parentNode.bbox=f.bbox}return f},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+e.idPostfix)},HTMLhandleVariant:function(g,f,h){e.handleVariant(g,f,h)},HTMLhandleSize:function(f){if(!f.scale){f.scale=this.HTMLgetScale();if(f.scale!==1){f.style.fontSize=e.Percent(f.scale)}}return f},HTMLhandleColor:function(k){var 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q=b.createBox(ag);q.style.left=q.style.top=0;q.style.right=b.Em(aq+2*ac);q.style.display="inline-block";q.style.height="0px";if(b.msieRelativeWidthBug){q=b.createBox(q);q.style.position="relative";q.style.height="1em";q.style.width="100%";q.bbox=ag.bbox}var an=0,av=ac,aK,g;if(aG){aK=100*(1-aw)/aG,g=U/aG}else{aK=100*(1-aw)/(v+1);g=U/(v+1)}for(aE=0;aE<=v;aE++){b.placeBox(K[aE].parentNode,0,0);K[aE].style.position="relative";K[aE].style.left=b.Em(av);K[aE].style.width="100%";K[aE].parentNode.parentNode.removeChild(K[aE].parentNode);var e=b.createBox(q);b.addBox(e,K[aE]);K[aE]=e;var ae=e.style;ae.display="inline-block";ae.left=an+"%";if(ap[aE].match(/%$/)){var 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at=ac;for(aE=0;aE<=v;aE++){if(!K[aE].bbox.width){b.setStackWidth(K[aE],l[aE])}if(ap[aE]!=="auto"&&ap[aE]!=="fit"){K[aE].bbox.width=l[aE];K[aE].bbox.isFixed=true}b.placeBox(K[aE].parentNode,at,0);at+=l[aE]+al[aE];if(N[aE]!=="none"&&aE<v&&aE!==aH){u=b.createRule(ag,aI,0,1.25/b.em);b.addBox(ag,u);u.bbox={h:aI,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(u,at-al[aE]/2,ax,true);u.style.borderStyle=N[aE]}}}aA=ag.bbox.w+ac;var d;if(aJ.frame!=="none"){d=b.createFrame(ag,aI,0,aA,1.25/b.em,aJ.frame);b.addBox(ag,d);b.placeBox(d,0,ax,true);if(r){d.style.width="100%"}}ar=h;for(aF=0,aC=O.length-1;aF<aC;aF++){n=Math.max(aL,I[aF]+w[aF+1]+S[aF]);if(k[aF]!=="none"){u=b.createRule(ag,1.25/b.em,0,aA);b.addBox(ag,u);u.bbox={h:1.25/b.em,d:0,w:aA,rw:aA,lw:0};b.placeBox(u,0,ar-I[aF]-(n-I[aF]-w[aF+1])/2,true);if(k[aF]==="dashed"||r){u.style.borderTop=u.style.height+" "+k[aF];u.style.height=0;u.style.width=u.style.borderLeftWidth;u.style.borderLeft="";if(r){u.style.width="100%"}}}ar-=n}if(r){X.bbox.width=aJ.width;ag.style.width="100%"}if(K[aH]){var Q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(Q.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){Q.indentalign=Q.indentalignfirst}if(Q.indentalign===a.INDENTALIGN.AUTO){Q.indentalign=this.displayAlign}if(Q.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){Q.indentshift=Q.indentshiftfirst}if(Q.indentshift==="auto"){Q.indentshift=this.displayIndent}var E=b.createStack(X,false,"100%");b.addBox(E,ag);b.alignBox(ag,Q.indentalign,0);if(Q.indentshift&&Q.indentalign!==a.INDENTALIGN.CENTER){ag.style[{left:"Left",right:"Right"}[Q.indentalign]]=b.Em(b.length2em(Q.indentshift))}K[aH].parentNode.parentNode.removeChild(K[aH].parentNode);b.addBox(E,K[aH]);b.alignBox(K[aH],ah[aH],0);if(b.msieRelativeWidthBug){ag.style.top=K[aH].style.top=""}if(r){ag.style.width=aJ.width;X.bbox.width="100%"}K[aH].style.marginRight=K[aH].style.marginLeft=b.Em(b.length2em(aJ.minlabelspacing))}if(!r){this.HTMLhandleSpace(X)}var aj=this.HTMLhandleColor(X);if(aj&&r){if(!d){d=b.createFrame(ag,aI,0,aA,0,"none");b.addBox(ag,d);b.placeBox(d,0,ax,true);d.style.width="100%"}d.style.backgroundColor=aj.style.backgroundColor;d.parentNode.insertBefore(d,d.parentNode.firstChild);aj.parentNode.removeChild(aj)}return X},HTMLhandleSpace:function(d){d.style.paddingLeft=d.style.paddingRight=".1667em"}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=b.Measured(this.data[0].toHTML(e),e);if(g!=null){b.Remeasured(this.data[0].HTMLstretchV(e,d,g),e)}else{if(d!=null){b.Remeasured(this.data[0].HTMLstretchH(e,d),e)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 
diff --git a/public/MathJax/config/Accessible.js b/public/MathJax/config/Accessible.js
index e1dc88ae..afe3903d 100644
--- a/public/MathJax/config/Accessible.js
+++ b/public/MathJax/config/Accessible.js
@@ -49,38 +49,38 @@ MathJax.Hub.Config({
   
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
 
-(function(c){var h="1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
 
-MathJax.Extension.tex2jax={version:"1.1",config:{element:null,inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=this.config.element||document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(b,c){var d=this.match[b[0]];if(d!=null){this.search={end:d.end,mode:d.mode,open:c,olen:b[0].length,opos:this.pattern.lastIndex-b[0].length};this.switchPattern(d.pattern)}else{if(b[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+b[1]+"}",mode:"; 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w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var 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+(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
 
-MathJax.Extension["TeX/noUndefined"]={version:"1.0.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 
-(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for "+k)}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:c,name:"\\over",checkItem:function(m,k){if(m.type==="over"){d.Error("Ambiguous use of "+m.name)}if(m.isClose){var l=i.mfrac(this.num,this.mmlData(f));if(this.thickness!=null){l.linethickness=this.thickness}if(this.open||this.close){l.texClass=i.TEXCLASS.INNER;l.texWithDelims=c;l=i.mfenced(l).With({open:this.open,close:this.close})}return[b.mml(l),m]}return this.SUPER(arguments).checkItem.call(this,m)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:c,delim:"(",stopError:"Extra \\left or missing \\right",checkItem:function(l){if(l.type==="right"){var k=i.mfenced(this.data.length===1?this.data[0]:i.mrow.apply(i,this.data));return b.mml(k.With({open:this.delim,close:l.delim}))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:c,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:c,checkItem:function(k){if(k.type==="end"){if(k.name!==this.name){d.Error("\\begin{"+this.name+"} ended with \\end{"+k.name+"}")}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(k.type==="stop"){d.Error("Missing \\end{"+this.name+"}")}return this.SUPER(arguments).checkItem.call(this,k)}});b.end=b.Subclass({type:"end",isClose:c});b.style=b.Subclass({type:"style",checkItem:function(l){if(!l.isClose){return this.SUPER(arguments).checkItem.call(this,l)}var k=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(k),l]}});b.position=b.Subclass({type:"position",checkItem:function(l){if(l.isClose){d.Error("Missing box for "+this.name)}if(l.isNotStack){var k=l.mmlData();switch(this.move){case"vertical":k=i.mpadded(k).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(k)];case"horizontal":return[b.mml(this.left),l,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,l)}});b.array=b.Subclass({type:"array",isOpen:c,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(l){if(l.isClose&&l.type!=="over"){if(l.isEntry){this.EndEntry();this.clearEnv();return f}if(l.isCR){this.EndEntry();this.EndRow();this.clearEnv();return f}this.EndTable();this.clearEnv();var k=i.mtable.apply(i,this.table).With(this.arraydef);if(this.open||this.close){k=i.mfenced(k).With({open:this.open,close:this.close})}k=b.mml(k);if(this.requireClose){if(l.type==="close"){return k}d.Error("Missing close brace")}return[k,l]}return 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a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});if(MathJax.Hub.Browser.isMSIE){MathJax.InputJax.TeX.Definitions.mathchar0mi.digamma=["03DC",{variantForm:true}];MathJax.InputJax.TeX.Definitions.mathchar0mi.varkappa=["03F0",{variantForm:true}]}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashr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229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03F5",epsiv:"\u03B5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",lowbar:"\u005F",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nhArr:"\u21CE",nharr:"\u21AE",nlArr:"\u21CD",nlarr:"\u219A",not:"\u00AC",nrArr:"\u21CF",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03D5",phiv:"\u03C6",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
+(function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(f){var g;if(typeof f!=="string"){g=f.parentNode}else{if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");f=f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);g=b.ParseXML(f);if(g==null){b.Error("Error parsing MathML")}}var e=g.getElementsByTagName("parsererror")[0];if(e){b.Error("Error parsing MathML: "+e.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(g.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(g.firstChild.nodeName.toLowerCase()==="html"){var d=g.getElementsByTagName("h1")[0];if(d&&d.textContent==="XML parsing error"&&d.nextSibling){b.Error("Error parsing MathML: "+String(d.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(g.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+g.firstChild.nodeName+">")}this.mml=this.MakeMML(g.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k<j;k++){e=h.attributes[k].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}n=h.attributes[k].value;if(n.toLowerCase()==="true"){n=true}else{if(n.toLowerCase()==="false"){n=false}}d[e]=n}for(k=0,j=h.childNodes.length;k<j;k++){var f=h.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(d.isToken&&!d.mmlSelfClosing){var o=this.trimSpace(f.nodeValue);if(d.isa(a.mo)&&o.length===1&&this.Remap[o.charAt(0)]){o=this.Remap[o.charAt(0)]}o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);d.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+f.nodeValue+"'")}}}else{if(d.type==="annotation-xml"){d.Append(a.xml(f))}else{var g=this.MakeMML(f);d.Append(g);if(g.mmlSelfClosing&&g.data.length){d.Append.apply(d,g.data);g.data=[]}}}}if(b.config.useMathMLspacing){d.useMMLspacing=8}return d},trimSpace:function(d){return d.replace(/^[ \t\n\r]+/,"").replace(/[ \t\n\r]+$/,"").replace(/[ \t\n\r][ \t\n\r]+/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f},Remap:{"\u0027":"\u2032","\u002A":"\u2217","\u002D":"\u2212"}},{loaded:[]});b.Augment({Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g;if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){g=this.prefilterMathML(d.firstChild)}else{g=d.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}else{if(c.isKonqueror){g=g.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax.");return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClossing:true})}});b.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 
 MathJax.Ajax.loadComplete("[MathJax]/config/Accessible.js");
diff --git a/public/MathJax/config/MML_HTMLorMML-full.js b/public/MathJax/config/MML_HTMLorMML-full.js
index 6c28828d..c14d5754 100644
--- a/public/MathJax/config/MML_HTMLorMML-full.js
+++ b/public/MathJax/config/MML_HTMLorMML-full.js
@@ -32,29 +32,29 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
 
-(function(c){var h="1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
 
-MathJax.Extension.mml2jax={version:"1.1",config:{element:null,preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=this.config.element||document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.msieMathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.msieProcessMath(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.msieScriptBug){var b=this.msieOuterHTML(e);b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");MathJax.HTML.setScript(a,b.replace(/&nbsp;/g,"&#xA0;"));d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},msieProcessMath:function(e){var c=e.parentNode;var a=document.createElement("script");a.type="math/mml";c.insertBefore(a,e);var b="",d;while(e&&e.nodeName!=="/MATH"){d=e;e=e.nextSibling;b+=this.msieNodeHTML(d);d.parentNode.removeChild(d)}if(e&&e.nodeName==="/MATH"){e.parentNode.removeChild(e)}a.text=b+"</math>";if(this.config.preview!=="none"){this.createPreview(e,a)}},msieNodeHTML:function(d){var c,b,a;if(d.nodeName==="#text"){c=d.nodeValue.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;")}else{if(d.nodeName==="#comment"){c="<!--"+d.nodeValue+"-->"}else{if(this.msieAttributeBug){c="<"+d.nodeName.toLowerCase();for(b=0,a=d.attributes.length;b<a;b++){if(d.attributes[b].specified){c+=" "+d.attributes[b].nodeName.toLowerCase()+"=";c+='"'+d.attributes[b].nodeValue.replace(/\"/g,'\\"')+'"'}}c+=">"}else{c=this.toLowerCase(d.outerHTML);var e=c.split(/\"/);for(b=0,a=e.length;b<a;b+=2){e[b]=e[b].toLowerCase()}c=e.join('"')}}}return c},msieOuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.msieNodeHTML(d)}if(!this.msieAttributeBug){return d.outerHTML}var c=this.msieNodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.msieOuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){MathJax.Hub.Browser.Select({MSIE:function(a){var b=MathJax.HTML.Element("span",{className:"mathjax"});MathJax.Hub.Insert(MathJax.Extension.mml2jax,{msieScriptBug:true,msieMathTagBug:(MathJax.HTML.Element("span",{innerHTML:"<math><mi>x</mi></math>"}).childNodes.length!==1),msieAttributeBug:(b.outerHTML.substr(12)!=='"')})}})}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var d,c,a;if(e.nodeName==="#text"){d=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){d="<!--"+e.nodeValue+"-->"}else{d="<"+e.nodeName.toLowerCase();var b=e.attributes;for(c=0,a=b.length;c<a;c++){if(b[c].specified){d+=" "+b[c].nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";d+='"'+this.quoteHTML(b[c].nodeValue)+'"'}}d+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(c=0,a=e.childNodes.length;c<a;c++){d+=this.OuterHTML(e.childNodes[c])}d+="</"+e.nodeName.toLowerCase()+">"}}}return d},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var 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229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03F5",epsiv:"\u03B5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",lowbar:"\u005F",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nhArr:"\u21CE",nharr:"\u21AE",nlArr:"\u21CD",nlarr:"\u219A",not:"\u00AC",nrArr:"\u21CF",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03D5",phiv:"\u03C6",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
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i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var 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b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face 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g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);
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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}},Translate:function(g){if(!g.parentNode){return}if(!this.initialized){this.InitializeMML()}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face 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g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(j){for(var h=0,g=this.data.length;h<g;h++){j.appendChild(this.data[h].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);
 
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this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DEFAULTFAMILY:"serif",DEFAULTWEIGHT:"normal",DEFAULTSTYLE:"normal",DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;var i=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=i+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&i!==100){this.em=a.mbase.prototype.em=f*i/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o.style.width=this.Em(q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v.width!=null&&!v.isFixed){if(q.width==null){o.style.width=q.width="100%"}n.style.width=v.width}}},alignBox:function(h,n,m){this.placeBox(h,0,m);var j=h.bbox;if(j.isMultiline){return}var g=j.width!=null&&!j.isFixed;var i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var 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o=(h.bbox.rw-h.bbox.lw)+(u.bbox.rw-u.bbox.lw)-0.05,m=h.bbox.rw-h.bbox.lw-0.025;if(y.mid){v=this.createBox(j);this.createChar(v,y.mid,A,q);o+=v.bbox.w}if(g>o){var z=f.bbox.rw-f.bbox.lw,i=z-0.05,r,l,s=(y.mid?2:1);l=r=Math.ceil((g-o)/(s*i));i=(g-o)/(s*r);var p=(r/(r+1))*(z-i);i=z-p;m-=f.bbox.lw+p;while(s-->0){while(r-->0){this.placeBox(this.addBox(j,f.cloneNode(true)),m,0,true);m+=i}if(y.mid&&s){this.placeBox(v,m,0,true);m+=v.bbox.w-p;r=l}}}else{m-=(o-g)/2;if(y.mid){this.placeBox(v,m,0,true);m+=v.bbox.w}m-=(o-g)/2}this.placeBox(u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:Math.max(h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:Math.max(h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t.isMultiChar=true;this.setStackWidth(j,t.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l<g;l++){p+=String.fromCharCode(k[0][l])}}else{p=String.fromCharCode(k[0])}if(h!==1){n=this.addElement(o,"span",{style:{fontSize:this.Percent(h)},scale:h});this.handleVariant(n,j,p);o.bbox=n.bbox}else{this.handleVariant(o,j,p)}if(k[2]){o.style.marginLeft=this.Em(k[2])}if(this.AccentBug&&o.bbox.w===0){n.firstChild.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o.offsetWidth/e.em)}},positionDelimiter:function(g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g.firstChild.style.display===""&&g.style.top!==""){g=g.firstChild;f-=parseFloat(g.style.top)}g.style.position="relative";g.style.top=this.Em(-f)}else{g.style.verticalAlign=this.Em(f);if(e.ffVerticalAlignBug){e.createRule(g.parentNode,g.bbox.h,0,0)}}}},handleVariant:function(v,j,o){var u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||this.FONTDATA.DEFAULTSTYLE,i=f.weight||this.FONTDATA.DEFAULTWEIGHT;if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,k,j,i){var h=k[5];if(h.img){return this.handleImg(g,f,k,j,i)}if(h.c==null){if(j<=65535){h.c=String.fromCharCode(j)}else{h.c=this.PLANE1+String.fromCharCode(j-119808+56320)}}if(k[2]||!this.msieAccentBug||i.length){return i+h.c}e.createShift(g,k[3]/1000);e.createShift(g,(k[4]-k[3])/1000);this.addText(g,h.c);e.createShift(g,-k[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete 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f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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m=this.getValues("mathcolor","color");if(this.mathbackground){m.mathbackground=this.mathbackground}if(this.background){m.background=this.background}if(this.style&&k.style.backgroundColor){m.mathbackground=k.style.backgroundColor;k.style.backgroundColor="transparent"}if(m.color&&!this.mathcolor){m.mathcolor=m.color}if(m.background&&!this.mathbackground){m.mathbackground=m.background}if(m.mathcolor){k.style.color=m.mathcolor}if(m.mathbackground&&m.mathbackground!==a.COLOR.TRANSPARENT){var n=1/e.em,j=0,i=0;if(this.isToken){j=k.bbox.lw;i=k.bbox.rw-k.bbox.w}if(k.style.paddingLeft!==""){j+=parseFloat(k.style.paddingLeft)*(k.scale||1)}if(k.style.paddingRight!==""){i-=parseFloat(k.style.paddingRight)*(k.scale||1)}var h=Math.max(0,e.getW(k)+(e.PaddingWidthBug?0:i-j));if(e.msieCharPaddingWidthBug&&k.style.paddingLeft!==""){h+=parseFloat(k.style.paddingLeft)*(k.scale||1)}var l=k.bbox.h+k.bbox.d,f=-k.bbox.d;if(h>0){h+=2*n;j-=n}if(l>0){l+=2*n;f-=n}i=-h-j;var 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l=[],I=[],q,H,C,g=-e.BIGDIMEN,F=g;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H]=e.createBox(j);e.Measured(this.data[H].toHTML(q),q);if(H==this.base){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(q,B,z),q)}else{if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchH(q,B),q)}}I[H]=(z==null&&B!=null?false:this.data[H].HTMLcanStretch("Horizontal"))}else{I[H]=this.data[H].HTMLcanStretch("Horizontal")}if(q.bbox.w>F){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(g==-e.BIGDIMEN){g=F}if(z==null&&B!=null){g=F=B}var w=e.TeX.rule_thickness,A=e.FONTDATA.TeX_factor;var h=l[this.base]||{bbox:this.HTMLzeroBBox()},J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H];if(I[H]){q.bbox=this.data[H].HTMLstretchH(q,g).bbox}o=e.TeX.big_op_spacing5*K;var u=(H!=this.base&&f[this.ACCENTS[H]]);if(u&&q.bbox.w<=1/e.em+0.0001){q.bbox.w=q.bbox.rw-q.bbox.lw;q.bbox.noclip=true;if(q.bbox.lw&&!e.zeroWidthBug){q.insertBefore(e.createSpace(q.parentNode,0,0,-q.bbox.lw),q.firstChild)}e.createBlank(q,0,0,q.bbox.rw+0.1)}v={left:0,center:(g-q.bbox.w)/2,right:g-q.bbox.w}[f.align];p=v;n=0;if(H==this.over){if(u){E=Math.max(w*K*A,2.5/this.em);o=0;if(h.bbox.skew){p+=h.bbox.skew}}else{s=e.TeX.big_op_spacing1*K*A;r=e.TeX.big_op_spacing3*K*A;E=Math.max(s,r-Math.max(0,q.bbox.d))}E=Math.max(E,1.5/this.em);p+=J;n=h.bbox.h+q.bbox.d+E;q.bbox.h+=o}else{if(H==this.under){if(u){E=3*w*K*A;o=0}else{s=e.TeX.big_op_spacing2*K*A;r=e.TeX.big_op_spacing4*K*A;E=Math.max(s,r-q.bbox.h)}E=Math.max(E,1.5/this.em);p-=J;n=-(h.bbox.d+q.bbox.h+E);q.bbox.d+=o}}e.placeBox(q,p,n)}}this.HTMLhandleSpace(G);this.HTMLhandleColor(G);return G},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.msubsup.Augment({toHTML:function(C,A,w){C=this.HTMLcreateSpan(C);var G=this.HTMLgetScale();var j=e.createStack(C),g;var i=e.createBox(j);this.HTMLmeasureChild(this.base,i);if(this.data[this.base]){if(w!=null){e.Remeasured(this.data[this.base].HTMLstretchV(i,A,w),i)}else{if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchH(i,A),i)}}}e.placeBox(i,0,0);var h=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var E=e.TeX.x_height*G,o=e.TeX.scriptspace*G*0.75;var f,k;if(this.HTMLnotEmpty(this.data[this.sup])){f=e.createBox(j);e.Measured(this.data[this.sup].toHTML(f),f);f.bbox.w+=o;f.bbox.rw=Math.max(f.bbox.w,f.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){k=e.createBox(j);e.Measured(this.data[this.sub].toHTML(k),k);k.bbox.w+=o;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var m=i.bbox.h-y,l=i.bbox.d+x,F=0,z;if(i.bbox.ic){F=i.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&i.bbox.scale===1&&!this.data[this.base].Get("largeop")){m=l=0}}var B=this.getValues("subscriptshift","superscriptshift");B.subscriptshift=(B.subscriptshift===""?0:e.length2em(B.subscriptshift));B.superscriptshift=(B.superscriptshift===""?0:e.length2em(B.superscriptshift));if(!f){if(k){l=Math.max(l,e.TeX.sub1*G,k.bbox.h-(4/5)*E,B.subscriptshift);e.placeBox(k,i.bbox.w+o-F,-l,k.bbox)}}else{if(!k){g=this.getValues("displaystyle","texprimestyle");z=e.TeX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];m=Math.max(m,z*G,f.bbox.d+(1/4)*E,B.superscriptshift);e.placeBox(f,i.bbox.w+o,m,f.bbox)}else{l=Math.max(l,e.TeX.sub2*G);var n=e.TeX.rule_thickness*G;if((m-f.bbox.d)-(k.bbox.h-l)<3*n){l=3*n-m+f.bbox.d+k.bbox.h;y=(4/5)*E-(m-f.bbox.d);if(y>0){m+=y;l-=y}}e.placeBox(f,i.bbox.w+o,Math.max(m,B.superscriptshift));e.placeBox(k,i.bbox.w+o-F,-Math.max(l,B.subscriptshift))}}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(n,g){var k=this.Get("alttext");if(k){g.setAttribute("aria-label",k)}var h=e.addElement(n,"nobr");n=this.HTMLcreateSpan(h);var l=e.createStack(n),i=e.createBox(l),m;l.style.fontSize=h.parentNode.style.fontSize;h.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}a.mbase.prototype.displayAlign=d.config.displayAlign;a.mbase.prototype.displayIndent=d.config.displayIndent;m=e.Measured(this.data[0].toHTML(i),i)}e.placeBox(i,0,0);var j=e.em/e.outerEm;e.em/=j;n.bbox.h*=j;n.bbox.d*=j;n.bbox.w*=j;n.bbox.lw*=j;n.bbox.rw*=j;if(m&&m.bbox.width!=null){l.style.width=m.bbox.width;i.style.width="100%"}this.HTMLhandleColor(n);if(m){e.createRule(n,m.bbox.h*j,m.bbox.d*j,0)}if(!this.isMultiline&&this.Get("display")==="block"&&n.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===a.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}g.style.textAlign=o.indentalign;if(o.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift=this.displayIndent}if(o.indentshift&&o.indentalign!==a.INDENTALIGN.CENTER){n.style[{left:"marginLeft",right:"marginRight"}[o.indentalign]]=e.Em(e.length2em(o.indentshift))}}return n}});a.TeXAtom.Augment({toHTML:function(g){g=this.HTMLcreateSpan(g);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var f=e.createStack(g);var h=e.createBox(f);e.Measured(this.data[0].toHTML(h),h);e.placeBox(h,0,e.TeX.axis_height-(h.bbox.h+h.bbox.d)/2+h.bbox.d)}else{g.bbox=this.data[0].toHTML(g).bbox}}this.HTMLhandleSpace(g);this.HTMLhandleColor(g);return g}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(f){var i=f.versionAtLeast("7.0");var h=f.versionAtLeast("8.0")&&document.documentMode>7;var g=(document.compatMode==="BackCompat");e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)";e.Augment({getMarginScale:e.getMSIEmarginScale,PaddingWidthBug:true,msieEventBug:f.isIE9,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:g,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(h&&!g),msieBorderWidthBug:g,msieInlineBlockAlignBug:(!h||g),msieVerticalAlignBug:(h&&!g),msiePlaceBoxBug:(h&&!g),msieClipRectBug:!h,msieNegativeSpaceBug:g,negativeSkipBug:true,msieIE6:!i,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:f.isIE9,allowWebFonts:"eot"})},Firefox:function(g){var h=false;if(g.versionAtLeast("3.5")){var f=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,f.length)===f){h="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:h})},Safari:function(j){var h=j.versionAtLeast("3.0");var g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var i=d.config["HTML-CSS"];if(i){i.availableFonts=[];i.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(f){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(f.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(f){f.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(f.versionAtLeast("10.0")&&!f.isMini?"otf":false),adjustAvailableFonts:function(j){for(var h=0,g=j.length;h<g;h++){if(j[h]==="STIX"){j.splice(h,1);g--;h--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=j[0]}}})},Konqueror:function(f){e.Augment({konquerorVerticalAlignBug:true,noContextMenuBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(j,g){if(g&&this.testCollection(g)){return g}for(var h=0,f=j.length;h<f;h++){if(j[h]===g){continue}if(this.testCollection(j[h])){return j[h]}}return null},testCollection:function(f){return this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax img":{display:"inline ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=f*this.scale/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o.style.width=this.Em(q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v.width!=null&&!v.isFixed){if(q.width==null){o.style.width=q.width="100%"}n.style.width=v.width}}},alignBox:function(h,n,m){this.placeBox(h,0,m);var j=h.bbox;if(j.isMultiline){return}var g=j.width!=null&&!j.isFixed;var i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var o=0,k=g.HW.length;o<k;o++){if(g.HW[o][0]*l>=h-0.01||(o==k-1&&!g.stretch)){if(g.HW[o][2]){l*=g.HW[o][2]}if(g.HW[o][3]){f=g.HW[o][3]}var n=this.addElement(q,"span");this.createChar(n,[f,g.HW[o][1]],l,j);q.bbox=n.bbox;q.offset=0.65*q.bbox.w;q.scale=l;return}}if(g.stretch){this["extendDelimiter"+g.dir](q,p,g.stretch,l,j)}},extendDelimiterV:function(v,p,A,B,s){var i=this.createStack(v,true);var r=this.createBox(i),q=this.createBox(i);this.createChar(r,(A.top||A.ext),B,s);this.createChar(q,(A.bot||A.ext),B,s);var g={bbox:{w:0,lw:0,rw:0}},z=g,j;var w=r.bbox.h+r.bbox.d+q.bbox.h+q.bbox.d;var m=-r.bbox.h;this.placeBox(r,0,m,true);m-=r.bbox.d;if(A.mid){z=this.createBox(i);this.createChar(z,A.mid,B,s);w+=z.bbox.h+z.bbox.d}if(p>w){g=this.Element("span");this.createChar(g,A.ext,B,s);var x=g.bbox.h+g.bbox.d,f=x-0.05,t,l,u=(A.mid?2:1);l=t=Math.ceil((p-w)/(u*f));if(!A.fullExtenders){f=(p-w)/(u*t)}var o=(t/(t+1))*(x-f);f=x-o;m+=o+f-g.bbox.h;while(u-->0){while(t-->0){if(!this.msieCloneNodeBug){j=g.cloneNode(true)}else{j=this.Element("span");this.createChar(j,A.ext,B,s)}m-=f;this.placeBox(this.addBox(i,j),0,m,true)}m+=o-g.bbox.d;if(A.mid&&u){this.placeBox(z,0,m-z.bbox.h,true);t=l;m+=-(z.bbox.h+z.bbox.d)+o+f-g.bbox.h}}}else{m+=(w-p)/2;if(A.mid){this.placeBox(z,0,m-z.bbox.h,true);m+=-(z.bbox.h+z.bbox.d)}m+=(w-p)/2}this.placeBox(q,0,m-q.bbox.h,true);m-=q.bbox.h+q.bbox.d;v.bbox={w:Math.max(r.bbox.w,g.bbox.w,q.bbox.w,z.bbox.w),lw:Math.min(r.bbox.lw,g.bbox.lw,q.bbox.lw,z.bbox.lw),rw:Math.max(r.bbox.rw,g.bbox.rw,q.bbox.rw,z.bbox.rw),h:0,d:-m};v.scale=B;v.offset=0.55*v.bbox.w;v.isMultiChar=true;this.setStackWidth(i,v.bbox.w)},extendDelimiterH:function(u,h,z,B,r){var l=this.createStack(u,true);var i=this.createBox(l),v=this.createBox(l);this.createChar(i,(z.left||z.rep),B,r);this.createChar(v,(z.right||z.rep),B,r);var f=this.Element("span");this.createChar(f,z.rep,B,r);var y={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},g;this.placeBox(i,-i.bbox.lw,0,true);var p=(i.bbox.rw-i.bbox.lw)+(v.bbox.rw-v.bbox.lw)-0.05,o=i.bbox.rw-i.bbox.lw-0.025,q;if(z.mid){y=this.createBox(l);this.createChar(y,z.mid,B,r);p+=y.bbox.w}if(h>p){var A=f.bbox.rw-f.bbox.lw,j=A-0.05,s,m,t=(z.mid?2:1);m=s=Math.ceil((h-p)/(t*j));j=(h-p)/(t*s);q=(s/(s+1))*(A-j);j=A-q;o-=f.bbox.lw+q;while(t-->0){while(s-->0){if(!this.msieCloneNodeBug){g=f.cloneNode(true)}else{g=this.Element("span");this.createChar(g,z.rep,B,r)}this.placeBox(this.addBox(l,g),o,0,true);o+=j}if(z.mid&&t){this.placeBox(y,o,0,true);o+=y.bbox.w-q;s=m}}}else{q=Math.min(p-h,i.bbox.w/2);o-=q/2;if(z.mid){this.placeBox(y,o,0,true);o+=y.bbox.w}o-=q/2}this.placeBox(v,o,0,true);u.bbox={w:o+v.bbox.rw,lw:0,rw:o+v.bbox.rw,H:Math.max(i.bbox.h,f.bbox.h,v.bbox.h,y.bbox.h),D:Math.max(i.bbox.d,f.bbox.d,v.bbox.d,y.bbox.d),h:f.bbox.h,d:f.bbox.d};u.scale=B;u.isMultiChar=true;this.setStackWidth(l,u.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l<g;l++){p+=String.fromCharCode(k[0][l])}}else{p=String.fromCharCode(k[0])}if(h!==1){n=this.addElement(o,"span",{style:{fontSize:this.Percent(h)},scale:h});this.handleVariant(n,j,p);o.bbox=n.bbox}else{this.handleVariant(o,j,p)}if(k[2]){o.style.marginLeft=this.Em(k[2])}if(this.AccentBug&&o.bbox.w===0){n.firstChild.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o.offsetWidth/e.em)}},positionDelimiter:function(g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g.firstChild.style.display===""&&g.style.top!==""){g=g.firstChild;f-=parseFloat(g.style.top)}g.style.position="relative";g.style.top=this.Em(-f)}else{g.style.verticalAlign=this.Em(f);if(e.ffVerticalAlignBug){e.createRule(g.parentNode,g.bbox.h,0,0)}}}},handleVariant:function(v,j,o){var 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g=this.HTMLspanElement();if(g.style.fontSize!=""){f.fontsize=g.style.fontSize}}if(f.fontsize&&!this.mathsize){f.mathsize=f.fontsize}if(f.scriptlevel!==0){if(f.scriptlevel>2){f.scriptlevel=2}h=Math.pow(this.Get("scriptsizemultiplier"),f.scriptlevel);f.scriptminsize=e.length2em(f.scriptminsize);if(h<f.scriptminsize){h=f.scriptminsize}}h*=e.length2em(f.mathsize);return h},HTMLgetVariant:function(){var f=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var h=this.HTMLspanElement();if(h.style.fontFamily){f.fontfamily=h.style.fontFamily}if(h.style.fontWeight){f.fontweight=h.style.fontWeight}if(h.style.fontStyle){f.fontStyle=h.style.fontStyle}}var g=f.mathvariant;if(this.variantForm){g="-"+e.fontInUse+"-variant"}if(f.fontfamily&&!this.mathvariant){if(!f.fontweight&&f.mathvariant.match(/bold/)){f.fontweight="bold"}if(!f.fontstyle&&f.mathvariant.match(/italic/)){f.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:f.fontfamily,style:f.fontstyle,weight:f.fontweight}}}if(f.fontweight==="bold"){g={normal:a.VARIANT.BOLD,italic:a.VARIANT.BOLDITALIC,fraktur:a.VARIANT.BOLDFRAKTUR,script:a.VARIANT.BOLDSCRIPT,"sans-serif":a.VARIANT.BOLDSANSSERIF,"sans-serif-italic":a.VARIANT.SANSSERIFBOLDITALIC}[g]||g}else{if(f.fontweight==="normal"){g={bold:a.VARIANT.normal,"bold-italic":a.VARIANT.ITALIC,"bold-fraktur":a.VARIANT.FRAKTUR,"bold-script":a.VARIANT.SCRIPT,"bold-sans-serif":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.SANSSERIFITALIC}[g]||g}}if(f.fontstyle==="italic"){g={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[g]||g}else{if(f.fontstyle==="normal"){g={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[g]||g}}return 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l=this.data[1].toHTML(i);l.style.paddingRight=l.style.paddingLeft="";e.Measured(l,i)}else{i.bbox=this.HTMLzeroBBox()}var j=this.HTMLrootHeight(g.bbox.h+g.bbox.d,f,i)-k;var n=Math.min(i.bbox.w,i.bbox.rw);m=Math.max(n,g.offset);e.placeBox(i,m-n,j);return m-g.offset},HTMLrootHeight:function(h,g,f){return 0.45*(h-0.9*g)+0.6*g+Math.max(0,f.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data.open){this.data.open.toHTML(k)}if(this.data[0]!=null){this.data[0].toHTML(k)}for(var g=1,f=this.data.length;g<f;g++){if(this.data[g]){if(this.data["sep"+g]){this.data["sep"+g].toHTML(k)}this.data[g].toHTML(k)}}if(this.data.close){this.data.close.toHTML(k)}var n=this.HTMLcomputeBBox(k);var j=k.bbox.h,l=k.bbox.d;for(g=0,f=n.length;g<f;g++){n[g].HTMLstretchV(k,j,l)}if(n.length){this.HTMLcomputeBBox(k,true)}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLcomputeBBox:function(k,j){var g=k.bbox={},l=[];this.HTMLcheckStretchy(this.data.open,g,l,j);this.HTMLcheckStretchy(this.data[0],g,l,j);for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){this.HTMLcheckStretchy(this.data["sep"+h],g,l,j);this.HTMLcheckStretchy(this.data[h],g,l,j)}}this.HTMLcheckStretchy(this.data.close,g,l,j);this.HTMLcleanBBox(g);return l},HTMLcheckStretchy:function(f,g,i,h){if(f){if(!h&&f.HTMLcanStretch("Vertical")){i.push(f);f=(f.CoreMO()||f)}this.HTMLcombineBBoxes(f,g)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(f){if(this.data[0]!=null){f=this.data[0].toHTML(f);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(f)}return 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l=[],I=[],q,H,C,g=-e.BIGDIMEN,F=g;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H]=e.createBox(j);e.Measured(this.data[H].toHTML(q),q);if(H==this.base){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(q,B,z),q)}else{if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchH(q,B),q)}}I[H]=(z==null&&B!=null?false:this.data[H].HTMLcanStretch("Horizontal"))}else{I[H]=this.data[H].HTMLcanStretch("Horizontal")}if(q.bbox.w>F){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(z==null&&B!=null){g=B}else{if(g==-e.BIGDIMEN){g=F}}for(H=F=0,C=this.data.length;H<C;H++){if(this.data[H]){q=l[H];if(I[H]){q.bbox=this.data[H].HTMLstretchH(q,g).bbox}if(q.bbox.w>F){F=q.bbox.w}}}var w=e.TeX.rule_thickness,A=e.FONTDATA.TeX_factor;var h=l[this.base]||{bbox:this.HTMLzeroBBox()},J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H];o=e.TeX.big_op_spacing5*K;var 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G=this.HTMLgetScale();var j=e.createStack(C),g;var i=e.createBox(j);this.HTMLmeasureChild(this.base,i);if(this.data[this.base]){if(w!=null){e.Remeasured(this.data[this.base].HTMLstretchV(i,A,w),i)}else{if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchH(i,A),i)}}}e.placeBox(i,0,0);var h=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var E=e.TeX.x_height*G,o=e.TeX.scriptspace*G*0.75;var f,k;if(this.HTMLnotEmpty(this.data[this.sup])){f=e.createBox(j);e.Measured(this.data[this.sup].toHTML(f),f);f.bbox.w+=o;f.bbox.rw=Math.max(f.bbox.w,f.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){k=e.createBox(j);e.Measured(this.data[this.sub].toHTML(k),k);k.bbox.w+=o;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var m=i.bbox.h-y,l=i.bbox.d+x,F=0,z;if(i.bbox.ic){F=i.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&i.bbox.scale===1&&!this.data[this.base].Get("largeop")){m=l=0}}var B=this.getValues("subscriptshift","superscriptshift");B.subscriptshift=(B.subscriptshift===""?0:e.length2em(B.subscriptshift));B.superscriptshift=(B.superscriptshift===""?0:e.length2em(B.superscriptshift));if(!f){if(k){l=Math.max(l,e.TeX.sub1*G,k.bbox.h-(4/5)*E,B.subscriptshift);e.placeBox(k,i.bbox.w+o-F,-l,k.bbox)}}else{if(!k){g=this.getValues("displaystyle","texprimestyle");z=e.TeX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];m=Math.max(m,z*G,f.bbox.d+(1/4)*E,B.superscriptshift);e.placeBox(f,i.bbox.w+o,m,f.bbox)}else{l=Math.max(l,e.TeX.sub2*G);var n=e.TeX.rule_thickness*G;if((m-f.bbox.d)-(k.bbox.h-l)<3*n){l=3*n-m+f.bbox.d+k.bbox.h;y=(4/5)*E-(m-f.bbox.d);if(y>0){m+=y;l-=y}}e.placeBox(f,i.bbox.w+o,Math.max(m,B.superscriptshift));e.placeBox(k,i.bbox.w+o-F,-Math.max(l,B.subscriptshift))}}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a["annotation-xml"].Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(n,g){var k=this.Get("alttext");if(k){g.setAttribute("aria-label",k)}var h=e.addElement(n,"nobr");n=this.HTMLcreateSpan(h);var l=e.createStack(n),i=e.createBox(l),m;l.style.fontSize=h.parentNode.style.fontSize;h.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===a.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}g.style.textAlign=o.indentalign;if(o.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift=this.displayIndent}if(o.indentshift&&o.indentalign!==a.INDENTALIGN.CENTER){n.style[{left:"marginLeft",right:"marginRight"}[o.indentalign]]=e.Em(e.length2em(o.indentshift))}}return n}});a.TeXAtom.Augment({toHTML:function(g){g=this.HTMLcreateSpan(g);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var f=e.createStack(g);var h=e.createBox(f);e.Measured(this.data[0].toHTML(h),h);e.placeBox(h,0,e.TeX.axis_height-(h.bbox.h+h.bbox.d)/2+h.bbox.d)}else{g.bbox=this.data[0].toHTML(g).bbox}}this.HTMLhandleSpace(g);this.HTMLhandleColor(g);return g}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(f){var i=f.versionAtLeast("7.0");var h=f.versionAtLeast("8.0")&&document.documentMode>7;var g=(document.compatMode==="BackCompat");e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax 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g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var i=d.config["HTML-CSS"];if(i){i.availableFonts=[];i.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(f){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(f.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(f){f.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(f.versionAtLeast("10.0")&&!f.isMini?"otf":false),adjustAvailableFonts:function(j){for(var h=0,g=j.length;h<g;h++){if(j[h]==="STIX"){j.splice(h,1);g--;h--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=j[0]}}})},Konqueror:function(f){e.Augment({konquerorVerticalAlignBug:true,noContextMenuBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(X){X=this.HTMLcreateSpan(X);if(this.data.length===0){return X}var aJ=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var r=aJ.width.match(/%$/);var ag=b.createStack(X);var am=this.HTMLgetScale();var aH=-1;var w=[],I=[],l=[],O=[],K=[],aF,aE,v=-1,aC,t,ay,R;var aL=b.FONTDATA.baselineskip*am*aJ.useHeight,Z=b.FONTDATA.lineH*am,af=b.FONTDATA.lineD*am;for(aF=0,aC=this.data.length;aF<aC;aF++){R=this.data[aF];ay=(R.type==="mlabeledtr"?aH:0);O[aF]=[];w[aF]=I[aF]=0;for(aE=ay,t=R.data.length+ay;aE<t;aE++){if(l[aE]==null){if(aE>v){v=aE}K[aE]=b.createStack(b.createBox(ag));l[aE]=-b.BIGDIMEN}O[aF][aE]=b.createBox(K[aE]);b.Measured(R.data[aE-ay].toHTML(O[aF][aE]),O[aF][aE]);if(R.data[aE-ay].isMultiline){O[aF][aE].style.width="100%"}if(O[aF][aE].bbox.h>w[aF]){w[aF]=O[aF][aE].bbox.h}if(O[aF][aE].bbox.d>I[aF]){I[aF]=O[aF][aE].bbox.d}if(O[aF][aE].bbox.w>l[aE]){l[aE]=O[aF][aE].bbox.w}}}if(w[0]+I[0]){w[0]=Math.max(w[0],Z)}if(w[O.length-1]+I[O.length-1]){I[O.length-1]=Math.max(I[O.length-1],af)}var al=aJ.columnspacing.split(/ /),S=aJ.rowspacing.split(/ /),ah=aJ.columnalign.split(/ /),L=aJ.rowalign.split(/ /),N=aJ.columnlines.split(/ /),k=aJ.rowlines.split(/ /),ap=aJ.columnwidth.split(/ /),au=[];for(aF=0,aC=al.length;aF<aC;aF++){al[aF]=b.length2em(al[aF])}for(aF=0,aC=S.length;aF<aC;aF++){S[aF]=b.length2em(S[aF])}while(al.length<v){al.push(al[al.length-1])}while(ah.length<=v){ah.push(ah[ah.length-1])}while(N.length<v){N.push(N[N.length-1])}while(ap.length<=v){ap.push(ap[ap.length-1])}while(S.length<O.length){S.push(S[S.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(k.length<O.length){k.push(k[k.length-1])}if(K[aH]){ah[aH]=(aJ.side.substr(0,1)==="l"?"left":"right");al[aH]=-l[aH]}for(aF=0,aC=O.length;aF<aC;aF++){R=this.data[aF];au[aF]=[];if(R.rowalign){L[aF]=R.rowalign}if(R.columnalign){au[aF]=R.columnalign.split(/ /);while(au[aF].length<=v){au[aF].push(au[aF][au[aF].length-1])}}}var az=w[0]+I[O.length-1];for(aF=0,aC=O.length-1;aF<aC;aF++){az+=Math.max((w[aF]+I[aF]?aL:0),I[aF]+w[aF+1]+S[aF])}var ac=0,aa=0,aA,aI=az;if(aJ.frame!=="none"||(aJ.columnlines+aJ.rowlines).match(/solid|dashed/)){ac=b.length2em(aJ.framespacing.split(/[, ]+/)[0]);aa=b.length2em(aJ.framespacing.split(/[, ]+/)[1]);aI=az+2*aa}var h,ax;if(String(aJ.align).match(/^\d+$/)){h=az/2+b.TeX.axis_height*am-w[0];ax=-(az/2+aa)}else{h=({top:-(w[0]+aa),bottom:az+aa-w[0],center:az/2-w[0],baseline:az/2-w[0],axis:az/2+b.TeX.axis_height*am-w[0]})[aJ.align];ax=({top:-(az+2*aa),bottom:0,center:-(az/2+aa),baseline:-(az/2+aa),axis:b.TeX.axis_height*am-az/2-aa})[aJ.align]}var aq,aw=0,U=0,V=0,aB=0,aG=0,o=[],B=[],ai=1;if(aJ.equalcolumns&&aJ.width!=="auto"){if(r){aq=(100/(v+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(aF=0,aC=Math.min(v+1,ap.length);aF<aC;aF++){ap[aF]=aq}aq=0;aw=1;aG=v+1;for(aF=0,aC=Math.min(v+1,al.length);aF<aC;aF++){aq+=al[aF]}}else{aq=b.length2em(aJ.width);for(aF=0,aC=Math.min(v+1,al.length);aF<aC;aF++){aq-=al[aF]}aq/=v+1;for(aF=0,aC=Math.min(v+1,ap.length);aF<aC;aF++){l[aF]=aq}}}else{for(aF=0,aC=Math.min(v+1,ap.length);aF<aC;aF++){if(ap[aF]==="auto"){U+=l[aF]}else{if(ap[aF]==="fit"){B[aG]=aF;aG++;U+=l[aF]}else{if(ap[aF].match(/%$/)){o[aB]=aF;aB++;V+=l[aF];aw+=b.length2em(ap[aF],1)}else{l[aF]=b.length2em(ap[aF]);U+=l[aF]}}}}if(r){aq=0;for(aF=0,aC=Math.min(v,al.length);aF<aC;aF++){aq+=al[aF]}if(aw>0.98){ai=0.98/aw;aw=0.98}}else{if(aJ.width==="auto"){if(aw>0.98){ai=V/(U+V);aq=U+V}else{aq=U/(1-aw)}}else{aq=b.length2em(aJ.width);for(aF=0,aC=Math.min(v+1,al.length);aF<aC;aF++){aq-=al[aF]}}for(aF=0,aC=o.length;aF<aC;aF++){l[o[aF]]=b.length2em(ap[o[aF]],aq*ai);U+=l[o[aF]]}if(Math.abs(aq-U)>0.01){if(aG&&aq>U){aq=(aq-U)/aG;for(aF=0,aC=B.length;aF<aC;aF++){l[B[aF]]+=aq}}else{aq=aq/U;for(aE=0;aE<=v;aE++){l[aE]*=aq}}}if(aJ.equalcolumns){var ad=Math.max.apply(Math,l);for(aE=0;aE<=v;aE++){l[aE]=ad}}}}if(aJ.equalrows){var T=Math.max.apply(Math,w),ao=Math.max.apply(Math,I);for(aF=0,aC=O.length;aF<aC;aF++){ay=((T+ao)-(w[aF]+I[aF]))/2;w[aF]+=ay;I[aF]+=ay}}var ar=h,n,u,aD;ay=(K[aH]?aH:0);for(aE=ay;aE<=v;aE++){for(aF=0,aC=O.length;aF<aC;aF++){if(O[aF][aE]){ay=(this.data[aF].type==="mlabeledtr"?aH:0);var ak=this.data[aF].data[aE-ay];if(ak.HTMLcanStretch("Horizontal")){O[aF][aE].bbox=ak.HTMLstretchH(K[aE],l[aE]).bbox}else{if(ak.HTMLcanStretch("Vertical")){var z=ak.CoreMO();var ab=z.symmetric;z.symmetric=false;O[aF][aE].bbox=ak.HTMLstretchV(K[aE],w[aF],I[aF]).bbox;z.symmetric=ab}}aD=ak.rowalign||this.data[aF].rowalign||L[aF];n=({top:w[aF]-O[aF][aE].bbox.h,bottom:O[aF][aE].bbox.d-I[aF],center:((w[aF]-I[aF])-(O[aF][aE].bbox.h-O[aF][aE].bbox.d))/2,baseline:0,axis:0})[aD];aD=(ak.columnalign||au[aF][aE]||ah[aE]);b.alignBox(O[aF][aE],aD,ar+n)}if(aF<O.length-1){ar-=Math.max((w[aF]+I[aF]?aL:0),I[aF]+w[aF+1]+S[aF])}}ar=h}if(r){var q=b.createBox(ag);q.style.left=q.style.top=0;q.style.right=b.Em(aq+2*ac);q.style.display="inline-block";q.style.height="0px";if(b.msieRelativeWidthBug){q=b.createBox(q);q.style.position="relative";q.style.height="1em";q.style.width="100%";q.bbox=ag.bbox}var an=0,av=ac,aK,g;if(aG){aK=100*(1-aw)/aG,g=U/aG}else{aK=100*(1-aw)/(v+1);g=U/(v+1)}for(aE=0;aE<=v;aE++){b.placeBox(K[aE].parentNode,0,0);K[aE].style.position="relative";K[aE].style.left=b.Em(av);K[aE].style.width="100%";K[aE].parentNode.parentNode.removeChild(K[aE].parentNode);var e=b.createBox(q);b.addBox(e,K[aE]);K[aE]=e;var ae=e.style;ae.display="inline-block";ae.left=an+"%";if(ap[aE].match(/%$/)){var G=parseFloat(ap[aE])*ai;if(aG===0){ae.width=(aK+G)+"%";an+=aK+G;e=b.createBox(e);b.addBox(e,K[aE].firstChild);e.style.left=0;e.style.right=b.Em(g);av-=g}else{ae.width=G+"%";an+=G}}else{if(ap[aE]==="fit"||aG===0){ae.width=aK+"%";e=b.createBox(e);b.addBox(e,K[aE].firstChild);e.style.left=0;e.style.right=b.Em(g-l[aE]);av+=l[aE]-g;an+=aK}else{ae.width=b.Em(l[aE]);av+=l[aE]}}if(b.msieRelativeWidthBug){b.addText(e.firstChild,b.NBSP);e.firstChild.style.position="relative"}av+=al[aE];if(N[aE]!=="none"&&aE<v&&aE!==aH){u=b.createBox(q);u.style.left=an+"%";u=b.createRule(u,aI,0,1.25/b.em);u.style.position="absolute";u.bbox={h:aI,d:0,w:0,rw:1.25/b.em,lw:0};u.parentNode.bbox=ag.bbox;b.placeBox(u,av-al[aE]/2,ax,true);u.style.borderStyle=N[aE]}}}else{var at=ac;for(aE=0;aE<=v;aE++){if(!K[aE].bbox.width){b.setStackWidth(K[aE],l[aE])}if(ap[aE]!=="auto"&&ap[aE]!=="fit"){K[aE].bbox.width=l[aE];K[aE].bbox.isFixed=true}b.placeBox(K[aE].parentNode,at,0);at+=l[aE]+al[aE];if(N[aE]!=="none"&&aE<v&&aE!==aH){u=b.createRule(ag,aI,0,1.25/b.em);b.addBox(ag,u);u.bbox={h:aI,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(u,at-al[aE]/2,ax,true);u.style.borderStyle=N[aE]}}}aA=ag.bbox.w+ac;var d;if(aJ.frame!=="none"){d=b.createFrame(ag,aI,0,aA,1.25/b.em,aJ.frame);b.addBox(ag,d);b.placeBox(d,0,ax,true);if(r){d.style.width="100%"}}ar=h;for(aF=0,aC=O.length-1;aF<aC;aF++){n=Math.max(aL,I[aF]+w[aF+1]+S[aF]);if(k[aF]!=="none"){u=b.createRule(ag,1.25/b.em,0,aA);b.addBox(ag,u);u.bbox={h:1.25/b.em,d:0,w:aA,rw:aA,lw:0};b.placeBox(u,0,ar-I[aF]-(n-I[aF]-w[aF+1])/2,true);if(k[aF]==="dashed"||r){u.style.borderTop=u.style.height+" "+k[aF];u.style.height=0;u.style.width=u.style.borderLeftWidth;u.style.borderLeft="";if(r){u.style.width="100%"}}}ar-=n}if(r){X.bbox.width=aJ.width;ag.style.width="100%"}if(K[aH]){var Q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(Q.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){Q.indentalign=Q.indentalignfirst}if(Q.indentalign===a.INDENTALIGN.AUTO){Q.indentalign=this.displayAlign}if(Q.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){Q.indentshift=Q.indentshiftfirst}if(Q.indentshift==="auto"){Q.indentshift=this.displayIndent}var E=b.createStack(X,false,"100%");b.addBox(E,ag);b.alignBox(ag,Q.indentalign,0);if(Q.indentshift&&Q.indentalign!==a.INDENTALIGN.CENTER){ag.style[{left:"Left",right:"Right"}[Q.indentalign]]=b.Em(b.length2em(Q.indentshift))}K[aH].parentNode.parentNode.removeChild(K[aH].parentNode);b.addBox(E,K[aH]);b.alignBox(K[aH],ah[aH],0);if(b.msieRelativeWidthBug){ag.style.top=K[aH].style.top=""}if(r){ag.style.width=aJ.width;X.bbox.width="100%"}K[aH].style.marginRight=K[aH].style.marginLeft=b.Em(b.length2em(aJ.minlabelspacing))}if(!r){this.HTMLhandleSpace(X)}var aj=this.HTMLhandleColor(X);if(aj&&r){if(!d){d=b.createFrame(ag,aI,0,aA,0,"none");b.addBox(ag,d);b.placeBox(d,0,ax,true);d.style.width="100%"}d.style.backgroundColor=aj.style.backgroundColor;d.parentNode.insertBefore(d,d.parentNode.firstChild);aj.parentNode.removeChild(aj)}return X},HTMLhandleSpace:function(d){d.style.paddingLeft=d.style.paddingRight=".1667em"}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=b.Measured(this.data[0].toHTML(e),e);if(g!=null){b.Remeasured(this.data[0].HTMLstretchV(e,d,g),e)}else{if(d!=null){b.Remeasured(this.data[0].HTMLstretchH(e,d),e)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 
diff --git a/public/MathJax/config/MML_HTMLorMML.js b/public/MathJax/config/MML_HTMLorMML.js
index 7feafb55..05f975ee 100644
--- a/public/MathJax/config/MML_HTMLorMML.js
+++ b/public/MathJax/config/MML_HTMLorMML.js
@@ -29,24 +29,24 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
 
