commit 820afa0357c905bc82a6fe833b78829b63b19acf
parent 3cd69cf6ae74e7655f0ed8bf981c87276eb3e10f
Author: Davide P. Cervone <dpvc@union.edu>
Date: Wed, 24 Aug 2011 11:24:15 -0400
Repack and recombine (plus remove unused variables)
Diffstat:
19 files changed, 64 insertions(+), 48 deletions(-)
diff --git a/MathJax.js b/MathJax.js
@@ -26,5 +26,5 @@ if (!window.MathJax) {window.MathJax = {}}
MathJax.isPacked = true;
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j.Push({})},Register:function(h){if(!c.config.inputJax){c.config.inputJax={}}c.config.inputJax[h]=this}},{version:"1.1",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({Register:function(i){var h=c.config.outputJax;if(!h[i]){h[i]=[]}if(h[i].length&&(this.id===c.config.menuSettings.renderer||(h.order[this.id]||0)<(h.order[h[i][0].id]||0))){h[i].unshift(this)}else{h[i].push(this)}if(!this.require){this.require=[]}else{if(!(this.require instanceof Array)){this.require=[this.require]}}this.require.push(b.ElementJax.directory+"/"+(i.split(/\//)[1])+"/"+this.JAXFILE)},Remove:function(h){}},{version:"1.1.1",directory:g.directory+"/output",extensionDir:g.extensionDir,fontDir:e+(b.isPacked?"":"/..")+"/fonts",imageDir:e+(b.isPacked?"":"/..")+"/images"});b.ElementJax=g.Subclass({Init:function(i,h){return this.constructor.Subclass(i,h)},inputJax:null,outputJax:null,inputID:null,originalText:"",mimeType:"",Text:function(i,j){var h=this.SourceElement();b.HTML.setScript(h,i);h.MathJax.state=this.STATE.UPDATE;return c.Update(h,j)},Reprocess:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.UPDATE;return c.Reprocess(h,i)},Update:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(){if(this.hover){this.hover.clear(this)}this.outputJax.Remove(this);c.signal.Post(["Remove Math",this.inputID]);this.Detach()},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=(i.text==""?i.innerHTML:i.text);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}},Detach:function(){var h=this.SourceElement();if(!h){return}try{delete h.MathJax}catch(i){h.MathJax=null}if(this.newID){h.id=""}},Clone:function(h){var i;for(i in this){if(!this.hasOwnProperty(i)){continue}if(typeof(h[i])==="undefined"&&i!=="newID"){delete this[i]}}for(i in h){if(!this.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{version:"1.1.1",directory:g.directory+"/element",extensionDir:g.extensionDir,ID:0,STATE:{PENDING:1,PROCESSED:2,UPDATE:3,OUTPUT:4},GetID:function(){this.ID++;return"MathJax-Element-"+this.ID},Subclass:function(){var h=g.Subclass.apply(this,arguments);h.loadComplete=this.prototype.loadComplete;return h}});b.ElementJax.prototype.STATE=b.ElementJax.STATE})("MathJax");(function(l){var f=window[l];if(!f){f=window[l]={}}var c=f.Hub;var q=c.Startup;var u=c.config;var e=document.getElementsByTagName("head")[0];if(!e){e=document.childNodes[0]}var b=(document.documentElement||document).getElementsByTagName("script");var d=new RegExp("(^|/)"+l+"\\.js(\\?.*)?$");for(var o=b.length-1;o>=0;o--){if(b[o].src.match(d)){q.script=b[o].innerHTML;if(RegExp.$2){var r=RegExp.$2.substr(1).split(/\&/);for(var n=0,h=r.length;n<h;n++){var k=r[n].match(/(.*)=(.*)/);if(k){q.params[unescape(k[1])]=unescape(k[2])}}}u.root=b[o].src.replace(/(^|\/)[^\/]*(\?.*)?$/,"");break}}f.Ajax.config=u;var a={isMac:(navigator.platform.substr(0,3)==="Mac"),isPC:(navigator.platform.substr(0,3)==="Win"),isMSIE:(window.ActiveXObject!=null&&window.clipboardData!=null),isFirefox:(window.netscape!=null&&document.ATTRIBUTE_NODE!=null&&!window.opera),isSafari:(navigator.userAgent.match(/ (Apple)?WebKit\//)!=null&&!window.chrome),isChrome:(window.chrome!=null&&window.chrome.loadTimes!=null),isOpera:(window.opera!=null&&window.opera.version!=null),isKonqueror:(window.hasOwnProperty&&window.hasOwnProperty("konqueror")&&navigator.vendor=="KDE"),versionAtLeast:function(x){var w=(this.version).split(".");x=(new String(x)).split(".");for(var y=0,j=x.length;y<j;y++){if(w[y]!=x[y]){return parseInt(w[y]||"0")>=parseInt(x[y])}}return true},Select:function(j){var i=j[c.Browser];if(i){return i(c.Browser)}return null}};var g=navigator.userAgent.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");c.Browser=c.Insert(c.Insert(new String("Unknown"),{version:"0.0"}),a);for(var t in a){if(a.hasOwnProperty(t)){if(a[t]&&t.substr(0,2)==="is"){t=t.slice(2);if(t==="Mac"||t==="PC"){continue}c.Browser=c.Insert(new String(t),a);var p=new RegExp(".*(Version)/((?:\\d+\\.)+\\d+)|.*("+t+")"+(t=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var s=p.exec(g)||["","","","unknown","0.0"];c.Browser.name=(s[1]=="Version"?t:(s[3]||s[5]));c.Browser.version=s[2]||s[4]||s[6];break}}}c.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if(j.version==="0.0"&&navigator.product==="Gecko"&&navigator.productSub){var i=navigator.productSub.substr(0,8);if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||navigator.userAgent.match(/ Fennec\//)!=null)},Opera:function(i){i.version=opera.version()},MSIE:function(i){i.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!i.isIE9||document.documentMode<9}});c.Browser.Select(MathJax.Message.browsers);c.queue=f.Callback.Queue();c.queue.Push(["Post",q.signal,"Begin"],["Config",q],["Cookie",q],["Styles",q],["Message",q],function(){var i=f.Callback.Queue(q.Jax(),q.Extensions());return i.Push({})},["Menu",q],q.onLoad(),function(){MathJax.isReady=true},["Typeset",q],["Post",q.signal,"End"])})("MathJax")}};
diff --git a/config/Accessible-full.js b/config/Accessible-full.js
@@ -56,9 +56,9 @@ MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJa
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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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:"1.1.5",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");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.7",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,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="1.1.1";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");
@@ -66,9 +66,9 @@ MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],di
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(/ /g," ")}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 c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(/</g,"<").replace(/>/g,">").replace(/"/g,""")},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="<"/)&&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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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 e,b;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var g=MathJax.Extension.MathZoom={version:j,settings:a.config.menuSettings,HandleEvent:function(m,k,l){if(g.settings.CTRL&&!m.ctrlKey){return true}if(g.settings.ALT&&!m.altKey){return true}if(g.settings.CMD&&!m.metaKey){return true}if(g.settings.Shift&&!m.shiftKey){return true}if(!g[k]){return true}return g[k](m,l)},Click:function(l,k){if(this.settings.zoom==="Click"){return this.Zoom(k,l)}},DblClick:function(l,k){if(this.settings.zoom==="Double-Click"){return this.Zoom(k,l)}},Hover:function(l,k){if(this.settings.zoom==="Hover"){this.Zoom(k,l);return true}return false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var 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i=this.NativeMMLelement("mrow");this.data