-(function(c){var h="1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
 
-MathJax.Extension.mml2jax={version:"1.1",config:{element:null,preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=this.config.element||document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.msieMathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.msieProcessMath(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.msieScriptBug){var b=this.msieOuterHTML(e);b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");MathJax.HTML.setScript(a,b.replace(/&nbsp;/g,"&#xA0;"));d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},msieProcessMath:function(e){var c=e.parentNode;var a=document.createElement("script");a.type="math/mml";c.insertBefore(a,e);var b="",d;while(e&&e.nodeName!=="/MATH"){d=e;e=e.nextSibling;b+=this.msieNodeHTML(d);d.parentNode.removeChild(d)}if(e&&e.nodeName==="/MATH"){e.parentNode.removeChild(e)}a.text=b+"</math>";if(this.config.preview!=="none"){this.createPreview(e,a)}},msieNodeHTML:function(d){var c,b,a;if(d.nodeName==="#text"){c=d.nodeValue.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;")}else{if(d.nodeName==="#comment"){c="<!--"+d.nodeValue+"-->"}else{if(this.msieAttributeBug){c="<"+d.nodeName.toLowerCase();for(b=0,a=d.attributes.length;b<a;b++){if(d.attributes[b].specified){c+=" "+d.attributes[b].nodeName.toLowerCase()+"=";c+='"'+d.attributes[b].nodeValue.replace(/\"/g,'\\"')+'"'}}c+=">"}else{c=this.toLowerCase(d.outerHTML);var e=c.split(/\"/);for(b=0,a=e.length;b<a;b+=2){e[b]=e[b].toLowerCase()}c=e.join('"')}}}return c},msieOuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.msieNodeHTML(d)}if(!this.msieAttributeBug){return d.outerHTML}var c=this.msieNodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.msieOuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){MathJax.Hub.Browser.Select({MSIE:function(a){var b=MathJax.HTML.Element("span",{className:"mathjax"});MathJax.Hub.Insert(MathJax.Extension.mml2jax,{msieScriptBug:true,msieMathTagBug:(MathJax.HTML.Element("span",{innerHTML:"<math><mi>x</mi></math>"}).childNodes.length!==1),msieAttributeBug:(b.outerHTML.substr(12)!=='"')})}})}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var d,c,a;if(e.nodeName==="#text"){d=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){d="<!--"+e.nodeValue+"-->"}else{d="<"+e.nodeName.toLowerCase();var b=e.attributes;for(c=0,a=b.length;c<a;c++){if(b[c].specified){d+=" "+b[c].nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";d+='"'+this.quoteHTML(b[c].nodeValue)+'"'}}d+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(c=0,a=e.childNodes.length;c<a;c++){d+=this.OuterHTML(e.childNodes[c])}d+="</"+e.nodeName.toLowerCase()+">"}}}return d},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var 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229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03F5",epsiv:"\u03B5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",lowbar:"\u005F",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nhArr:"\u21CE",nharr:"\u21AE",nlArr:"\u21CD",nlarr:"\u219A",not:"\u00AC",nrArr:"\u21CF",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03D5",phiv:"\u03C6",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
+(function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(f){var g;if(typeof f!=="string"){g=f.parentNode}else{if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");f=f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);g=b.ParseXML(f);if(g==null){b.Error("Error parsing MathML")}}var e=g.getElementsByTagName("parsererror")[0];if(e){b.Error("Error parsing MathML: "+e.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(g.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(g.firstChild.nodeName.toLowerCase()==="html"){var d=g.getElementsByTagName("h1")[0];if(d&&d.textContent==="XML parsing error"&&d.nextSibling){b.Error("Error parsing MathML: "+String(d.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(g.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+g.firstChild.nodeName+">")}this.mml=this.MakeMML(g.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k<j;k++){e=h.attributes[k].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}n=h.attributes[k].value;if(n.toLowerCase()==="true"){n=true}else{if(n.toLowerCase()==="false"){n=false}}d[e]=n}for(k=0,j=h.childNodes.length;k<j;k++){var f=h.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(d.isToken&&!d.mmlSelfClosing){var o=this.trimSpace(f.nodeValue);if(d.isa(a.mo)&&o.length===1&&this.Remap[o.charAt(0)]){o=this.Remap[o.charAt(0)]}o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);d.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+f.nodeValue+"'")}}}else{if(d.type==="annotation-xml"){d.Append(a.xml(f))}else{var g=this.MakeMML(f);d.Append(g);if(g.mmlSelfClosing&&g.data.length){d.Append.apply(d,g.data);g.data=[]}}}}if(b.config.useMathMLspacing){d.useMMLspacing=8}return d},trimSpace:function(d){return d.replace(/^[ \t\n\r]+/,"").replace(/[ \t\n\r]+$/,"").replace(/[ \t\n\r][ \t\n\r]+/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f},Remap:{"\u0027":"\u2032","\u002A":"\u2217","\u002D":"\u2212"}},{loaded:[]});b.Augment({Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g;if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){g=this.prefilterMathML(d.firstChild)}else{g=d.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}else{if(c.isKonqueror){g=g.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax.");return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClossing:true})}});b.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 
 MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML.js");
diff --git a/public/MathJax/config/MMLorHTML.js b/public/MathJax/config/MMLorHTML.js
index f9f70e03..b19f5fcd 100644
--- a/public/MathJax/config/MMLorHTML.js
+++ b/public/MathJax/config/MMLorHTML.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(c){var h="1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
 
diff --git a/public/MathJax/config/TeX-AMS-MML_HTMLorMML-full.js b/public/MathJax/config/TeX-AMS-MML_HTMLorMML-full.js
index f0747f45..9c048fb4 100644
--- a/public/MathJax/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/public/MathJax/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -39,43 +39,43 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
 
-(function(c){var h="1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
 
-MathJax.Extension.tex2jax={version:"1.1",config:{element:null,inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=this.config.element||document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(b,c){var d=this.match[b[0]];if(d!=null){this.search={end:d.end,mode:d.mode,open:c,olen:b[0].length,opos:this.pattern.lastIndex-b[0].length};this.switchPattern(d.pattern)}else{if(b[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+b[1]+"}",mode:"; mode=display",open:c,olen:0,opos:this.pattern.lastIndex-b[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var a=b[0].replace(/\\(.)/g,"$1");c.nodeValue=c.nodeValue.substr(0,b.index)+a+c.nodeValue.substr(b.index+b[0].length);this.pattern.lastIndex-=b[0].length-a.length}}return c},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{c.nodeValue+=" "}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
 
-MathJax.Extension.mml2jax={version:"1.1",config:{element:null,preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=this.config.element||document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.msieMathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.msieProcessMath(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.msieScriptBug){var b=this.msieOuterHTML(e);b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");MathJax.HTML.setScript(a,b.replace(/&nbsp;/g,"&#xA0;"));d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},msieProcessMath:function(e){var c=e.parentNode;var a=document.createElement("script");a.type="math/mml";c.insertBefore(a,e);var b="",d;while(e&&e.nodeName!=="/MATH"){d=e;e=e.nextSibling;b+=this.msieNodeHTML(d);d.parentNode.removeChild(d)}if(e&&e.nodeName==="/MATH"){e.parentNode.removeChild(e)}a.text=b+"</math>";if(this.config.preview!=="none"){this.createPreview(e,a)}},msieNodeHTML:function(d){var c,b,a;if(d.nodeName==="#text"){c=d.nodeValue.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;")}else{if(d.nodeName==="#comment"){c="<!--"+d.nodeValue+"-->"}else{if(this.msieAttributeBug){c="<"+d.nodeName.toLowerCase();for(b=0,a=d.attributes.length;b<a;b++){if(d.attributes[b].specified){c+=" "+d.attributes[b].nodeName.toLowerCase()+"=";c+='"'+d.attributes[b].nodeValue.replace(/\"/g,'\\"')+'"'}}c+=">"}else{c=this.toLowerCase(d.outerHTML);var e=c.split(/\"/);for(b=0,a=e.length;b<a;b+=2){e[b]=e[b].toLowerCase()}c=e.join('"')}}}return c},msieOuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.msieNodeHTML(d)}if(!this.msieAttributeBug){return d.outerHTML}var c=this.msieNodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.msieOuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){MathJax.Hub.Browser.Select({MSIE:function(a){var b=MathJax.HTML.Element("span",{className:"mathjax"});MathJax.Hub.Insert(MathJax.Extension.mml2jax,{msieScriptBug:true,msieMathTagBug:(MathJax.HTML.Element("span",{innerHTML:"<math><mi>x</mi></math>"}).childNodes.length!==1),msieAttributeBug:(b.outerHTML.substr(12)!=='"')})}})}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var d,c,a;if(e.nodeName==="#text"){d=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){d="<!--"+e.nodeValue+"-->"}else{d="<"+e.nodeName.toLowerCase();var b=e.attributes;for(c=0,a=b.length;c<a;c++){if(b[c].specified){d+=" "+b[c].nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";d+='"'+this.quoteHTML(b[c].nodeValue)+'"'}}d+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(c=0,a=e.childNodes.length;c<a;c++){d+=this.OuterHTML(e.childNodes[c])}d+="</"+e.nodeName.toLowerCase()+">"}}}return d},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
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+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.MathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},MathMLattributes:function(){var j=[],g=this.defaults;var c=this.copyAttributes,l=this.skipAttributes;if(this.type==="math"){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.quoteHTML(k)+'"')}this[d]=k}}}for(var h=0,f=c.length;h<f;h++){if(this[c[h]]!=null){j.push(c[h]+'="'+this.quoteHTML(this[c[h]])+'"')}}if(j.length){return" "+j.join(" ")}else{return""}},copyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],skipAttributes:{texClass:1,useHeight:1,texprimestyle:1},quoteHTML:function(e){e=String(e).split("");for(var f=0,d=e.length;f<d;f++){var h=e[f].charCodeAt(0);if(h<32||h>126){e[f]="&#x"+h.toString(16).toUpperCase()+";"}else{var g={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[e[f]];if(g){e[f]=g}}}return e.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(c){return c+"<mrow>\n"+this.data[0].toMathML(c+"  ")+"\n"+c+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.quoteHTML(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 
-(function(){var c="1.0.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
 
-MathJax.Extension["TeX/noUndefined"]={version:"1.0.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 
-(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for "+k)}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:c,name:"\\over",checkItem:function(m,k){if(m.type==="over"){d.Error("Ambiguous use of "+m.name)}if(m.isClose){var l=i.mfrac(this.num,this.mmlData(f));if(this.thickness!=null){l.linethickness=this.thickness}if(this.open||this.close){l.texClass=i.TEXCLASS.INNER;l.texWithDelims=c;l=i.mfenced(l).With({open:this.open,close:this.close})}return[b.mml(l),m]}return this.SUPER(arguments).checkItem.call(this,m)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:c,delim:"(",stopError:"Extra \\left or missing \\right",checkItem:function(l){if(l.type==="right"){var k=i.mfenced(this.data.length===1?this.data[0]:i.mrow.apply(i,this.data));return b.mml(k.With({open:this.delim,close:l.delim}))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:c,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:c,checkItem:function(k){if(k.type==="end"){if(k.name!==this.name){d.Error("\\begin{"+this.name+"} ended with \\end{"+k.name+"}")}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(k.type==="stop"){d.Error("Missing \\end{"+this.name+"}")}return this.SUPER(arguments).checkItem.call(this,k)}});b.end=b.Subclass({type:"end",isClose:c});b.style=b.Subclass({type:"style",checkItem:function(l){if(!l.isClose){return this.SUPER(arguments).checkItem.call(this,l)}var k=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(k),l]}});b.position=b.Subclass({type:"position",checkItem:function(l){if(l.isClose){d.Error("Missing box for "+this.name)}if(l.isNotStack){var k=l.mmlData();switch(this.move){case"vertical":k=i.mpadded(k).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(k)];case"horizontal":return[b.mml(this.left),l,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,l)}});b.array=b.Subclass({type:"array",isOpen:c,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(l){if(l.isClose&&l.type!=="over"){if(l.isEntry){this.EndEntry();this.clearEnv();return f}if(l.isCR){this.EndEntry();this.EndRow();this.clearEnv();return f}this.EndTable();this.clearEnv();var k=i.mtable.apply(i,this.table).With(this.arraydef);if(this.open||this.close){k=i.mfenced(k).With({open:this.open,close:this.close})}k=b.mml(k);if(this.requireClose){if(l.type==="close"){return k}d.Error("Missing close brace")}return[k,l]}return 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a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});if(MathJax.Hub.Browser.isMSIE){MathJax.InputJax.TeX.Definitions.mathchar0mi.digamma=["03DC",{variantForm:true}];MathJax.InputJax.TeX.Definitions.mathchar0mi.varkappa=["03F0",{variantForm:true}]}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashr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false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face 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g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);
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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}},Translate:function(g){if(!g.parentNode){return}if(!this.initialized){this.InitializeMML()}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS",src:"local('MathJax_AMS'), url('"+f+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+f+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+f+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+f+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+f+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+f+"/MathJax_Caligraphic-Bold.otf')"}}}})}a.TeXAtom.Augment({toNativeMML:function(h){var g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(j){for(var h=0,g=this.data.length;h<g;h++){j.appendChild(this.data[h].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);
 
-(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(j,g){if(g&&this.testCollection(g)){return g}for(var h=0,f=j.length;h<f;h++){if(j[h]===g){continue}if(this.testCollection(j[h])){return j[h]}}return null},testCollection:function(f){return this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DEFAULTFAMILY:"serif",DEFAULTWEIGHT:"normal",DEFAULTSTYLE:"normal",DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;var i=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=i+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&i!==100){this.em=a.mbase.prototype.em=f*i/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete 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i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var 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o=(h.bbox.rw-h.bbox.lw)+(u.bbox.rw-u.bbox.lw)-0.05,m=h.bbox.rw-h.bbox.lw-0.025;if(y.mid){v=this.createBox(j);this.createChar(v,y.mid,A,q);o+=v.bbox.w}if(g>o){var z=f.bbox.rw-f.bbox.lw,i=z-0.05,r,l,s=(y.mid?2:1);l=r=Math.ceil((g-o)/(s*i));i=(g-o)/(s*r);var p=(r/(r+1))*(z-i);i=z-p;m-=f.bbox.lw+p;while(s-->0){while(r-->0){this.placeBox(this.addBox(j,f.cloneNode(true)),m,0,true);m+=i}if(y.mid&&s){this.placeBox(v,m,0,true);m+=v.bbox.w-p;r=l}}}else{m-=(o-g)/2;if(y.mid){this.placeBox(v,m,0,true);m+=v.bbox.w}m-=(o-g)/2}this.placeBox(u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:Math.max(h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:Math.max(h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t.isMultiChar=true;this.setStackWidth(j,t.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var 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u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||this.FONTDATA.DEFAULTSTYLE,i=f.weight||this.FONTDATA.DEFAULTWEIGHT;if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,k,j,i){var h=k[5];if(h.img){return this.handleImg(g,f,k,j,i)}if(h.c==null){if(j<=65535){h.c=String.fromCharCode(j)}else{h.c=this.PLANE1+String.fromCharCode(j-119808+56320)}}if(k[2]||!this.msieAccentBug||i.length){return i+h.c}e.createShift(g,k[3]/1000);e.createShift(g,(k[4]-k[3])/1000);this.addText(g,h.c);e.createShift(g,-k[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete j.FONTS;this.loadFont(g)}if(g[p]){if(g[p].length===5){g[p][5]={}}if(e.allowWebFonts&&!g.available){this.loadWebFont(g)}else{return g}}else{this.findBlock(g,p)}}var k=(j.defaultFont||{family:e.FONTDATA.DEFAULTFAMILY+",serif"});k[p]=[800,200,500,0,500,{isUnknown:true}];return k},findBlock:function(g,n){if(g.Ranges){for(var l=0,f=g.Ranges.length;l<f;l++){if(n<g.Ranges[l][0]){return}if(n<=g.Ranges[l][1]){var k=g.Ranges[l][2];for(var h=g.Ranges.length-1;h>=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:function(g){var f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1:String.fromCharCode(55349),NBSP:String.fromCharCode(160),rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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g=k.bbox={},l=[];this.HTMLcheckStretchy(this.data.open,g,l,j);this.HTMLcheckStretchy(this.data[0],g,l,j);for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){this.HTMLcheckStretchy(this.data["sep"+h],g,l,j);this.HTMLcheckStretchy(this.data[h],g,l,j)}}this.HTMLcheckStretchy(this.data.close,g,l,j);this.HTMLcleanBBox(g);return l},HTMLcheckStretchy:function(f,g,i,h){if(f){if(!h&&f.HTMLcanStretch("Vertical")){i.push(f);f=(f.CoreMO()||f)}this.HTMLcombineBBoxes(f,g)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(f){if(this.data[0]!=null){f=this.data[0].toHTML(f);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(f)}return f},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(g,f){return(this.data[0]!=null?this.data[0].HTMLstretchH(g,f):g)},HTMLstretchV:function(g,f,i){return(this.data[0]!=null?this.data[0].HTMLstretchV(g,f,i):g)}});a.munderover.Augment({toHTML:function(G,B,z){var f=this.getValues("displaystyle","accent","accentunder","align");if(!f.displaystyle&&this.data[this.base]!=null&&this.data[this.base].Get("movablelimits")){return a.msubsup.prototype.toHTML.call(this,G)}G=this.HTMLcreateSpan(G);var K=this.HTMLgetScale();var j=e.createStack(G);var l=[],I=[],q,H,C,g=-e.BIGDIMEN,F=g;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H]=e.createBox(j);e.Measured(this.data[H].toHTML(q),q);if(H==this.base){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(q,B,z),q)}else{if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchH(q,B),q)}}I[H]=(z==null&&B!=null?false:this.data[H].HTMLcanStretch("Horizontal"))}else{I[H]=this.data[H].HTMLcanStretch("Horizontal")}if(q.bbox.w>F){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(g==-e.BIGDIMEN){g=F}if(z==null&&B!=null){g=F=B}var w=e.TeX.rule_thickness,A=e.FONTDATA.TeX_factor;var h=l[this.base]||{bbox:this.HTMLzeroBBox()},J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H];if(I[H]){q.bbox=this.data[H].HTMLstretchH(q,g).bbox}o=e.TeX.big_op_spacing5*K;var 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G=this.HTMLgetScale();var j=e.createStack(C),g;var i=e.createBox(j);this.HTMLmeasureChild(this.base,i);if(this.data[this.base]){if(w!=null){e.Remeasured(this.data[this.base].HTMLstretchV(i,A,w),i)}else{if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchH(i,A),i)}}}e.placeBox(i,0,0);var h=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var E=e.TeX.x_height*G,o=e.TeX.scriptspace*G*0.75;var f,k;if(this.HTMLnotEmpty(this.data[this.sup])){f=e.createBox(j);e.Measured(this.data[this.sup].toHTML(f),f);f.bbox.w+=o;f.bbox.rw=Math.max(f.bbox.w,f.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){k=e.createBox(j);e.Measured(this.data[this.sub].toHTML(k),k);k.bbox.w+=o;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var 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o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===a.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}g.style.textAlign=o.indentalign;if(o.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift=this.displayIndent}if(o.indentshift&&o.indentalign!==a.INDENTALIGN.CENTER){n.style[{left:"marginLeft",right:"marginRight"}[o.indentalign]]=e.Em(e.length2em(o.indentshift))}}return n}});a.TeXAtom.Augment({toHTML:function(g){g=this.HTMLcreateSpan(g);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var f=e.createStack(g);var h=e.createBox(f);e.Measured(this.data[0].toHTML(h),h);e.placeBox(h,0,e.TeX.axis_height-(h.bbox.h+h.bbox.d)/2+h.bbox.d)}else{g.bbox=this.data[0].toHTML(g).bbox}}this.HTMLhandleSpace(g);this.HTMLhandleColor(g);return 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g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var i=d.config["HTML-CSS"];if(i){i.availableFonts=[];i.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(f){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(f.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(f){f.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(f.versionAtLeast("10.0")&&!f.isMini?"otf":false),adjustAvailableFonts:function(j){for(var h=0,g=j.length;h<g;h++){if(j[h]==="STIX"){j.splice(h,1);g--;h--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=j[0]}}})},Konqueror:function(f){e.Augment({konquerorVerticalAlignBug:true,noContextMenuBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
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l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax img":{display:"inline ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=f*this.scale/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o.style.width=this.Em(q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v.width!=null&&!v.isFixed){if(q.width==null){o.style.width=q.width="100%"}n.style.width=v.width}}},alignBox:function(h,n,m){this.placeBox(h,0,m);var j=h.bbox;if(j.isMultiline){return}var g=j.width!=null&&!j.isFixed;var i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var o=0,k=g.HW.length;o<k;o++){if(g.HW[o][0]*l>=h-0.01||(o==k-1&&!g.stretch)){if(g.HW[o][2]){l*=g.HW[o][2]}if(g.HW[o][3]){f=g.HW[o][3]}var n=this.addElement(q,"span");this.createChar(n,[f,g.HW[o][1]],l,j);q.bbox=n.bbox;q.offset=0.65*q.bbox.w;q.scale=l;return}}if(g.stretch){this["extendDelimiter"+g.dir](q,p,g.stretch,l,j)}},extendDelimiterV:function(v,p,A,B,s){var i=this.createStack(v,true);var r=this.createBox(i),q=this.createBox(i);this.createChar(r,(A.top||A.ext),B,s);this.createChar(q,(A.bot||A.ext),B,s);var g={bbox:{w:0,lw:0,rw:0}},z=g,j;var w=r.bbox.h+r.bbox.d+q.bbox.h+q.bbox.d;var m=-r.bbox.h;this.placeBox(r,0,m,true);m-=r.bbox.d;if(A.mid){z=this.createBox(i);this.createChar(z,A.mid,B,s);w+=z.bbox.h+z.bbox.d}if(p>w){g=this.Element("span");this.createChar(g,A.ext,B,s);var x=g.bbox.h+g.bbox.d,f=x-0.05,t,l,u=(A.mid?2:1);l=t=Math.ceil((p-w)/(u*f));if(!A.fullExtenders){f=(p-w)/(u*t)}var o=(t/(t+1))*(x-f);f=x-o;m+=o+f-g.bbox.h;while(u-->0){while(t-->0){if(!this.msieCloneNodeBug){j=g.cloneNode(true)}else{j=this.Element("span");this.createChar(j,A.ext,B,s)}m-=f;this.placeBox(this.addBox(i,j),0,m,true)}m+=o-g.bbox.d;if(A.mid&&u){this.placeBox(z,0,m-z.bbox.h,true);t=l;m+=-(z.bbox.h+z.bbox.d)+o+f-g.bbox.h}}}else{m+=(w-p)/2;if(A.mid){this.placeBox(z,0,m-z.bbox.h,true);m+=-(z.bbox.h+z.bbox.d)}m+=(w-p)/2}this.placeBox(q,0,m-q.bbox.h,true);m-=q.bbox.h+q.bbox.d;v.bbox={w:Math.max(r.bbox.w,g.bbox.w,q.bbox.w,z.bbox.w),lw:Math.min(r.bbox.lw,g.bbox.lw,q.bbox.lw,z.bbox.lw),rw:Math.max(r.bbox.rw,g.bbox.rw,q.bbox.rw,z.bbox.rw),h:0,d:-m};v.scale=B;v.offset=0.55*v.bbox.w;v.isMultiChar=true;this.setStackWidth(i,v.bbox.w)},extendDelimiterH:function(u,h,z,B,r){var l=this.createStack(u,true);var i=this.createBox(l),v=this.createBox(l);this.createChar(i,(z.left||z.rep),B,r);this.createChar(v,(z.right||z.rep),B,r);var f=this.Element("span");this.createChar(f,z.rep,B,r);var y={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},g;this.placeBox(i,-i.bbox.lw,0,true);var p=(i.bbox.rw-i.bbox.lw)+(v.bbox.rw-v.bbox.lw)-0.05,o=i.bbox.rw-i.bbox.lw-0.025,q;if(z.mid){y=this.createBox(l);this.createChar(y,z.mid,B,r);p+=y.bbox.w}if(h>p){var A=f.bbox.rw-f.bbox.lw,j=A-0.05,s,m,t=(z.mid?2:1);m=s=Math.ceil((h-p)/(t*j));j=(h-p)/(t*s);q=(s/(s+1))*(A-j);j=A-q;o-=f.bbox.lw+q;while(t-->0){while(s-->0){if(!this.msieCloneNodeBug){g=f.cloneNode(true)}else{g=this.Element("span");this.createChar(g,z.rep,B,r)}this.placeBox(this.addBox(l,g),o,0,true);o+=j}if(z.mid&&t){this.placeBox(y,o,0,true);o+=y.bbox.w-q;s=m}}}else{q=Math.min(p-h,i.bbox.w/2);o-=q/2;if(z.mid){this.placeBox(y,o,0,true);o+=y.bbox.w}o-=q/2}this.placeBox(v,o,0,true);u.bbox={w:o+v.bbox.rw,lw:0,rw:o+v.bbox.rw,H:Math.max(i.bbox.h,f.bbox.h,v.bbox.h,y.bbox.h),D:Math.max(i.bbox.d,f.bbox.d,v.bbox.d,y.bbox.d),h:f.bbox.h,d:f.bbox.d};u.scale=B;u.isMultiChar=true;this.setStackWidth(l,u.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l<g;l++){p+=String.fromCharCode(k[0][l])}}else{p=String.fromCharCode(k[0])}if(h!==1){n=this.addElement(o,"span",{style:{fontSize:this.Percent(h)},scale:h});this.handleVariant(n,j,p);o.bbox=n.bbox}else{this.handleVariant(o,j,p)}if(k[2]){o.style.marginLeft=this.Em(k[2])}if(this.AccentBug&&o.bbox.w===0){n.firstChild.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o.offsetWidth/e.em)}},positionDelimiter:function(g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g.firstChild.style.display===""&&g.style.top!==""){g=g.firstChild;f-=parseFloat(g.style.top)}g.style.position="relative";g.style.top=this.Em(-f)}else{g.style.verticalAlign=this.Em(f);if(e.ffVerticalAlignBug){e.createRule(g.parentNode,g.bbox.h,0,0)}}}},handleVariant:function(v,j,o){var u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||"normal",i=f.weight||"normal";if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,l,k,j){var i=l[5];if(i.img){return this.handleImg(g,f,l,k,j)}if(i.isUnknown&&this.FONTDATA.DELIMITERS[k]){if(j.length){this.addText(g,j)}var h=g.scale;e.createDelimiter(g,k,0,1,f);g.scale=h;l[0]=g.bbox.h*1000;l[1]=g.bbox.d*1000;l[2]=g.bbox.w*1000;l[3]=g.bbox.lw*1000;l[4]=g.bbox.rw*1000;return""}if(i.c==null){if(k<=65535){i.c=String.fromCharCode(k)}else{i.c=this.PLANE1+String.fromCharCode(k-119808+56320)}}if(l[2]||!this.msieAccentBug||j.length){return j+i.c}e.createShift(g,l[3]/1000);e.createShift(g,(l[4]-l[3])/1000);this.addText(g,i.c);e.createShift(g,-l[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete j.FONTS;this.loadFont(g)}if(g[p]){if(g[p].length===5){g[p][5]={}}if(e.allowWebFonts&&!g.available){this.loadWebFont(g)}else{return g}}else{this.findBlock(g,p)}}var k=(j.defaultFont||{family:e.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}k[p]=[800,200,500,0,500,{isUnknown:true}];return k},findBlock:function(g,n){if(g.Ranges){for(var l=0,f=g.Ranges.length;l<f;l++){if(n<g.Ranges[l][0]){return}if(n<=g.Ranges[l][1]){var k=g.Ranges[l][2];for(var h=g.Ranges.length-1;h>=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:function(g){var f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1:String.fromCharCode(55349),NBSP:String.fromCharCode(160),rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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h=l.bbox={},n=[];while(j<f){var g=this.data[j];if(!g){continue}if(!k&&g.HTMLcanStretch("Vertical")){n.push(g);g=(g.CoreMO()||g)}this.HTMLcombineBBoxes(g,h);j++}this.HTMLcleanBBox(h);return n},HTMLcombineBBoxes:function(f,g){if(g.w==null){this.HTMLemptyBBox(g)}var i=f.HTMLspanElement();if(!i||!i.bbox){return}var h=i.bbox;if(h.d>g.d){g.d=h.d}if(h.h>g.h){g.h=h.h}if(h.D!=null&&h.D>g.D){g.D=h.D}if(h.H!=null&&h.H>g.H){g.H=h.H}if(i.style.paddingLeft){g.w+=parseFloat(i.style.paddingLeft)*(i.scale||1)}if(g.w+h.lw<g.lw){g.lw=g.w+h.lw}if(g.w+h.rw>g.rw){g.rw=g.w+h.rw}g.w+=h.w;if(i.style.paddingRight){g.w+=parseFloat(i.style.paddingRight)*(i.scale||1)}if(h.width){g.width=h.width}},HTMLemptyBBox:function(f){f.h=f.d=f.H=f.D=f.rw=-e.BIGDIMEN;f.w=0;f.lw=e.BIGDIMEN;return f},HTMLcleanBBox:function(f){if(f.h===this.BIGDIMEN){f.h=f.d=f.H=f.D=f.w=f.rw=f.lw=0}if(f.D<=f.d){delete f.D}if(f.H<=f.h){delete f.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(f){if(this.isEmbellished()){return this.Core().HTMLcanStretch(f)}return false},HTMLstretchH:function(g,f){return this.HTMLspanElement()},HTMLstretchV:function(g,f,i){return this.HTMLspanElement()},HTMLnotEmpty:function(f){while(f){if((f.type!=="mrow"&&f.type!=="texatom")||f.data.length>1){return true}f=f.data[0]}return false},HTMLmeasureChild:function(g,f){if(this.data[g]!=null){e.Measured(this.data[g].toHTML(f),f)}else{f.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(f){if(this.spanID){var g=this.HTMLspanElement();if(g){while(g.firstChild){g.removeChild(g.firstChild)}g.bbox={w:0,h:0,d:0,lw:0,rw:0};g.scale=1;g.isMultChar=null;g.style.cssText="";return g}}if(this.href){f=e.addElement(f,"a",{href:this.href})}f=e.addElement(f,"span",{className:this.type});if(e.imgHeightBug){f.style.display="inline-block"}if(this["class"]!=null){f.className+=" "+this["class"]}if(this.style){f.style.cssText=this.style;if(f.style.fontSize){this.mathsize=f.style.fontSize;f.style.fontSize=""}}this.spanID=e.GetID();f.id=(this.id||"MathJax-Span-"+this.spanID)+e.idPostfix;f.bbox={w:0,h:0,d:0,lw:0,lr:0};if(this.href){f.parentNode.bbox=f.bbox}return f},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+e.idPostfix)},HTMLhandleVariant:function(g,f,h){e.handleVariant(g,f,h)},HTMLhandleSize:function(f){if(!f.scale){f.scale=this.HTMLgetScale();if(f.scale!==1){f.style.fontSize=e.Percent(f.scale)}}return f},HTMLhandleColor:function(k){var 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at=ac;for(aE=0;aE<=v;aE++){if(!K[aE].bbox.width){b.setStackWidth(K[aE],l[aE])}if(ap[aE]!=="auto"&&ap[aE]!=="fit"){K[aE].bbox.width=l[aE];K[aE].bbox.isFixed=true}b.placeBox(K[aE].parentNode,at,0);at+=l[aE]+al[aE];if(N[aE]!=="none"&&aE<v&&aE!==aH){u=b.createRule(ag,aI,0,1.25/b.em);b.addBox(ag,u);u.bbox={h:aI,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(u,at-al[aE]/2,ax,true);u.style.borderStyle=N[aE]}}}aA=ag.bbox.w+ac;var d;if(aJ.frame!=="none"){d=b.createFrame(ag,aI,0,aA,1.25/b.em,aJ.frame);b.addBox(ag,d);b.placeBox(d,0,ax,true);if(r){d.style.width="100%"}}ar=h;for(aF=0,aC=O.length-1;aF<aC;aF++){n=Math.max(aL,I[aF]+w[aF+1]+S[aF]);if(k[aF]!=="none"){u=b.createRule(ag,1.25/b.em,0,aA);b.addBox(ag,u);u.bbox={h:1.25/b.em,d:0,w:aA,rw:aA,lw:0};b.placeBox(u,0,ar-I[aF]-(n-I[aF]-w[aF+1])/2,true);if(k[aF]==="dashed"||r){u.style.borderTop=u.style.height+" "+k[aF];u.style.height=0;u.style.width=u.style.borderLeftWidth;u.style.borderLeft="";if(r){u.style.width="100%"}}}ar-=n}if(r){X.bbox.width=aJ.width;ag.style.width="100%"}if(K[aH]){var Q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(Q.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){Q.indentalign=Q.indentalignfirst}if(Q.indentalign===a.INDENTALIGN.AUTO){Q.indentalign=this.displayAlign}if(Q.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){Q.indentshift=Q.indentshiftfirst}if(Q.indentshift==="auto"){Q.indentshift=this.displayIndent}var E=b.createStack(X,false,"100%");b.addBox(E,ag);b.alignBox(ag,Q.indentalign,0);if(Q.indentshift&&Q.indentalign!==a.INDENTALIGN.CENTER){ag.style[{left:"Left",right:"Right"}[Q.indentalign]]=b.Em(b.length2em(Q.indentshift))}K[aH].parentNode.parentNode.removeChild(K[aH].parentNode);b.addBox(E,K[aH]);b.alignBox(K[aH],ah[aH],0);if(b.msieRelativeWidthBug){ag.style.top=K[aH].style.top=""}if(r){ag.style.width=aJ.width;X.bbox.width="100%"}K[aH].style.marginRight=K[aH].style.marginLeft=b.Em(b.length2em(aJ.minlabelspacing))}if(!r){this.HTMLhandleSpace(X)}var aj=this.HTMLhandleColor(X);if(aj&&r){if(!d){d=b.createFrame(ag,aI,0,aA,0,"none");b.addBox(ag,d);b.placeBox(d,0,ax,true);d.style.width="100%"}d.style.backgroundColor=aj.style.backgroundColor;d.parentNode.insertBefore(d,d.parentNode.firstChild);aj.parentNode.removeChild(aj)}return X},HTMLhandleSpace:function(d){d.style.paddingLeft=d.style.paddingRight=".1667em"}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=b.Measured(this.data[0].toHTML(e),e);if(g!=null){b.Remeasured(this.data[0].HTMLstretchV(e,d,g),e)}else{if(d!=null){b.Remeasured(this.data[0].HTMLstretchH(e,d),e)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 
diff --git a/public/MathJax/config/TeX-AMS-MML_HTMLorMML.js b/public/MathJax/config/TeX-AMS-MML_HTMLorMML.js
index 9bba99cd..0767a422 100644
--- a/public/MathJax/config/TeX-AMS-MML_HTMLorMML.js
+++ b/public/MathJax/config/TeX-AMS-MML_HTMLorMML.js
@@ -36,38 +36,38 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
 
-(function(c){var h="1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
 
-MathJax.Extension.tex2jax={version:"1.1",config:{element:null,inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=this.config.element||document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; 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w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var 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+(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
 
-MathJax.Extension["TeX/noUndefined"]={version:"1.0.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 
-(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for "+k)}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:c,name:"\\over",checkItem:function(m,k){if(m.type==="over"){d.Error("Ambiguous use of "+m.name)}if(m.isClose){var l=i.mfrac(this.num,this.mmlData(f));if(this.thickness!=null){l.linethickness=this.thickness}if(this.open||this.close){l.texClass=i.TEXCLASS.INNER;l.texWithDelims=c;l=i.mfenced(l).With({open:this.open,close:this.close})}return[b.mml(l),m]}return this.SUPER(arguments).checkItem.call(this,m)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:c,delim:"(",stopError:"Extra \\left or missing \\right",checkItem:function(l){if(l.type==="right"){var k=i.mfenced(this.data.length===1?this.data[0]:i.mrow.apply(i,this.data));return b.mml(k.With({open:this.delim,close:l.delim}))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:c,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:c,checkItem:function(k){if(k.type==="end"){if(k.name!==this.name){d.Error("\\begin{"+this.name+"} ended with \\end{"+k.name+"}")}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(k.type==="stop"){d.Error("Missing \\end{"+this.name+"}")}return this.SUPER(arguments).checkItem.call(this,k)}});b.end=b.Subclass({type:"end",isClose:c});b.style=b.Subclass({type:"style",checkItem:function(l){if(!l.isClose){return this.SUPER(arguments).checkItem.call(this,l)}var k=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(k),l]}});b.position=b.Subclass({type:"position",checkItem:function(l){if(l.isClose){d.Error("Missing box for "+this.name)}if(l.isNotStack){var k=l.mmlData();switch(this.move){case"vertical":k=i.mpadded(k).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(k)];case"horizontal":return[b.mml(this.left),l,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,l)}});b.array=b.Subclass({type:"array",isOpen:c,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(l){if(l.isClose&&l.type!=="over"){if(l.isEntry){this.EndEntry();this.clearEnv();return f}if(l.isCR){this.EndEntry();this.EndRow();this.clearEnv();return f}this.EndTable();this.clearEnv();var k=i.mtable.apply(i,this.table).With(this.arraydef);if(this.open||this.close){k=i.mfenced(k).With({open:this.open,close:this.close})}k=b.mml(k);if(this.requireClose){if(l.type==="close"){return k}d.Error("Missing close brace")}return[k,l]}return 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a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});if(MathJax.Hub.Browser.isMSIE){MathJax.InputJax.TeX.Definitions.mathchar0mi.digamma=["03DC",{variantForm:true}];MathJax.InputJax.TeX.Definitions.mathchar0mi.varkappa=["03F0",{variantForm:true}]}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashr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Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax.");return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClossing:true})}});b.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML.js");
diff --git a/public/MathJax/config/TeX-AMS_HTML-full.js b/public/MathJax/config/TeX-AMS_HTML-full.js
index 25258ede..6bf73dc1 100644
--- a/public/MathJax/config/TeX-AMS_HTML-full.js
+++ b/public/MathJax/config/TeX-AMS_HTML-full.js
@@ -31,31 +31,31 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.Extension.tex2jax={version:"1.1",config:{element:null,inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=this.config.element||document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(b,c){var d=this.match[b[0]];if(d!=null){this.search={end:d.end,mode:d.mode,open:c,olen:b[0].length,opos:this.pattern.lastIndex-b[0].length};this.switchPattern(d.pattern)}else{if(b[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+b[1]+"}",mode:"; mode=display",open:c,olen:0,opos:this.pattern.lastIndex-b[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var a=b[0].replace(/\\(.)/g,"$1");c.nodeValue=c.nodeValue.substr(0,b.index)+a+c.nodeValue.substr(b.index+b[0].length);this.pattern.lastIndex-=b[0].length-a.length}}return c},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{c.nodeValue+=" "}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var 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+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.MathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},MathMLattributes:function(){var j=[],g=this.defaults;var c=this.copyAttributes,l=this.skipAttributes;if(this.type==="math"){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.quoteHTML(k)+'"')}this[d]=k}}}for(var h=0,f=c.length;h<f;h++){if(this[c[h]]!=null){j.push(c[h]+'="'+this.quoteHTML(this[c[h]])+'"')}}if(j.length){return" "+j.join(" ")}else{return""}},copyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],skipAttributes:{texClass:1,useHeight:1,texprimestyle:1},quoteHTML:function(e){e=String(e).split("");for(var f=0,d=e.length;f<d;f++){var h=e[f].charCodeAt(0);if(h<32||h>126){e[f]="&#x"+h.toString(16).toUpperCase()+";"}else{var g={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[e[f]];if(g){e[f]=g}}}return e.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(c){return c+"<mrow>\n"+this.data[0].toMathML(c+"  ")+"\n"+c+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.quoteHTML(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 
-(function(){var c="1.0.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
 
-MathJax.Extension["TeX/noUndefined"]={version:"1.0.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 
-(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for "+k)}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:c,name:"\\over",checkItem:function(m,k){if(m.type==="over"){d.Error("Ambiguous use of "+m.name)}if(m.isClose){var l=i.mfrac(this.num,this.mmlData(f));if(this.thickness!=null){l.linethickness=this.thickness}if(this.open||this.close){l.texClass=i.TEXCLASS.INNER;l.texWithDelims=c;l=i.mfenced(l).With({open:this.open,close:this.close})}return[b.mml(l),m]}return this.SUPER(arguments).checkItem.call(this,m)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:c,delim:"(",stopError:"Extra \\left or missing \\right",checkItem:function(l){if(l.type==="right"){var k=i.mfenced(this.data.length===1?this.data[0]:i.mrow.apply(i,this.data));return b.mml(k.With({open:this.delim,close:l.delim}))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:c,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:c,checkItem:function(k){if(k.type==="end"){if(k.name!==this.name){d.Error("\\begin{"+this.name+"} ended with \\end{"+k.name+"}")}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(k.type==="stop"){d.Error("Missing \\end{"+this.name+"}")}return this.SUPER(arguments).checkItem.call(this,k)}});b.end=b.Subclass({type:"end",isClose:c});b.style=b.Subclass({type:"style",checkItem:function(l){if(!l.isClose){return this.SUPER(arguments).checkItem.call(this,l)}var k=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(k),l]}});b.position=b.Subclass({type:"position",checkItem:function(l){if(l.isClose){d.Error("Missing box for "+this.name)}if(l.isNotStack){var k=l.mmlData();switch(this.move){case"vertical":k=i.mpadded(k).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(k)];case"horizontal":return[b.mml(this.left),l,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,l)}});b.array=b.Subclass({type:"array",isOpen:c,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(l){if(l.isClose&&l.type!=="over"){if(l.isEntry){this.EndEntry();this.clearEnv();return f}if(l.isCR){this.EndEntry();this.EndRow();this.clearEnv();return f}this.EndTable();this.clearEnv();var k=i.mtable.apply(i,this.table).With(this.arraydef);if(this.open||this.close){k=i.mfenced(k).With({open:this.open,close:this.close})}k=b.mml(k);if(this.requireClose){if(l.type==="close"){return k}d.Error("Missing close brace")}return[k,l]}return 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a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});if(MathJax.Hub.Browser.isMSIE){MathJax.InputJax.TeX.Definitions.mathchar0mi.digamma=["03DC",{variantForm:true}];MathJax.InputJax.TeX.Definitions.mathchar0mi.varkappa=["03F0",{variantForm:true}]}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 
-(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(j,g){if(g&&this.testCollection(g)){return g}for(var h=0,f=j.length;h<f;h++){if(j[h]===g){continue}if(this.testCollection(j[h])){return j[h]}}return null},testCollection:function(f){return this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DEFAULTFAMILY:"serif",DEFAULTWEIGHT:"normal",DEFAULTSTYLE:"normal",DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;var i=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=i+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&i!==100){this.em=a.mbase.prototype.em=f*i/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var 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p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete 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i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var 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o=(h.bbox.rw-h.bbox.lw)+(u.bbox.rw-u.bbox.lw)-0.05,m=h.bbox.rw-h.bbox.lw-0.025;if(y.mid){v=this.createBox(j);this.createChar(v,y.mid,A,q);o+=v.bbox.w}if(g>o){var z=f.bbox.rw-f.bbox.lw,i=z-0.05,r,l,s=(y.mid?2:1);l=r=Math.ceil((g-o)/(s*i));i=(g-o)/(s*r);var p=(r/(r+1))*(z-i);i=z-p;m-=f.bbox.lw+p;while(s-->0){while(r-->0){this.placeBox(this.addBox(j,f.cloneNode(true)),m,0,true);m+=i}if(y.mid&&s){this.placeBox(v,m,0,true);m+=v.bbox.w-p;r=l}}}else{m-=(o-g)/2;if(y.mid){this.placeBox(v,m,0,true);m+=v.bbox.w}m-=(o-g)/2}this.placeBox(u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:Math.max(h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:Math.max(h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t.isMultiChar=true;this.setStackWidth(j,t.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var 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u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||this.FONTDATA.DEFAULTSTYLE,i=f.weight||this.FONTDATA.DEFAULTWEIGHT;if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,k,j,i){var h=k[5];if(h.img){return this.handleImg(g,f,k,j,i)}if(h.c==null){if(j<=65535){h.c=String.fromCharCode(j)}else{h.c=this.PLANE1+String.fromCharCode(j-119808+56320)}}if(k[2]||!this.msieAccentBug||i.length){return i+h.c}e.createShift(g,k[3]/1000);e.createShift(g,(k[4]-k[3])/1000);this.addText(g,h.c);e.createShift(g,-k[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete j.FONTS;this.loadFont(g)}if(g[p]){if(g[p].length===5){g[p][5]={}}if(e.allowWebFonts&&!g.available){this.loadWebFont(g)}else{return g}}else{this.findBlock(g,p)}}var k=(j.defaultFont||{family:e.FONTDATA.DEFAULTFAMILY+",serif"});k[p]=[800,200,500,0,500,{isUnknown:true}];return k},findBlock:function(g,n){if(g.Ranges){for(var l=0,f=g.Ranges.length;l<f;l++){if(n<g.Ranges[l][0]){return}if(n<=g.Ranges[l][1]){var k=g.Ranges[l][2];for(var h=g.Ranges.length-1;h>=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:function(g){var f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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g=k.bbox={},l=[];this.HTMLcheckStretchy(this.data.open,g,l,j);this.HTMLcheckStretchy(this.data[0],g,l,j);for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){this.HTMLcheckStretchy(this.data["sep"+h],g,l,j);this.HTMLcheckStretchy(this.data[h],g,l,j)}}this.HTMLcheckStretchy(this.data.close,g,l,j);this.HTMLcleanBBox(g);return l},HTMLcheckStretchy:function(f,g,i,h){if(f){if(!h&&f.HTMLcanStretch("Vertical")){i.push(f);f=(f.CoreMO()||f)}this.HTMLcombineBBoxes(f,g)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(f){if(this.data[0]!=null){f=this.data[0].toHTML(f);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(f)}return f},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(g,f){return(this.data[0]!=null?this.data[0].HTMLstretchH(g,f):g)},HTMLstretchV:function(g,f,i){return(this.data[0]!=null?this.data[0].HTMLstretchV(g,f,i):g)}});a.munderover.Augment({toHTML:function(G,B,z){var f=this.getValues("displaystyle","accent","accentunder","align");if(!f.displaystyle&&this.data[this.base]!=null&&this.data[this.base].Get("movablelimits")){return a.msubsup.prototype.toHTML.call(this,G)}G=this.HTMLcreateSpan(G);var K=this.HTMLgetScale();var j=e.createStack(G);var l=[],I=[],q,H,C,g=-e.BIGDIMEN,F=g;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H]=e.createBox(j);e.Measured(this.data[H].toHTML(q),q);if(H==this.base){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(q,B,z),q)}else{if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchH(q,B),q)}}I[H]=(z==null&&B!=null?false:this.data[H].HTMLcanStretch("Horizontal"))}else{I[H]=this.data[H].HTMLcanStretch("Horizontal")}if(q.bbox.w>F){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(g==-e.BIGDIMEN){g=F}if(z==null&&B!=null){g=F=B}var w=e.TeX.rule_thickness,A=e.FONTDATA.TeX_factor;var h=l[this.base]||{bbox:this.HTMLzeroBBox()},J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H];if(I[H]){q.bbox=this.data[H].HTMLstretchH(q,g).bbox}o=e.TeX.big_op_spacing5*K;var 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G=this.HTMLgetScale();var j=e.createStack(C),g;var i=e.createBox(j);this.HTMLmeasureChild(this.base,i);if(this.data[this.base]){if(w!=null){e.Remeasured(this.data[this.base].HTMLstretchV(i,A,w),i)}else{if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchH(i,A),i)}}}e.placeBox(i,0,0);var h=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var E=e.TeX.x_height*G,o=e.TeX.scriptspace*G*0.75;var f,k;if(this.HTMLnotEmpty(this.data[this.sup])){f=e.createBox(j);e.Measured(this.data[this.sup].toHTML(f),f);f.bbox.w+=o;f.bbox.rw=Math.max(f.bbox.w,f.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){k=e.createBox(j);e.Measured(this.data[this.sub].toHTML(k),k);k.bbox.w+=o;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var 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o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===a.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}g.style.textAlign=o.indentalign;if(o.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift=this.displayIndent}if(o.indentshift&&o.indentalign!==a.INDENTALIGN.CENTER){n.style[{left:"marginLeft",right:"marginRight"}[o.indentalign]]=e.Em(e.length2em(o.indentshift))}}return n}});a.TeXAtom.Augment({toHTML:function(g){g=this.HTMLcreateSpan(g);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var f=e.createStack(g);var h=e.createBox(f);e.Measured(this.data[0].toHTML(h),h);e.placeBox(h,0,e.TeX.axis_height-(h.bbox.h+h.bbox.d)/2+h.bbox.d)}else{g.bbox=this.data[0].toHTML(g).bbox}}this.HTMLhandleSpace(g);this.HTMLhandleColor(g);return g}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(f){var i=f.versionAtLeast("7.0");var h=f.versionAtLeast("8.0")&&document.documentMode>7;var g=(document.compatMode==="BackCompat");e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax 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g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var i=d.config["HTML-CSS"];if(i){i.availableFonts=[];i.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(f){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(f.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(f){f.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(f.versionAtLeast("10.0")&&!f.isMini?"otf":false),adjustAvailableFonts:function(j){for(var h=0,g=j.length;h<g;h++){if(j[h]==="STIX"){j.splice(h,1);g--;h--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=j[0]}}})},Konqueror:function(f){e.Augment({konquerorVerticalAlignBug:true,noContextMenuBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
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this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax img":{display:"inline ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=f*this.scale/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o.style.width=this.Em(q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v.width!=null&&!v.isFixed){if(q.width==null){o.style.width=q.width="100%"}n.style.width=v.width}}},alignBox:function(h,n,m){this.placeBox(h,0,m);var j=h.bbox;if(j.isMultiline){return}var g=j.width!=null&&!j.isFixed;var i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var o=0,k=g.HW.length;o<k;o++){if(g.HW[o][0]*l>=h-0.01||(o==k-1&&!g.stretch)){if(g.HW[o][2]){l*=g.HW[o][2]}if(g.HW[o][3]){f=g.HW[o][3]}var n=this.addElement(q,"span");this.createChar(n,[f,g.HW[o][1]],l,j);q.bbox=n.bbox;q.offset=0.65*q.bbox.w;q.scale=l;return}}if(g.stretch){this["extendDelimiter"+g.dir](q,p,g.stretch,l,j)}},extendDelimiterV:function(v,p,A,B,s){var i=this.createStack(v,true);var r=this.createBox(i),q=this.createBox(i);this.createChar(r,(A.top||A.ext),B,s);this.createChar(q,(A.bot||A.ext),B,s);var g={bbox:{w:0,lw:0,rw:0}},z=g,j;var w=r.bbox.h+r.bbox.d+q.bbox.h+q.bbox.d;var m=-r.bbox.h;this.placeBox(r,0,m,true);m-=r.bbox.d;if(A.mid){z=this.createBox(i);this.createChar(z,A.mid,B,s);w+=z.bbox.h+z.bbox.d}if(p>w){g=this.Element("span");this.createChar(g,A.ext,B,s);var x=g.bbox.h+g.bbox.d,f=x-0.05,t,l,u=(A.mid?2:1);l=t=Math.ceil((p-w)/(u*f));if(!A.fullExtenders){f=(p-w)/(u*t)}var o=(t/(t+1))*(x-f);f=x-o;m+=o+f-g.bbox.h;while(u-->0){while(t-->0){if(!this.msieCloneNodeBug){j=g.cloneNode(true)}else{j=this.Element("span");this.createChar(j,A.ext,B,s)}m-=f;this.placeBox(this.addBox(i,j),0,m,true)}m+=o-g.bbox.d;if(A.mid&&u){this.placeBox(z,0,m-z.bbox.h,true);t=l;m+=-(z.bbox.h+z.bbox.d)+o+f-g.bbox.h}}}else{m+=(w-p)/2;if(A.mid){this.placeBox(z,0,m-z.bbox.h,true);m+=-(z.bbox.h+z.bbox.d)}m+=(w-p)/2}this.placeBox(q,0,m-q.bbox.h,true);m-=q.bbox.h+q.bbox.d;v.bbox={w:Math.max(r.bbox.w,g.bbox.w,q.bbox.w,z.bbox.w),lw:Math.min(r.bbox.lw,g.bbox.lw,q.bbox.lw,z.bbox.lw),rw:Math.max(r.bbox.rw,g.bbox.rw,q.bbox.rw,z.bbox.rw),h:0,d:-m};v.scale=B;v.offset=0.55*v.bbox.w;v.isMultiChar=true;this.setStackWidth(i,v.bbox.w)},extendDelimiterH:function(u,h,z,B,r){var l=this.createStack(u,true);var i=this.createBox(l),v=this.createBox(l);this.createChar(i,(z.left||z.rep),B,r);this.createChar(v,(z.right||z.rep),B,r);var f=this.Element("span");this.createChar(f,z.rep,B,r);var y={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},g;this.placeBox(i,-i.bbox.lw,0,true);var p=(i.bbox.rw-i.bbox.lw)+(v.bbox.rw-v.bbox.lw)-0.05,o=i.bbox.rw-i.bbox.lw-0.025,q;if(z.mid){y=this.createBox(l);this.createChar(y,z.mid,B,r);p+=y.bbox.w}if(h>p){var A=f.bbox.rw-f.bbox.lw,j=A-0.05,s,m,t=(z.mid?2:1);m=s=Math.ceil((h-p)/(t*j));j=(h-p)/(t*s);q=(s/(s+1))*(A-j);j=A-q;o-=f.bbox.lw+q;while(t-->0){while(s-->0){if(!this.msieCloneNodeBug){g=f.cloneNode(true)}else{g=this.Element("span");this.createChar(g,z.rep,B,r)}this.placeBox(this.addBox(l,g),o,0,true);o+=j}if(z.mid&&t){this.placeBox(y,o,0,true);o+=y.bbox.w-q;s=m}}}else{q=Math.min(p-h,i.bbox.w/2);o-=q/2;if(z.mid){this.placeBox(y,o,0,true);o+=y.bbox.w}o-=q/2}this.placeBox(v,o,0,true);u.bbox={w:o+v.bbox.rw,lw:0,rw:o+v.bbox.rw,H:Math.max(i.bbox.h,f.bbox.h,v.bbox.h,y.bbox.h),D:Math.max(i.bbox.d,f.bbox.d,v.bbox.d,y.bbox.d),h:f.bbox.h,d:f.bbox.d};u.scale=B;u.isMultiChar=true;this.setStackWidth(l,u.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l<g;l++){p+=String.fromCharCode(k[0][l])}}else{p=String.fromCharCode(k[0])}if(h!==1){n=this.addElement(o,"span",{style:{fontSize:this.Percent(h)},scale:h});this.handleVariant(n,j,p);o.bbox=n.bbox}else{this.handleVariant(o,j,p)}if(k[2]){o.style.marginLeft=this.Em(k[2])}if(this.AccentBug&&o.bbox.w===0){n.firstChild.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o.offsetWidth/e.em)}},positionDelimiter:function(g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g.firstChild.style.display===""&&g.style.top!==""){g=g.firstChild;f-=parseFloat(g.style.top)}g.style.position="relative";g.style.top=this.Em(-f)}else{g.style.verticalAlign=this.Em(f);if(e.ffVerticalAlignBug){e.createRule(g.parentNode,g.bbox.h,0,0)}}}},handleVariant:function(v,j,o){var u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||"normal",i=f.weight||"normal";if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,l,k,j){var i=l[5];if(i.img){return this.handleImg(g,f,l,k,j)}if(i.isUnknown&&this.FONTDATA.DELIMITERS[k]){if(j.length){this.addText(g,j)}var h=g.scale;e.createDelimiter(g,k,0,1,f);g.scale=h;l[0]=g.bbox.h*1000;l[1]=g.bbox.d*1000;l[2]=g.bbox.w*1000;l[3]=g.bbox.lw*1000;l[4]=g.bbox.rw*1000;return""}if(i.c==null){if(k<=65535){i.c=String.fromCharCode(k)}else{i.c=this.PLANE1+String.fromCharCode(k-119808+56320)}}if(l[2]||!this.msieAccentBug||j.length){return j+i.c}e.createShift(g,l[3]/1000);e.createShift(g,(l[4]-l[3])/1000);this.addText(g,i.c);e.createShift(g,-l[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete j.FONTS;this.loadFont(g)}if(g[p]){if(g[p].length===5){g[p][5]={}}if(e.allowWebFonts&&!g.available){this.loadWebFont(g)}else{return g}}else{this.findBlock(g,p)}}var k=(j.defaultFont||{family:e.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}k[p]=[800,200,500,0,500,{isUnknown:true}];return k},findBlock:function(g,n){if(g.Ranges){for(var l=0,f=g.Ranges.length;l<f;l++){if(n<g.Ranges[l][0]){return}if(n<=g.Ranges[l][1]){var k=g.Ranges[l][2];for(var h=g.Ranges.length-1;h>=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:function(g){var f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1:String.fromCharCode(55349),NBSP:String.fromCharCode(160),rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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h=l.bbox={},n=[];while(j<f){var g=this.data[j];if(!g){continue}if(!k&&g.HTMLcanStretch("Vertical")){n.push(g);g=(g.CoreMO()||g)}this.HTMLcombineBBoxes(g,h);j++}this.HTMLcleanBBox(h);return n},HTMLcombineBBoxes:function(f,g){if(g.w==null){this.HTMLemptyBBox(g)}var i=f.HTMLspanElement();if(!i||!i.bbox){return}var h=i.bbox;if(h.d>g.d){g.d=h.d}if(h.h>g.h){g.h=h.h}if(h.D!=null&&h.D>g.D){g.D=h.D}if(h.H!=null&&h.H>g.H){g.H=h.H}if(i.style.paddingLeft){g.w+=parseFloat(i.style.paddingLeft)*(i.scale||1)}if(g.w+h.lw<g.lw){g.lw=g.w+h.lw}if(g.w+h.rw>g.rw){g.rw=g.w+h.rw}g.w+=h.w;if(i.style.paddingRight){g.w+=parseFloat(i.style.paddingRight)*(i.scale||1)}if(h.width){g.width=h.width}},HTMLemptyBBox:function(f){f.h=f.d=f.H=f.D=f.rw=-e.BIGDIMEN;f.w=0;f.lw=e.BIGDIMEN;return f},HTMLcleanBBox:function(f){if(f.h===this.BIGDIMEN){f.h=f.d=f.H=f.D=f.w=f.rw=f.lw=0}if(f.D<=f.d){delete f.D}if(f.H<=f.h){delete f.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(f){if(this.isEmbellished()){return this.Core().HTMLcanStretch(f)}return false},HTMLstretchH:function(g,f){return this.HTMLspanElement()},HTMLstretchV:function(g,f,i){return this.HTMLspanElement()},HTMLnotEmpty:function(f){while(f){if((f.type!=="mrow"&&f.type!=="texatom")||f.data.length>1){return true}f=f.data[0]}return false},HTMLmeasureChild:function(g,f){if(this.data[g]!=null){e.Measured(this.data[g].toHTML(f),f)}else{f.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(f){if(this.spanID){var g=this.HTMLspanElement();if(g){while(g.firstChild){g.removeChild(g.firstChild)}g.bbox={w:0,h:0,d:0,lw:0,rw:0};g.scale=1;g.isMultChar=null;g.style.cssText="";return g}}if(this.href){f=e.addElement(f,"a",{href:this.href})}f=e.addElement(f,"span",{className:this.type});if(e.imgHeightBug){f.style.display="inline-block"}if(this["class"]!=null){f.className+=" 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g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var 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q=b.createBox(ag);q.style.left=q.style.top=0;q.style.right=b.Em(aq+2*ac);q.style.display="inline-block";q.style.height="0px";if(b.msieRelativeWidthBug){q=b.createBox(q);q.style.position="relative";q.style.height="1em";q.style.width="100%";q.bbox=ag.bbox}var an=0,av=ac,aK,g;if(aG){aK=100*(1-aw)/aG,g=U/aG}else{aK=100*(1-aw)/(v+1);g=U/(v+1)}for(aE=0;aE<=v;aE++){b.placeBox(K[aE].parentNode,0,0);K[aE].style.position="relative";K[aE].style.left=b.Em(av);K[aE].style.width="100%";K[aE].parentNode.parentNode.removeChild(K[aE].parentNode);var e=b.createBox(q);b.addBox(e,K[aE]);K[aE]=e;var ae=e.style;ae.display="inline-block";ae.left=an+"%";if(ap[aE].match(/%$/)){var G=parseFloat(ap[aE])*ai;if(aG===0){ae.width=(aK+G)+"%";an+=aK+G;e=b.createBox(e);b.addBox(e,K[aE].firstChild);e.style.left=0;e.style.right=b.Em(g);av-=g}else{ae.width=G+"%";an+=G}}else{if(ap[aE]==="fit"||aG===0){ae.width=aK+"%";e=b.createBox(e);b.addBox(e,K[aE].firstChild);e.style.left=0;e.style.right=b.Em(g-l[aE]);av+=l[aE]-g;an+=aK}else{ae.width=b.Em(l[aE]);av+=l[aE]}}if(b.msieRelativeWidthBug){b.addText(e.firstChild,b.NBSP);e.firstChild.style.position="relative"}av+=al[aE];if(N[aE]!=="none"&&aE<v&&aE!==aH){u=b.createBox(q);u.style.left=an+"%";u=b.createRule(u,aI,0,1.25/b.em);u.style.position="absolute";u.bbox={h:aI,d:0,w:0,rw:1.25/b.em,lw:0};u.parentNode.bbox=ag.bbox;b.placeBox(u,av-al[aE]/2,ax,true);u.style.borderStyle=N[aE]}}}else{var at=ac;for(aE=0;aE<=v;aE++){if(!K[aE].bbox.width){b.setStackWidth(K[aE],l[aE])}if(ap[aE]!=="auto"&&ap[aE]!=="fit"){K[aE].bbox.width=l[aE];K[aE].bbox.isFixed=true}b.placeBox(K[aE].parentNode,at,0);at+=l[aE]+al[aE];if(N[aE]!=="none"&&aE<v&&aE!==aH){u=b.createRule(ag,aI,0,1.25/b.em);b.addBox(ag,u);u.bbox={h:aI,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(u,at-al[aE]/2,ax,true);u.style.borderStyle=N[aE]}}}aA=ag.bbox.w+ac;var d;if(aJ.frame!=="none"){d=b.createFrame(ag,aI,0,aA,1.25/b.em,aJ.frame);b.addBox(ag,d);b.placeBox(d,0,ax,true);if(r){d.style.width="100%"}}ar=h;for(aF=0,aC=O.length-1;aF<aC;aF++){n=Math.max(aL,I[aF]+w[aF+1]+S[aF]);if(k[aF]!=="none"){u=b.createRule(ag,1.25/b.em,0,aA);b.addBox(ag,u);u.bbox={h:1.25/b.em,d:0,w:aA,rw:aA,lw:0};b.placeBox(u,0,ar-I[aF]-(n-I[aF]-w[aF+1])/2,true);if(k[aF]==="dashed"||r){u.style.borderTop=u.style.height+" "+k[aF];u.style.height=0;u.style.width=u.style.borderLeftWidth;u.style.borderLeft="";if(r){u.style.width="100%"}}}ar-=n}if(r){X.bbox.width=aJ.width;ag.style.width="100%"}if(K[aH]){var Q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(Q.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){Q.indentalign=Q.indentalignfirst}if(Q.indentalign===a.INDENTALIGN.AUTO){Q.indentalign=this.displayAlign}if(Q.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){Q.indentshift=Q.indentshiftfirst}if(Q.indentshift==="auto"){Q.indentshift=this.displayIndent}var E=b.createStack(X,false,"100%");b.addBox(E,ag);b.alignBox(ag,Q.indentalign,0);if(Q.indentshift&&Q.indentalign!==a.INDENTALIGN.CENTER){ag.style[{left:"Left",right:"Right"}[Q.indentalign]]=b.Em(b.length2em(Q.indentshift))}K[aH].parentNode.parentNode.removeChild(K[aH].parentNode);b.addBox(E,K[aH]);b.alignBox(K[aH],ah[aH],0);if(b.msieRelativeWidthBug){ag.style.top=K[aH].style.top=""}if(r){ag.style.width=aJ.width;X.bbox.width="100%"}K[aH].style.marginRight=K[aH].style.marginLeft=b.Em(b.length2em(aJ.minlabelspacing))}if(!r){this.HTMLhandleSpace(X)}var aj=this.HTMLhandleColor(X);if(aj&&r){if(!d){d=b.createFrame(ag,aI,0,aA,0,"none");b.addBox(ag,d);b.placeBox(d,0,ax,true);d.style.width="100%"}d.style.backgroundColor=aj.style.backgroundColor;d.parentNode.insertBefore(d,d.parentNode.firstChild);aj.parentNode.removeChild(aj)}return X},HTMLhandleSpace:function(d){d.style.paddingLeft=d.style.paddingRight=".1667em"}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=b.Measured(this.data[0].toHTML(e),e);if(g!=null){b.Remeasured(this.data[0].HTMLstretchV(e,d,g),e)}else{if(d!=null){b.Remeasured(this.data[0].HTMLstretchH(e,d),e)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 
diff --git a/public/MathJax/config/TeX-AMS_HTML.js b/public/MathJax/config/TeX-AMS_HTML.js
index d5fda1db..ee91b60f 100644
--- a/public/MathJax/config/TeX-AMS_HTML.js
+++ b/public/MathJax/config/TeX-AMS_HTML.js
@@ -29,28 +29,28 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
-MathJax.Extension.tex2jax={version:"1.1",config:{element:null,inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=this.config.element||document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(b,c){var d=this.match[b[0]];if(d!=null){this.search={end:d.end,mode:d.mode,open:c,olen:b[0].length,opos:this.pattern.lastIndex-b[0].length};this.switchPattern(d.pattern)}else{if(b[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+b[1]+"}",mode:"; mode=display",open:c,olen:0,opos:this.pattern.lastIndex-b[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var a=b[0].replace(/\\(.)/g,"$1");c.nodeValue=c.nodeValue.substr(0,b.index)+a+c.nodeValue.substr(b.index+b[0].length);this.pattern.lastIndex-=b[0].length-a.length}}return c},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{c.nodeValue+=" "}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
 
 (function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
 
-(function(b,c,f){var k="1.1";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(i?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', 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+(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
 
-MathJax.Extension["TeX/noUndefined"]={version:"1.0.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 
-(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for "+k)}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:c,name:"\\over",checkItem:function(m,k){if(m.type==="over"){d.Error("Ambiguous use of "+m.name)}if(m.isClose){var l=i.mfrac(this.num,this.mmlData(f));if(this.thickness!=null){l.linethickness=this.thickness}if(this.open||this.close){l.texClass=i.TEXCLASS.INNER;l.texWithDelims=c;l=i.mfenced(l).With({open:this.open,close:this.close})}return[b.mml(l),m]}return this.SUPER(arguments).checkItem.call(this,m)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:c,delim:"(",stopError:"Extra \\left or missing \\right",checkItem:function(l){if(l.type==="right"){var k=i.mfenced(this.data.length===1?this.data[0]:i.mrow.apply(i,this.data));return b.mml(k.With({open:this.delim,close:l.delim}))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:c,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:c,checkItem:function(k){if(k.type==="end"){if(k.name!==this.name){d.Error("\\begin{"+this.name+"} ended with \\end{"+k.name+"}")}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(k.type==="stop"){d.Error("Missing \\end{"+this.name+"}")}return this.SUPER(arguments).checkItem.call(this,k)}});b.end=b.Subclass({type:"end",isClose:c});b.style=b.Subclass({type:"style",checkItem:function(l){if(!l.isClose){return this.SUPER(arguments).checkItem.call(this,l)}var k=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(k),l]}});b.position=b.Subclass({type:"position",checkItem:function(l){if(l.isClose){d.Error("Missing box for "+this.name)}if(l.isNotStack){var k=l.mmlData();switch(this.move){case"vertical":k=i.mpadded(k).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(k)];case"horizontal":return[b.mml(this.left),l,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,l)}});b.array=b.Subclass({type:"array",isOpen:c,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(l){if(l.isClose&&l.type!=="over"){if(l.isEntry){this.EndEntry();this.clearEnv();return f}if(l.isCR){this.EndEntry();this.EndRow();this.clearEnv();return f}this.EndTable();this.clearEnv();var k=i.mtable.apply(i,this.table).With(this.arraydef);if(this.open||this.close){k=i.mfenced(k).With({open:this.open,close:this.close})}k=b.mml(k);if(this.requireClose){if(l.type==="close"){return k}d.Error("Missing close brace")}return[k,l]}return 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a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});if(MathJax.Hub.Browser.isMSIE){MathJax.InputJax.TeX.Definitions.mathchar0mi.digamma=["03DC",{variantForm:true}];MathJax.InputJax.TeX.Definitions.mathchar0mi.varkappa=["03F0",{variantForm:true}]}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML.js");
diff --git a/public/MathJax/config/default.js b/public/MathJax/config/default.js
index 1c341b1f..e77e94c2 100644
--- a/public/MathJax/config/default.js
+++ b/public/MathJax/config/default.js
@@ -174,6 +174,16 @@ MathJax.Hub.Config({
   //
   skipStartupTypeset: false,
   
+  //
+  //  A list of element ID's that are the ones to process for mathematics
+  //  when any of the Hub typesetting calls (Typeset, Process, Update, etc)
+  //  are called with no element specified.  This lets you restrict the
+  //  processing to particular containers rather than scanning the entire
+  //  document for mathematics.  If none are supplied, the entire document
+  //  is processed.
+  //
+  elements: [],
+  
   //============================================================================
   //
   //  These parameters control the tex2jax preprocessor (when you have included
@@ -181,11 +191,6 @@ MathJax.Hub.Config({
   //
   tex2jax: {
 
-    //
-    //  The Id of the element to be processed (defaults to full document)
-    //
-    element: null,
-
     //
     //  The delimiters that surround in-line math expressions.  The first in each
     //  pair is the initial delimiter and the second is the terminal delimiter.
@@ -282,11 +287,6 @@ MathJax.Hub.Config({
   //
   mml2jax: {
     
-    //
-    //  The Id of the element to be processed (defaults to full document)
-    //
-    element: null,
-
     //
     //  Controls whether mml2jax inserts MathJax_Preview spans to make a
     //  preview available, and what preview to use, whrn it locates
@@ -313,11 +313,6 @@ MathJax.Hub.Config({
   //
   jsMath2jax: {
     
-    //
-    //  The Id of the element to be processed (defaults to full document)
-    //
-    element: null,
-
     //
     //  Controls whether jsMath2jax inserts MathJax_Preview spans to make a
     //  preview available, and what preview to use, when it locates
@@ -449,6 +444,15 @@ MathJax.Hub.Config({
     //
     imageFont: "TeX",
     
+    //
+    //  This is the font-family CSS value used for characters that are not
+    //  in the selected font (e.g., for web-based fonts, this is where to
+    //  look for characters not included in the MathJax_* fonts).  IE will
+    //  stop looking after the first font that exists on the system (even
+    //  if it doesn't contain the needed character), so order these carefully.
+    //  
+    undefinedFamily: "STIXGeneral,'Arial Unicode MS',serif",
+    
     //
     //  This controls whether the MathJax contextual menu will be available
     //  on the mathematics in the page.  If true, then right-clicking (on
diff --git a/public/MathJax/config/instiki.js b/public/MathJax/config/instiki.js
index bdef9059..f3d3b3f3 100644
--- a/public/MathJax/config/instiki.js
+++ b/public/MathJax/config/instiki.js
@@ -1,6 +1,6 @@
 MathJax.Hub.Config({
   config: ["MMLorHTML.js"],
-  jax: ["input/MathML","output/HTML-CSS","output/NativeMML"],
+  jax: ["input/MathML"],
   extensions: ["mml2jax.js","MathMenu.js","MathZoom.js"],
   MathML: {
     useMathMLspacing: true
@@ -21,4 +21,4 @@ MathJax.Hub.Config({
 });
 
 MathJax.Hub.Startup.onload();
-MathJax.Ajax.loadComplete("[MathJax]/config/MathJax.js");
+MathJax.Ajax.loadComplete("[MathJax]/config/local/local.js");
diff --git a/public/MathJax/extensions/MathMenu.js b/public/MathJax/extensions/MathMenu.js
index 6300b3a5..d2c068ef 100644
--- a/public/MathJax/extensions/MathMenu.js
+++ b/public/MathJax/extensions/MathMenu.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(b,c,f){var k="1.1";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(i?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(g?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(i?"1em":".7em")},".MathJax_MenuLabel":{padding:(i?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(i?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(i?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(i?"Highlight":"#606872"),color:(i?"HighlightText":"white")}}});var d=function(l){if(!l){l=window.event}if(l){if(l.preventDefault){l.preventDefault()}if(l.stopPropagation){l.stopPropagation()}l.cancelBubble=true;l.returnValue=false}return false};var a=MathJax.Menu=MathJax.Object.Subclass({version:k,items:[],posted:false,title:null,margin:5,Init:function(l){this.items=[].slice.call(arguments,0)},With:function(l){if(l){b.Insert(this,l)}return this},Post:function(n,v){if(!n){n=window.event}var t=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this)}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=v.offsetWidth-2;s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},Mouseup:function(l,m){if(a.skipUp){delete a.skipUp}else{this.Remove(l,m)}},False:d},{config:j,div:null,Remove:function(l){a.Event(l,this,"Remove")},Mouseover:function(l){a.Event(l,this,"Mouseover")},Mouseout:function(l){a.Event(l,this,"Mouseout")},Mousedown:function(l){a.Event(l,this,"Mousedown")},Mouseup:function(l){a.Event(l,this,"Mouseup")},Mousemove:function(l){a.Event(l,this,"Mousemove")},Event:function(n,o,l){if(!n){n=window.event}var m=o.menuItem;if(m&&m[l]){return m[l](n,o)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:this.False,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){l.onmousemove=a.Mousemove;this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(l,m){if(this.timer){clearTimeout(this.timer)}l={clientX:l.clientX,clientY:l.clientY};this.timer=setTimeout(MathJax.Callback(["Mouseup",this,l,m]),j.delay)},Mouseup:function(n,p){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(n,p)}else{var o=document.getElementById("MathJax_MenuFrame").childNodes,l=o.length-1;while(l>=0){var q=o[l];q.menuItem.posted=false;q.parentNode.removeChild(q);if(q.menuItem===this.menu){break}l--}}}return this.False(n)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(i?"\u25CF":"\u2713"),Init:function(m,l,n){this.name=m;this.variable=l;this.With(n);if(this.value==null){this.value=this.name}},Label:function(m,n){var l={className:"MathJax_MenuRadioCheck"};if(j.settings[this.variable]!==this.value){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(p,q){if(!this.disabled){var r=q.parentNode.childNodes;for(var n=0,l=r.length;n<l;n++){var o=r[n].menuItem;if(o&&o.variable===this.variable){r[n].firstChild.style.display="none"}}q.firstChild.display="";j.settings[this.variable]=this.value;a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(p,q);return this.False(p)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(m,l,n){this.name=m;this.variable=l;this.With(n)},Label:function(m,n){var l={className:"MathJax_MenuCheck"};if(!j.settings[this.variable]){l={style:{display:"none"}}}return[["span",l,[this.marker]]," "+this.name]},Mouseup:function(l,m){if(!this.disabled){m.firstChild.display=(j.settings[this.variable]?"none":"");j.settings[this.variable]=!j.settings[this.variable];a.cookie[this.variable]=j.settings[this.variable];a.saveCookie();if(this.action){this.action.call(a)}}this.Remove(l,m);return this.False(l)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(l,m){this.name=l;this.With(m)},Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuLabel";return[this.name]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(l,m){delete l.onmouseover,delete l.onmouseout;delete l.onmousedown;l.className+=" MathJax_MenuRule";return null}});a.About=function(){var o=MathJax.OutputJax["HTML-CSS"]||{fontInUse:""};var q=(o.webFonts?"":"local "),m=(o.webFonts?" web":"");var n=(o.imgFonts?"Image":q+o.fontInUse+m)+" fonts";var l=[];a.About.GetJax(l,MathJax.InputJax,"Input Jax");a.About.GetJax(l,MathJax.OutputJax,"Output Jax");a.About.GetJax(l,MathJax.ElementJax,"Element Jax");l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(l,MathJax.Extension,"Extension",true);l.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[b.Browser+" v"+b.Browser.version+(o.webFonts?" \u2014 "+o.allowWebFonts+" fonts":"")]]);a.About.div=a.Background(a.About);var r=MathJax.HTML.addElement(a.About.div,"div",{id:"MathJax_About",onclick:a.About.Remove},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],"using "+n,["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},l],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["wwww.mathjax.org"]]]);var s=(document.documentElement||{});var p=window.innerHeight||s.clientHeight||s.scrollHeight||0;if(a.prototype.msieAboutBug){r.style.width="20em";r.style.position="absolute";r.style.left=Math.floor((document.documentElement.scrollWidth-r.offsetWidth)/2)+"px";r.style.top=(Math.floor((p-r.offsetHeight)/3)+document.body.scrollTop)+"px"}else{r.style.marginLeft=Math.floor(-r.offsetWidth/2)+"px";r.style.top=Math.floor((p-r.offsetHeight)/3)+"px"}};a.About.Remove=function(l){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(l,o,n,m){for(var p in o){if(o.hasOwnProperty(p)&&o[p]){if((m&&o[p].version)||(o[p].isa&&o[p].isa(o))){l.push((o[p].id||p)+" "+n+" v"+o[p].version,["br"])}}}return l};a.Help=function(){window.open(j.helpURL,"MathJaxHelp")};a.ShowSource=function(n){if(!n){n=window.event}if(!a.jax){return}if(j.settings.format==="MathML"){var l=MathJax.ElementJax.mml;if(l&&typeof(l.mbase.prototype.toMathML)!=="undefined"){a.ShowSource.Text(a.jax.root.toMathML(),n)}else{if(!f.loadingToMathML){f.loadingToMathML=true;var m={screenX:n.screenX,screenY:n.screenY};a.ShowSource.Window(n);MathJax.Callback.Queue(f.Require("[MathJax]/extensions/toMathML.js"),function(){delete f.loadingToMathML},[this,arguments.callee,m]);return}}}else{if(a.jax.originalText==null){alert("No TeX form available");return}a.ShowSource.Text(a.jax.originalText,n)}};a.ShowSource.Window=function(m){if(!a.ShowSource.w){var n=[],l=j.windowSettings;for(var o in l){if(l.hasOwnProperty(o)){n.push(o+"="+l[o])}}a.ShowSource.w=window.open("","_blank",n.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(r,q){var n=a.ShowSource.Window(q);r=r.replace(/^\s*/,"").replace(/\s*$/,"");r=r.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");n.document.open();n.document.write("<html><head><title>MathJax Equation Source</title></head><body 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diff --git a/public/MathJax/extensions/TeX/AMSmath.js b/public/MathJax/extensions/TeX/AMSmath.js
index bc0a7e97..1d1eb818 100644
--- a/public/MathJax/extensions/TeX/AMSmath.js
+++ b/public/MathJax/extensions/TeX/AMSmath.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var e="1.0";var a=MathJax.ElementJax.mml;var f=MathJax.InputJax.TeX;var c=f.Definitions;var d=f.Stack.Item;var b=function(g){return g.join("em ")+"em"};MathJax.Hub.Insert(c,{macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",a.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",a.LENGTH.NEGATIVETHICKMATHSPACE],intI:["Macro","\\mathchoice{\\!}{}{}{}\\!\\!\\int"],iiiint:["MultiIntegral","\\int\\intI\\intI\\intI"],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}",1],ddddot:["Macro","\\mathop{#1}\\limits^{\\textstyle 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g=this.trimSpaces(this.GetArgument(h));if(g==="*"){g=this.GetArgument(h)}else{g="("+g+")"}if(this.stack.global.notag){f.Error(h+" not allowed in "+this.stack.global.notag+" environment")}if(this.stack.global.tag){f.Error("Multiple "+h)}this.stack.global.tag=a.mtd.apply(a,this.InternalMath(g))},HandleNoTag:function(g){if(this.stack.global.tag){delete this.stack.global.tag}},HandleDeclareOp:function(h){var g="";var i=this.trimSpaces(this.GetArgument(h));if(i=="*"){g="\\limits";i=this.trimSpaces(this.GetArgument(h))}if(i.charAt(0)=="\\"){i=i.substr(1)}var j=this.GetArgument(h);j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");f.Definitions.macros[i]=["Macro","\\mathop{\\rm "+j+"}"+g]},HandleOperatorName:function(h){var g="\\nolimits";var i=this.trimSpaces(this.GetArgument(h));if(i=="*"){g="\\limits";i=this.trimSpaces(this.GetArgument(h))}i=i.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+i+"}"+g+" "+this.string.slice(this.i);this.i=0},HandleShove:function(h,g){var i=this.stack.Top();if(i.type!=="multline"||i.data.length){f.Error(h+" must come at the beginning of the line")}i.data.shove=g},CFrac:function(j){var g=this.trimSpaces(this.GetBrackets(j)),i=this.GetArgument(j),k=this.GetArgument(j);var h=a.mfrac(f.Parse("\\strut\\textstyle{"+i+"}",this.stack.env).mml(),f.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml());g=({l:a.ALIGN.LEFT,r:a.ALIGN.RIGHT,"":""})[g];if(g==null){f.Error("Illegal alignment specified in "+j)}if(g){h.numalign=h.denomalign=g}this.Push(h)},Genfrac:function(h,j,o,l,g){if(j==null){j=this.GetDelimiterArg(h)}else{j=this.convertDelimiter(j)}if(o==null){o=this.GetDelimiterArg(h)}else{o=this.convertDelimiter(o)}if(l==null){l=this.GetArgument(h)}if(g==null){g=this.trimSpaces(this.GetArgument(h))}var k=this.ParseArg(h);var n=this.ParseArg(h);var i=a.mfrac(k,n);if(l!==""){i.linethickness=l}if(j||o){i=a.mfenced(i).With({open:j,close:o})}if(g!==""){var 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this.convertDelimiter(h)}});d.multline=d.array.Subclass({type:"multline",EndEntry:function(){var g=a.mtd.apply(a,this.data);if(this.data.shove){g.columnalign=this.data.shove}this.row.push(g);this.data=[]},EndRow:function(){if(this.row.length!=1){f.Error("multline rows must have exactly one column")}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var h=this.table.length-1,j;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=a.ALIGN.LEFT}if(!this.table[h][0].columnalign){this.table[h][0].columnalign=a.ALIGN.RIGHT}var g=a.mtr;if(this.global.tag){this.table[0]=[this.global.tag].concat(this.table[0]);delete 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g=this.trimSpaces(this.GetArgument(h));if(g==="*"){g=this.GetArgument(h)}else{g="("+g+")"}if(this.stack.global.notag){f.Error(h+" not allowed in "+this.stack.global.notag+" environment")}if(this.stack.global.tag){f.Error("Multiple "+h)}this.stack.global.tag=a.mtd.apply(a,this.InternalMath(g))},HandleNoTag:function(g){if(this.stack.global.tag){delete this.stack.global.tag}},HandleDeclareOp:function(h){var g="";var i=this.trimSpaces(this.GetArgument(h));if(i=="*"){g="\\limits";i=this.trimSpaces(this.GetArgument(h))}if(i.charAt(0)=="\\"){i=i.substr(1)}var j=this.GetArgument(h);j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");f.Definitions.macros[i]=["Macro","\\mathop{\\rm "+j+"}"+g]},HandleOperatorName:function(h){var g="\\nolimits";var i=this.trimSpaces(this.GetArgument(h));if(i=="*"){g="\\limits";i=this.trimSpaces(this.GetArgument(h))}i=i.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+i+"}"+g+" 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this.convertDelimiter(h)}});d.multline=d.array.Subclass({type:"multline",EndEntry:function(){var g=a.mtd.apply(a,this.data);if(this.data.shove){g.columnalign=this.data.shove}this.row.push(g);this.data=[]},EndRow:function(){if(this.row.length!=1){f.Error("multline rows must have exactly one column")}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var h=this.table.length-1,j;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=a.ALIGN.LEFT}if(!this.table[h][0].columnalign){this.table[h][0].columnalign=a.ALIGN.RIGHT}var g=a.mtr;if(this.global.tag){this.table[0]=[this.global.tag].concat(this.table[0]);delete 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i={side:f.config.TagSide,minlabelspacing:f.config.TagIndent,columnalign:g.displayAlign};if(g.displayAlign===a.INDENTALIGN.LEFT){i.width="100%";if(g.displayIndent&&!String(g.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){i.columnwidth=g.displayIndent+" fit";i.columnspacing="0";j=[j[0],a.mtd(),j[1]]}}else{if(g.displayAlign===a.INDENTALIGN.RIGHT){i.width="100%";if(g.displayIndent&&!String(g.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){i.columnwidth="fit "+g.displayIndent;i.columnspacing="0";j[2]=a.mtd()}}}g=a.mtable(a.mlabeledtr.apply(a,j)).With(i)}return d.mml(g)}return this.SUPER(arguments).checkItem.call(this,h)}});MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
 
diff --git a/public/MathJax/extensions/TeX/AMSsymbols.js b/public/MathJax/extensions/TeX/AMSsymbols.js
index 3de2f4bf..ff888c8b 100644
--- a/public/MathJax/extensions/TeX/AMSsymbols.js
+++ b/public/MathJax/extensions/TeX/AMSsymbols.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.0";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});if(MathJax.Hub.Browser.isMSIE){MathJax.InputJax.TeX.Definitions.mathchar0mi.digamma=["03DC",{variantForm:true}];MathJax.InputJax.TeX.Definitions.mathchar0mi.varkappa=["03F0",{variantForm:true}]}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"250C","\\urcorner":"2510","\\llcorner":"2514","\\lrcorner":"2518"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}});var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=MathJax.InputJax.TeX.Definitions;var c=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(c["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){b.mathchar0mi.varnothing="2205";b.mathchar0mi.hslash="210F";b.mathchar0mi.blacktriangle="25B4";b.mathchar0mi.blacktriangledown="25BE";b.mathchar0mi.square="25FB";b.mathchar0mi.blacksquare="25FC";b.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];b.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];b.mathchar0mo.blacktriangleleft="25C2";b.mathchar0mo.blacktriangleright="25B8";b.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(c["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 
diff --git a/public/MathJax/extensions/TeX/HTML.js b/public/MathJax/extensions/TeX/HTML.js
index ecab7c73..05f149d3 100644
--- a/public/MathJax/extensions/TeX/HTML.js
+++ b/public/MathJax/extensions/TeX/HTML.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.0";var c=MathJax.InputJax.TeX;var a=c.Definitions;a.macros.href="HREF_attribute";a.macros["class"]="CLASS_attribute";a.macros.style="STYLE_attribute";a.macros.cssId="ID_attribute";c.Parse.Augment({HREF_attribute:function(f){var e=this.GetArgument(f),d=this.GetArgumentMML(f);this.Push(d.With({href:e}))},CLASS_attribute:function(e){var f=this.GetArgument(e),d=this.GetArgumentMML(e);if(d["class"]!=null){f=d["class"]+" "+f}this.Push(d.With({"class":f}))},STYLE_attribute:function(e){var f=this.GetArgument(e),d=this.GetArgumentMML(e);if(d.style!=null){if(f.charAt(f.length-1)!==";"){f+=";"}f=d.style+" "+f}this.Push(d.With({style:f}))},ID_attribute:function(f){var e=this.GetArgument(f),d=this.GetArgumentMML(f);this.Push(d.With({id:e}))},GetArgumentMML:function(e){var d=this.ParseArg(e);if(d.inferred&&d.data.length==1){d=d.data[0]}else{delete d.inferred}return d}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1";var c=MathJax.InputJax.TeX;var a=c.Definitions;a.macros.href="HREF_attribute";a.macros["class"]="CLASS_attribute";a.macros.style="STYLE_attribute";a.macros.cssId="ID_attribute";c.Parse.Augment({HREF_attribute:function(f){var e=this.GetArgument(f),d=this.GetArgumentMML(f);this.Push(d.With({href:e}))},CLASS_attribute:function(e){var f=this.GetArgument(e),d=this.GetArgumentMML(e);if(d["class"]!=null){f=d["class"]+" "+f}this.Push(d.With({"class":f}))},STYLE_attribute:function(e){var f=this.GetArgument(e),d=this.GetArgumentMML(e);if(d.style!=null){if(f.charAt(f.length-1)!==";"){f+=";"}f=d.style+" "+f}this.Push(d.With({style:f}))},ID_attribute:function(f){var e=this.GetArgument(f),d=this.GetArgumentMML(f);this.Push(d.With({id:e}))},GetArgumentMML:function(e){var d=this.ParseArg(e);if(d.inferred&&d.data.length==1){d=d.data[0]}else{delete d.inferred}return d}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
 
diff --git a/public/MathJax/extensions/TeX/autobold.js b/public/MathJax/extensions/TeX/autobold.js
index 6282ac31..8af040cc 100644
--- a/public/MathJax/extensions/TeX/autobold.js
+++ b/public/MathJax/extensions/TeX/autobold.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.0";var c=MathJax.InputJax.TeX;var a=c.prefilterMath;c.prefilterMath=function(g,h,e){var f=e.parentNode.insertBefore(document.createElement("span"),e);f.visibility="hidden";f.style.fontFamily="Times, serif";f.appendChild(document.createTextNode("ABCXYZabcxyz"));var d=f.offsetWidth;f.style.fontWeight="bold";if(f.offsetWidth==d){g="\\bf {"+g+"}"}f.parentNode.removeChild(f);return a.call(c,g,h,e)};MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1";var c=MathJax.InputJax.TeX;var a=c.prefilterMath;c.prefilterMath=function(g,h,e){var f=e.parentNode.insertBefore(document.createElement("span"),e);f.visibility="hidden";f.style.fontFamily="Times, serif";f.appendChild(document.createTextNode("ABCXYZabcxyz"));var d=f.offsetWidth;f.style.fontWeight="bold";if(f.offsetWidth==d){g="\\bf {"+g+"}"}f.parentNode.removeChild(f);return a.call(c,g,h,e)};MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
 
diff --git a/public/MathJax/extensions/TeX/boldsymbol.js b/public/MathJax/extensions/TeX/boldsymbol.js
index 4085d124..e6b929f1 100644
--- a/public/MathJax/extensions/TeX/boldsymbol.js
+++ b/public/MathJax/extensions/TeX/boldsymbol.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.0";var a=MathJax.ElementJax.mml;var e=MathJax.InputJax.TeX;var b=e.Definitions;var d={};d[a.VARIANT.NORMAL]=a.VARIANT.BOLD;d[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;d[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;d[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;d[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;d["-tex-caligraphic"]="-tex-caligraphic-bold";d["-tex-oldstyle"]="-tex-oldstyle-bold";b.macros.boldsymbol="Boldsymbol";e.Parse.Augment({mmlToken:function(g){if(this.stack.env.boldsymbol){var f=g.Get("mathvariant");if(f==null){g.mathvariant=a.VARIANT.BOLD}else{g.mathvariant=(d[f]||f)}}return g},Boldsymbol:function(i){var f=this.stack.env.boldsymbol,g=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var h=this.ParseArg(i);this.stack.env.font=g;this.stack.env.boldsymbol=f;this.Push(h)}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=a.FONTDATA.FONTS;var b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["MathJax_Caligraphic-bold"]="Caligraphic/Bold/Main.js";b["-tex-caligraphic-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],offsetA:65,variantA:"bold-italic"};b["-tex-oldstyle-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"]};if(a.msieCheckGreek&&a.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:a.msieCheckGreek})){b["bold-italic"].offsetG=913;b["bold-italic"].variantG="-Greek-Bold-Italic";b["-Greek-Bold-Italic"]={fonts:["MathJax_Greek-bold-italic"]};c["MathJax_Greek-bold-italic"]="Greek/BoldItalic/Main.js"}if(MathJax.Hub.Browser.isChrome&&!MathJax.Hub.Browser.versionAtLeast("5.0")){b["-tex-caligraphic-bold"].remap={84:[58096,"-WinChrome"]}}}else{if(a.fontInUse==="STIX"){b["-tex-caligraphic-bold"]={fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],offsetA:57927,noLowerCase:1};b["-tex-oldstyle-bold"]={fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}}}MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml;var e=MathJax.InputJax.TeX;var b=e.Definitions;var d={};d[a.VARIANT.NORMAL]=a.VARIANT.BOLD;d[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;d[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;d[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;d[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;d["-tex-caligraphic"]="-tex-caligraphic-bold";d["-tex-oldstyle"]="-tex-oldstyle-bold";b.macros.boldsymbol="Boldsymbol";e.Parse.Augment({mmlToken:function(g){if(this.stack.env.boldsymbol){var f=g.Get("mathvariant");if(f==null){g.mathvariant=a.VARIANT.BOLD}else{g.mathvariant=(d[f]||f)}}return g},Boldsymbol:function(i){var f=this.stack.env.boldsymbol,g=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var h=this.ParseArg(i);this.stack.env.font=g;this.stack.env.boldsymbol=f;this.Push(h)}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=a.FONTDATA.FONTS;var b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["MathJax_Caligraphic-bold"]="Caligraphic/Bold/Main.js";b["-tex-caligraphic-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],offsetA:65,variantA:"bold-italic"};b["-tex-oldstyle-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"]};if(a.msieCheckGreek&&a.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:a.msieCheckGreek})){b["bold-italic"].offsetG=913;b["bold-italic"].variantG="-Greek-Bold-Italic";b["-Greek-Bold-Italic"]={fonts:["MathJax_Greek-bold-italic"]};c["MathJax_Greek-bold-italic"]="Greek/BoldItalic/Main.js"}if(MathJax.Hub.Browser.isChrome&&!MathJax.Hub.Browser.versionAtLeast("5.0")){b["-tex-caligraphic-bold"].remap={84:[58096,"-WinChrome"]}}}else{if(a.fontInUse==="STIX"){b["-tex-caligraphic-bold"]={fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],offsetA:57927,noLowerCase:1};b["-tex-oldstyle-bold"]={fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}}}MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
 
diff --git a/public/MathJax/extensions/TeX/mathchoice.js b/public/MathJax/extensions/TeX/mathchoice.js
index d38b6d8f..fff8adf9 100644
--- a/public/MathJax/extensions/TeX/mathchoice.js
+++ b/public/MathJax/extensions/TeX/mathchoice.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.0";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.macros.mathchoice="MathChoice";d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",choice:function(){var e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){return Math.min(3,e.scriptlevel+1)}return(e.displaystyle?0:1)},setTeXclass:function(e){return this.Core().setTeXclass(e)},isSpacelike:function(){return this.Core().isSpacelike()},isEmbellished:function(){return this.Core().isEmbellished()},Core:function(){return this.data[this.choice()]},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.macros.mathchoice="MathChoice";d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",choice:function(){var e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){return Math.min(3,e.scriptlevel+1)}return(e.displaystyle?0:1)},setTeXclass:function(e){return this.Core().setTeXclass(e)},isSpacelike:function(){return this.Core().isSpacelike()},isEmbellished:function(){return this.Core().isEmbellished()},Core:function(){return this.data[this.choice()]},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
 
diff --git a/public/MathJax/extensions/TeX/newcommand.js b/public/MathJax/extensions/TeX/newcommand.js
index 43c4d67c..06aa258c 100644
--- a/public/MathJax/extensions/TeX/newcommand.js
+++ b/public/MathJax/extensions/TeX/newcommand.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.0.1";var c=MathJax.InputJax.TeX;var a=c.Definitions;MathJax.Hub.Insert(a,{macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",def:"MacroDef"}});c.Parse.Augment({NewCommand:function(d){var e=this.trimSpaces(this.GetArgument(d)),g=this.trimSpaces(this.GetBrackets(d)),f=this.GetArgument(d);if(g===""){g=null}if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){c.Error("Illegal control sequence name for "+d)}if(g!=null&&!g.match(/^[0-9]+$/)){c.Error("Illegal number of parameters specified in "+d)}a.macros[e]=["Macro",f,g]},NewEnvironment:function(e){var f=this.trimSpaces(this.GetArgument(e)),h=this.trimSpaces(this.GetBrackets(e)),g=this.GetArgument(e),d=this.GetArgument(e);if(h===""){h=null}if(h!=null&&!h.match(/^[0-9]+$/)){c.Error("Illegal number of parameters specified in "+e)}a.environment[f]=["BeginEnv","EndEnv",g,d,h]},MacroDef:function(d){var e=this.GetCSname(d),g=this.GetTemplate(d,"\\"+e),f=this.GetArgument(d);if(!(g instanceof Array)){a.macros[e]=["Macro",f,g]}else{a.macros[e]=["MacroWithTemplate",f,g[0],g[1]]}},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){c.Error("\\ must be followed by a control sequence")}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){c.Error("Illegal use of # in template for "+e)}if(parseInt(j)!=++h){c.Error("Parameters for "+e+" must be numbered sequentially")}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}c.Error("Missing replacement string for definition of "+f)},MacroWithTemplate:function(e,h,j,g){if(j){var d=[];this.GetNext();if(g[0]&&!this.MatchParam(g[0])){c.Error("Use of "+e+" doesn't match its definition")}for(var f=0;f<j;f++){d.push(this.GetParameter(e,g[f+1]))}h=this.SubstituteArgs(d,h)}this.string=this.AddArgs(h,this.string.slice(this.i));this.i=0;if(++this.macroCount>c.config.MAXMACROS){c.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?")}},BeginEnv:function(g,j,d,h){if(h){var e=[];for(var f=0;f<h;f++){e.push(this.GetArgument("\\begin{"+name+"}"))}j=this.SubstituteArgs(e,j);d=this.SubstituteArgs(e,d)}g.edef=d;this.string=this.AddArgs(j,this.string.slice(this.i));this.i=0;return g},EndEnv:function(d,e){this.string=this.AddArgs(d.edef,this.string.slice(this.i));this.i=0;return e},GetParameter:function(e,h){if(h==null){return this.GetArgument(e)}var g=this.i,d=0,f=0;while(this.i<this.string.length){if(this.string.charAt(this.i)==="{"){if(this.i===g){f=1}this.GetArgument(e);d=this.i-g}else{if(this.MatchParam(h)){if(f){g++;d-=2}return this.string.substr(g,d)}else{this.i++;d++;f=0}}}c.Error("Runaway argument for "+e+"?")},MatchParam:function(d){if(this.string.substr(this.i,d.length)!==d){return 0}this.i+=d.length;return 1}});c.Environment=function(d){a.environment[d]=["BeginEnv","EndEnv"].concat([].slice.call(arguments,1))};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1";var c=MathJax.InputJax.TeX;var a=c.Definitions;MathJax.Hub.Insert(a,{macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",def:"MacroDef"}});c.Parse.Augment({NewCommand:function(d){var e=this.trimSpaces(this.GetArgument(d)),g=this.trimSpaces(this.GetBrackets(d)),f=this.GetArgument(d);if(g===""){g=null}if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){c.Error("Illegal control sequence name for "+d)}if(g!=null&&!g.match(/^[0-9]+$/)){c.Error("Illegal number of parameters specified in "+d)}a.macros[e]=["Macro",f,g]},NewEnvironment:function(e){var f=this.trimSpaces(this.GetArgument(e)),h=this.trimSpaces(this.GetBrackets(e)),g=this.GetArgument(e),d=this.GetArgument(e);if(h===""){h=null}if(h!=null&&!h.match(/^[0-9]+$/)){c.Error("Illegal number of parameters specified in "+e)}a.environment[f]=["BeginEnv","EndEnv",g,d,h]},MacroDef:function(d){var e=this.GetCSname(d),g=this.GetTemplate(d,"\\"+e),f=this.GetArgument(d);if(!(g instanceof Array)){a.macros[e]=["Macro",f,g]}else{a.macros[e]=["MacroWithTemplate",f,g[0],g[1]]}},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){c.Error("\\ must be followed by a control sequence")}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){c.Error("Illegal use of # in template for "+e)}if(parseInt(j)!=++h){c.Error("Parameters for "+e+" must be numbered sequentially")}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}c.Error("Missing replacement string for definition of "+f)},MacroWithTemplate:function(e,h,j,g){if(j){var d=[];this.GetNext();if(g[0]&&!this.MatchParam(g[0])){c.Error("Use of "+e+" doesn't match its definition")}for(var f=0;f<j;f++){d.push(this.GetParameter(e,g[f+1]))}h=this.SubstituteArgs(d,h)}this.string=this.AddArgs(h,this.string.slice(this.i));this.i=0;if(++this.macroCount>c.config.MAXMACROS){c.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?")}},BeginEnv:function(g,j,d,h){if(h){var e=[];for(var f=0;f<h;f++){e.push(this.GetArgument("\\begin{"+name+"}"))}j=this.SubstituteArgs(e,j);d=this.SubstituteArgs(e,d)}g.edef=d;this.string=this.AddArgs(j,this.string.slice(this.i));this.i=0;return g},EndEnv:function(d,e){this.string=this.AddArgs(d.edef,this.string.slice(this.i));this.i=0;return e},GetParameter:function(e,h){if(h==null){return this.GetArgument(e)}var g=this.i,d=0,f=0;while(this.i<this.string.length){if(this.string.charAt(this.i)==="{"){if(this.i===g){f=1}this.GetArgument(e);d=this.i-g}else{if(this.MatchParam(h)){if(f){g++;d-=2}return this.string.substr(g,d)}else{this.i++;d++;f=0}}}c.Error("Runaway argument for "+e+"?")},MatchParam:function(d){if(this.string.substr(this.i,d.length)!==d){return 0}this.i+=d.length;return 1}});c.Environment=function(d){a.environment[d]=["BeginEnv","EndEnv"].concat([].slice.call(arguments,1))};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
 
diff --git a/public/MathJax/extensions/TeX/noErrors.js b/public/MathJax/extensions/TeX/noErrors.js
index 9244c93b..cf95b18e 100644
--- a/public/MathJax/extensions/TeX/noErrors.js
+++ b/public/MathJax/extensions/TeX/noErrors.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(){var c="1.0.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
 
diff --git a/public/MathJax/extensions/TeX/noUndefined.js b/public/MathJax/extensions/TeX/noUndefined.js
index c3e06a3d..511e7118 100644
--- a/public/MathJax/extensions/TeX/noUndefined.js
+++ b/public/MathJax/extensions/TeX/noUndefined.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Extension["TeX/noUndefined"]={version:"1.0.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 
diff --git a/public/MathJax/extensions/TeX/unicode.js b/public/MathJax/extensions/TeX/unicode.js
index 9dde6cc9..a451f877 100644
--- a/public/MathJax/extensions/TeX/unicode.js
+++ b/public/MathJax/extensions/TeX/unicode.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Extension["TeX/unicode"]={version:"1.0.1",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=MathJax.Extension["TeX/unicode"].unicode;d.Definitions.macros.unicode="Unicode";d.Parse.Augment({Unicode:function(f){var j=this.GetBrackets(f),e;if(j){j=j.replace(/ /g,"");if(j.match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){j=j.split(/,/);e=this.GetBrackets(f)}else{e=j;j=null}}var k=this.trimSpaces(this.GetArgument(f)),i=parseInt(k.match(/^x/)?"0"+k:k);b[i]=[800,200,500,0,500,{isUnknown:true,isUnicode:true,font:c}];if(j){b[i][0]=Math.floor(j[0]*1000);b[i][1]=Math.floor(j[1]*1000)}var g=this.stack.env.font,h={};if(e){h.fontfamily=e;if(g){if(g.match(/bold/)){h.fontweight="bold"}if(g.match(/italic/)){h.fontstyle="italic"}}b[i][5].font=e+","+c}else{if(g){h.mathvariant=g}}this.Push(a.mtext(a.entity("#"+k)).With(h))}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=MathJax.Extension["TeX/unicode"].unicode;var b=a.lookupChar;a.Augment({lookupChar:function(e,f){var d=b.call(this,e,f);if(d[f][5]&&d[f][5].isUnknown&&c[f]){d[f]=c[f]}return d}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");
+MathJax.Extension["TeX/unicode"]={version:"1.1",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=MathJax.Extension["TeX/unicode"].unicode;d.Definitions.macros.unicode="Unicode";d.Parse.Augment({Unicode:function(f){var j=this.GetBrackets(f),e;if(j){j=j.replace(/ /g,"");if(j.match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){j=j.split(/,/);e=this.GetBrackets(f)}else{e=j;j=null}}var k=this.trimSpaces(this.GetArgument(f)),i=parseInt(k.match(/^x/)?"0"+k:k);b[i]=[800,200,500,0,500,{isUnknown:true,isUnicode:true,font:c}];if(j){b[i][0]=Math.floor(j[0]*1000);b[i][1]=Math.floor(j[1]*1000)}var g=this.stack.env.font,h={};if(e){h.fontfamily=e;if(g){if(g.match(/bold/)){h.fontweight="bold"}if(g.match(/italic/)){h.fontstyle="italic"}}b[i][5].font=e+","+c}else{if(g){h.mathvariant=g}}this.Push(a.mtext(a.entity("#"+k)).With(h))}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=MathJax.Extension["TeX/unicode"].unicode;var b=a.lookupChar;a.Augment({lookupChar:function(e,f){var d=b.call(this,e,f);if(d[f][5]&&d[f][5].isUnknown&&c[f]){d[f]=c[f]}return d}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");
 
diff --git a/public/MathJax/extensions/TeX/verb.js b/public/MathJax/extensions/TeX/verb.js
index 407c1b65..fce988ac 100644
--- a/public/MathJax/extensions/TeX/verb.js
+++ b/public/MathJax/extensions/TeX/verb.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.0";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.macros.verb="Verb";d.Parse.Augment({Verb:function(e){var h=this.GetNext();var g=++this.i;if(h==""){d.Error(e+" requires an argument")}while(this.i<this.string.length&&this.string.charAt(this.i)!=h){this.i++}if(this.i==this.string.length){d.Error("Can't find closing delimiter for "+e)}var f=this.string.slice(g,this.i);this.i++;this.Push(a.mtext(f).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.macros.verb="Verb";d.Parse.Augment({Verb:function(e){var h=this.GetNext();var g=++this.i;if(h==""){d.Error(e+" requires an argument")}while(this.i<this.string.length&&this.string.charAt(this.i)!=h){this.i++}if(this.i==this.string.length){d.Error("Can't find closing delimiter for "+e)}var f=this.string.slice(g,this.i);this.i++;this.Push(a.mtext(f).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");
 
diff --git a/public/MathJax/extensions/jsMath2jax.js b/public/MathJax/extensions/jsMath2jax.js
index f5e8c290..e87541c6 100644
--- a/public/MathJax/extensions/jsMath2jax.js
+++ b/public/MathJax/extensions/jsMath2jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Extension.jsMath2jax={version:"1.1",config:{element:null,preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=this.config.element||document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a.innerHTML)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);a.parentNode.insertBefore(b,a)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");
+MathJax.Extension.jsMath2jax={version:"1.1.1",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a.innerHTML)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);a.parentNode.insertBefore(b,a)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");
 
diff --git a/public/MathJax/extensions/mml2jax.js b/public/MathJax/extensions/mml2jax.js
index dff7a015..7fe6cf45 100644
--- a/public/MathJax/extensions/mml2jax.js
+++ b/public/MathJax/extensions/mml2jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Extension.mml2jax={version:"1.1",config:{element:null,preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=this.config.element||document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.msieMathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.msieProcessMath(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.msieScriptBug){var b=this.msieOuterHTML(e);b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");MathJax.HTML.setScript(a,b.replace(/&nbsp;/g,"&#xA0;"));d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},msieProcessMath:function(e){var c=e.parentNode;var a=document.createElement("script");a.type="math/mml";c.insertBefore(a,e);var b="",d;while(e&&e.nodeName!=="/MATH"){d=e;e=e.nextSibling;b+=this.msieNodeHTML(d);d.parentNode.removeChild(d)}if(e&&e.nodeName==="/MATH"){e.parentNode.removeChild(e)}a.text=b+"</math>";if(this.config.preview!=="none"){this.createPreview(e,a)}},msieNodeHTML:function(d){var c,b,a;if(d.nodeName==="#text"){c=d.nodeValue.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;")}else{if(d.nodeName==="#comment"){c="<!--"+d.nodeValue+"-->"}else{if(this.msieAttributeBug){c="<"+d.nodeName.toLowerCase();for(b=0,a=d.attributes.length;b<a;b++){if(d.attributes[b].specified){c+=" "+d.attributes[b].nodeName.toLowerCase()+"=";c+='"'+d.attributes[b].nodeValue.replace(/\"/g,'\\"')+'"'}}c+=">"}else{c=this.toLowerCase(d.outerHTML);var e=c.split(/\"/);for(b=0,a=e.length;b<a;b+=2){e[b]=e[b].toLowerCase()}c=e.join('"')}}}return c},msieOuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.msieNodeHTML(d)}if(!this.msieAttributeBug){return d.outerHTML}var c=this.msieNodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.msieOuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){MathJax.Hub.Browser.Select({MSIE:function(a){var b=MathJax.HTML.Element("span",{className:"mathjax"});MathJax.Hub.Insert(MathJax.Extension.mml2jax,{msieScriptBug:true,msieMathTagBug:(MathJax.HTML.Element("span",{innerHTML:"<math><mi>x</mi></math>"}).childNodes.length!==1),msieAttributeBug:(b.outerHTML.substr(12)!=='"')})}})}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var d,c,a;if(e.nodeName==="#text"){d=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){d="<!--"+e.nodeValue+"-->"}else{d="<"+e.nodeName.toLowerCase();var b=e.attributes;for(c=0,a=b.length;c<a;c++){if(b[c].specified){d+=" "+b[c].nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";d+='"'+this.quoteHTML(b[c].nodeValue)+'"'}}d+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(c=0,a=e.childNodes.length;c<a;c++){d+=this.OuterHTML(e.childNodes[c])}d+="</"+e.nodeName.toLowerCase()+">"}}}return d},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
 
diff --git a/public/MathJax/extensions/tex2jax.js b/public/MathJax/extensions/tex2jax.js
index 6453d072..578ae2cd 100644
--- a/public/MathJax/extensions/tex2jax.js
+++ b/public/MathJax/extensions/tex2jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Extension.tex2jax={version:"1.1",config:{element:null,inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=this.config.element||document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(b,c){var d=this.match[b[0]];if(d!=null){this.search={end:d.end,mode:d.mode,open:c,olen:b[0].length,opos:this.pattern.lastIndex-b[0].length};this.switchPattern(d.pattern)}else{if(b[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+b[1]+"}",mode:"; mode=display",open:c,olen:0,opos:this.pattern.lastIndex-b[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var a=b[0].replace(/\\(.)/g,"$1");c.nodeValue=c.nodeValue.substr(0,b.index)+a+c.nodeValue.substr(b.index+b[0].length);this.pattern.lastIndex-=b[0].length-a.length}}return c},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{c.nodeValue+=" "}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}this.createPatterns();this.scanElement(a,a.nextSibling)},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|")+(b.processEnvironments?"|\\\\begin\\{([^}]*)\\}":"")+(b.processEscapes?"|\\\\*\\\\\\$":""),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)")},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,f){var a,e,d;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!f){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}if(c.firstChild&&!a.match(/(^| )MathJax/)&&!this.skipTags.exec(e)){d=(f||this.ignoreClass.exec(a))&&!this.processClass.exec(a);this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
 
diff --git a/public/MathJax/extensions/toMathML.js b/public/MathJax/extensions/toMathML.js
index 3df91cdf..70203c7d 100644
--- a/public/MathJax/extensions/toMathML.js
+++ b/public/MathJax/extensions/toMathML.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="1.1";var a=MathJax.ElementJax.mml;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.MathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},MathMLattributes:function(){var j=[],g=this.defaults;var c=this.copyAttributes,l=this.skipAttributes;if(this.type==="math"){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.quoteHTML(k)+'"')}this[d]=k}}}for(var h=0,f=c.length;h<f;h++){if(this[c[h]]!=null){j.push(c[h]+'="'+this.quoteHTML(this[c[h]])+'"')}}if(j.length){return" "+j.join(" ")}else{return""}},copyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],skipAttributes:{texClass:1,useHeight:1,texprimestyle:1},quoteHTML:function(e){e=String(e).split("");for(var f=0,d=e.length;f<d;f++){var h=e[f].charCodeAt(0);if(h<32||h>126){e[f]="&#x"+h.toString(16).toUpperCase()+";"}else{var g={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[e[f]];if(g){e[f]=g}}}return e.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(c){return c+"<mrow>\n"+this.data[0].toMathML(c+"  ")+"\n"+c+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.quoteHTML(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="1.1.1";var a=MathJax.ElementJax.mml;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.MathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},MathMLattributes:function(){var j=[],g=this.defaults;var c=this.copyAttributes,l=this.skipAttributes;if(this.type==="math"){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.quoteHTML(k)+'"')}this[d]=k}}}for(var h=0,f=c.length;h<f;h++){if(this[c[h]]!=null){j.push(c[h]+'="'+this.quoteHTML(this[c[h]])+'"')}}if(j.length){return" "+j.join(" ")}else{return""}},copyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],skipAttributes:{texClass:1,useHeight:1,texprimestyle:1},quoteHTML:function(e){e=String(e).split("");for(var f=0,d=e.length;f<d;f++){var h=e[f].charCodeAt(0);if(h<32||h>126){e[f]="&#x"+h.toString(16).toUpperCase()+";"}else{var g={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[e[f]];if(g){e[f]=g}}}return e.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(c){return c+"<mrow>\n"+this.data[0].toMathML(c+"  ")+"\n"+c+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.quoteHTML(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 
diff --git a/public/MathJax/extensions/v1.0-warning.js b/public/MathJax/extensions/v1.0-warning.js
index 578a6eb7..891cf616 100644
--- a/public/MathJax/extensions/v1.0-warning.js
+++ b/public/MathJax/extensions/v1.0-warning.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(b,e){var d="1.1";var a={style:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"}};if(b.Browser.isIE9&&document.documentMode>=9){delete a.style.filter}var c;b.Register.StartupHook("onLoad",function(){var f=document.body;if(b.Browser.isMSIE){MathJax.Message.Init();f=document.getElementById("MathJax_MSIE_frame");a.style.position="absolute"}else{delete a.style.filter}a.style.maxWidth=(document.body.clientWidth-75)+"px";c=e.addElement(f,"div",{id:"MathJax_ConfigWarning",style:a.style},[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){c.style.display="none"}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]],"MathJax no longer loads a default configuration file; you must specify such files explicitly. This page seems to use the older default ",["code",{},["config/MathJax.js"]]," file, and so needs to be updated.  This is explained further at",["p",{style:{"text-align":"center"}},[["a",{href:"http://www.mathjax.org/help/configuration"},["http://www.mathjax.org/help/configuration"]]]]])})})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/v1.0-warning.js");
+(function(b,e){var d="1.1";var a={style:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"}};if(b.Browser.isIE9&&document.documentMode>=9){delete a.style.filter}var c;b.Register.StartupHook("onLoad",function(){var f=document.body;if(b.Browser.isMSIE){MathJax.Message.Init();f=document.getElementById("MathJax_MSIE_frame")||f;a.style.position="absolute"}else{delete a.style.filter}a.style.maxWidth=(document.body.clientWidth-75)+"px";c=e.addElement(f,"div",{id:"MathJax_ConfigWarning",style:a.style},[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){c.style.display="none"}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]],"MathJax no longer loads a default configuration file; you must specify such files explicitly. This page seems to use the older default ",["code",{},["config/MathJax.js"]]," file, and so needs to be updated.  This is explained further at",["p",{style:{"text-align":"center"}},[["a",{href:"http://www.mathjax.org/help/configuration"},["http://www.mathjax.org/help/configuration"]]]]])})})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/v1.0-warning.js");
 
diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_AMS-Regular.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_AMS-Regular.eot
index 9b422fd2..6d8ab3cc 100644
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diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Bold.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Bold.eot
index 84ac9029..86ce034c 100644
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diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Regular.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Regular.eot
index 51d540cf..4d0cc8da 100644
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diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Bold.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Bold.eot
index bae4beab..2f194a13 100644
Binary files a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Bold.eot and b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Bold.eot differ
diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Regular.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Regular.eot
index 6eb68daa..c4bcbd8c 100644
Binary files a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Regular.eot and b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Regular.eot differ
diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Bold.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Bold.eot
index db350a9a..99ac10d8 100644
Binary files a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Bold.eot and b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Bold.eot differ
diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Italic.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Italic.eot
index 4cd38c80..9942105d 100644
Binary files a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Italic.eot and b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Italic.eot differ
diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Regular.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Main-Regular.eot
index 21e11187..5e17ee78 100644
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diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-BoldItalic.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-BoldItalic.eot
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diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-Italic.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-Italic.eot
index 074baa00..4a620170 100644
Binary files a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-Italic.eot and b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-Italic.eot differ
diff --git a/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-Regular.eot b/public/MathJax/fonts/HTML-CSS/TeX/eot/MathJax_Math-Regular.eot
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index ca6cf53b..edd4a15a 100644
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diff --git a/public/MathJax/fonts/HTML-CSS/TeX/svg/MathJax_Main-Italic.svg b/public/MathJax/fonts/HTML-CSS/TeX/svg/MathJax_Main-Italic.svg
index b2974526..93849a8a 100644
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diff --git a/public/MathJax/jax/element/mml/jax.js b/public/MathJax/jax/element/mml/jax.js
index d8e1acf3..d8e84311 100644
--- a/public/MathJax/jax/element/mml/jax.js
+++ b/public/MathJax/jax/element/mml/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
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
diff --git a/public/MathJax/jax/input/MathML/config.js b/public/MathJax/jax/input/MathML/config.js
index 1a5a70fc..2a0227b3 100644
--- a/public/MathJax/jax/input/MathML/config.js
+++ b/public/MathJax/jax/input/MathML/config.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
 
diff --git a/public/MathJax/jax/input/MathML/entities/a.js b/public/MathJax/jax/input/MathML/entities/a.js
index 6aad5c8b..d0f091bc 100644
--- a/public/MathJax/jax/input/MathML/entities/a.js
+++ b/public/MathJax/jax/input/MathML/entities/a.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{AElig:"\u00C6",Aacute:"\u00C1",Abreve:"\u0102",Acirc:"\u00C2",Acy:"\u0410",Agrave:"\u00C0",Amacr:"\u0100",And:"\u2A53",Aogon:"\u0104",Aring:"\u00C5",Assign:"\u2254",Atilde:"\u00C3",Auml:"\u00C4",aacute:"\u00E1",abreve:"\u0103",ac:"\u223E",acE:"\u223E\u0333",acd:"\u223F",acirc:"\u00E2",acy:"\u0430",aelig:"\u00E6",af:"\u2061",agrave:"\u00E0",amacr:"\u0101",amp:"\u0026",andand:"\u2A55",andd:"\u2A5C",andslope:"\u2A58",andv:"\u2A5A",ange:"\u29A4",angle:"\u2220",angmsdaa:"\u29A8",angmsdab:"\u29A9",angmsdac:"\u29AA",angmsdad:"\u29AB",angmsdae:"\u29AC",angmsdaf:"\u29AD",angmsdag:"\u29AE",angmsdah:"\u29AF",angrt:"\u221F",angrtvb:"\u22BE",angrtvbd:"\u299D",angst:"\u212B",angzarr:"\u237C",aogon:"\u0105",ap:"\u2248",apE:"\u2A70",apacir:"\u2A6F",apid:"\u224B",apos:"\u0027",approx:"\u2248",approxeq:"\u224A",aring:"\u00E5",ast:"\u002A",asymp:"\u2248",asympeq:"\u224D",atilde:"\u00E3",auml:"\u00E4",awconint:"\u2233",awint:"\u2A11"});MathJax.Ajax.loadComplete(a.entityDir+"/a.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{AElig:"\u00C6",AMP:"\u0026",Aacute:"\u00C1",Abreve:"\u0102",Acirc:"\u00C2",Acy:"\u0410",Agrave:"\u00C0",Alpha:"\u0391",Amacr:"\u0100",And:"\u2A53",Aogon:"\u0104",Aring:"\u00C5",Assign:"\u2254",Atilde:"\u00C3",Auml:"\u00C4",aacute:"\u00E1",abreve:"\u0103",ac:"\u223E",acE:"\u223E\u0333",acd:"\u223F",acirc:"\u00E2",acy:"\u0430",aelig:"\u00E6",af:"\u2061",agrave:"\u00E0",alefsym:"\u2135",amacr:"\u0101",amp:"\u0026",andand:"\u2A55",andd:"\u2A5C",andslope:"\u2A58",andv:"\u2A5A",ange:"\u29A4",angle:"\u2220",angmsdaa:"\u29A8",angmsdab:"\u29A9",angmsdac:"\u29AA",angmsdad:"\u29AB",angmsdae:"\u29AC",angmsdaf:"\u29AD",angmsdag:"\u29AE",angmsdah:"\u29AF",angrt:"\u221F",angrtvb:"\u22BE",angrtvbd:"\u299D",angst:"\u00C5",angzarr:"\u237C",aogon:"\u0105",ap:"\u2248",apE:"\u2A70",apacir:"\u2A6F",apid:"\u224B",apos:"\u0027",approx:"\u2248",approxeq:"\u224A",aring:"\u00E5",ast:"\u002A",asymp:"\u2248",asympeq:"\u224D",atilde:"\u00E3",auml:"\u00E4",awconint:"\u2233",awint:"\u2A11"});MathJax.Ajax.loadComplete(a.entityDir+"/a.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/b.js b/public/MathJax/jax/input/MathML/entities/b.js
index 91ed83a1..edb67198 100644
--- a/public/MathJax/jax/input/MathML/entities/b.js
+++ b/public/MathJax/jax/input/MathML/entities/b.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Barv:"\u2AE7",Barwed:"\u2306",Bcy:"\u0411",Bernoullis:"\u212C",Bumpeq:"\u224E",bNot:"\u2AED",backcong:"\u224C",backepsilon:"\u03F6",barvee:"\u22BD",barwed:"\u2305",barwedge:"\u2305",bbrk:"\u23B5",bbrktbrk:"\u23B6",bcong:"\u224C",bcy:"\u0431",becaus:"\u2235",because:"\u2235",bemptyv:"\u29B0",bepsi:"\u03F6",bernou:"\u212C",bigcap:"\u22C2",bigcup:"\u22C3",bigvee:"\u22C1",bigwedge:"\u22C0",bkarow:"\u290D",blacksquare:"\u25AA",blacktriangleright:"\u25B8",blank:"\u2423",blk12:"\u2592",blk14:"\u2591",blk34:"\u2593",block:"\u2588",bne:"\u003D\u20E5",bnequiv:"\u2261\u20E5",bnot:"\u2310",bot:"\u22A5",bottom:"\u22A5",boxDL:"\u2557",boxDR:"\u2554",boxDl:"\u2556",boxDr:"\u2553",boxH:"\u2550",boxHD:"\u2566",boxHU:"\u2569",boxHd:"\u2564",boxHu:"\u2567",boxUL:"\u255D",boxUR:"\u255A",boxUl:"\u255C",boxUr:"\u2559",boxV:"\u2551",boxVH:"\u256C",boxVL:"\u2563",boxVR:"\u2560",boxVh:"\u256B",boxVl:"\u2562",boxVr:"\u255F",boxbox:"\u29C9",boxdL:"\u2555",boxdR:"\u2552",boxh:"\u2500",boxhD:"\u2565",boxhU:"\u2568",boxhd:"\u252C",boxhu:"\u2534",boxuL:"\u255B",boxuR:"\u2558",boxv:"\u2502",boxvH:"\u256A",boxvL:"\u2561",boxvR:"\u255E",boxvh:"\u253C",boxvl:"\u2524",boxvr:"\u251C",bprime:"\u2035",breve:"\u02D8",brvbar:"\u00A6",bsemi:"\u204F",bsim:"\u223D",bsime:"\u22CD",bsolb:"\u29C5",bsolhsub:"\u005C\u2282",bullet:"\u2022",bump:"\u224E",bumpE:"\u2AAE",bumpe:"\u224F",bumpeq:"\u224F"});MathJax.Ajax.loadComplete(a.entityDir+"/b.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Barv:"\u2AE7",Barwed:"\u2306",Bcy:"\u0411",Bernoullis:"\u212C",Beta:"\u0392",Bumpeq:"\u224E",bNot:"\u2AED",backcong:"\u224C",backepsilon:"\u03F6",barvee:"\u22BD",barwed:"\u2305",barwedge:"\u2305",bbrk:"\u23B5",bbrktbrk:"\u23B6",bcong:"\u224C",bcy:"\u0431",bdquo:"\u201E",becaus:"\u2235",because:"\u2235",bemptyv:"\u29B0",bepsi:"\u03F6",bernou:"\u212C",bigcap:"\u22C2",bigcup:"\u22C3",bigvee:"\u22C1",bigwedge:"\u22C0",bkarow:"\u290D",blacksquare:"\u25AA",blacktriangleright:"\u25B8",blank:"\u2423",blk12:"\u2592",blk14:"\u2591",blk34:"\u2593",block:"\u2588",bne:"\u003D\u20E5",bnequiv:"\u2261\u20E5",bnot:"\u2310",bot:"\u22A5",bottom:"\u22A5",boxDL:"\u2557",boxDR:"\u2554",boxDl:"\u2556",boxDr:"\u2553",boxH:"\u2550",boxHD:"\u2566",boxHU:"\u2569",boxHd:"\u2564",boxHu:"\u2567",boxUL:"\u255D",boxUR:"\u255A",boxUl:"\u255C",boxUr:"\u2559",boxV:"\u2551",boxVH:"\u256C",boxVL:"\u2563",boxVR:"\u2560",boxVh:"\u256B",boxVl:"\u2562",boxVr:"\u255F",boxbox:"\u29C9",boxdL:"\u2555",boxdR:"\u2552",boxh:"\u2500",boxhD:"\u2565",boxhU:"\u2568",boxhd:"\u252C",boxhu:"\u2534",boxuL:"\u255B",boxuR:"\u2558",boxv:"\u2502",boxvH:"\u256A",boxvL:"\u2561",boxvR:"\u255E",boxvh:"\u253C",boxvl:"\u2524",boxvr:"\u251C",bprime:"\u2035",breve:"\u02D8",brvbar:"\u00A6",bsemi:"\u204F",bsim:"\u223D",bsime:"\u22CD",bsolb:"\u29C5",bsolhsub:"\u27C8",bullet:"\u2022",bump:"\u224E",bumpE:"\u2AAE",bumpe:"\u224F",bumpeq:"\u224F"});MathJax.Ajax.loadComplete(a.entityDir+"/b.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/c.js b/public/MathJax/jax/input/MathML/entities/c.js
index abd502ad..e5db378f 100644
--- a/public/MathJax/jax/input/MathML/entities/c.js
+++ b/public/MathJax/jax/input/MathML/entities/c.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{CHcy:"\u0427",Cacute:"\u0106",CapitalDifferentialD:"\u2145",Cayleys:"\u212D",Ccaron:"\u010C",Ccedil:"\u00C7",Ccirc:"\u0108",Cconint:"\u2230",Cdot:"\u010A",Cedilla:"\u00B8",ClockwiseContourIntegral:"\u2232",CloseCurlyDoubleQuote:"\u201D",CloseCurlyQuote:"\u2019",Colon:"\u2237",Colone:"\u2A74",Conint:"\u222F",CounterClockwiseContourIntegral:"\u2233",cacute:"\u0107",capand:"\u2A44",capbrcup:"\u2A49",capcap:"\u2A4B",capcup:"\u2A47",capdot:"\u2A40",caps:"\u2229\uFE00",caret:"\u2041",caron:"\u02C7",ccaps:"\u2A4D",ccaron:"\u010D",ccedil:"\u00E7",ccirc:"\u0109",ccups:"\u2A4C",ccupssm:"\u2A50",cdot:"\u010B",cedil:"\u00B8",cemptyv:"\u29B2",cent:"\u00A2",centerdot:"\u00B7",chcy:"\u0447",checkmark:"\u2713",cir:"\u25CB",cirE:"\u29C3",cire:"\u2257",cirfnint:"\u2A10",cirmid:"\u2AEF",cirscir:"\u29C2",clubsuit:"\u2663",colone:"\u2254",coloneq:"\u2254",comma:"\u002C",commat:"\u0040",compfn:"\u2218",complement:"\u2201",complexes:"\u2102",cong:"\u2245",congdot:"\u2A6D",conint:"\u222E",coprod:"\u2210",copy:"\u00A9",copysr:"\u2117",cross:"\u2717",csub:"\u2ACF",csube:"\u2AD1",csup:"\u2AD0",csupe:"\u2AD2",cudarrl:"\u2938",cudarrr:"\u2935",cularrp:"\u293D",cupbrcap:"\u2A48",cupcap:"\u2A46",cupcup:"\u2A4A",cupdot:"\u228D",cupor:"\u2A45",cups:"\u222A\uFE00",curarrm:"\u293C",curlyeqprec:"\u22DE",curlyeqsucc:"\u22DF",curren:"\u00A4",curvearrowleft:"\u21B6",curvearrowright:"\u21B7",cuvee:"\u22CE",cuwed:"\u22CF",cwconint:"\u2232",cwint:"\u2231",cylcty:"\u232D"});MathJax.Ajax.loadComplete(a.entityDir+"/c.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{CHcy:"\u0427",COPY:"\u00A9",Cacute:"\u0106",CapitalDifferentialD:"\u2145",Cayleys:"\u212D",Ccaron:"\u010C",Ccedil:"\u00C7",Ccirc:"\u0108",Cconint:"\u2230",Cdot:"\u010A",Cedilla:"\u00B8",Chi:"\u03A7",ClockwiseContourIntegral:"\u2232",CloseCurlyDoubleQuote:"\u201D",CloseCurlyQuote:"\u2019",Colon:"\u2237",Colone:"\u2A74",Conint:"\u222F",CounterClockwiseContourIntegral:"\u2233",cacute:"\u0107",capand:"\u2A44",capbrcup:"\u2A49",capcap:"\u2A4B",capcup:"\u2A47",capdot:"\u2A40",caps:"\u2229\uFE00",caret:"\u2041",caron:"\u02C7",ccaps:"\u2A4D",ccaron:"\u010D",ccedil:"\u00E7",ccirc:"\u0109",ccups:"\u2A4C",ccupssm:"\u2A50",cdot:"\u010B",cedil:"\u00B8",cemptyv:"\u29B2",cent:"\u00A2",centerdot:"\u00B7",chcy:"\u0447",checkmark:"\u2713",cir:"\u25CB",cirE:"\u29C3",cire:"\u2257",cirfnint:"\u2A10",cirmid:"\u2AEF",cirscir:"\u29C2",clubsuit:"\u2663",colone:"\u2254",coloneq:"\u2254",comma:"\u002C",commat:"\u0040",compfn:"\u2218",complement:"\u2201",complexes:"\u2102",cong:"\u2245",congdot:"\u2A6D",conint:"\u222E",coprod:"\u2210",copy:"\u00A9",copysr:"\u2117",crarr:"\u21B5",cross:"\u2717",csub:"\u2ACF",csube:"\u2AD1",csup:"\u2AD0",csupe:"\u2AD2",cudarrl:"\u2938",cudarrr:"\u2935",cularrp:"\u293D",cupbrcap:"\u2A48",cupcap:"\u2A46",cupcup:"\u2A4A",cupdot:"\u228D",cupor:"\u2A45",cups:"\u222A\uFE00",curarrm:"\u293C",curlyeqprec:"\u22DE",curlyeqsucc:"\u22DF",curren:"\u00A4",curvearrowleft:"\u21B6",curvearrowright:"\u21B7",cuvee:"\u22CE",cuwed:"\u22CF",cwconint:"\u2232",cwint:"\u2231",cylcty:"\u232D"});MathJax.Ajax.loadComplete(a.entityDir+"/c.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/e.js b/public/MathJax/jax/input/MathML/entities/e.js
index 375f7b9e..1ec4cfc5 100644
--- a/public/MathJax/jax/input/MathML/entities/e.js
+++ b/public/MathJax/jax/input/MathML/entities/e.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{ENG:"\u014A",ETH:"\u00D0",Eacute:"\u00C9",Ecaron:"\u011A",Ecirc:"\u00CA",Ecy:"\u042D",Edot:"\u0116",Egrave:"\u00C8",Emacr:"\u0112",EmptySmallSquare:"\u25FB",EmptyVerySmallSquare:"\u25AB",Eogon:"\u0118",Equal:"\u2A75",Esim:"\u2A73",Euml:"\u00CB",eDDot:"\u2A77",eDot:"\u2251",eacute:"\u00E9",easter:"\u2A6E",ecaron:"\u011B",ecirc:"\u00EA",ecolon:"\u2255",ecy:"\u044D",edot:"\u0117",ee:"\u2147",eg:"\u2A9A",egrave:"\u00E8",egsdot:"\u2A98",el:"\u2A99",elinters:"\uFFFD",elsdot:"\u2A97",emacr:"\u0113",emptyset:"\u2205",emptyv:"\u2205",emsp:"\u2003",emsp13:"\u2004",emsp14:"\u2005",eng:"\u014B",ensp:"\u2002",eogon:"\u0119",epar:"\u22D5",eparsl:"\u29E3",eplus:"\u2A71",eqcirc:"\u2256",eqcolon:"\u2255",eqsim:"\u2242",eqslantgtr:"\u2A96",eqslantless:"\u2A95",equals:"\u003D",equest:"\u225F",equiv:"\u2261",equivDD:"\u2A78",eqvparsl:"\u29E5",erarr:"\u2971",esdot:"\u2250",esim:"\u2242",euml:"\u00EB",excl:"\u0021",exist:"\u2203",expectation:"\u2130",exponentiale:"\u2147"});MathJax.Ajax.loadComplete(a.entityDir+"/e.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{ENG:"\u014A",ETH:"\u00D0",Eacute:"\u00C9",Ecaron:"\u011A",Ecirc:"\u00CA",Ecy:"\u042D",Edot:"\u0116",Egrave:"\u00C8",Emacr:"\u0112",EmptySmallSquare:"\u25FB",EmptyVerySmallSquare:"\u25AB",Eogon:"\u0118",Epsilon:"\u0395",Equal:"\u2A75",Esim:"\u2A73",Eta:"\u0397",Euml:"\u00CB",eDDot:"\u2A77",eDot:"\u2251",eacute:"\u00E9",easter:"\u2A6E",ecaron:"\u011B",ecirc:"\u00EA",ecolon:"\u2255",ecy:"\u044D",edot:"\u0117",ee:"\u2147",eg:"\u2A9A",egrave:"\u00E8",egsdot:"\u2A98",el:"\u2A99",elinters:"\u23E7",elsdot:"\u2A97",emacr:"\u0113",emptyset:"\u2205",emptyv:"\u2205",emsp:"\u2003",emsp13:"\u2004",emsp14:"\u2005",eng:"\u014B",ensp:"\u2002",eogon:"\u0119",epar:"\u22D5",eparsl:"\u29E3",eplus:"\u2A71",epsilon:"\u03B5",eqcirc:"\u2256",eqcolon:"\u2255",eqsim:"\u2242",eqslantgtr:"\u2A96",eqslantless:"\u2A95",equals:"\u003D",equest:"\u225F",equiv:"\u2261",equivDD:"\u2A78",eqvparsl:"\u29E5",erarr:"\u2971",esdot:"\u2250",esim:"\u2242",euml:"\u00EB",euro:"\u20AC",excl:"\u0021",exist:"\u2203",expectation:"\u2130",exponentiale:"\u2147"});MathJax.Ajax.loadComplete(a.entityDir+"/e.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/f.js b/public/MathJax/jax/input/MathML/entities/f.js
index 1269844a..211c8b96 100644
--- a/public/MathJax/jax/input/MathML/entities/f.js
+++ b/public/MathJax/jax/input/MathML/entities/f.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Fcy:"\u0424",FilledSmallSquare:"\u25FC",Fouriertrf:"\u2131",fallingdotseq:"\u2252",fcy:"\u0444",female:"\u2640",ffilig:"\uFB03",fflig:"\uFB00",ffllig:"\uFB04",filig:"\uFB01",fllig:"\uFB02",fltns:"\u25B1",fnof:"\u0192",forall:"\u2200",forkv:"\u2AD9",fpartint:"\u2A0D",frac12:"\u00BD",frac13:"\u2153",frac14:"\u00BC",frac15:"\u2155",frac16:"\u2159",frac18:"\u215B",frac23:"\u2154",frac25:"\u2156",frac34:"\u00BE",frac35:"\u2157",frac38:"\u215C",frac45:"\u2158",frac56:"\u215A",frac58:"\u215D",frac78:"\u215E"});MathJax.Ajax.loadComplete(a.entityDir+"/f.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Fcy:"\u0424",FilledSmallSquare:"\u25FC",Fouriertrf:"\u2131",fallingdotseq:"\u2252",fcy:"\u0444",female:"\u2640",ffilig:"\uFB03",fflig:"\uFB00",ffllig:"\uFB04",filig:"\uFB01",fjlig:"\u0066\u006A",fllig:"\uFB02",fltns:"\u25B1",fnof:"\u0192",forall:"\u2200",forkv:"\u2AD9",fpartint:"\u2A0D",frac12:"\u00BD",frac13:"\u2153",frac14:"\u00BC",frac15:"\u2155",frac16:"\u2159",frac18:"\u215B",frac23:"\u2154",frac25:"\u2156",frac34:"\u00BE",frac35:"\u2157",frac38:"\u215C",frac45:"\u2158",frac56:"\u215A",frac58:"\u215D",frac78:"\u215E",frasl:"\u2044"});MathJax.Ajax.loadComplete(a.entityDir+"/f.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/g.js b/public/MathJax/jax/input/MathML/entities/g.js
index d665342a..48be18a2 100644
--- a/public/MathJax/jax/input/MathML/entities/g.js
+++ b/public/MathJax/jax/input/MathML/entities/g.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{GJcy:"\u0403",Gammad:"\u03DC",Gbreve:"\u011E",Gcedil:"\u0122",Gcirc:"\u011C",Gcy:"\u0413",Gdot:"\u0120",GreaterGreater:"\u2AA2",Gt:"\u226B",gE:"\u2267",gacute:"\u01F5",gammad:"\u03DD",gbreve:"\u011F",gcirc:"\u011D",gcy:"\u0433",gdot:"\u0121",ge:"\u2265",gel:"\u22DB",geq:"\u2265",geqq:"\u2267",geqslant:"\u2A7E",ges:"\u2A7E",gescc:"\u2AA9",gesdot:"\u2A80",gesdoto:"\u2A82",gesdotol:"\u2A84",gesl:"\u22DB\uFE00",gesles:"\u2A94",gg:"\u226B",ggg:"\u22D9",gjcy:"\u0453",gl:"\u2277",glE:"\u2A92",gla:"\u2AA5",glj:"\u2AA4",gnapprox:"\u2A8A",gneq:"\u2A88",gneqq:"\u2269",grave:"\u0060",gsim:"\u2273",gsime:"\u2A8E",gsiml:"\u2A90",gtcc:"\u2AA7",gtcir:"\u2A7A",gtlPar:"\u2995",gtquest:"\u2A7C",gtrapprox:"\u2A86",gtrarr:"\u2978",gtrdot:"\u22D7",gtreqless:"\u22DB",gtreqqless:"\u2A8C",gtrless:"\u2277",gtrsim:"\u2273",gvertneqq:"\u2269\uFE00",gvnE:"\u2269\uFE00"});MathJax.Ajax.loadComplete(a.entityDir+"/g.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{GJcy:"\u0403",GT:"\u003E",Gammad:"\u03DC",Gbreve:"\u011E",Gcedil:"\u0122",Gcirc:"\u011C",Gcy:"\u0413",Gdot:"\u0120",GreaterGreater:"\u2AA2",Gt:"\u226B",gE:"\u2267",gacute:"\u01F5",gammad:"\u03DD",gbreve:"\u011F",gcirc:"\u011D",gcy:"\u0433",gdot:"\u0121",ge:"\u2265",gel:"\u22DB",geq:"\u2265",geqq:"\u2267",geqslant:"\u2A7E",ges:"\u2A7E",gescc:"\u2AA9",gesdot:"\u2A80",gesdoto:"\u2A82",gesdotol:"\u2A84",gesl:"\u22DB\uFE00",gesles:"\u2A94",gg:"\u226B",ggg:"\u22D9",gjcy:"\u0453",gl:"\u2277",glE:"\u2A92",gla:"\u2AA5",glj:"\u2AA4",gnapprox:"\u2A8A",gneq:"\u2A88",gneqq:"\u2269",grave:"\u0060",gsim:"\u2273",gsime:"\u2A8E",gsiml:"\u2A90",gtcc:"\u2AA7",gtcir:"\u2A7A",gtlPar:"\u2995",gtquest:"\u2A7C",gtrapprox:"\u2A86",gtrarr:"\u2978",gtrdot:"\u22D7",gtreqless:"\u22DB",gtreqqless:"\u2A8C",gtrless:"\u2277",gtrsim:"\u2273",gvertneqq:"\u2269\uFE00",gvnE:"\u2269\uFE00"});MathJax.Ajax.loadComplete(a.entityDir+"/g.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/i.js b/public/MathJax/jax/input/MathML/entities/i.js
index 572f76be..6b4e1c67 100644
--- a/public/MathJax/jax/input/MathML/entities/i.js
+++ b/public/MathJax/jax/input/MathML/entities/i.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{IEcy:"\u0415",IJlig:"\u0132",IOcy:"\u0401",Iacute:"\u00CD",Icirc:"\u00CE",Icy:"\u0418",Idot:"\u0130",Igrave:"\u00CC",Imacr:"\u012A",Implies:"\u21D2",Int:"\u222C",Iogon:"\u012E",Itilde:"\u0128",Iukcy:"\u0406",Iuml:"\u00CF",iacute:"\u00ED",ic:"\u2063",icirc:"\u00EE",icy:"\u0438",iecy:"\u0435",iexcl:"\u00A1",iff:"\u21D4",igrave:"\u00EC",ii:"\u2148",iiiint:"\u2A0C",iiint:"\u222D",iinfin:"\u29DC",iiota:"\u2129",ijlig:"\u0133",imacr:"\u012B",image:"\u2111",imagline:"\u2110",imagpart:"\u2111",imof:"\u22B7",imped:"\u01B5","in":"\u2208",incare:"\u2105",infintie:"\u29DD",inodot:"\u0131","int":"\u222B",integers:"\u2124",intercal:"\u22BA",intlarhk:"\u2A17",intprod:"\u2A3C",iocy:"\u0451",iogon:"\u012F",iprod:"\u2A3C",iquest:"\u00BF",isin:"\u2208",isinE:"\u22F9",isindot:"\u22F5",isins:"\u22F4",isinsv:"\u22F3",isinv:"\u2208",it:"\u2062",itilde:"\u0129",iukcy:"\u0456",iuml:"\u00EF"});MathJax.Ajax.loadComplete(a.entityDir+"/i.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{IEcy:"\u0415",IJlig:"\u0132",IOcy:"\u0401",Iacute:"\u00CD",Icirc:"\u00CE",Icy:"\u0418",Idot:"\u0130",Igrave:"\u00CC",Imacr:"\u012A",Implies:"\u21D2",Int:"\u222C",Iogon:"\u012E",Iota:"\u0399",Itilde:"\u0128",Iukcy:"\u0406",Iuml:"\u00CF",iacute:"\u00ED",ic:"\u2063",icirc:"\u00EE",icy:"\u0438",iecy:"\u0435",iexcl:"\u00A1",iff:"\u21D4",igrave:"\u00EC",ii:"\u2148",iiiint:"\u2A0C",iiint:"\u222D",iinfin:"\u29DC",iiota:"\u2129",ijlig:"\u0133",imacr:"\u012B",image:"\u2111",imagline:"\u2110",imagpart:"\u2111",imof:"\u22B7",imped:"\u01B5","in":"\u2208",incare:"\u2105",infintie:"\u29DD",inodot:"\u0131","int":"\u222B",integers:"\u2124",intercal:"\u22BA",intlarhk:"\u2A17",intprod:"\u2A3C",iocy:"\u0451",iogon:"\u012F",iprod:"\u2A3C",iquest:"\u00BF",isin:"\u2208",isinE:"\u22F9",isindot:"\u22F5",isins:"\u22F4",isinsv:"\u22F3",isinv:"\u2208",it:"\u2062",itilde:"\u0129",iukcy:"\u0456",iuml:"\u00EF"});MathJax.Ajax.loadComplete(a.entityDir+"/i.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/j.js b/public/MathJax/jax/input/MathML/entities/j.js
index 1a70234f..b66dac04 100644
--- a/public/MathJax/jax/input/MathML/entities/j.js
+++ b/public/MathJax/jax/input/MathML/entities/j.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Jcirc:"\u0134",Jcy:"\u0419",Jsercy:"\u0408",Jukcy:"\u0404",jcirc:"\u0135",jcy:"\u0439",jmath:"\u006A",jsercy:"\u0458",jukcy:"\u0454"});MathJax.Ajax.loadComplete(a.entityDir+"/j.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Jcirc:"\u0134",Jcy:"\u0419",Jsercy:"\u0408",Jukcy:"\u0404",jcirc:"\u0135",jcy:"\u0439",jsercy:"\u0458",jukcy:"\u0454"});MathJax.Ajax.loadComplete(a.entityDir+"/j.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/k.js b/public/MathJax/jax/input/MathML/entities/k.js
index e9bbe859..1b66ebd6 100644
--- a/public/MathJax/jax/input/MathML/entities/k.js
+++ b/public/MathJax/jax/input/MathML/entities/k.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{KHcy:"\u0425",KJcy:"\u040C",Kcedil:"\u0136",Kcy:"\u041A",kcedil:"\u0137",kcy:"\u043A",kgreen:"\u0138",khcy:"\u0445",kjcy:"\u045C"});MathJax.Ajax.loadComplete(a.entityDir+"/k.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{KHcy:"\u0425",KJcy:"\u040C",Kappa:"\u039A",Kcedil:"\u0136",Kcy:"\u041A",kcedil:"\u0137",kcy:"\u043A",kgreen:"\u0138",khcy:"\u0445",kjcy:"\u045C"});MathJax.Ajax.loadComplete(a.entityDir+"/k.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/l.js b/public/MathJax/jax/input/MathML/entities/l.js
index bf8ccfcb..efc168d8 100644
--- a/public/MathJax/jax/input/MathML/entities/l.js
+++ b/public/MathJax/jax/input/MathML/entities/l.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{LJcy:"\u0409",Lacute:"\u0139",Lang:"\u300A",Laplacetrf:"\u2112",Lcaron:"\u013D",Lcedil:"\u013B",Lcy:"\u041B",LeftArrowBar:"\u21E4",LeftDoubleBracket:"\u301A",LeftDownTeeVector:"\u2961",LeftDownVectorBar:"\u2959",LeftRightVector:"\u294E",LeftTeeArrow:"\u21A4",LeftTeeVector:"\u295A",LeftTriangleBar:"\u29CF",LeftUpDownVector:"\u2951",LeftUpTeeVector:"\u2960",LeftUpVectorBar:"\u2958",LeftVectorBar:"\u2952",LessLess:"\u2AA1",Lmidot:"\u013F",LowerLeftArrow:"\u2199",LowerRightArrow:"\u2198",Lstrok:"\u0141",Lt:"\u226A",lAarr:"\u21DA",lArr:"\u21D0",lAtail:"\u291B",lBarr:"\u290E",lE:"\u2266",lHar:"\u2962",lacute:"\u013A",laemptyv:"\u29B4",lagran:"\u2112",lang:"\u2329",langd:"\u2991",langle:"\u2329",laquo:"\u00AB",larr:"\u2190",larrb:"\u21E4",larrbfs:"\u291F",larrfs:"\u291D",larrhk:"\u21A9",larrpl:"\u2939",larrsim:"\u2973",lat:"\u2AAB",latail:"\u2919",late:"\u2AAD",lates:"\u2AAD\uFE00",lbarr:"\u290C",lbbrk:"\u3014",lbrke:"\u298B",lbrksld:"\u298F",lbrkslu:"\u298D",lcaron:"\u013E",lcedil:"\u013C",lceil:"\u2308",lcub:"\u007B",lcy:"\u043B",ldca:"\u2936",ldquo:"\u201C",ldquor:"\u201E",ldrdhar:"\u2967",ldrushar:"\u294B",ldsh:"\u21B2",leftarrow:"\u2190",leftarrowtail:"\u21A2",leftharpoondown:"\u21BD",leftharpoonup:"\u21BC",leftrightarrow:"\u2194",leftrightarrows:"\u21C6",leftrightharpoons:"\u21CB",leftrightsquigarrow:"\u21AD",leg:"\u22DA",leq:"\u2264",leqq:"\u2266",leqslant:"\u2A7D",les:"\u2A7D",lescc:"\u2AA8",lesdot:"\u2A7F",lesdoto:"\u2A81",lesdotor:"\u2A83",lesg:"\u22DA\uFE00",lesges:"\u2A93",lessapprox:"\u2A85",lesseqgtr:"\u22DA",lesseqqgtr:"\u2A8B",lessgtr:"\u2276",lesssim:"\u2272",lfisht:"\u297C",lfloor:"\u230A",lg:"\u2276",lgE:"\u2A91",lhard:"\u21BD",lharu:"\u21BC",lharul:"\u296A",lhblk:"\u2584",ljcy:"\u0459",ll:"\u226A",llarr:"\u21C7",llcorner:"\u231E",llhard:"\u296B",lltri:"\u25FA",lmidot:"\u0140",lmoustache:"\u23B0",lnapprox:"\u2A89",lneq:"\u2A87",lneqq:"\u2268",loang:"\u3018",loarr:"\u21FD",lobrk:"\u301A",longleftarrow:"\u27F5",longleftrightarrow:"\u27F7",longrightarrow:"\u27F6",looparrowleft:"\u21AB",lopar:"\u2985",loplus:"\u2A2D",lotimes:"\u2A34",lozenge:"\u25CA",lozf:"\u29EB",lpar:"\u0028",lparlt:"\u2993",lrarr:"\u21C6",lrcorner:"\u231F",lrhar:"\u21CB",lrhard:"\u296D",lrtri:"\u22BF",lsh:"\u21B0",lsim:"\u2272",lsime:"\u2A8D",lsimg:"\u2A8F",lsqb:"\u005B",lsquo:"\u2018",lsquor:"\u201A",lstrok:"\u0142",ltcc:"\u2AA6",ltcir:"\u2A79",ltdot:"\u22D6",lthree:"\u22CB",ltlarr:"\u2976",ltquest:"\u2A7B",ltrPar:"\u2996",ltrie:"\u22B4",ltrif:"\u25C2",lurdshar:"\u294A",luruhar:"\u2966",lvertneqq:"\u2268\uFE00",lvnE:"\u2268\uFE00"});MathJax.Ajax.loadComplete(a.entityDir+"/l.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{LJcy:"\u0409",LT:"\u003C",Lacute:"\u0139",Lang:"\u27EA",Laplacetrf:"\u2112",Lcaron:"\u013D",Lcedil:"\u013B",Lcy:"\u041B",LeftArrowBar:"\u21E4",LeftDoubleBracket:"\u27E6",LeftDownTeeVector:"\u2961",LeftDownVectorBar:"\u2959",LeftRightVector:"\u294E",LeftTeeArrow:"\u21A4",LeftTeeVector:"\u295A",LeftTriangleBar:"\u29CF",LeftUpDownVector:"\u2951",LeftUpTeeVector:"\u2960",LeftUpVectorBar:"\u2958",LeftVectorBar:"\u2952",LessLess:"\u2AA1",Lmidot:"\u013F",LowerLeftArrow:"\u2199",LowerRightArrow:"\u2198",Lstrok:"\u0141",Lt:"\u226A",lAarr:"\u21DA",lArr:"\u21D0",lAtail:"\u291B",lBarr:"\u290E",lE:"\u2266",lHar:"\u2962",lacute:"\u013A",laemptyv:"\u29B4",lagran:"\u2112",lang:"\u27E8",langd:"\u2991",langle:"\u27E8",laquo:"\u00AB",larr:"\u2190",larrb:"\u21E4",larrbfs:"\u291F",larrfs:"\u291D",larrhk:"\u21A9",larrpl:"\u2939",larrsim:"\u2973",lat:"\u2AAB",latail:"\u2919",late:"\u2AAD",lates:"\u2AAD\uFE00",lbarr:"\u290C",lbbrk:"\u2772",lbrke:"\u298B",lbrksld:"\u298F",lbrkslu:"\u298D",lcaron:"\u013E",lcedil:"\u013C",lceil:"\u2308",lcub:"\u007B",lcy:"\u043B",ldca:"\u2936",ldquo:"\u201C",ldquor:"\u201E",ldrdhar:"\u2967",ldrushar:"\u294B",ldsh:"\u21B2",leftarrow:"\u2190",leftarrowtail:"\u21A2",leftharpoondown:"\u21BD",leftharpoonup:"\u21BC",leftrightarrow:"\u2194",leftrightarrows:"\u21C6",leftrightharpoons:"\u21CB",leftrightsquigarrow:"\u21AD",leg:"\u22DA",leq:"\u2264",leqq:"\u2266",leqslant:"\u2A7D",les:"\u2A7D",lescc:"\u2AA8",lesdot:"\u2A7F",lesdoto:"\u2A81",lesdotor:"\u2A83",lesg:"\u22DA\uFE00",lesges:"\u2A93",lessapprox:"\u2A85",lesseqgtr:"\u22DA",lesseqqgtr:"\u2A8B",lessgtr:"\u2276",lesssim:"\u2272",lfisht:"\u297C",lfloor:"\u230A",lg:"\u2276",lgE:"\u2A91",lhard:"\u21BD",lharu:"\u21BC",lharul:"\u296A",lhblk:"\u2584",ljcy:"\u0459",ll:"\u226A",llarr:"\u21C7",llcorner:"\u231E",llhard:"\u296B",lltri:"\u25FA",lmidot:"\u0140",lmoustache:"\u23B0",lnapprox:"\u2A89",lneq:"\u2A87",lneqq:"\u2268",loang:"\u27EC",loarr:"\u21FD",lobrk:"\u27E6",longleftarrow:"\u27F5",longleftrightarrow:"\u27F7",longrightarrow:"\u27F6",looparrowleft:"\u21AB",lopar:"\u2985",loplus:"\u2A2D",lotimes:"\u2A34",lowbar:"\u005F",lozenge:"\u25CA",lozf:"\u29EB",lpar:"\u0028",lparlt:"\u2993",lrarr:"\u21C6",lrcorner:"\u231F",lrhar:"\u21CB",lrhard:"\u296D",lrm:"\u200E",lrtri:"\u22BF",lsaquo:"\u2039",lsh:"\u21B0",lsim:"\u2272",lsime:"\u2A8D",lsimg:"\u2A8F",lsqb:"\u005B",lsquo:"\u2018",lsquor:"\u201A",lstrok:"\u0142",ltcc:"\u2AA6",ltcir:"\u2A79",ltdot:"\u22D6",lthree:"\u22CB",ltlarr:"\u2976",ltquest:"\u2A7B",ltrPar:"\u2996",ltrie:"\u22B4",ltrif:"\u25C2",lurdshar:"\u294A",luruhar:"\u2966",lvertneqq:"\u2268\uFE00",lvnE:"\u2268\uFE00"});MathJax.Ajax.loadComplete(a.entityDir+"/l.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/m.js b/public/MathJax/jax/input/MathML/entities/m.js
index 7969b621..764851bc 100644
--- a/public/MathJax/jax/input/MathML/entities/m.js
+++ b/public/MathJax/jax/input/MathML/entities/m.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Map:"\u2905",Mcy:"\u041C",MediumSpace:"\u205F",Mellintrf:"\u2133",mDDot:"\u223A",macr:"\u00AF",male:"\u2642",maltese:"\u2720",map:"\u21A6",mapsto:"\u21A6",mapstodown:"\u21A7",mapstoleft:"\u21A4",mapstoup:"\u21A5",marker:"\u25AE",mcomma:"\u2A29",mcy:"\u043C",mdash:"\u2014",measuredangle:"\u2221",micro:"\u00B5",mid:"\u2223",midast:"\u002A",midcir:"\u2AF0",middot:"\u00B7",minus:"\u2212",minusb:"\u229F",minusd:"\u2238",minusdu:"\u2A2A",mlcp:"\u2ADB",mldr:"\u2026",mnplus:"\u2213",models:"\u22A7",mp:"\u2213",mstpos:"\u223E",mumap:"\u22B8"});MathJax.Ajax.loadComplete(a.entityDir+"/m.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Map:"\u2905",Mcy:"\u041C",MediumSpace:"\u205F",Mellintrf:"\u2133",Mu:"\u039C",mDDot:"\u223A",male:"\u2642",maltese:"\u2720",map:"\u21A6",mapsto:"\u21A6",mapstodown:"\u21A7",mapstoleft:"\u21A4",mapstoup:"\u21A5",marker:"\u25AE",mcomma:"\u2A29",mcy:"\u043C",mdash:"\u2014",measuredangle:"\u2221",micro:"\u00B5",mid:"\u2223",midast:"\u002A",midcir:"\u2AF0",middot:"\u00B7",minus:"\u2212",minusb:"\u229F",minusd:"\u2238",minusdu:"\u2A2A",mlcp:"\u2ADB",mldr:"\u2026",mnplus:"\u2213",models:"\u22A7",mp:"\u2213",mstpos:"\u223E",mumap:"\u22B8"});MathJax.Ajax.loadComplete(a.entityDir+"/m.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/n.js b/public/MathJax/jax/input/MathML/entities/n.js
index 719ed0ad..2c674a19 100644
--- a/public/MathJax/jax/input/MathML/entities/n.js
+++ b/public/MathJax/jax/input/MathML/entities/n.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{NJcy:"\u040A",Nacute:"\u0143",Ncaron:"\u0147",Ncedil:"\u0145",Ncy:"\u041D",NegativeMediumSpace:"\u200B",NegativeThickSpace:"\u200B",NegativeThinSpace:"\u200B",NegativeVeryThinSpace:"\u200B",NewLine:"\u000A",NoBreak:"\u2060",NonBreakingSpace:"\u00A0",Not:"\u2AEC",NotCongruent:"\u2262",NotCupCap:"\u226D",NotEqualTilde:"\u2242\u0338",NotGreaterFullEqual:"\u2266\u0338",NotGreaterGreater:"\u226B\u0338",NotGreaterLess:"\u2279",NotGreaterSlantEqual:"\u2A7E\u0338",NotGreaterTilde:"\u2275",NotHumpDownHump:"\u224E\u0338",NotHumpEqual:"\u224F\u0338",NotLeftTriangleBar:"\u29CF\u0338",NotLessGreater:"\u2278",NotLessLess:"\u226A\u0338",NotLessSlantEqual:"\u2A7D\u0338",NotLessTilde:"\u2274",NotNestedGreaterGreater:"\u2AA2\u0338",NotNestedLessLess:"\u2AA1\u0338",NotPrecedesEqual:"\u2AAF\u0338",NotReverseElement:"\u220C",NotRightTriangleBar:"\u29D0\u0338",NotSquareSubset:"\u228F\u0338",NotSquareSubsetEqual:"\u22E2",NotSquareSuperset:"\u2290\u0338",NotSquareSupersetEqual:"\u22E3",NotSubset:"\u2282\u20D2",NotSucceedsEqual:"\u2AB0\u0338",NotSucceedsTilde:"\u227F\u0338",NotSuperset:"\u2283\u20D2",NotTildeEqual:"\u2244",NotTildeFullEqual:"\u2247",NotTildeTilde:"\u2249",Ntilde:"\u00D1",nGg:"\u22D9\u0338",nGt:"\u226B\u20D2",nGtv:"\u226B\u0338",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nLl:"\u22D8\u0338",nLt:"\u226A\u20D2",nLtv:"\u226A\u0338",nRightarrow:"\u21CF",nabla:"\u2207",nacute:"\u0144",nang:"\u2220\u20D2",nap:"\u2249",napE:"\u2A70\u0338",napid:"\u224B\u0338",napos:"\u0149",napprox:"\u2249",natural:"\u266E",naturals:"\u2115",nbsp:"\u00A0",nbump:"\u224E\u0338",nbumpe:"\u224F\u0338",ncap:"\u2A43",ncaron:"\u0148",ncedil:"\u0146",ncong:"\u2247",ncongdot:"\u2A6D\u0338",ncup:"\u2A42",ncy:"\u043D",ndash:"\u2013",ne:"\u2260",neArr:"\u21D7",nearhk:"\u2924",nearrow:"\u2197",nedot:"\u2250\u0338",nequiv:"\u2262",nesear:"\u2928",nesim:"\u2242\u0338",nexist:"\u2204",nexists:"\u2204",ngE:"\u2267\u0338",nge:"\u2271",ngeq:"\u2271",ngeqq:"\u2267\u0338",ngeqslant:"\u2A7E\u0338",nges:"\u2A7E\u0338",ngsim:"\u2275",ngt:"\u226F",ngtr:"\u226F",nhpar:"\u2AF2",ni:"\u220B",nis:"\u22FC",nisd:"\u22FA",niv:"\u220B",njcy:"\u045A",nlE:"\u2266\u0338",nldr:"\u2025",nle:"\u2270",nleftarrow:"\u219A",nleftrightarrow:"\u21AE",nleq:"\u2270",nleqq:"\u2266\u0338",nleqslant:"\u2A7D\u0338",nles:"\u2A7D\u0338",nless:"\u226E",nlsim:"\u2274",nlt:"\u226E",nltri:"\u22EA",nltrie:"\u22EC",nmid:"\u2224",notin:"\u2209",notinE:"\u22F9\u0338",notindot:"\u22F5\u0338",notinva:"\u2209",notinvb:"\u22F7",notinvc:"\u22F6",notni:"\u220C",notniva:"\u220C",notnivb:"\u22FE",notnivc:"\u22FD",npar:"\u2226",nparallel:"\u2226",nparsl:"\u2AFD\u20E5",npart:"\u2202\u0338",npolint:"\u2A14",npr:"\u2280",nprcue:"\u22E0",npre:"\u2AAF\u0338",nprec:"\u2280",npreceq:"\u2AAF\u0338",nrarrc:"\u2933\u0338",nrarrw:"\u219D\u0338",nrightarrow:"\u219B",nrtri:"\u22EB",nrtrie:"\u22ED",nsc:"\u2281",nsccue:"\u22E1",nsce:"\u2AB0\u0338",nshortmid:"\u2224",nshortparallel:"\u2226",nsim:"\u2241",nsime:"\u2244",nsimeq:"\u2244",nsmid:"\u2224",nspar:"\u2226",nsqsube:"\u22E2",nsqsupe:"\u22E3",nsub:"\u2284",nsubE:"\u2AC5\u0338",nsube:"\u2288",nsubset:"\u2282\u20D2",nsubseteq:"\u2288",nsubseteqq:"\u2AC5\u0338",nsucc:"\u2281",nsucceq:"\u2AB0\u0338",nsup:"\u2285",nsupE:"\u2AC6\u0338",nsupe:"\u2289",nsupset:"\u2283\u20D2",nsupseteq:"\u2289",nsupseteqq:"\u2AC6\u0338",ntgl:"\u2279",ntilde:"\u00F1",ntlg:"\u2278",ntriangleleft:"\u22EA",ntrianglelefteq:"\u22EC",ntriangleright:"\u22EB",ntrianglerighteq:"\u22ED",num:"\u0023",numero:"\u2116",numsp:"\u2007",nvHarr:"\u2904",nvap:"\u224D\u20D2",nvge:"\u2265\u20D2",nvgt:"\u003E\u20D2",nvinfin:"\u29DE",nvlArr:"\u2902",nvle:"\u2264\u20D2",nvlt:"\u003C\u20D2",nvltrie:"\u22B4\u20D2",nvrArr:"\u2903",nvrtrie:"\u22B5\u20D2",nvsim:"\u223C\u20D2",nwArr:"\u21D6",nwarhk:"\u2923",nwarrow:"\u2196",nwnear:"\u2927"});MathJax.Ajax.loadComplete(a.entityDir+"/n.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{NJcy:"\u040A",Nacute:"\u0143",Ncaron:"\u0147",Ncedil:"\u0145",Ncy:"\u041D",NegativeMediumSpace:"\u200B",NegativeThickSpace:"\u200B",NegativeThinSpace:"\u200B",NegativeVeryThinSpace:"\u200B",NewLine:"\u000A",NoBreak:"\u2060",NonBreakingSpace:"\u00A0",Not:"\u2AEC",NotCongruent:"\u2262",NotCupCap:"\u226D",NotEqualTilde:"\u2242\u0338",NotGreaterFullEqual:"\u2267\u0338",NotGreaterGreater:"\u226B\u0338",NotGreaterLess:"\u2279",NotGreaterSlantEqual:"\u2A7E\u0338",NotGreaterTilde:"\u2275",NotHumpDownHump:"\u224E\u0338",NotHumpEqual:"\u224F\u0338",NotLeftTriangleBar:"\u29CF\u0338",NotLessGreater:"\u2278",NotLessLess:"\u226A\u0338",NotLessSlantEqual:"\u2A7D\u0338",NotLessTilde:"\u2274",NotNestedGreaterGreater:"\u2AA2\u0338",NotNestedLessLess:"\u2AA1\u0338",NotPrecedesEqual:"\u2AAF\u0338",NotReverseElement:"\u220C",NotRightTriangleBar:"\u29D0\u0338",NotSquareSubset:"\u228F\u0338",NotSquareSubsetEqual:"\u22E2",NotSquareSuperset:"\u2290\u0338",NotSquareSupersetEqual:"\u22E3",NotSubset:"\u2282\u20D2",NotSucceedsEqual:"\u2AB0\u0338",NotSucceedsTilde:"\u227F\u0338",NotSuperset:"\u2283\u20D2",NotTildeEqual:"\u2244",NotTildeFullEqual:"\u2247",NotTildeTilde:"\u2249",Ntilde:"\u00D1",Nu:"\u039D",nGg:"\u22D9\u0338",nGt:"\u226B\u20D2",nGtv:"\u226B\u0338",nLl:"\u22D8\u0338",nLt:"\u226A\u20D2",nLtv:"\u226A\u0338",nabla:"\u2207",nacute:"\u0144",nang:"\u2220\u20D2",nap:"\u2249",napE:"\u2A70\u0338",napid:"\u224B\u0338",napos:"\u0149",napprox:"\u2249",natural:"\u266E",naturals:"\u2115",nbsp:"\u00A0",nbump:"\u224E\u0338",nbumpe:"\u224F\u0338",ncap:"\u2A43",ncaron:"\u0148",ncedil:"\u0146",ncong:"\u2247",ncongdot:"\u2A6D\u0338",ncup:"\u2A42",ncy:"\u043D",ndash:"\u2013",ne:"\u2260",neArr:"\u21D7",nearhk:"\u2924",nearrow:"\u2197",nedot:"\u2250\u0338",nequiv:"\u2262",nesear:"\u2928",nesim:"\u2242\u0338",nexist:"\u2204",nexists:"\u2204",ngE:"\u2267\u0338",nge:"\u2271",ngeq:"\u2271",ngeqq:"\u2267\u0338",ngeqslant:"\u2A7E\u0338",nges:"\u2A7E\u0338",ngsim:"\u2275",ngt:"\u226F",ngtr:"\u226F",nhArr:"\u21CE",nhpar:"\u2AF2",ni:"\u220B",nis:"\u22FC",nisd:"\u22FA",niv:"\u220B",njcy:"\u045A",nlArr:"\u21CD",nlE:"\u2266\u0338",nldr:"\u2025",nle:"\u2270",nleftarrow:"\u219A",nleftrightarrow:"\u21AE",nleq:"\u2270",nleqq:"\u2266\u0338",nleqslant:"\u2A7D\u0338",nles:"\u2A7D\u0338",nless:"\u226E",nlsim:"\u2274",nlt:"\u226E",nltri:"\u22EA",nltrie:"\u22EC",nmid:"\u2224",notin:"\u2209",notinE:"\u22F9\u0338",notindot:"\u22F5\u0338",notinva:"\u2209",notinvb:"\u22F7",notinvc:"\u22F6",notni:"\u220C",notniva:"\u220C",notnivb:"\u22FE",notnivc:"\u22FD",npar:"\u2226",nparallel:"\u2226",nparsl:"\u2AFD\u20E5",npart:"\u2202\u0338",npolint:"\u2A14",npr:"\u2280",nprcue:"\u22E0",npre:"\u2AAF\u0338",nprec:"\u2280",npreceq:"\u2AAF\u0338",nrArr:"\u21CF",nrarrc:"\u2933\u0338",nrarrw:"\u219D\u0338",nrightarrow:"\u219B",nrtri:"\u22EB",nrtrie:"\u22ED",nsc:"\u2281",nsccue:"\u22E1",nsce:"\u2AB0\u0338",nshortmid:"\u2224",nshortparallel:"\u2226",nsim:"\u2241",nsime:"\u2244",nsimeq:"\u2244",nsmid:"\u2224",nspar:"\u2226",nsqsube:"\u22E2",nsqsupe:"\u22E3",nsub:"\u2284",nsubE:"\u2AC5\u0338",nsube:"\u2288",nsubset:"\u2282\u20D2",nsubseteq:"\u2288",nsubseteqq:"\u2AC5\u0338",nsucc:"\u2281",nsucceq:"\u2AB0\u0338",nsup:"\u2285",nsupE:"\u2AC6\u0338",nsupe:"\u2289",nsupset:"\u2283\u20D2",nsupseteq:"\u2289",nsupseteqq:"\u2AC6\u0338",ntgl:"\u2279",ntilde:"\u00F1",ntlg:"\u2278",ntriangleleft:"\u22EA",ntrianglelefteq:"\u22EC",ntriangleright:"\u22EB",ntrianglerighteq:"\u22ED",num:"\u0023",numero:"\u2116",numsp:"\u2007",nvHarr:"\u2904",nvap:"\u224D\u20D2",nvge:"\u2265\u20D2",nvgt:"\u003E\u20D2",nvinfin:"\u29DE",nvlArr:"\u2902",nvle:"\u2264\u20D2",nvlt:"\u003C\u20D2",nvltrie:"\u22B4\u20D2",nvrArr:"\u2903",nvrtrie:"\u22B5\u20D2",nvsim:"\u223C\u20D2",nwArr:"\u21D6",nwarhk:"\u2923",nwarrow:"\u2196",nwnear:"\u2927"});MathJax.Ajax.loadComplete(a.entityDir+"/n.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/o.js b/public/MathJax/jax/input/MathML/entities/o.js
index 58c92218..d8fd4df6 100644
--- a/public/MathJax/jax/input/MathML/entities/o.js
+++ b/public/MathJax/jax/input/MathML/entities/o.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{OElig:"\u0152",Oacute:"\u00D3",Ocirc:"\u00D4",Ocy:"\u041E",Odblac:"\u0150",Ograve:"\u00D2",Omacr:"\u014C",OpenCurlyDoubleQuote:"\u201C",OpenCurlyQuote:"\u2018",Or:"\u2A54",Oslash:"\u00D8",Otilde:"\u00D5",Otimes:"\u2A37",Ouml:"\u00D6",OverBracket:"\u23B4",OverParenthesis:"\uFE35",oS:"\u24C8",oacute:"\u00F3",oast:"\u229B",ocir:"\u229A",ocirc:"\u00F4",ocy:"\u043E",odash:"\u229D",odblac:"\u0151",odiv:"\u2A38",odot:"\u2299",odsold:"\u29BC",oelig:"\u0153",ofcir:"\u29BF",ogon:"\u02DB",ograve:"\u00F2",ogt:"\u29C1",ohbar:"\u29B5",ohm:"\u2126",oint:"\u222E",olarr:"\u21BA",olcir:"\u29BE",olcross:"\u29BB",olt:"\u29C0",omacr:"\u014D",omid:"\u29B6",ominus:"\u2296",opar:"\u29B7",operp:"\u29B9",oplus:"\u2295",orarr:"\u21BB",ord:"\u2A5D",order:"\u2134",orderof:"\u2134",ordf:"\u00AA",ordm:"\u00BA",origof:"\u22B6",oror:"\u2A56",orslope:"\u2A57",orv:"\u2A5B",oslash:"\u00F8",otilde:"\u00F5",otimes:"\u2297",otimesas:"\u2A36",ouml:"\u00F6",ovbar:"\u233D"});MathJax.Ajax.loadComplete(a.entityDir+"/o.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{OElig:"\u0152",Oacute:"\u00D3",Ocirc:"\u00D4",Ocy:"\u041E",Odblac:"\u0150",Ograve:"\u00D2",Omacr:"\u014C",Omicron:"\u039F",OpenCurlyDoubleQuote:"\u201C",OpenCurlyQuote:"\u2018",Or:"\u2A54",Oslash:"\u00D8",Otilde:"\u00D5",Otimes:"\u2A37",Ouml:"\u00D6",OverBracket:"\u23B4",OverParenthesis:"\u23DC",oS:"\u24C8",oacute:"\u00F3",oast:"\u229B",ocir:"\u229A",ocirc:"\u00F4",ocy:"\u043E",odash:"\u229D",odblac:"\u0151",odiv:"\u2A38",odot:"\u2299",odsold:"\u29BC",oelig:"\u0153",ofcir:"\u29BF",ogon:"\u02DB",ograve:"\u00F2",ogt:"\u29C1",ohbar:"\u29B5",ohm:"\u03A9",oint:"\u222E",olarr:"\u21BA",olcir:"\u29BE",olcross:"\u29BB",oline:"\u203E",olt:"\u29C0",omacr:"\u014D",omid:"\u29B6",ominus:"\u2296",opar:"\u29B7",operp:"\u29B9",oplus:"\u2295",orarr:"\u21BB",ord:"\u2A5D",order:"\u2134",orderof:"\u2134",ordf:"\u00AA",ordm:"\u00BA",origof:"\u22B6",oror:"\u2A56",orslope:"\u2A57",orv:"\u2A5B",oslash:"\u00F8",otilde:"\u00F5",otimes:"\u2297",otimesas:"\u2A36",ouml:"\u00F6",ovbar:"\u233D"});MathJax.Ajax.loadComplete(a.entityDir+"/o.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/q.js b/public/MathJax/jax/input/MathML/entities/q.js
index c3ce9507..0afdbe3f 100644
--- a/public/MathJax/jax/input/MathML/entities/q.js
+++ b/public/MathJax/jax/input/MathML/entities/q.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{qint:"\u2A0C",qprime:"\u2057",quaternions:"\u210D",quatint:"\u2A16",quest:"\u003F",questeq:"\u225F",quot:"\u0022"});MathJax.Ajax.loadComplete(a.entityDir+"/q.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{QUOT:"\u0022",qint:"\u2A0C",qprime:"\u2057",quaternions:"\u210D",quatint:"\u2A16",quest:"\u003F",questeq:"\u225F",quot:"\u0022"});MathJax.Ajax.loadComplete(a.entityDir+"/q.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/r.js b/public/MathJax/jax/input/MathML/entities/r.js
index 607be682..a8b4a298 100644
--- a/public/MathJax/jax/input/MathML/entities/r.js
+++ b/public/MathJax/jax/input/MathML/entities/r.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{RBarr:"\u2910",Racute:"\u0154",Rang:"\u300B",Rarrtl:"\u2916",Rcaron:"\u0158",Rcedil:"\u0156",Rcy:"\u0420",ReverseElement:"\u220B",ReverseUpEquilibrium:"\u296F",RightArrowBar:"\u21E5",RightDoubleBracket:"\u301B",RightDownTeeVector:"\u295D",RightDownVectorBar:"\u2955",RightTeeVector:"\u295B",RightTriangleBar:"\u29D0",RightUpDownVector:"\u294F",RightUpTeeVector:"\u295C",RightUpVectorBar:"\u2954",RightVectorBar:"\u2953",RoundImplies:"\u2970",RuleDelayed:"\u29F4",rAarr:"\u21DB",rArr:"\u21D2",rAtail:"\u291C",rBarr:"\u290F",rHar:"\u2964",race:"\u29DA",racute:"\u0155",radic:"\u221A",raemptyv:"\u29B3",rang:"\u232A",rangd:"\u2992",range:"\u29A5",rangle:"\u232A",raquo:"\u00BB",rarr:"\u2192",rarrap:"\u2975",rarrb:"\u21E5",rarrbfs:"\u2920",rarrc:"\u2933",rarrfs:"\u291E",rarrhk:"\u21AA",rarrlp:"\u21AC",rarrpl:"\u2945",rarrsim:"\u2974",rarrw:"\u219D",ratail:"\u291A",ratio:"\u2236",rationals:"\u211A",rbarr:"\u290D",rbbrk:"\u3015",rbrke:"\u298C",rbrksld:"\u298E",rbrkslu:"\u2990",rcaron:"\u0159",rcedil:"\u0157",rceil:"\u2309",rcub:"\u007D",rcy:"\u0440",rdca:"\u2937",rdldhar:"\u2969",rdquo:"\u201D",rdquor:"\u201D",rdsh:"\u21B3",real:"\u211C",realine:"\u211B",realpart:"\u211C",reals:"\u211D",rect:"\u25AD",reg:"\u00AE",rfisht:"\u297D",rfloor:"\u230B",rhard:"\u21C1",rharu:"\u21C0",rharul:"\u296C",rightarrow:"\u2192",rightarrowtail:"\u21A3",rightharpoondown:"\u21C1",rightharpoonup:"\u21C0",rightleftarrows:"\u21C4",rightleftharpoons:"\u21CC",rightsquigarrow:"\u219D",risingdotseq:"\u2253",rlarr:"\u21C4",rlhar:"\u21CC",rmoustache:"\u23B1",rnmid:"\u2AEE",roang:"\u3019",roarr:"\u21FE",robrk:"\u301B",ropar:"\u2986",roplus:"\u2A2E",rotimes:"\u2A35",rpar:"\u0029",rpargt:"\u2994",rppolint:"\u2A12",rrarr:"\u21C9",rsh:"\u21B1",rsqb:"\u005D",rsquo:"\u2019",rsquor:"\u2019",rthree:"\u22CC",rtrie:"\u22B5",rtrif:"\u25B8",rtriltri:"\u29CE",ruluhar:"\u2968",rx:"\u211E"});MathJax.Ajax.loadComplete(a.entityDir+"/r.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{RBarr:"\u2910",REG:"\u00AE",Racute:"\u0154",Rang:"\u27EB",Rarrtl:"\u2916",Rcaron:"\u0158",Rcedil:"\u0156",Rcy:"\u0420",ReverseElement:"\u220B",ReverseUpEquilibrium:"\u296F",Rho:"\u03A1",RightArrowBar:"\u21E5",RightDoubleBracket:"\u27E7",RightDownTeeVector:"\u295D",RightDownVectorBar:"\u2955",RightTeeVector:"\u295B",RightTriangleBar:"\u29D0",RightUpDownVector:"\u294F",RightUpTeeVector:"\u295C",RightUpVectorBar:"\u2954",RightVectorBar:"\u2953",RoundImplies:"\u2970",RuleDelayed:"\u29F4",rAarr:"\u21DB",rArr:"\u21D2",rAtail:"\u291C",rBarr:"\u290F",rHar:"\u2964",race:"\u223D\u0331",racute:"\u0155",radic:"\u221A",raemptyv:"\u29B3",rang:"\u27E9",rangd:"\u2992",range:"\u29A5",rangle:"\u27E9",raquo:"\u00BB",rarr:"\u2192",rarrap:"\u2975",rarrb:"\u21E5",rarrbfs:"\u2920",rarrc:"\u2933",rarrfs:"\u291E",rarrhk:"\u21AA",rarrlp:"\u21AC",rarrpl:"\u2945",rarrsim:"\u2974",rarrw:"\u219D",ratail:"\u291A",ratio:"\u2236",rationals:"\u211A",rbarr:"\u290D",rbbrk:"\u2773",rbrke:"\u298C",rbrksld:"\u298E",rbrkslu:"\u2990",rcaron:"\u0159",rcedil:"\u0157",rceil:"\u2309",rcub:"\u007D",rcy:"\u0440",rdca:"\u2937",rdldhar:"\u2969",rdquo:"\u201D",rdquor:"\u201D",rdsh:"\u21B3",real:"\u211C",realine:"\u211B",realpart:"\u211C",reals:"\u211D",rect:"\u25AD",reg:"\u00AE",rfisht:"\u297D",rfloor:"\u230B",rhard:"\u21C1",rharu:"\u21C0",rharul:"\u296C",rightarrow:"\u2192",rightarrowtail:"\u21A3",rightharpoondown:"\u21C1",rightharpoonup:"\u21C0",rightleftarrows:"\u21C4",rightleftharpoons:"\u21CC",rightsquigarrow:"\u219D",risingdotseq:"\u2253",rlarr:"\u21C4",rlhar:"\u21CC",rlm:"\u200F",rmoustache:"\u23B1",rnmid:"\u2AEE",roang:"\u27ED",roarr:"\u21FE",robrk:"\u27E7",ropar:"\u2986",roplus:"\u2A2E",rotimes:"\u2A35",rpar:"\u0029",rpargt:"\u2994",rppolint:"\u2A12",rrarr:"\u21C9",rsaquo:"\u203A",rsh:"\u21B1",rsqb:"\u005D",rsquo:"\u2019",rsquor:"\u2019",rthree:"\u22CC",rtrie:"\u22B5",rtrif:"\u25B8",rtriltri:"\u29CE",ruluhar:"\u2968",rx:"\u211E"});MathJax.Ajax.loadComplete(a.entityDir+"/r.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/s.js b/public/MathJax/jax/input/MathML/entities/s.js
index b46d9f4e..2ac47c17 100644
--- a/public/MathJax/jax/input/MathML/entities/s.js
+++ b/public/MathJax/jax/input/MathML/entities/s.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{SHCHcy:"\u0429",SHcy:"\u0428",SOFTcy:"\u042C",Sacute:"\u015A",Sc:"\u2ABC",Scaron:"\u0160",Scedil:"\u015E",Scirc:"\u015C",Scy:"\u0421",ShortDownArrow:"\u2193",ShortLeftArrow:"\u2190",ShortRightArrow:"\u2192",ShortUpArrow:"\u2191",Sub:"\u22D0",Sup:"\u22D1",sacute:"\u015B",sc:"\u227B",scE:"\u2AB4",scaron:"\u0161",sccue:"\u227D",sce:"\u2AB0",scedil:"\u015F",scirc:"\u015D",scpolint:"\u2A13",scsim:"\u227F",scy:"\u0441",sdotb:"\u22A1",sdote:"\u2A66",seArr:"\u21D8",searhk:"\u2925",searrow:"\u2198",semi:"\u003B",seswar:"\u2929",setminus:"\u2216",setmn:"\u2216",sext:"\u2736",sfrown:"\u2322",shchcy:"\u0449",shcy:"\u0448",shortmid:"\u2223",shortparallel:"\u2225",shy:"\u00AD",sim:"\u223C",simdot:"\u2A6A",sime:"\u2243",simeq:"\u2243",simg:"\u2A9E",simgE:"\u2AA0",siml:"\u2A9D",simlE:"\u2A9F",simplus:"\u2A24",simrarr:"\u2972",slarr:"\u2190",smallsetminus:"\u2216",smashp:"\u2A33",smeparsl:"\u29E4",smid:"\u2223",smt:"\u2AAA",smte:"\u2AAC",smtes:"\u2AAC\uFE00",softcy:"\u044C",sol:"\u002F",solb:"\u29C4",solbar:"\u233F",spadesuit:"\u2660",spar:"\u2225",sqcap:"\u2293",sqcaps:"\u2293\uFE00",sqcup:"\u2294",sqcups:"\u2294\uFE00",sqsub:"\u228F",sqsube:"\u2291",sqsubset:"\u228F",sqsubseteq:"\u2291",sqsup:"\u2290",sqsupe:"\u2292",sqsupset:"\u2290",sqsupseteq:"\u2292",squ:"\u25A1",square:"\u25A1",squarf:"\u25AA",squf:"\u25AA",srarr:"\u2192",ssetmn:"\u2216",ssmile:"\u2323",sstarf:"\u22C6",star:"\u2606",starf:"\u2605",straightepsilon:"\u03F5",straightphi:"\u03D5",strns:"\u00AF",subdot:"\u2ABD",sube:"\u2286",subedot:"\u2AC3",submult:"\u2AC1",subplus:"\u2ABF",subrarr:"\u2979",subset:"\u2282",subseteq:"\u2286",subseteqq:"\u2AC5",subsetneq:"\u228A",subsetneqq:"\u2ACB",subsim:"\u2AC7",subsub:"\u2AD5",subsup:"\u2AD3",succ:"\u227B",succapprox:"\u2AB8",succcurlyeq:"\u227D",succeq:"\u2AB0",succnapprox:"\u2ABA",succneqq:"\u2AB6",succnsim:"\u22E9",succsim:"\u227F",sum:"\u2211",sung:"\u266A",sup:"\u2283",sup1:"\u00B9",sup2:"\u00B2",sup3:"\u00B3",supdot:"\u2ABE",supdsub:"\u2AD8",supe:"\u2287",supedot:"\u2AC4",suphsol:"\u2283\u002F",suphsub:"\u2AD7",suplarr:"\u297B",supmult:"\u2AC2",supplus:"\u2AC0",supset:"\u2283",supseteq:"\u2287",supseteqq:"\u2AC6",supsetneq:"\u228B",supsetneqq:"\u2ACC",supsim:"\u2AC8",supsub:"\u2AD4",supsup:"\u2AD6",swArr:"\u21D9",swarhk:"\u2926",swarrow:"\u2199",swnwar:"\u292A",szlig:"\u00DF"});MathJax.Ajax.loadComplete(a.entityDir+"/s.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{SHCHcy:"\u0429",SHcy:"\u0428",SOFTcy:"\u042C",Sacute:"\u015A",Sc:"\u2ABC",Scaron:"\u0160",Scedil:"\u015E",Scirc:"\u015C",Scy:"\u0421",ShortDownArrow:"\u2193",ShortLeftArrow:"\u2190",ShortRightArrow:"\u2192",ShortUpArrow:"\u2191",Sub:"\u22D0",Sup:"\u22D1",sacute:"\u015B",sbquo:"\u201A",sc:"\u227B",scE:"\u2AB4",scaron:"\u0161",sccue:"\u227D",sce:"\u2AB0",scedil:"\u015F",scirc:"\u015D",scpolint:"\u2A13",scsim:"\u227F",scy:"\u0441",sdotb:"\u22A1",sdote:"\u2A66",seArr:"\u21D8",searhk:"\u2925",searrow:"\u2198",semi:"\u003B",seswar:"\u2929",setminus:"\u2216",setmn:"\u2216",sext:"\u2736",sfrown:"\u2322",shchcy:"\u0449",shcy:"\u0448",shortmid:"\u2223",shortparallel:"\u2225",shy:"\u00AD",sigmaf:"\u03C2",sim:"\u223C",simdot:"\u2A6A",sime:"\u2243",simeq:"\u2243",simg:"\u2A9E",simgE:"\u2AA0",siml:"\u2A9D",simlE:"\u2A9F",simplus:"\u2A24",simrarr:"\u2972",slarr:"\u2190",smallsetminus:"\u2216",smashp:"\u2A33",smeparsl:"\u29E4",smid:"\u2223",smt:"\u2AAA",smte:"\u2AAC",smtes:"\u2AAC\uFE00",softcy:"\u044C",sol:"\u002F",solb:"\u29C4",solbar:"\u233F",spadesuit:"\u2660",spar:"\u2225",sqcap:"\u2293",sqcaps:"\u2293\uFE00",sqcup:"\u2294",sqcups:"\u2294\uFE00",sqsub:"\u228F",sqsube:"\u2291",sqsubset:"\u228F",sqsubseteq:"\u2291",sqsup:"\u2290",sqsupe:"\u2292",sqsupset:"\u2290",sqsupseteq:"\u2292",squ:"\u25A1",square:"\u25A1",squarf:"\u25AA",squf:"\u25AA",srarr:"\u2192",ssetmn:"\u2216",ssmile:"\u2323",sstarf:"\u22C6",star:"\u2606",starf:"\u2605",straightepsilon:"\u03F5",straightphi:"\u03D5",strns:"\u00AF",subdot:"\u2ABD",sube:"\u2286",subedot:"\u2AC3",submult:"\u2AC1",subplus:"\u2ABF",subrarr:"\u2979",subset:"\u2282",subseteq:"\u2286",subseteqq:"\u2AC5",subsetneq:"\u228A",subsetneqq:"\u2ACB",subsim:"\u2AC7",subsub:"\u2AD5",subsup:"\u2AD3",succ:"\u227B",succapprox:"\u2AB8",succcurlyeq:"\u227D",succeq:"\u2AB0",succnapprox:"\u2ABA",succneqq:"\u2AB6",succnsim:"\u22E9",succsim:"\u227F",sum:"\u2211",sung:"\u266A",sup:"\u2283",sup1:"\u00B9",sup2:"\u00B2",sup3:"\u00B3",supdot:"\u2ABE",supdsub:"\u2AD8",supe:"\u2287",supedot:"\u2AC4",suphsol:"\u27C9",suphsub:"\u2AD7",suplarr:"\u297B",supmult:"\u2AC2",supplus:"\u2AC0",supset:"\u2283",supseteq:"\u2287",supseteqq:"\u2AC6",supsetneq:"\u228B",supsetneqq:"\u2ACC",supsim:"\u2AC8",supsub:"\u2AD4",supsup:"\u2AD6",swArr:"\u21D9",swarhk:"\u2926",swarrow:"\u2199",swnwar:"\u292A",szlig:"\u00DF"});MathJax.Ajax.loadComplete(a.entityDir+"/s.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/t.js b/public/MathJax/jax/input/MathML/entities/t.js
index 2da1f6ac..0ec6203d 100644
--- a/public/MathJax/jax/input/MathML/entities/t.js
+++ b/public/MathJax/jax/input/MathML/entities/t.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{THORN:"\u00DE",TSHcy:"\u040B",TScy:"\u0426",Tab:"\u0009",Tcaron:"\u0164",Tcedil:"\u0162",Tcy:"\u0422",ThinSpace:"\u2009",TripleDot:"\u20DB",Tstrok:"\u0166",target:"\u2316",tbrk:"\u23B4",tcaron:"\u0165",tcedil:"\u0163",tcy:"\u0442",tdot:"\u20DB",telrec:"\u2315",there4:"\u2234",therefore:"\u2234",thickapprox:"\u2248",thicksim:"\u223C",thinsp:"\u2009",thkap:"\u2248",thksim:"\u223C",thorn:"\u00FE",timesb:"\u22A0",timesbar:"\u2A31",timesd:"\u2A30",tint:"\u222D",toea:"\u2928",top:"\u22A4",topbot:"\u2336",topcir:"\u2AF1",topfork:"\u2ADA",tosa:"\u2929",tprime:"\u2034",trade:"\u2122",triangledown:"\u25BF",triangleleft:"\u25C3",trianglelefteq:"\u22B4",triangleright:"\u25B9",trianglerighteq:"\u22B5",tridot:"\u25EC",trie:"\u225C",triminus:"\u2A3A",triplus:"\u2A39",trisb:"\u29CD",tritime:"\u2A3B",trpezium:"\uFFFD",tscy:"\u0446",tshcy:"\u045B",tstrok:"\u0167",twixt:"\u226C",twoheadleftarrow:"\u219E",twoheadrightarrow:"\u21A0"});MathJax.Ajax.loadComplete(a.entityDir+"/t.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{THORN:"\u00DE",TRADE:"\u2122",TSHcy:"\u040B",TScy:"\u0426",Tab:"\u0009",Tau:"\u03A4",Tcaron:"\u0164",Tcedil:"\u0162",Tcy:"\u0422",ThickSpace:"\u205F\u200A",ThinSpace:"\u2009",TripleDot:"\u20DB",Tstrok:"\u0166",target:"\u2316",tbrk:"\u23B4",tcaron:"\u0165",tcedil:"\u0163",tcy:"\u0442",tdot:"\u20DB",telrec:"\u2315",there4:"\u2234",therefore:"\u2234",thetasym:"\u03D1",thickapprox:"\u2248",thicksim:"\u223C",thinsp:"\u2009",thkap:"\u2248",thksim:"\u223C",thorn:"\u00FE",timesb:"\u22A0",timesbar:"\u2A31",timesd:"\u2A30",tint:"\u222D",toea:"\u2928",top:"\u22A4",topbot:"\u2336",topcir:"\u2AF1",topfork:"\u2ADA",tosa:"\u2929",tprime:"\u2034",trade:"\u2122",triangledown:"\u25BF",triangleleft:"\u25C3",trianglelefteq:"\u22B4",triangleright:"\u25B9",trianglerighteq:"\u22B5",tridot:"\u25EC",trie:"\u225C",triminus:"\u2A3A",triplus:"\u2A39",trisb:"\u29CD",tritime:"\u2A3B",trpezium:"\u23E2",tscy:"\u0446",tshcy:"\u045B",tstrok:"\u0167",twixt:"\u226C",twoheadleftarrow:"\u219E",twoheadrightarrow:"\u21A0"});MathJax.Ajax.loadComplete(a.entityDir+"/t.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/u.js b/public/MathJax/jax/input/MathML/entities/u.js
index 4ed6a034..500ca59e 100644
--- a/public/MathJax/jax/input/MathML/entities/u.js
+++ b/public/MathJax/jax/input/MathML/entities/u.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Uacute:"\u00DA",Uarr:"\u219F",Uarrocir:"\u2949",Ubrcy:"\u040E",Ubreve:"\u016C",Ucirc:"\u00DB",Ucy:"\u0423",Udblac:"\u0170",Ugrave:"\u00D9",Umacr:"\u016A",UnderBracket:"\u23B5",UnderParenthesis:"\uFE36",Uogon:"\u0172",UpArrowBar:"\u2912",UpArrowDownArrow:"\u21C5",UpEquilibrium:"\u296E",UpTeeArrow:"\u21A5",UpperLeftArrow:"\u2196",UpperRightArrow:"\u2197",Upsi:"\u03D2",Uring:"\u016E",Utilde:"\u0168",Uuml:"\u00DC",uArr:"\u21D1",uHar:"\u2963",uacute:"\u00FA",uarr:"\u2191",ubrcy:"\u045E",ubreve:"\u016D",ucirc:"\u00FB",ucy:"\u0443",udarr:"\u21C5",udblac:"\u0171",udhar:"\u296E",ufisht:"\u297E",ugrave:"\u00F9",uharl:"\u21BF",uharr:"\u21BE",uhblk:"\u2580",ulcorn:"\u231C",ulcorner:"\u231C",ulcrop:"\u230F",ultri:"\u25F8",umacr:"\u016B",uml:"\u00A8",uogon:"\u0173",uparrow:"\u2191",updownarrow:"\u2195",upharpoonleft:"\u21BF",upharpoonright:"\u21BE",uplus:"\u228E",upsilon:"\u03C5",urcorn:"\u231D",urcorner:"\u231D",urcrop:"\u230E",uring:"\u016F",urtri:"\u25F9",utdot:"\u22F0",utilde:"\u0169",utri:"\u25B5",utrif:"\u25B4",uuarr:"\u21C8",uuml:"\u00FC",uwangle:"\u29A7"});MathJax.Ajax.loadComplete(a.entityDir+"/u.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Uacute:"\u00DA",Uarr:"\u219F",Uarrocir:"\u2949",Ubrcy:"\u040E",Ubreve:"\u016C",Ucirc:"\u00DB",Ucy:"\u0423",Udblac:"\u0170",Ugrave:"\u00D9",Umacr:"\u016A",UnderBracket:"\u23B5",UnderParenthesis:"\u23DD",Uogon:"\u0172",UpArrowBar:"\u2912",UpArrowDownArrow:"\u21C5",UpEquilibrium:"\u296E",UpTeeArrow:"\u21A5",UpperLeftArrow:"\u2196",UpperRightArrow:"\u2197",Upsi:"\u03D2",Uring:"\u016E",Utilde:"\u0168",Uuml:"\u00DC",uArr:"\u21D1",uHar:"\u2963",uacute:"\u00FA",uarr:"\u2191",ubrcy:"\u045E",ubreve:"\u016D",ucirc:"\u00FB",ucy:"\u0443",udarr:"\u21C5",udblac:"\u0171",udhar:"\u296E",ufisht:"\u297E",ugrave:"\u00F9",uharl:"\u21BF",uharr:"\u21BE",uhblk:"\u2580",ulcorn:"\u231C",ulcorner:"\u231C",ulcrop:"\u230F",ultri:"\u25F8",umacr:"\u016B",uml:"\u00A8",uogon:"\u0173",uparrow:"\u2191",updownarrow:"\u2195",upharpoonleft:"\u21BF",upharpoonright:"\u21BE",uplus:"\u228E",upsih:"\u03D2",upsilon:"\u03C5",urcorn:"\u231D",urcorner:"\u231D",urcrop:"\u230E",uring:"\u016F",urtri:"\u25F9",utdot:"\u22F0",utilde:"\u0169",utri:"\u25B5",utrif:"\u25B4",uuarr:"\u21C8",uuml:"\u00FC",uwangle:"\u29A7"});MathJax.Ajax.loadComplete(a.entityDir+"/u.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/v.js b/public/MathJax/jax/input/MathML/entities/v.js
index 350d6656..ae9fba4c 100644
--- a/public/MathJax/jax/input/MathML/entities/v.js
+++ b/public/MathJax/jax/input/MathML/entities/v.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{VDash:"\u22AB",Vbar:"\u2AEB",Vcy:"\u0412",Vdashl:"\u2AE6",Verbar:"\u2016",Vert:"\u2016",VerticalLine:"\u007C",VerticalSeparator:"\u2758",VeryThinSpace:"\u200A",vArr:"\u21D5",vBar:"\u2AE8",vBarv:"\u2AE9",vDash:"\u22A8",vangrt:"\u299C",varepsilon:"\u03B5",varkappa:"\u03F0",varnothing:"\u2205",varphi:"\u03C6",varpi:"\u03D6",varpropto:"\u221D",varr:"\u2195",varrho:"\u03F1",varsigma:"\u03C2",varsubsetneq:"\u228A\uFE00",varsubsetneqq:"\u2ACB\uFE00",varsupsetneq:"\u228B\uFE00",varsupsetneqq:"\u2ACC\uFE00",vartheta:"\u03D1",vartriangleleft:"\u22B2",vartriangleright:"\u22B3",vcy:"\u0432",vdash:"\u22A2",vee:"\u2228",veeeq:"\u225A",verbar:"\u007C",vert:"\u007C",vltri:"\u22B2",vnsub:"\u2282\u20D2",vnsup:"\u2283\u20D2",vprop:"\u221D",vrtri:"\u22B3",vsubnE:"\u2ACB\uFE00",vsubne:"\u228A\uFE00",vsupnE:"\u2ACC\uFE00",vsupne:"\u228B\uFE00",vzigzag:"\u299A"});MathJax.Ajax.loadComplete(a.entityDir+"/v.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{VDash:"\u22AB",Vbar:"\u2AEB",Vcy:"\u0412",Vdashl:"\u2AE6",Verbar:"\u2016",Vert:"\u2016",VerticalLine:"\u007C",VerticalSeparator:"\u2758",VeryThinSpace:"\u200A",vArr:"\u21D5",vBar:"\u2AE8",vBarv:"\u2AE9",vDash:"\u22A8",vangrt:"\u299C",varepsilon:"\u03F5",varkappa:"\u03F0",varnothing:"\u2205",varphi:"\u03D5",varpi:"\u03D6",varpropto:"\u221D",varr:"\u2195",varrho:"\u03F1",varsigma:"\u03C2",varsubsetneq:"\u228A\uFE00",varsubsetneqq:"\u2ACB\uFE00",varsupsetneq:"\u228B\uFE00",varsupsetneqq:"\u2ACC\uFE00",vartheta:"\u03D1",vartriangleleft:"\u22B2",vartriangleright:"\u22B3",vcy:"\u0432",vdash:"\u22A2",vee:"\u2228",veeeq:"\u225A",verbar:"\u007C",vert:"\u007C",vltri:"\u22B2",vnsub:"\u2282\u20D2",vnsup:"\u2283\u20D2",vprop:"\u221D",vrtri:"\u22B3",vsubnE:"\u2ACB\uFE00",vsubne:"\u228A\uFE00",vsupnE:"\u2ACC\uFE00",vsupne:"\u228B\uFE00",vzigzag:"\u299A"});MathJax.Ajax.loadComplete(a.entityDir+"/v.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/entities/z.js b/public/MathJax/jax/input/MathML/entities/z.js
index edba90bc..1f553c5a 100644
--- a/public/MathJax/jax/input/MathML/entities/z.js
+++ b/public/MathJax/jax/input/MathML/entities/z.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(a){MathJax.Hub.Insert(a.Parse.Entity,{ZHcy:"\u0416",Zacute:"\u0179",Zcaron:"\u017D",Zcy:"\u0417",Zdot:"\u017B",ZeroWidthSpace:"\u200B",zacute:"\u017A",zcaron:"\u017E",zcy:"\u0437",zdot:"\u017C",zeetrf:"\u2128",zhcy:"\u0436"});MathJax.Ajax.loadComplete(a.entityDir+"/z.js")})(MathJax.InputJax.MathML);
+(function(a){MathJax.Hub.Insert(a.Parse.Entity,{ZHcy:"\u0416",Zacute:"\u0179",Zcaron:"\u017D",Zcy:"\u0417",Zdot:"\u017B",ZeroWidthSpace:"\u200B",Zeta:"\u0396",zacute:"\u017A",zcaron:"\u017E",zcy:"\u0437",zdot:"\u017C",zeetrf:"\u2128",zhcy:"\u0436",zwj:"\u200D",zwnj:"\u200C"});MathJax.Ajax.loadComplete(a.entityDir+"/z.js")})(MathJax.InputJax.MathML);
 
diff --git a/public/MathJax/jax/input/MathML/jax.js b/public/MathJax/jax/input/MathML/jax.js
index 0d894565..144b8154 100644
--- a/public/MathJax/jax/input/MathML/jax.js
+++ b/public/MathJax/jax/input/MathML/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(f){var g;if(typeof f!=="string"){g=f.parentNode}else{if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");f=f.replace(/&([a-z]+);/ig,this.replaceEntity);g=b.ParseXML(f);if(g==null){b.Error("Error parsing MathML")}}var e=g.getElementsByTagName("parsererror")[0];if(e){b.Error("Error parsing MathML: "+e.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(g.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(g.firstChild.nodeName.toLowerCase()==="html"){var d=g.getElementsByTagName("h1")[0];if(d&&d.textContent==="XML parsing error"&&d.nextSibling){b.Error("Error parsing MathML: "+String(d.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(g.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+g.firstChild.nodeName+">")}this.mml=this.MakeMML(g.firstChild)},MakeMML:function(g){var k=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[k]&&a[k].isa&&a[k].isa(a.mbase))){return a.merror("Unknown node type: "+k)}var d=a[k](),j,h,l;for(j=0,h=g.attributes.length;j<h;j++){l=g.attributes[j].value;if(l.toLowerCase()==="true"){l=true}else{if(l.toLowerCase()==="false"){l=false}}d[g.attributes[j].name]=l}for(j=0,h=g.childNodes.length;j<h;j++){var e=g.childNodes[j];if(e.nodeName==="#comment"){continue}if(e.nodeName==="#text"){if(d.isToken&&!d.mmlSelfClosing){var n=this.trimSpace(e.nodeValue);if(d.isa(a.mo)&&n.length===1&&this.Remap[n.charAt(0)]){n=this.Remap[n.charAt(0)]}n=n.replace(/&([a-z]+);/ig,this.replaceEntity);d.Append(a.chars(n))}else{if(e.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+e.nodeValue+"'")}}}else{var f=this.MakeMML(e);d.Append(f);if(f.mmlSelfClosing&&f.data.length){d.Append.apply(d,f.data);f.data=[]}}}if(b.config.useMathMLspacing){d.useMMLspacing=8}return d},trimSpace:function(d){return d.replace(/^[ \t\n\r]+/,"").replace(/[ \t\n\r]+$/,"").replace(/[ \t\n\r][ \t\n\r]+/g," ")},replaceEntity:function(f,e){if(e==="lt"||e==="amp"){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f},Remap:{"\u0027":"\u2032","\u002A":"\u2217","\u002D":"\u2212"}},{loaded:[]});b.Augment({Translate:function(d){var 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229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03F5",epsiv:"\u03B5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",lowbar:"\u005F",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nhArr:"\u21CE",nharr:"\u21AE",nlArr:"\u21CD",nlarr:"\u219A",not:"\u00AC",nrArr:"\u21CF",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03D5",phiv:"\u03C6",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
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Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax.");return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClossing:true})}});b.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};b.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 
diff --git a/public/MathJax/jax/input/TeX/config.js b/public/MathJax/jax/input/TeX/config.js
index 959ac02e..84b8bc4a 100644
--- a/public/MathJax/jax/input/TeX/config.js
+++ b/public/MathJax/jax/input/TeX/config.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
 
diff --git a/public/MathJax/jax/input/TeX/jax.js b/public/MathJax/jax/input/TeX/jax.js
index 98a2814a..a419b844 100644
--- a/public/MathJax/jax/input/TeX/jax.js
+++ b/public/MathJax/jax/input/TeX/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for 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diff --git a/public/MathJax/jax/output/HTML-CSS/autoload/annotation-xml.js b/public/MathJax/jax/output/HTML-CSS/autoload/annotation-xml.js
new file mode 100644
index 00000000..048d293a
--- /dev/null
+++ b/public/MathJax/jax/output/HTML-CSS/autoload/annotation-xml.js
@@ -0,0 +1,16 @@
+/*
+ *  /MathJax/jax/output/HTML-CSS/autoload/annotation-xml.js
+ *  
+ *  Copyright (c) 2010 Design Science, Inc.
+ *
+ *  Part of the MathJax library.
+ *  See http://www.mathjax.org for details.
+ * 
+ *  Licensed under the Apache License, Version 2.0;
+ *  you may not use this file except in compliance with the License.
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)*(100/b.scale)}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}f.bbox.w=b.getW(f);f.bbox.rw=f.bbox.w;var h=b.getHD(f);f.bbox.h=h.h;f.bbox.d=h.d}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
+
diff --git a/public/MathJax/jax/output/HTML-CSS/autoload/maction.js b/public/MathJax/jax/output/HTML-CSS/autoload/maction.js
index 153aa599..91ca1230 100644
--- a/public/MathJax/jax/output/HTML-CSS/autoload/maction.js
+++ b/public/MathJax/jax/output/HTML-CSS/autoload/maction.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="1.1";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(k,h,m){k=this.HTMLhandleSize(this.HTMLcreateSpan(k));k.bbox=null;var i=this.getValues("actiontype","selection"),n;var j=this.data[i.selection-1];if(j){e.Measured(j.toHTML(k),k);if(m!=null){e.Remeasured(j.HTMLstretchV(k,h,m),k)}else{if(h!=null){e.Remeasured(j.HTMLstretchH(k,h),k)}}if(e.msieHitBoxBug){var l=e.addElement(k,"span");n=e.createFrame(l,k.bbox.h,k.bbox.d,k.bbox.w,0,"none");k.insertBefore(l,k.firstChild);l.style.marginRight=e.Em(-k.bbox.w);if(e.msieInlineBlockAlignBug){n.style.verticalAlign=e.Em(e.getHD(k).d-k.bbox.d)}}else{n=e.createFrame(k,k.bbox.h,k.bbox.d,k.bbox.w,0,"none");k.insertBefore(n,k.firstChild);n.style.marginRight=e.Em(-k.bbox.w)}n.className="MathJax_HitBox";n.id="MathJax-HitBox-"+this.spanID;if(this.HTMLaction[i.actiontype]){this.HTMLaction[i.actiontype].call(this,k,n,i.selection)}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;j.onclick=i.childNodes[1].onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLsetStatus",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){j.title=j.alt=i.childNodes[1].title=i.childNodes[1].alt=this.data[1].data.join("")}else{j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}}},HTMLclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=k.HTMLspanElement();while(h.nodeName.toLowerCase()!=="nobr"){h=h.parentNode}var i=h.parentNode;i.removeChild(h);var l=i;if(i.parentNode.className==="MathJax_Display"){l=i.parentNode}k.toHTML(i,l);if(!j){j=window.event}if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false;return false},HTMLsetStatus:function(h){window.status=((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){window.status=""},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.clientX;var k=i.clientY;var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(i,m){f=null;if(b){clearTimeout(b);b=null}var l=this.HTMLtooltip;l.style.display="block";l.style.opacity="";l.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}l.style.left=i+"px";l.style.top=m+"px";l.innerHTML='<span class="MathJax"><nobr></nobr></span>';e.getScales(l.firstChild,l.firstChild);var h=e.createStack(l.firstChild.firstChild);var k=e.createBox(h);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}l.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,i,m],j.restart)}e.placeBox(k,0,0);e.createRule(l.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="1.1.2";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(k,h,m){k=this.HTMLhandleSize(this.HTMLcreateSpan(k));k.bbox=null;var i=this.getValues("actiontype","selection"),n;var j=this.data[i.selection-1];if(j){e.Measured(j.toHTML(k),k);if(m!=null){e.Remeasured(j.HTMLstretchV(k,h,m),k)}else{if(h!=null){e.Remeasured(j.HTMLstretchH(k,h),k)}}if(e.msieHitBoxBug){var l=e.addElement(k,"span");n=e.createFrame(l,k.bbox.h,k.bbox.d,k.bbox.w,0,"none");k.insertBefore(l,k.firstChild);l.style.marginRight=e.Em(-k.bbox.w);if(e.msieInlineBlockAlignBug){n.style.verticalAlign=e.Em(e.getHD(k).d-k.bbox.d)}}else{n=e.createFrame(k,k.bbox.h,k.bbox.d,k.bbox.w,0,"none");k.insertBefore(n,k.firstChild);n.style.marginRight=e.Em(-k.bbox.w)}n.className="MathJax_HitBox";n.id="MathJax-HitBox-"+this.spanID;if(this.HTMLaction[i.actiontype]){this.HTMLaction[i.actiontype].call(this,k,n,i.selection)}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;j.onclick=i.childNodes[1].onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLsetStatus",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){j.title=j.alt=i.childNodes[1].title=i.childNodes[1].alt=this.data[1].data.join("")}else{j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}}},HTMLclick:function(i){this.selection++;if(this.selection>this.data.length){this.selection=1}var h=this;while(h.type!=="math"){h=h.inherit}MathJax.Hub.getJaxFor(h.inputID).Update();if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false},HTMLsetStatus:function(h){window.status=((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){window.status=""},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(i,m){f=null;if(b){clearTimeout(b);b=null}var l=this.HTMLtooltip;l.style.display="block";l.style.opacity="";l.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}l.style.left=i+"px";l.style.top=m+"px";l.innerHTML='<span class="MathJax"><nobr></nobr></span>';e.getScales(l.firstChild,l.firstChild);var h=e.createStack(l.firstChild.firstChild);var k=e.createBox(h);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}l.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,i,m],j.restart)}e.placeBox(k,0,0);e.createRule(l.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
 
diff --git a/public/MathJax/jax/output/HTML-CSS/autoload/menclose.js b/public/MathJax/jax/output/HTML-CSS/autoload/menclose.js
index 87c058c6..735e485f 100644
--- a/public/MathJax/jax/output/HTML-CSS/autoload/menclose.js
+++ b/public/MathJax/jax/output/HTML-CSS/autoload/menclose.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(K){var h=this.getValues("notation","thickness","padding","mathcolor","color");if(h.color&&!this.mathcolor){h.mathcolor=h.color}if(h.thickness==null){h.thickness=".075em"}if(h.padding==null){h.padding=".2em"}var F=b.length2em(h.padding);var y=b.length2em(h.thickness);var u=b.Em(y)+" solid";K=this.HTMLcreateSpan(K);var r=b.createStack(K);var o=b.createBox(r);this.HTMLmeasureChild(0,o);var w=o.bbox.h+F+y,A=o.bbox.d+F+y,j=o.bbox.w+2*(F+y);var z=b.createFrame(r,w+A,0,j,y,"none");z.id="MathJax-frame-"+this.spanID;b.addBox(r,z);r.insertBefore(z,o);var k=h.notation.split(/ /);var l=0,E=0,n=0,s=0,x=0,v=0;var C,g;if(!h.mathcolor){h.mathcolor="black"}else{K.style.color=h.mathcolor}for(var J=0,I=k.length;J<I;J++){switch(k[J]){case a.NOTATION.BOX:z.style.border=u;if(!b.msieBorderWidthBug){l=E=s=n=y}break;case a.NOTATION.ROUNDEDBOX:if(b.useVML){if(!g){g=this.HTMLvml(r,w,A,j,y,h.mathcolor)}this.HTMLvmlElement(g,"roundrect",{style:{width:this.HTMLpx(j-2*y),height:this.HTMLpx(w+A-2*y),left:this.HTMLpx(y)+0.5,top:this.HTMLpx(y)+0.5},arcsize:".25"})}else{if(!C){C=this.HTMLsvg(r,w,A,j,y,h.mathcolor)}this.HTMLsvgElement(C.firstChild,"rect",{x:1,y:1,width:this.HTMLpx(j-y)-1,height:this.HTMLpx(w+A-y)-1,rx:this.HTMLpx(Math.min(w+A,j)/4)})}break;case a.NOTATION.CIRCLE:if(b.useVML){if(!g){g=this.HTMLvml(r,w,A,j,y,h.mathcolor)}this.HTMLvmlElement(g,"oval",{style:{width:this.HTMLpx(j-2*y),height:this.HTMLpx(w+A-2*y),left:this.HTMLpx(y)+0.5,top:this.HTMLpx(y)+0.5}})}else{if(!C){C=this.HTMLsvg(r,w,A,j,y,h.mathcolor)}this.HTMLsvgElement(C.firstChild,"ellipse",{rx:this.HTMLpx(j/2-y),ry:this.HTMLpx((w+A)/2-y),cx:this.HTMLpx(j/2),cy:this.HTMLpx((w+A)/2)})}break;case a.NOTATION.LEFT:z.style.borderLeft=u;if(!b.msieBorderWidthBug){s=y}break;case a.NOTATION.ACTUARIAL:z.style.borderTop=u;if(!b.msieBorderWidthBug){l=y;z.bbox.w+=F-y}case a.NOTATION.RIGHT:z.style.borderRight=u;if(!b.msieBorderWidthBug){n=y}break;case a.NOTATION.VERTICALSTRIKE:var q=b.createRule(r,w+A-y/2,0,y);b.addBox(r,q);b.placeBox(q,F+y+o.bbox.w/2,-A,true);break;case a.NOTATION.TOP:z.style.borderTop=u;if(!b.msieBorderWidthBug){l=y}break;case a.NOTATION.BOTTOM:z.style.borderBottom=u;if(!b.msieBorderWidthBug){E=y}break;case a.NOTATION.HORIZONTALSTRIKE:var G=b.createRule(r,y,0,j-y/2);b.addBox(r,G);b.placeBox(G,0,(w+A)/2-A,true);break;case a.NOTATION.UPDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(r,w,A,j,y,h.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(w+A-y),to:this.HTMLpx(j)+",0"})}else{if(!C){C=this.HTMLsvg(r,w,A,j,y,h.mathcolor)}this.HTMLsvgElement(C.firstChild,"line",{x1:1,y1:this.HTMLpx(w+A-y),x2:this.HTMLpx(j-y),y2:this.HTMLpx(y)})}break;case a.NOTATION.DOWNDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(r,w,A,j,y,h.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,0",to:this.HTMLpx(j)+","+this.HTMLpx(w+A-y)})}else{if(!C){C=this.HTMLsvg(r,w,A,j,y,h.mathcolor)}this.HTMLsvgElement(C.firstChild,"line",{x1:1,y1:this.HTMLpx(y),x2:this.HTMLpx(j-y),y2:this.HTMLpx(w+A-y)})}break;case a.NOTATION.MADRUWB:z.style.borderBottom=u;z.style.borderRight=u;if(!b.msieBorderWidthBug){E=n=y}break;case a.NOTATION.RADICAL:if(b.useVML){if(!g){g=this.HTMLvml(r,w,A,j,y,h.mathcolor)}this.HTMLvmlElement(g,"polyline",{points:this.HTMLpx(y/2)+","+this.HTMLpx(0.6*(w+A))+" "+this.HTMLpx(F)+","+this.HTMLpx(w+A-y)+" "+this.HTMLpx(2*F)+","+this.HTMLpx(y/2)+" "+this.HTMLpx(j)+","+this.HTMLpx(y/2)});x=F}else{if(!C){C=this.HTMLsvg(r,w,A,j,y,h.mathcolor)}this.HTMLsvgElement(C.firstChild,"path",{d:"M 1,"+this.HTMLpx(0.6*(w+A))+" L "+this.HTMLpx(F)+","+this.HTMLpx(w+A)+" L "+this.HTMLpx(2*F)+",1 L "+this.HTMLpx(j)+",1"});b.placeBox(C.parentNode,0,F/2-A,true);x=F;v=y}break;case a.NOTATION.LONGDIV:if(b.useVML){if(!g){g=this.HTMLvml(r,w,A,j,y,h.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(y/2),to:this.HTMLpx(j-y)+","+this.HTMLpx(y/2)});this.HTMLvmlElement(g,"arc",{style:{width:this.HTMLpx(2*F),height:this.HTMLpx(w+A-2*y),left:this.HTMLpx(-F),top:this.HTMLpx(y)},startangle:"10",endangle:"170"});x=F}else{if(!C){C=this.HTMLsvg(r,w,A,j,y,h.mathcolor)}this.HTMLsvgElement(C.firstChild,"path",{d:"M "+this.HTMLpx(j)+",1 L 1,1 a"+this.HTMLpx(F)+","+this.HTMLpx((w+A)/2-y)+" 0 0,1 1,"+this.HTMLpx(w+A-2*y)});b.placeBox(C.parentNode,0,y-A,true);x=F;v=y}break}}z.style.width=b.Em(j-s-n);z.style.height=b.Em(w+A-l-E);b.placeBox(z,0,v-A,true);b.placeBox(o,x+F+y,0);this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLpx:function(g){return(g*b.em)},HTMLhandleColor:function(h){var i=document.getElementById("MathJax-frame-"+this.spanID);if(i){var g=this.getValues("mathbackground","background");if(this.style&&h.style.backgroundColor){g.mathbackground=h.style.backgroundColor}if(g.background&&!this.mathbackground){g.mathbackground=g.background}if(g.mathbackground&&g.mathbackground!==a.COLOR.TRANSPARENT){i.style.backgroundColor=g.mathbackground}}else{this.SUPER(arguments).HTMLhandleColor.call(this,h)}},HTMLsvg:function(h,l,m,g,k,j){var i=document.createElementNS(c,"svg");if(i.style){i.style.width=b.Em(g);i.style.height=b.Em(l+m)}var n=b.createBox(h);n.appendChild(i);b.placeBox(n,0,-m,true);this.HTMLsvgElement(i,"g",{fill:"none",stroke:j,"stroke-width":k*b.em});return i},HTMLsvgElement:function(g,h,i){var j=document.createElementNS(c,h);if(i){for(var k in i){if(i.hasOwnProperty(k)){j.setAttributeNS(null,k,i[k].toString())}}}g.appendChild(j);return j},HTMLvml:function(i,l,m,h,k,j){var g=b.createFrame(i,l+m,0,h,0,"none");b.addBox(i,g);b.placeBox(g,0,-m,true);this.constructor.VMLcolor=j;this.constructor.VMLthickness=this.HTMLpx(k);return g},HTMLvmlElement:function(g,h,i){var j=b.addElement(g,e+":"+h,i);if(!i.fillcolor){j.fillcolor="none"}if(!i.strokecolor){j.strokecolor=this.constructor.VMLcolor}if(!i.strokeweight){j.strokeweight=this.constructor.VMLthickness}}});MathJax.Hub.Browser.Select({MSIE:function(g){b.useVML=true;if(!document.namespaces[e]){document.namespaces.add(e,f);var h=document.createStyleSheet();h.addRule(e+"\\:*","{behavior: url(#default#VML); position:absolute; top:0; left:0}")}}});MathJax.Hub.Startup.signal.Post("HTML-CSS menclose Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/menclose.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="1.1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(Q){var j=this.getValues("notation","thickness","padding","mathcolor","color");if(j.color&&!this.mathcolor){j.mathcolor=j.color}if(j.thickness==null){j.thickness=".075em"}if(j.padding==null){j.padding=".2em"}var M=b.length2em(j.padding);var E=b.length2em(j.thickness);var x=b.Em(E)+" solid";Q=this.HTMLcreateSpan(Q);var u=b.createStack(Q);var q=b.createBox(u);this.HTMLmeasureChild(0,q);var A=q.bbox.h+M+E,G=q.bbox.d+M+E,k=q.bbox.w+2*(M+E);var F=b.createFrame(u,A+G,0,k,E,"none");F.id="MathJax-frame-"+this.spanID;b.addBox(u,F);u.insertBefore(F,q);var l=j.notation.split(/ /);var n=0,K=0,o=0,v=0,C=0,z=0;var J,g;if(!j.mathcolor){j.mathcolor="black"}else{Q.style.color=j.mathcolor}for(var P=0,O=l.length;P<O;P++){switch(l[P]){case a.NOTATION.BOX:F.style.border=x;if(!b.msieBorderWidthBug){n=K=v=o=E}break;case a.NOTATION.ROUNDEDBOX:if(b.useVML){if(!g){g=this.HTMLvml(u,A,G,k,E,j.mathcolor)}var I=Math.floor(1000*Math.min(k,A+G)-2*E);var y=Math.floor(4000*(k-2*E)),S=Math.floor(4000*(A+G-2*E));this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(k-2*E),height:this.HTMLpx(A+G-2*E),left:this.HTMLpx(E,0.5),top:this.HTMLpx(E,0.5)},path:"m "+I+",0 qx 0,"+I+" l 0,"+(S-I)+" qy "+I+","+S+" l "+(y-I)+","+S+" qx "+y+","+(S-I)+" l "+y+","+I+" qy "+(y-I)+",0 x e",coordsize:y+","+S})}else{if(!J){J=this.HTMLsvg(u,A,G,k,E,j.mathcolor)}this.HTMLsvgElement(J.firstChild,"rect",{x:1,y:1,width:this.HTMLpx(k-E)-1,height:this.HTMLpx(A+G-E)-1,rx:this.HTMLpx(Math.min(A+G,k)/4)})}break;case a.NOTATION.CIRCLE:if(b.useVML){if(!g){g=this.HTMLvml(u,A,G,k,E,j.mathcolor)}this.HTMLvmlElement(g,"oval",{style:{width:this.HTMLpx(k-2*E),height:this.HTMLpx(A+G-2*E),left:this.HTMLpx(E,0.5),top:this.HTMLpx(E,0.5)}})}else{if(!J){J=this.HTMLsvg(u,A,G,k,E,j.mathcolor)}this.HTMLsvgElement(J.firstChild,"ellipse",{rx:this.HTMLpx(k/2-E),ry:this.HTMLpx((A+G)/2-E),cx:this.HTMLpx(k/2),cy:this.HTMLpx((A+G)/2)})}break;case a.NOTATION.LEFT:F.style.borderLeft=x;if(!b.msieBorderWidthBug){v=E}break;case a.NOTATION.ACTUARIAL:F.style.borderTop=x;if(!b.msieBorderWidthBug){n=E;F.bbox.w+=M-E}case a.NOTATION.RIGHT:F.style.borderRight=x;if(!b.msieBorderWidthBug){o=E}break;case a.NOTATION.VERTICALSTRIKE:var s=b.createRule(u,A+G-E/2,0,E);b.addBox(u,s);b.placeBox(s,M+E+q.bbox.w/2,-G,true);break;case a.NOTATION.TOP:F.style.borderTop=x;if(!b.msieBorderWidthBug){n=E}break;case a.NOTATION.BOTTOM:F.style.borderBottom=x;if(!b.msieBorderWidthBug){K=E}break;case a.NOTATION.HORIZONTALSTRIKE:var N=b.createRule(u,E,0,k-E/2);b.addBox(u,N);b.placeBox(N,0,(A+G)/2-G,true);break;case a.NOTATION.UPDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(u,A,G,k,E,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(A+G-E),to:this.HTMLpx(k)+",0"})}else{if(!J){J=this.HTMLsvg(u,A,G,k,E,j.mathcolor)}this.HTMLsvgElement(J.firstChild,"line",{x1:1,y1:this.HTMLpx(A+G-E),x2:this.HTMLpx(k-E),y2:this.HTMLpx(E)})}break;case a.NOTATION.DOWNDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(u,A,G,k,E,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,0",to:this.HTMLpx(k)+","+this.HTMLpx(A+G-E)})}else{if(!J){J=this.HTMLsvg(u,A,G,k,E,j.mathcolor)}this.HTMLsvgElement(J.firstChild,"line",{x1:1,y1:this.HTMLpx(E),x2:this.HTMLpx(k-E),y2:this.HTMLpx(A+G-E)})}break;case a.NOTATION.MADRUWB:F.style.borderBottom=x;F.style.borderRight=x;if(!b.msieBorderWidthBug){K=o=E}break;case a.NOTATION.RADICAL:if(b.useVML){if(!g){g=this.HTMLvml(u,A,G,k,E,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(k),height:this.HTMLpx(A+G)},path:"m "+this.HTMLpt(E/2,0.6*(A+G))+" l "+this.HTMLpt(M,A+G-E)+" "+this.HTMLpt(2*M,E/2)+" "+this.HTMLpt(k,E/2)+" e",coordsize:this.HTMLpt(k,A+G)});C=M}else{if(!J){J=this.HTMLsvg(u,A,G,k,E,j.mathcolor)}this.HTMLsvgElement(J.firstChild,"path",{d:"M 1,"+this.HTMLpx(0.6*(A+G))+" L "+this.HTMLpx(M)+","+this.HTMLpx(A+G)+" L "+this.HTMLpx(2*M)+",1 L "+this.HTMLpx(k)+",1"});b.placeBox(J.parentNode,0,M/2-G,true);C=M;z=E}break;case a.NOTATION.LONGDIV:if(b.useVML){if(!g){g=this.HTMLvml(u,A,G,k,E,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(E/2),to:this.HTMLpx(k-E)+","+this.HTMLpx(E/2)});this.HTMLvmlElement(g,"arc",{style:{width:this.HTMLpx(2*M),height:this.HTMLpx(A+G-2*E),left:this.HTMLpx(-M),top:this.HTMLpx(E)},startangle:"10",endangle:"170"});C=M}else{if(!J){J=this.HTMLsvg(u,A,G,k,E,j.mathcolor)}this.HTMLsvgElement(J.firstChild,"path",{d:"M "+this.HTMLpx(k)+",1 L 1,1 a"+this.HTMLpx(M)+","+this.HTMLpx((A+G)/2-E)+" 0 0,1 1,"+this.HTMLpx(A+G-2*E)});b.placeBox(J.parentNode,0,E-G,true);C=M;z=E}break}}F.style.width=b.Em(k-v-o);F.style.height=b.Em(A+G-n-K);b.placeBox(F,0,z-G,true);b.placeBox(q,C+M+E,0);this.HTMLhandleSpace(Q);this.HTMLhandleColor(Q);return Q},HTMLpx:function(g){return(g*b.em)},HTMLpt:function(g,h){return Math.floor(1000*g)+","+Math.floor(1000*h)},HTMLhandleColor:function(h){var i=document.getElementById("MathJax-frame-"+this.spanID);if(i){var g=this.getValues("mathbackground","background");if(this.style&&h.style.backgroundColor){g.mathbackground=h.style.backgroundColor}if(g.background&&!this.mathbackground){g.mathbackground=g.background}if(g.mathbackground&&g.mathbackground!==a.COLOR.TRANSPARENT){i.style.backgroundColor=g.mathbackground}}else{this.SUPER(arguments).HTMLhandleColor.call(this,h)}},HTMLsvg:function(h,l,m,g,k,j){var i=document.createElementNS(c,"svg");if(i.style){i.style.width=b.Em(g);i.style.height=b.Em(l+m)}var n=b.createBox(h);n.appendChild(i);b.placeBox(n,0,-m,true);this.HTMLsvgElement(i,"g",{fill:"none",stroke:j,"stroke-width":k*b.em});return i},HTMLsvgElement:function(g,h,i){var j=document.createElementNS(c,h);if(i){for(var k in i){if(i.hasOwnProperty(k)){j.setAttributeNS(null,k,i[k].toString())}}}g.appendChild(j);return j},HTMLvml:function(i,l,m,h,k,j){var g=b.createFrame(i,l+m,0,h,0,"none");b.addBox(i,g);b.placeBox(g,0,-m,true);this.constructor.VMLcolor=j;this.constructor.VMLthickness=this.HTMLpx(k);return g},HTMLvmlElement:function(g,h,i){var j=b.addElement(g,e+":"+h);j.style.position="absolute";j.style.left=j.style.top=0;MathJax.Hub.Insert(j,i);if(!i.fillcolor){j.fillcolor="none"}if(!i.strokecolor){j.strokecolor=this.constructor.VMLcolor}if(!i.strokeweight){j.strokeweight=this.constructor.VMLthickness}}});MathJax.Hub.Browser.Select({MSIE:function(g){a.menclose.Augment({HTMLpx:function(i,h){return(i*b.em+(h||0))+"px"}});b.useVML=true;if(!document.namespaces[e]){if(document.documentMode&&document.documentMode>=8){document.namespaces.add(e,f,"#default#VML")}else{document.namespaces.add(e,f);document.createStyleSheet().addRule(e+"\\: *","{behavior: url(#default#VML)}")}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS menclose Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/menclose.js")});
 
diff --git a/public/MathJax/jax/output/HTML-CSS/config.js b/public/MathJax/jax/output/HTML-CSS/config.js
index b5e17520..d4fd7d72 100644
--- a/public/MathJax/jax/output/HTML-CSS/config.js
+++ b/public/MathJax/jax/output/HTML-CSS/config.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
 
diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js b/public/MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
new file mode 100644
index 00000000..aab70e8f
--- /dev/null
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
@@ -0,0 +1,16 @@
+/*
+ *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
+ *  
+ *  Copyright (c) 2010 Design Science, Inc.
+ *
+ *  Part of the MathJax library.
+ *  See http://www.mathjax.org for details.
+ * 
+ *  Licensed under the Apache License, Version 2.0;
+ *  you may not use this file except in compliance with the License.
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.STIXGeneral,{12398:[661,41,901,37,840]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Regular/Hiragana.js");
+
diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js b/public/MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
new file mode 100644
index 00000000..45804913
--- /dev/null
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
@@ -0,0 +1,16 @@
+/*
+ *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
+ *  
+ *  Copyright (c) 2010 Design Science, Inc.
+ *
+ *  Part of the MathJax library.
+ *  See http://www.mathjax.org for details.
+ * 
+ *  Licensed under the Apache License, Version 2.0;
+ *  you may not use this file except in compliance with the License.
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.STIXGeneral,{65533:[662,217,872,55,817]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Regular/Specials.js");
+
diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata.js b/public/MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata.js
index df13d30b..d4faa172 100644
--- a/public/MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata.js
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
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diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
new file mode 100644
index 00000000..e781fb8d
--- /dev/null
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
@@ -0,0 +1,16 @@
+/*
+ *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+ *  
+ *  Copyright (c) 2010 Design Science, Inc.
+ *
+ *  Part of the MathJax library.
+ *  See http://www.mathjax.org for details.
+ * 
+ *  Licensed under the Apache License, Version 2.0;
+ *  you may not use this file except in compliance with the License.
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10731:[716,132,667,56,612]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscMathSymbolsB.js");
+
diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
new file mode 100644
index 00000000..7a632916
--- /dev/null
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
@@ -0,0 +1,16 @@
+/*
+ *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
+ *  
+ *  Copyright (c) 2010 Design Science, Inc.
+ *
+ *  Part of the MathJax library.
+ *  See http://www.mathjax.org for details.
+ * 
+ *  Licensed under the Apache License, Version 2.0;
+ *  you may not use this file except in compliance with the License.
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9733:[695,111,944,49,896]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscSymbols.js");
+
diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
new file mode 100644
index 00000000..0c064d2c
--- /dev/null
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
@@ -0,0 +1,16 @@
+/*
+ *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
+ *  
+ *  Copyright (c) 2010 Design Science, Inc.
+ *
+ *  Part of the MathJax library.
+ *  See http://www.mathjax.org for details.
+ * 
+ *  Licensed under the Apache License, Version 2.0;
+ *  you may not use this file except in compliance with the License.
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Main,{730:[715,-542,500,147,352]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Regular/SpacingModLetters.js");
+
diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
new file mode 100644
index 00000000..de25f84b
--- /dev/null
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
@@ -0,0 +1,16 @@
+/*
+ *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
+ *  
+ *  Copyright (c) 2010 Design Science, Inc.
+ *
+ *  Part of the MathJax library.
+ *  See http://www.mathjax.org for details.
+ * 
+ *  Licensed under the Apache License, Version 2.0;
+ *  you may not use this file except in compliance with the License.
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ */
+
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Script,{160:[0,0,250,0,0]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Script/Regular/Other.js");
+
diff --git a/public/MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata.js
index a87cf56e..7ebe3010 100644
--- a/public/MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata.js
+++ b/public/MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
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"+String.fromCharCode(923),32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677]}}if(g.Font.testFont({family:"MathJax_Greek",weight:"bold",testString:p})){g.Augment({FONTDATA:{VARIANT:{bold:{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-fraktur":{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-script":{offsetIEG:913,variantIEG:"-Greek-Bold"},"-Greek-Bold":{fonts:["MathJax_Greek-bold"]}}}});g.FONTDATA.FONTS["MathJax_Greek-bold"]={directory:"Greek/Bold",family:"MathJax_Greek",weight:"bold",testString:String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923),32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,64,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,779]}}if(g.Font.testFont({family:"MathJax_Greek",style:"italic",testString:p})){g.Augment({FONTDATA:{VARIANT:{italic:{offsetIEG:913,variantIEG:"-Greek-Italic"},"-Greek-Italic":{fonts:["MathJax_Greek-italic"]}}}});g.FONTDATA.FONTS["MathJax_Greek-italic"]={directory:"Greek/Italic",family:"MathJax_Greek",style:"italic",testString:String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923),skew:{915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[678,0,742,53,777],928:[681,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]}}}if(g.msieIE6){var s="MathJax_WinIE6";g.FONTDATA.FONTS[s]="WinIE6/Regular/Main.js";g.FONTDATA.RANGES.push({name:"arrows",low:8592,high:8601,offset:"AR"});var r={variant:"-WinIE6",8658:57866,8660:57867,8704:57868,8706:57869,8707:57870,8711:57871,8712:57872,8715:57873,8725:57874,8730:57875,8733:57876,8734:57877,8736:57878,8739:57879,8741:57880,8743:57881,8744:57882,8745:57883,8746:57884,8747:57885,8764:57886,8776:57887,8800:57888,8801:57889,8804:57890,8805:57891,8810:57892,8811:57893,8834:57894,8835:57895,8838:57896,8839:57897,8853:57898,8857:57899,8869:57900,9651:57901,9661:57902,9711:57903,9824:57904,9825:57905,9826:57906,9827:57907,9837:57908,9838:57909,9839:57910,8806:58053,8807:58054,8814:58055,8815:58056,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var u={variant:"-WinIE6",8658:57930,8660:57931,8704:57932,8706:57933,8707:57934,8711:57935,8712:57936,8715:57937,8725:57938,8730:57939,8733:57940,8734:57941,8736:57942,8739:57943,8741:57944,8743:57945,8744:57946,8745:57947,8746:57948,8747:57949,8764:57950,8776:57951,8800:57952,8801:57953,8804:57954,8805:57955,8810:57956,8811:57957,8834:57958,8835:57959,8838:57960,8839:57961,8853:57962,8857:57963,8869:57964,9651:57965,9661:57966,9711:57967,9824:57968,9825:57969,9826:57970,9827:57971,9837:57972,9838:57973,9839:57974,8806:58053,8807:58054,8814:58055,8815:58056,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var o={offsetAR:57856,variantAR:"-WinIE6",remap:r};var t={offsetAR:57920,variantAR:"-WinIE6",remap:u};g.Augment({FONTDATA:{VARIANT:{normal:o,bold:t,italic:o,"bold-italic":t,"-largeOp":{fonts:[s,c,d,f],remap:{8719:58000,8721:58001,8747:58005,8750:58006}},"-smallOp":{fonts:[s,d,f],remap:{8719:57984,8721:57985,8747:57989,8750:57990}},"-WinIE6":{fonts:[s]}},DELIMITERS:{8730:{HW:{0:[1,s,null,57875],1:[1.2,s,null,57986],2:[1.8,s,null,58002],3:[2.4,s,null,58018],4:[3,s,null,58034]}},124:{stretch:{ext:[57879,s]}},8739:{HW:{0:[1,s,null,57879]},stretch:{ext:[57879,s]}},9168:{HW:{1:[1,s,null,57879]},stretch:{ext:[57879,s]}},8741:{HW:{0:[1,s,null,57880]},stretch:{ext:[57880,s]}},8592:{HW:{0:[0.889,s,null,57856]},stretch:{left:[57856,s]}},8593:{HW:{0:[0.888,s,null,57857]},stretch:{top:[57991,s],ext:[57993,s]}},8594:{HW:{0:[0.889,s,null,57858]},stretch:{right:[57858,s]}},8595:{HW:{0:[0.888,s,null,57859]},stretch:{bot:[57992,s],ext:[57993,s]}},8596:{HW:{0:[1,s,null,57860]},stretch:{left:[57856,s],right:[57858,s]}},8597:{HW:{0:[1.044,s,null,57859]},stretch:{top:[57991,s],bot:[57992,s],ext:[57993,s]}}}}})}},Chrome:function(p){if(p.isPC&&!MathJax.Hub.Browser.versionAtLeast("5.0")){var o="-WinChrome";g.Augment({FONTDATA:{VARIANT:{normal:{remap:{62:[62,o]}},bold:{remap:{58097:[62,o]}},italic:{remap:{100:[100,o]}},"-tex-caligraphic":{remap:{84:[84,o]}},"-largeOp":{remap:{10752:[10752,o]}},"-smallOp":{remap:{8899:[8899,o]}},"-WinChrome":{fonts:["MathJax_WinChrome"]}},DELIMITERS:{93:{stretch:{bot:[9126,"MathJax_WinChrome"]}},8971:{stretch:{bot:[9126,"MathJax_WinChrome"]}}}}});g.FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d "+String.fromCharCode(9126)+" "+String.fromCharCode(10752),skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,82,694],84:[717,69,545,34,834],100:[694,11,511,100,567],160:[0,0,250,0,0],8899:[750,250,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,95,797]}}}})}(function(){var r=g.FONTDATA.FONTS,q=g.config.availableFonts;var p,o=[];if(g.allowWebFonts){for(p in r){if(r[p].family){if(q&&q.length&&g.Font.testFont(r[p])){r[p].available=true;g.Font.loadComplete(r[p])}else{r[p].isWebFont=true;if(g.FontFaceBug){r[p].family=p}o.push(g.Font.fontFace(p))}}}if(!g.config.preloadWebFonts){g.config.preloadWebFonts=[]}g.config.preloadWebFonts.push(f,h,d);if(o.length){g.config.styles["@font-face"]=o}}else{if(q&&q.length){for(p in r){if(r[p].family&&g.Font.testFont(r[p])){r[p].available=true;g.Font.loadComplete(r[p])}}}}})();k.loadComplete(g.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
 
diff --git a/public/MathJax/jax/output/HTML-CSS/jax.js b/public/MathJax/jax/output/HTML-CSS/jax.js
index e59729df..3d38731e 100644
--- a/public/MathJax/jax/output/HTML-CSS/jax.js
+++ b/public/MathJax/jax/output/HTML-CSS/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(j,g){if(g&&this.testCollection(g)){return g}for(var h=0,f=j.length;h<f;h++){if(j[h]===g){continue}if(this.testCollection(j[h])){return j[h]}}return null},testCollection:function(f){return this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DEFAULTFAMILY:"serif",DEFAULTWEIGHT:"normal",DEFAULTSTYLE:"normal",DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;var i=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=i+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&i!==100){this.em=a.mbase.prototype.em=f*i/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o.style.width=this.Em(q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v.width!=null&&!v.isFixed){if(q.width==null){o.style.width=q.width="100%"}n.style.width=v.width}}},alignBox:function(h,n,m){this.placeBox(h,0,m);var j=h.bbox;if(j.isMultiline){return}var g=j.width!=null&&!j.isFixed;var i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var o=0,k=g.HW.length;o<k;o++){if(g.HW[o][0]*l>=h-0.01||(o==k-1&&!g.stretch)){if(g.HW[o][2]){l*=g.HW[o][2]}if(g.HW[o][3]){f=g.HW[o][3]}var n=this.addElement(q,"span");this.createChar(n,[f,g.HW[o][1]],l,j);q.bbox=n.bbox;q.offset=0.65*q.bbox.w;q.scale=l;return}}if(g.stretch){this["extendDelimiter"+g.dir](q,p,g.stretch,l,j)}},extendDelimiterV:function(u,o,z,A,r){var i=this.createStack(u,true);var q=this.createBox(i),p=this.createBox(i);this.createChar(q,(z.top||z.ext),A,r);this.createChar(p,(z.bot||z.ext),A,r);var g={bbox:{w:0,lw:0,rw:0}},x=g;var v=q.bbox.h+q.bbox.d+p.bbox.h+p.bbox.d;var l=-q.bbox.h;this.placeBox(q,0,l,true);l-=q.bbox.d;if(z.mid){x=this.createBox(i);this.createChar(x,z.mid,A,r);v+=x.bbox.h+x.bbox.d}if(o>v){g=this.Element("span");this.createChar(g,z.ext,A,r);var w=g.bbox.h+g.bbox.d,f=w-0.05,s,j,t=(z.mid?2:1);j=s=Math.ceil((o-v)/(t*f));if(!z.fullExtenders){f=(o-v)/(t*s)}var m=(s/(s+1))*(w-f);f=w-m;l+=m+f-g.bbox.h;while(t-->0){while(s-->0){l-=f;this.placeBox(this.addBox(i,g.cloneNode(true)),0,l,true)}l+=m-g.bbox.d;if(z.mid&&t){this.placeBox(x,0,l-x.bbox.h,true);s=j;l+=-(x.bbox.h+x.bbox.d)+m+f-g.bbox.h}}}else{l+=(v-o)/2;if(z.mid){this.placeBox(x,0,l-x.bbox.h,true);l+=-(x.bbox.h+x.bbox.d)}l+=(v-o)/2}this.placeBox(p,0,l-p.bbox.h,true);l-=p.bbox.h+p.bbox.d;u.bbox={w:Math.max(q.bbox.w,g.bbox.w,p.bbox.w,x.bbox.w),lw:Math.min(q.bbox.lw,g.bbox.lw,p.bbox.lw,x.bbox.lw),rw:Math.max(q.bbox.rw,g.bbox.rw,p.bbox.rw,x.bbox.rw),h:0,d:-l};u.scale=A;u.offset=0.55*u.bbox.w;u.isMultiChar=true;this.setStackWidth(i,u.bbox.w)},extendDelimiterH:function(t,g,y,A,q){var j=this.createStack(t,true);var h=this.createBox(j),u=this.createBox(j);this.createChar(h,(y.left||y.rep),A,q);this.createChar(u,(y.right||y.rep),A,q);var f=this.Element("span");this.createChar(f,y.rep,A,q);var v={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}};this.placeBox(h,-h.bbox.lw,0,true);var o=(h.bbox.rw-h.bbox.lw)+(u.bbox.rw-u.bbox.lw)-0.05,m=h.bbox.rw-h.bbox.lw-0.025;if(y.mid){v=this.createBox(j);this.createChar(v,y.mid,A,q);o+=v.bbox.w}if(g>o){var z=f.bbox.rw-f.bbox.lw,i=z-0.05,r,l,s=(y.mid?2:1);l=r=Math.ceil((g-o)/(s*i));i=(g-o)/(s*r);var p=(r/(r+1))*(z-i);i=z-p;m-=f.bbox.lw+p;while(s-->0){while(r-->0){this.placeBox(this.addBox(j,f.cloneNode(true)),m,0,true);m+=i}if(y.mid&&s){this.placeBox(v,m,0,true);m+=v.bbox.w-p;r=l}}}else{m-=(o-g)/2;if(y.mid){this.placeBox(v,m,0,true);m+=v.bbox.w}m-=(o-g)/2}this.placeBox(u,m,0,true);t.bbox={w:m+u.bbox.rw,lw:0,rw:m+u.bbox.rw,H:Math.max(h.bbox.h,f.bbox.h,u.bbox.h,v.bbox.h),D:Math.max(h.bbox.d,f.bbox.d,u.bbox.d,v.bbox.d),h:f.bbox.h,d:f.bbox.d};t.scale=A;t.isMultiChar=true;this.setStackWidth(j,t.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l<g;l++){p+=String.fromCharCode(k[0][l])}}else{p=String.fromCharCode(k[0])}if(h!==1){n=this.addElement(o,"span",{style:{fontSize:this.Percent(h)},scale:h});this.handleVariant(n,j,p);o.bbox=n.bbox}else{this.handleVariant(o,j,p)}if(k[2]){o.style.marginLeft=this.Em(k[2])}if(this.AccentBug&&o.bbox.w===0){n.firstChild.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o.offsetWidth/e.em)}},positionDelimiter:function(g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g.firstChild.style.display===""&&g.style.top!==""){g=g.firstChild;f-=parseFloat(g.style.top)}g.style.position="relative";g.style.top=this.Em(-f)}else{g.style.verticalAlign=this.Em(f);if(e.ffVerticalAlignBug){e.createRule(g.parentNode,g.bbox.h,0,0)}}}},handleVariant:function(v,j,o){var u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||this.FONTDATA.DEFAULTSTYLE,i=f.weight||this.FONTDATA.DEFAULTWEIGHT;if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,k,j,i){var h=k[5];if(h.img){return this.handleImg(g,f,k,j,i)}if(h.c==null){if(j<=65535){h.c=String.fromCharCode(j)}else{h.c=this.PLANE1+String.fromCharCode(j-119808+56320)}}if(k[2]||!this.msieAccentBug||i.length){return i+h.c}e.createShift(g,k[3]/1000);e.createShift(g,(k[4]-k[3])/1000);this.addText(g,h.c);e.createShift(g,-k[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h<f;h++){if(o[l[h]]){j.FONTS.push(o[l[h]]);o[l[h]].name=l[h]}}}for(h=0,f=j.FONTS.length;h<f;h++){var g=j.FONTS[h];if(typeof(g)==="string"){delete 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f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1:String.fromCharCode(55349),NBSP:String.fromCharCode(160),rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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f.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(f){if(this.isEmbellished()){return this.Core().HTMLcanStretch(f)}return false},HTMLstretchH:function(g,f){return this.HTMLspanElement()},HTMLstretchV:function(g,f,i){return this.HTMLspanElement()},HTMLnotEmpty:function(f){while(f){if((f.type!=="mrow"&&f.type!=="texatom")||f.data.length>1){return true}f=f.data[0]}return false},HTMLmeasureChild:function(g,f){if(this.data[g]!=null){e.Measured(this.data[g].toHTML(f),f)}else{f.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(f){if(this.spanID){var g=this.HTMLspanElement();if(g){while(g.firstChild){g.removeChild(g.firstChild)}g.bbox={w:0,h:0,d:0,lw:0,rw:0};g.scale=1;g.isMultChar=null;g.style.cssText="";return g}}if(this.href){f=e.addElement(f,"a",{href:this.href})}f=e.addElement(f,"span",{className:this.type});if(e.imgHeightBug){f.style.display="inline-block"}if(this["class"]!=null){f.className+=" 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m=this.getValues("mathcolor","color");if(this.mathbackground){m.mathbackground=this.mathbackground}if(this.background){m.background=this.background}if(this.style&&k.style.backgroundColor){m.mathbackground=k.style.backgroundColor;k.style.backgroundColor="transparent"}if(m.color&&!this.mathcolor){m.mathcolor=m.color}if(m.background&&!this.mathbackground){m.mathbackground=m.background}if(m.mathcolor){k.style.color=m.mathcolor}if(m.mathbackground&&m.mathbackground!==a.COLOR.TRANSPARENT){var n=1/e.em,j=0,i=0;if(this.isToken){j=k.bbox.lw;i=k.bbox.rw-k.bbox.w}if(k.style.paddingLeft!==""){j+=parseFloat(k.style.paddingLeft)*(k.scale||1)}if(k.style.paddingRight!==""){i-=parseFloat(k.style.paddingRight)*(k.scale||1)}var h=Math.max(0,e.getW(k)+(e.PaddingWidthBug?0:i-j));if(e.msieCharPaddingWidthBug&&k.style.paddingLeft!==""){h+=parseFloat(k.style.paddingLeft)*(k.scale||1)}var l=k.bbox.h+k.bbox.d,f=-k.bbox.d;if(h>0){h+=2*n;j-=n}if(l>0){l+=2*n;f-=n}i=-h-j;var g=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,style:{display:"inline-block",backgroundColor:m.mathbackground,width:e.Em(h),height:e.Em(l),verticalAlign:e.Em(f),marginLeft:e.Em(j),marginRight:e.Em(i)}});if(e.msieInlineBlockAlignBug){g.style.position="relative";g.style.width=g.style.height=0;g.style.verticalAlign=g.style.marginLeft=g.style.marginRight="";e.placeBox(e.addElement(g,"span",{noAdjust:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(h),height:e.Em(l),background:m.mathbackground}}),j,k.bbox.h+n)}k.parentNode.insertBefore(g,k);if(e.msieColorPositionBug){k.style.position="relative"}return g}return null},HTMLremoveColor:function(){var f=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(f){f.parentNode.removeChild(f)}},HTMLhandleSpace:function(i){if(this.useMMLspacing){if(this.type!=="mo"){return}var g=this.getValues("scriptlevel","lspace","rspace");if(g.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){g.lspace=Math.max(0,e.length2em(g.lspace));g.rspace=Math.max(0,e.length2em(g.rspace));var f=this,h=this.Parent();while(h&&h.isEmbellished()&&h.Core()===f){f=h;h=h.Parent();i=f.HTMLspanElement()}if(g.lspace){i.style.paddingLeft=e.Em(g.lspace)}if(g.rspace){i.style.paddingRight=e.Em(g.rspace)}}}else{var j=this.texSpacing();if(j!==""){j=e.length2em(j)/(i.scale||1);if(i.style.paddingLeft){j+=parseFloat(i.style.paddingLeft)}i.style.paddingLeft=e.Em(j)}}},HTMLgetScale:function(){var h=1,f=this.getValues("mathsize","scriptlevel","fontsize","scriptminsize");if(this.style){var g=this.HTMLspanElement();if(g.style.fontSize!=""){f.fontsize=g.style.fontSize}}if(f.fontsize&&!this.mathsize){f.mathsize=f.fontsize}if(f.scriptlevel!==0){if(f.scriptlevel>2){f.scriptlevel=2}h=Math.pow(this.Get("scriptsizemultiplier"),f.scriptlevel);f.scriptminsize=e.length2em(f.scriptminsize);if(h<f.scriptminsize){h=f.scriptminsize}}h*=e.length2em(f.mathsize);return h},HTMLgetVariant:function(){var f=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var h=this.HTMLspanElement();if(h.style.fontFamily){f.fontfamily=h.style.fontFamily}if(h.style.fontWeight){f.fontweight=h.style.fontWeight}if(h.style.fontStyle){f.fontStyle=h.style.fontStyle}}var g=f.mathvariant;if(this.variantForm){g="-"+e.fontInUse+"-variant"}if(f.fontfamily&&!this.mathvariant){if(!f.fontweight&&f.mathvariant.match(/bold/)){f.fontweight="bold"}if(!f.fontstyle&&f.mathvariant.match(/italic/)){f.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:f.fontfamily,style:f.fontstyle,weight:f.fontweight}}}if(f.fontweight==="bold"){g={normal:a.VARIANT.BOLD,italic:a.VARIANT.BOLDITALIC,fraktur:a.VARIANT.BOLDFRAKTUR,script:a.VARIANT.BOLDSCRIPT,"sans-serif":a.VARIANT.BOLDSANSSERIF,"sans-serif-italic":a.VARIANT.SANSSERIFBOLDITALIC}[g]||g}else{if(f.fontweight==="normal"){g={bold:a.VARIANT.normal,"bold-italic":a.VARIANT.ITALIC,"bold-fraktur":a.VARIANT.FRAKTUR,"bold-script":a.VARIANT.SCRIPT,"bold-sans-serif":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.SANSSERIFITALIC}[g]||g}}if(f.fontstyle==="italic"){g={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[g]||g}else{if(f.fontstyle==="normal"){g={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[g]||g}}return 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g=k.bbox={},l=[];this.HTMLcheckStretchy(this.data.open,g,l,j);this.HTMLcheckStretchy(this.data[0],g,l,j);for(var h=1,f=this.data.length;h<f;h++){if(this.data[h]){this.HTMLcheckStretchy(this.data["sep"+h],g,l,j);this.HTMLcheckStretchy(this.data[h],g,l,j)}}this.HTMLcheckStretchy(this.data.close,g,l,j);this.HTMLcleanBBox(g);return l},HTMLcheckStretchy:function(f,g,i,h){if(f){if(!h&&f.HTMLcanStretch("Vertical")){i.push(f);f=(f.CoreMO()||f)}this.HTMLcombineBBoxes(f,g)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(f){if(this.data[0]!=null){f=this.data[0].toHTML(f);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(f)}return 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l=[],I=[],q,H,C,g=-e.BIGDIMEN,F=g;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H]=e.createBox(j);e.Measured(this.data[H].toHTML(q),q);if(H==this.base){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(q,B,z),q)}else{if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchH(q,B),q)}}I[H]=(z==null&&B!=null?false:this.data[H].HTMLcanStretch("Horizontal"))}else{I[H]=this.data[H].HTMLcanStretch("Horizontal")}if(q.bbox.w>F){F=q.bbox.w}if(!I[H]&&F>g){g=F}}}if(g==-e.BIGDIMEN){g=F}if(z==null&&B!=null){g=F=B}var w=e.TeX.rule_thickness,A=e.FONTDATA.TeX_factor;var h=l[this.base]||{bbox:this.HTMLzeroBBox()},J=(h.bbox.ic||0);var p,n,s,r,o,v,E;for(H=0,C=this.data.length;H<C;H++){if(this.data[H]!=null){q=l[H];if(I[H]){q.bbox=this.data[H].HTMLstretchH(q,g).bbox}o=e.TeX.big_op_spacing5*K;var u=(H!=this.base&&f[this.ACCENTS[H]]);if(u&&q.bbox.w<=1/e.em+0.0001){q.bbox.w=q.bbox.rw-q.bbox.lw;q.bbox.noclip=true;if(q.bbox.lw&&!e.zeroWidthBug){q.insertBefore(e.createSpace(q.parentNode,0,0,-q.bbox.lw),q.firstChild)}e.createBlank(q,0,0,q.bbox.rw+0.1)}v={left:0,center:(g-q.bbox.w)/2,right:g-q.bbox.w}[f.align];p=v;n=0;if(H==this.over){if(u){E=Math.max(w*K*A,2.5/this.em);o=0;if(h.bbox.skew){p+=h.bbox.skew}}else{s=e.TeX.big_op_spacing1*K*A;r=e.TeX.big_op_spacing3*K*A;E=Math.max(s,r-Math.max(0,q.bbox.d))}E=Math.max(E,1.5/this.em);p+=J;n=h.bbox.h+q.bbox.d+E;q.bbox.h+=o}else{if(H==this.under){if(u){E=3*w*K*A;o=0}else{s=e.TeX.big_op_spacing2*K*A;r=e.TeX.big_op_spacing4*K*A;E=Math.max(s,r-q.bbox.h)}E=Math.max(E,1.5/this.em);p-=J;n=-(h.bbox.d+q.bbox.h+E);q.bbox.d+=o}}e.placeBox(q,p,n)}}this.HTMLhandleSpace(G);this.HTMLhandleColor(G);return G},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.msubsup.Augment({toHTML:function(C,A,w){C=this.HTMLcreateSpan(C);var G=this.HTMLgetScale();var j=e.createStack(C),g;var i=e.createBox(j);this.HTMLmeasureChild(this.base,i);if(this.data[this.base]){if(w!=null){e.Remeasured(this.data[this.base].HTMLstretchV(i,A,w),i)}else{if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchH(i,A),i)}}}e.placeBox(i,0,0);var h=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var E=e.TeX.x_height*G,o=e.TeX.scriptspace*G*0.75;var f,k;if(this.HTMLnotEmpty(this.data[this.sup])){f=e.createBox(j);e.Measured(this.data[this.sup].toHTML(f),f);f.bbox.w+=o;f.bbox.rw=Math.max(f.bbox.w,f.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){k=e.createBox(j);e.Measured(this.data[this.sub].toHTML(k),k);k.bbox.w+=o;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var m=i.bbox.h-y,l=i.bbox.d+x,F=0,z;if(i.bbox.ic){F=i.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&i.bbox.scale===1&&!this.data[this.base].Get("largeop")){m=l=0}}var B=this.getValues("subscriptshift","superscriptshift");B.subscriptshift=(B.subscriptshift===""?0:e.length2em(B.subscriptshift));B.superscriptshift=(B.superscriptshift===""?0:e.length2em(B.superscriptshift));if(!f){if(k){l=Math.max(l,e.TeX.sub1*G,k.bbox.h-(4/5)*E,B.subscriptshift);e.placeBox(k,i.bbox.w+o-F,-l,k.bbox)}}else{if(!k){g=this.getValues("displaystyle","texprimestyle");z=e.TeX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];m=Math.max(m,z*G,f.bbox.d+(1/4)*E,B.superscriptshift);e.placeBox(f,i.bbox.w+o,m,f.bbox)}else{l=Math.max(l,e.TeX.sub2*G);var n=e.TeX.rule_thickness*G;if((m-f.bbox.d)-(k.bbox.h-l)<3*n){l=3*n-m+f.bbox.d+k.bbox.h;y=(4/5)*E-(m-f.bbox.d);if(y>0){m+=y;l-=y}}e.placeBox(f,i.bbox.w+o,Math.max(m,B.superscriptshift));e.placeBox(k,i.bbox.w+o-F,-Math.max(l,B.subscriptshift))}}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(n,g){var k=this.Get("alttext");if(k){g.setAttribute("aria-label",k)}var h=e.addElement(n,"nobr");n=this.HTMLcreateSpan(h);var l=e.createStack(n),i=e.createBox(l),m;l.style.fontSize=h.parentNode.style.fontSize;h.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}a.mbase.prototype.displayAlign=d.config.displayAlign;a.mbase.prototype.displayIndent=d.config.displayIndent;m=e.Measured(this.data[0].toHTML(i),i)}e.placeBox(i,0,0);var j=e.em/e.outerEm;e.em/=j;n.bbox.h*=j;n.bbox.d*=j;n.bbox.w*=j;n.bbox.lw*=j;n.bbox.rw*=j;if(m&&m.bbox.width!=null){l.style.width=m.bbox.width;i.style.width="100%"}this.HTMLhandleColor(n);if(m){e.createRule(n,m.bbox.h*j,m.bbox.d*j,0)}if(!this.isMultiline&&this.Get("display")==="block"&&n.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===a.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}g.style.textAlign=o.indentalign;if(o.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift=this.displayIndent}if(o.indentshift&&o.indentalign!==a.INDENTALIGN.CENTER){n.style[{left:"marginLeft",right:"marginRight"}[o.indentalign]]=e.Em(e.length2em(o.indentshift))}}return n}});a.TeXAtom.Augment({toHTML:function(g){g=this.HTMLcreateSpan(g);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var f=e.createStack(g);var h=e.createBox(f);e.Measured(this.data[0].toHTML(h),h);e.placeBox(h,0,e.TeX.axis_height-(h.bbox.h+h.bbox.d)/2+h.bbox.d)}else{g.bbox=this.data[0].toHTML(g).bbox}}this.HTMLhandleSpace(g);this.HTMLhandleColor(g);return g}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(f){var i=f.versionAtLeast("7.0");var h=f.versionAtLeast("8.0")&&document.documentMode>7;var g=(document.compatMode==="BackCompat");e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)";e.Augment({getMarginScale:e.getMSIEmarginScale,PaddingWidthBug:true,msieEventBug:f.isIE9,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:g,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(h&&!g),msieBorderWidthBug:g,msieInlineBlockAlignBug:(!h||g),msieVerticalAlignBug:(h&&!g),msiePlaceBoxBug:(h&&!g),msieClipRectBug:!h,msieNegativeSpaceBug:g,negativeSkipBug:true,msieIE6:!i,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:f.isIE9,allowWebFonts:"eot"})},Firefox:function(g){var h=false;if(g.versionAtLeast("3.5")){var f=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,f.length)===f){h="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:h})},Safari:function(j){var h=j.versionAtLeast("3.0");var g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var i=d.config["HTML-CSS"];if(i){i.availableFonts=[];i.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(f){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(f.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(f){f.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(f.versionAtLeast("10.0")&&!f.isMini?"otf":false),adjustAvailableFonts:function(j){for(var h=0,g=j.length;h<g;h++){if(j[h]==="STIX"){j.splice(h,1);g--;h--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=j[0]}}})},Konqueror:function(f){e.Augment({konquerorVerticalAlignBug:true,noContextMenuBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(j,g){if(g&&this.testCollection(g)){return g}for(var h=0,f=j.length;h<f;h++){if(j[h]===g){continue}if(this.testCollection(j[h])){return j[h]}}return null},testCollection:function(f){return this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.allowWebFonts;var k=e.FONTDATA.FONTS[h];if(e.msieFontCSSBug&&!k.family.match(/-Web$/)){k.family+="-Web"}var g=c.fileURL(e.webfontDir+"/"+i);var f=h.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!f.match(/-/)){f+="-Regular"}if(i==="svg"){f+=".svg#"+f}else{f+="."+i}var j={"font-family":k.family,src:"url('"+g+"/"+f+"')"};if(i==="svg"){j.src+=" format('svg')"}if(!(e.FontFaceBug&&k.isWebFont)){if(h.match(/-bold/)){j["font-weight"]="bold"}if(h.match(/-italic/)){j["font-style"]="italic"}}return j}});e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax img":{display:"inline ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var g=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(g.scale){this.config.scale=g.scale}if(g.font&&g.font!=="Auto"){if(g.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(g.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(g.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(g.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var f=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!f&&this.allowWebFonts){f=this.config.webFont;if(f){this.webFonts=true}}if(!f&&this.config.imageFont){f=this.config.imageFont;this.imgFonts=true}if(f){this.fontInUse=f;this.fontDir+="/"+f;this.webfontDir+="/"+f;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var h=[],l=this.FONTDATA.VARIANT.normal.fonts;if(!(l instanceof Array)){l=[l]}for(var g=0,f=l.length;g<f;g++){h[g]=this.FONTDATA.FONTS[l[g]].family;if(!h[g]){h[g]=l[g]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":h.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(j){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var g=0,f=e.config.preloadWebFonts.length;g<f;g++){var h=e.FONTDATA.FONTS[e.config.preloadWebFonts[g]];if(!h.available){e.Font.testFont(h)}}},Translate:function(l){if(!l.parentNode){return}var j=l.previousSibling;if(j&&String(j.className).match(/^MathJax(_MathML|_Display)?$/)){j.parentNode.removeChild(j)}var m=l.MathJax.elementJax.root,n,f,h;n=f=h=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});var i=(m.Get("display")==="block");if(i){f=h=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});f.appendChild(n)}f.setAttribute("role","textbox");f.setAttribute("aria-readonly","true");if(this.useProcessingFrame){h=this.Element((i?"div":"span"),{className:"MathJax_Processing"});h.appendChild(f)}l.parentNode.insertBefore(h,l);var g;try{this.getScales(n);g=(this.em===0||String(this.em)==="NaN")}catch(k){g=true}if(g){this.hiddenDiv.appendChild(h);this.getScales(n)}this.initImg(n);this.initHTML(m,n);m.setTeXclass();try{m.toHTML(n,f)}catch(k){if(k.restart){h.parentNode.removeChild(h)}throw k}if(g){l.parentNode.insertBefore(h,l)}if(this.useProcessingFrame){h.parentNode.replaceChild(f,h)}},ContextMenu:function(i,j){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||j)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||e.msieEventBug){i=window.event}var f=MathJax.Menu;if(f){var h=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);f.jax=d.getJaxFor(h.nextSibling);f.menu.items[1].menu.items[1].name=(f.jax.inputJax.id==="MathML"?"Original":f.jax.inputJax.id);return f.menu.Post(i)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var g={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,g,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(e.config.showMathMenu){if(!f){f=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||f.button!==2){return}}else{if(!f[e.MENUKEY]||f.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,f,true)}},Mouseover:function(f){e.HandleEvent(f,"Mouseover",this)},Click:function(f){e.HandleEvent(f,"Click",this)},DblClick:function(f){e.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},initImg:function(f){},initHTML:function(g,f){},initFont:function(f){var h=e.FONTDATA.FONTS,g=e.config.availableFonts;if(g&&g.length&&e.Font.testFont(h[f])){h[f].available=true;return null}if(!this.allowWebFonts){return null}h[f].isWebFont=true;if(e.FontFaceBug){h[f].family=f;if(e.msieFontCSSBug){h[f].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(f)})},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/^MathJax/)){g.parentNode.removeChild(g)}},getScales:function(h){h.parentNode.insertBefore(this.HDMspan,h);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var g=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var f=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(g/this.TeX.x_height)/f)*this.config.scale);h.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&f===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=f*this.scale/100}h.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(h)},getMarginScale:function(f){return 1},getMSIEmarginScale:function(h){h.appendChild(this.marginCheck);var f=this.marginCheck.offsetWidth,g=this.marginMove.offsetWidth;var i=g/(2*g-f);h.removeChild(this.marginCheck);return i},getHD:function(g){var f=g.style.position;g.style.position="absolute";this.HDimg.style.height="0px";g.appendChild(this.HDspan);var h={h:g.offsetHeight};this.HDimg.style.height=h.h+"px";h.d=g.offsetHeight-h.h;h.h-=h.d;h.h/=this.em;h.d/=this.em;g.removeChild(this.HDspan);g.style.position=f;return h},getW:function(i){var g=i.offsetWidth,h=(i.bbox?i.bbox.w:-1),j=i;if((h<0||this.negativeSkipBug)&&g>=0){if(this.negativeSkipBug){var f=i.style.position;i.style.position="absolute";j=this.startMarker;if(i.firstChild){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}j=this.startMarker}i.appendChild(this.endMarker);g=this.endMarker.offsetLeft-j.offsetLeft;i.removeChild(this.endMarker);if(this.negativeSkipBug){i.removeChild(j);i.style.position=f}}return g/this.em},Measured:function(h,g){if(h.bbox.width==null&&h.bbox.w&&!h.bbox.isMultiline){var f=this.getW(h);h.bbox.rw+=f-h.bbox.w;h.bbox.w=f}if(!g){g=h.parentNode}if(!g.bbox){g.bbox=h.bbox}return h},Remeasured:function(g,f){f.bbox=this.Measured(g,f).bbox},Em:function(f){if(Math.abs(f)<0.0006){return"0em"}return f.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(f){return(100*f).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(f){return this.Percent(this.length2em(f))},length2em:function(k,i){if(typeof(k)!=="string"){k=k.toString()}if(k===""){return""}if(k===a.SIZE.NORMAL){return 1}if(k===a.SIZE.BIG){return 2}if(k===a.SIZE.SMALL){return 0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete q.D}if(v.w+m>q.w){q.w=v.w+m;if(q.width==null){o.style.width=this.Em(q.w)}}if(v.rw+m>q.rw){q.rw=v.rw+m}if(v.lw+m<q.lw){q.lw=v.lw+m}if(v.width!=null&&!v.isFixed){if(q.width==null){o.style.width=q.width="100%"}n.style.width=v.width}}},alignBox:function(h,n,m){this.placeBox(h,0,m);var j=h.bbox;if(j.isMultiline){return}var g=j.width!=null&&!j.isFixed;var i=0,k=-j.w/2,f="50%";if(this.negativeSkipBug){i=j.w-j.rw-0.1;k+=j.lw}k=this.Em(k*this.msieMarginScale);if(g){k="";f=(50-parseFloat(j.width)/2)+"%"}d.Insert(h.style,({right:{left:"",right:this.Em(i)},center:{left:f,marginLeft:k}})[n])},setStackWidth:function(g,f){if(typeof(f)==="number"){g.style.width=this.Em(Math.max(0,f));if(g.bbox){g.bbox.w=f}if(g.parentNode.bbox){g.parentNode.bbox.w=f}}else{g.style.width=g.parentNode.style.width="100%";if(g.bbox){g.bbox.width=f}if(g.parentNode.bbox){g.parentNode.bbox.width=f}}},createDelimiter:function(q,f,h,l,j){if(!f){q.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};q.bbox.rw=q.bbox.w;this.createSpace(q,q.bbox.h,q.bbox.d,q.bbox.w);return}if(!l){l=1}if(!(h instanceof Array)){h=[h,h]}var p=h[1];h=h[0];var g={alias:f};while(g.alias){f=g.alias;g=this.FONTDATA.DELIMITERS[f];if(!g){g={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var o=0,k=g.HW.length;o<k;o++){if(g.HW[o][0]*l>=h-0.01||(o==k-1&&!g.stretch)){if(g.HW[o][2]){l*=g.HW[o][2]}if(g.HW[o][3]){f=g.HW[o][3]}var n=this.addElement(q,"span");this.createChar(n,[f,g.HW[o][1]],l,j);q.bbox=n.bbox;q.offset=0.65*q.bbox.w;q.scale=l;return}}if(g.stretch){this["extendDelimiter"+g.dir](q,p,g.stretch,l,j)}},extendDelimiterV:function(v,p,A,B,s){var i=this.createStack(v,true);var r=this.createBox(i),q=this.createBox(i);this.createChar(r,(A.top||A.ext),B,s);this.createChar(q,(A.bot||A.ext),B,s);var g={bbox:{w:0,lw:0,rw:0}},z=g,j;var w=r.bbox.h+r.bbox.d+q.bbox.h+q.bbox.d;var m=-r.bbox.h;this.placeBox(r,0,m,true);m-=r.bbox.d;if(A.mid){z=this.createBox(i);this.createChar(z,A.mid,B,s);w+=z.bbox.h+z.bbox.d}if(p>w){g=this.Element("span");this.createChar(g,A.ext,B,s);var x=g.bbox.h+g.bbox.d,f=x-0.05,t,l,u=(A.mid?2:1);l=t=Math.ceil((p-w)/(u*f));if(!A.fullExtenders){f=(p-w)/(u*t)}var o=(t/(t+1))*(x-f);f=x-o;m+=o+f-g.bbox.h;while(u-->0){while(t-->0){if(!this.msieCloneNodeBug){j=g.cloneNode(true)}else{j=this.Element("span");this.createChar(j,A.ext,B,s)}m-=f;this.placeBox(this.addBox(i,j),0,m,true)}m+=o-g.bbox.d;if(A.mid&&u){this.placeBox(z,0,m-z.bbox.h,true);t=l;m+=-(z.bbox.h+z.bbox.d)+o+f-g.bbox.h}}}else{m+=(w-p)/2;if(A.mid){this.placeBox(z,0,m-z.bbox.h,true);m+=-(z.bbox.h+z.bbox.d)}m+=(w-p)/2}this.placeBox(q,0,m-q.bbox.h,true);m-=q.bbox.h+q.bbox.d;v.bbox={w:Math.max(r.bbox.w,g.bbox.w,q.bbox.w,z.bbox.w),lw:Math.min(r.bbox.lw,g.bbox.lw,q.bbox.lw,z.bbox.lw),rw:Math.max(r.bbox.rw,g.bbox.rw,q.bbox.rw,z.bbox.rw),h:0,d:-m};v.scale=B;v.offset=0.55*v.bbox.w;v.isMultiChar=true;this.setStackWidth(i,v.bbox.w)},extendDelimiterH:function(u,h,z,B,r){var l=this.createStack(u,true);var i=this.createBox(l),v=this.createBox(l);this.createChar(i,(z.left||z.rep),B,r);this.createChar(v,(z.right||z.rep),B,r);var f=this.Element("span");this.createChar(f,z.rep,B,r);var y={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},g;this.placeBox(i,-i.bbox.lw,0,true);var p=(i.bbox.rw-i.bbox.lw)+(v.bbox.rw-v.bbox.lw)-0.05,o=i.bbox.rw-i.bbox.lw-0.025,q;if(z.mid){y=this.createBox(l);this.createChar(y,z.mid,B,r);p+=y.bbox.w}if(h>p){var A=f.bbox.rw-f.bbox.lw,j=A-0.05,s,m,t=(z.mid?2:1);m=s=Math.ceil((h-p)/(t*j));j=(h-p)/(t*s);q=(s/(s+1))*(A-j);j=A-q;o-=f.bbox.lw+q;while(t-->0){while(s-->0){if(!this.msieCloneNodeBug){g=f.cloneNode(true)}else{g=this.Element("span");this.createChar(g,z.rep,B,r)}this.placeBox(this.addBox(l,g),o,0,true);o+=j}if(z.mid&&t){this.placeBox(y,o,0,true);o+=y.bbox.w-q;s=m}}}else{q=Math.min(p-h,i.bbox.w/2);o-=q/2;if(z.mid){this.placeBox(y,o,0,true);o+=y.bbox.w}o-=q/2}this.placeBox(v,o,0,true);u.bbox={w:o+v.bbox.rw,lw:0,rw:o+v.bbox.rw,H:Math.max(i.bbox.h,f.bbox.h,v.bbox.h,y.bbox.h),D:Math.max(i.bbox.d,f.bbox.d,v.bbox.d,y.bbox.d),h:f.bbox.h,d:f.bbox.d};u.scale=B;u.isMultiChar=true;this.setStackWidth(l,u.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l<g;l++){p+=String.fromCharCode(k[0][l])}}else{p=String.fromCharCode(k[0])}if(h!==1){n=this.addElement(o,"span",{style:{fontSize:this.Percent(h)},scale:h});this.handleVariant(n,j,p);o.bbox=n.bbox}else{this.handleVariant(o,j,p)}if(k[2]){o.style.marginLeft=this.Em(k[2])}if(this.AccentBug&&o.bbox.w===0){n.firstChild.nodeValue+=this.NBSP;e.createSpace(o,0,0,-o.offsetWidth/e.em)}},positionDelimiter:function(g,f){f-=g.bbox.h;g.bbox.d-=f;g.bbox.h+=f;if(f){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&g.isMultiChar)){if(g.firstChild.style.display===""&&g.style.top!==""){g=g.firstChild;f-=parseFloat(g.style.top)}g.style.position="relative";g.style.top=this.Em(-f)}else{g.style.verticalAlign=this.Em(f);if(e.ffVerticalAlignBug){e.createRule(g.parentNode,g.bbox.h,0,0)}}}},handleVariant:function(v,j,o){var u="",s,y,p,g,x,z,f=v;if(o.length===0){return}if(!v.bbox){v.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!j){j=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}z=j;for(var w=0,t=o.length;w<t;w++){j=z;s=o.charCodeAt(w);y=o.charAt(w);if(y===this.PLANE1){w++;s=o.charCodeAt(w)+119808-56320;if(this.FONTDATA.RemapPlane1){var A=this.FONTDATA.RemapPlane1(s,j);s=A.n;j=A.variant}}else{var q,l,r=this.FONTDATA.RANGES;for(q=0,l=r.length;q<l;q++){if(r[q].name==="alpha"&&j.noLowerCase){continue}var k=j["offset"+r[q].offset];if(k&&s>=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000<v.bbox.lw){v.bbox.lw=v.bbox.w+y[3]/1000}if(v.bbox.w+y[4]/1000>v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||"normal",i=f.weight||"normal";if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,l,k,j){var i=l[5];if(i.img){return this.handleImg(g,f,l,k,j)}if(i.isUnknown&&this.FONTDATA.DELIMITERS[k]){if(j.length){this.addText(g,j)}var h=g.scale;e.createDelimiter(g,k,0,1,f);g.scale=h;l[0]=g.bbox.h*1000;l[1]=g.bbox.d*1000;l[2]=g.bbox.w*1000;l[3]=g.bbox.lw*1000;l[4]=g.bbox.rw*1000;return""}if(i.c==null){if(k<=65535){i.c=String.fromCharCode(k)}else{i.c=this.PLANE1+String.fromCharCode(k-119808+56320)}}if(l[2]||!this.msieAccentBug||j.length){return j+i.c}e.createShift(g,l[3]/1000);e.createShift(g,(l[4]-l[3])/1000);this.addText(g,i.c);e.createShift(g,-l[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof 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g=this.HTMLspanElement();if(g.style.fontSize!=""){f.fontsize=g.style.fontSize}}if(f.fontsize&&!this.mathsize){f.mathsize=f.fontsize}if(f.scriptlevel!==0){if(f.scriptlevel>2){f.scriptlevel=2}h=Math.pow(this.Get("scriptsizemultiplier"),f.scriptlevel);f.scriptminsize=e.length2em(f.scriptminsize);if(h<f.scriptminsize){h=f.scriptminsize}}h*=e.length2em(f.mathsize);return h},HTMLgetVariant:function(){var f=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var h=this.HTMLspanElement();if(h.style.fontFamily){f.fontfamily=h.style.fontFamily}if(h.style.fontWeight){f.fontweight=h.style.fontWeight}if(h.style.fontStyle){f.fontStyle=h.style.fontStyle}}var g=f.mathvariant;if(this.variantForm){g="-"+e.fontInUse+"-variant"}if(f.fontfamily&&!this.mathvariant){if(!f.fontweight&&f.mathvariant.match(/bold/)){f.fontweight="bold"}if(!f.fontstyle&&f.mathvariant.match(/italic/)){f.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:f.fontfamily,style:f.fontstyle,weight:f.fontweight}}}if(f.fontweight==="bold"){g={normal:a.VARIANT.BOLD,italic:a.VARIANT.BOLDITALIC,fraktur:a.VARIANT.BOLDFRAKTUR,script:a.VARIANT.BOLDSCRIPT,"sans-serif":a.VARIANT.BOLDSANSSERIF,"sans-serif-italic":a.VARIANT.SANSSERIFBOLDITALIC}[g]||g}else{if(f.fontweight==="normal"){g={bold:a.VARIANT.normal,"bold-italic":a.VARIANT.ITALIC,"bold-fraktur":a.VARIANT.FRAKTUR,"bold-script":a.VARIANT.SCRIPT,"bold-sans-serif":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.SANSSERIFITALIC}[g]||g}}if(f.fontstyle==="italic"){g={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[g]||g}else{if(f.fontstyle==="normal"){g={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[g]||g}}return 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l=(k.bbox.h-k.bbox.d)/2-e.TeX.axis_height*k.scale;if(e.safariVerticalAlignBug&&k.lastChild.nodeName==="IMG"){k.lastChild.style.verticalAlign=e.Em(parseFloat(k.lastChild.style.verticalAlign||0)/e.em-l/k.scale)}else{if(e.konquerorVerticalAlignBug&&k.lastChild.nodeName==="IMG"){k.style.position="relative";k.lastChild.style.position="relative";k.lastChild.style.top=e.Em(l/k.scale)}else{k.style.verticalAlign=e.Em(-l/k.scale)}}k.bbox.h-=l;k.bbox.d+=l;if(k.bbox.rw>k.bbox.w){k.bbox.ic=k.bbox.rw-k.bbox.w;e.createBlank(k,k.bbox.ic);k.bbox.w=k.bbox.rw}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLcanStretch:function(f){if(!this.Get("stretchy")){return false}var g=this.data.join("");if(g.length>1){return false}g=e.FONTDATA.DELIMITERS[g.charCodeAt(0)];return(g&&g.dir==f.substr(0,1))},HTMLstretchV:function(l,k,n){this.HTMLremoveColor();var f=this.getValues("symmetric","maxsize","minsize");var j=this.HTMLspanElement(),g;var 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G=this.HTMLgetScale();var j=e.createStack(C),g;var i=e.createBox(j);this.HTMLmeasureChild(this.base,i);if(this.data[this.base]){if(w!=null){e.Remeasured(this.data[this.base].HTMLstretchV(i,A,w),i)}else{if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchH(i,A),i)}}}e.placeBox(i,0,0);var h=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var E=e.TeX.x_height*G,o=e.TeX.scriptspace*G*0.75;var f,k;if(this.HTMLnotEmpty(this.data[this.sup])){f=e.createBox(j);e.Measured(this.data[this.sup].toHTML(f),f);f.bbox.w+=o;f.bbox.rw=Math.max(f.bbox.w,f.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){k=e.createBox(j);e.Measured(this.data[this.sub].toHTML(k),k);k.bbox.w+=o;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}var y=e.TeX.sup_drop*h,x=e.TeX.sub_drop*h;var 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g}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(f){var i=f.versionAtLeast("7.0");var h=f.versionAtLeast("8.0")&&document.documentMode>7;var g=(document.compatMode==="BackCompat");e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)";e.Augment({getMarginScale:e.getMSIEmarginScale,PaddingWidthBug:true,msieEventBug:f.isIE9,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:g,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(h&&!g),msieBorderWidthBug:g,msieInlineBlockAlignBug:(!h||g),msieVerticalAlignBug:(h&&!g),msiePlaceBoxBug:(h&&!g),msieClipRectBug:!h,msieNegativeSpaceBug:g,msieCloneNodeBug:(h&&f.version==="8.0"),negativeSkipBug:true,msieIE6:!i,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:f.isIE9,allowWebFonts:"eot"})},Firefox:function(g){var h=false;if(g.versionAtLeast("3.5")){var f=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,f.length)===f){h="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:h})},Safari:function(j){var h=j.versionAtLeast("3.0");var g=j.versionAtLeast("3.1");j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);var f=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var k=(g&&j.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!j.versionAtLeast("5.0"))||(f!=null&&(f[1]<2||(f[1]==2&&f[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,safariContextMenuBug:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!g,safariTextNodeBug:!h,safariWebFontSerif:["serif"],allowWebFonts:(g&&!k?"otf":false)});if(k){var i=d.config["HTML-CSS"];if(i){i.availableFonts=[];i.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(f){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(f.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(f){f.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:f.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(f.versionAtLeast("10.0")&&!f.isMini?"otf":false),adjustAvailableFonts:function(j){for(var h=0,g=j.length;h<g;h++){if(j[h]==="STIX"){j.splice(h,1);g--;h--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=j[0]}}})},Konqueror:function(f){e.Augment({konquerorVerticalAlignBug:true,noContextMenuBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/public/MathJax/jax/output/NativeMML/config.js b/public/MathJax/jax/output/NativeMML/config.js
index b4940c77..9d039588 100644
--- a/public/MathJax/jax/output/NativeMML/config.js
+++ b/public/MathJax/jax/output/NativeMML/config.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}(function(b){if(b.isMSIE){var a=document.createElement("object");a.id="mathplayer";a.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(a);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}})(MathJax.Hub.Browser);MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
 
diff --git a/public/MathJax/jax/output/NativeMML/jax.js b/public/MathJax/jax/output/NativeMML/jax.js
index 42f24d3e..549741a3 100644
--- a/public/MathJax/jax/output/NativeMML/jax.js
+++ b/public/MathJax/jax/output/NativeMML/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(b,e,d){var a,c=e.Browser.isMSIE;b.Augment({LEFTBUTTON:(c?1:0),MENUKEY:"altKey",noContextMenuBug:e.Browser.isKonequeror,msieQuirks:(c&&!(document.compatMode==="BackCompat")),msieEventBug:e.Browser.isIE9,config:{styles:{}},settings:e.config.menuSettings,Startup:function(){return MathJax.Ajax.Styles(this.config.styles)},Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(e.config.displayAlign!=="center"){var h=e.config.displayAlign,f=e.config.displayIndent;var g={"text-align":h+"!important"};g["margin-"+h]=f+"!important";MathJax.Hub.Insert(this.config.styles,{"div.MathJax_MathML":g,"div.MathJax_MathML math":{"text-align":h},"div.MathJax_MathContainer > span":{"text-align":h+"!important"}})}},Translate:function(g){if(!g.parentNode){return}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS",src:"local('MathJax_AMS'), url('"+f+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+f+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+f+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+f+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+f+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+f+"/MathJax_Caligraphic-Bold.otf')"}}}})}a.TeXAtom.Augment({toNativeMML:function(h){var g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);
+(function(b,e,d){var a,c=e.Browser.isMSIE;b.Augment({LEFTBUTTON:(c?1:0),MENUKEY:"altKey",noContextMenuBug:e.Browser.isKonequeror,msieQuirks:(c&&!(document.compatMode==="BackCompat")),msieEventBug:e.Browser.isIE9,config:{styles:{}},settings:e.config.menuSettings,Startup:function(){return MathJax.Ajax.Styles(this.config.styles)},Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(e.config.displayAlign!=="center"){var h=e.config.displayAlign,f=e.config.displayIndent;var g={"text-align":h+"!important"};g["margin-"+h]=f+"!important";MathJax.Hub.Insert(this.config.styles,{"div.MathJax_MathML":g,"div.MathJax_MathML math":{"text-align":h},"div.MathJax_MathContainer > span":{"text-align":h+"!important"}})}},InitializeMML:function(){this.initialized=true;if(MathJax.Hub.Browser.isMSIE){try{var f=document.createElement("object");f.id="mathplayer";f.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(f);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(g){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}},Translate:function(g){if(!g.parentNode){return}if(!this.initialized){this.InitializeMML()}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(!i){i=window.event}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS",src:"local('MathJax_AMS'), url('"+f+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+f+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+f+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+f+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+f+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+f+"/MathJax_Caligraphic-Bold.otf')"}}}})}a.TeXAtom.Augment({toNativeMML:function(h){var g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(j){for(var h=0,g=this.data.length;h<g;h++){j.appendChild(this.data[h].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);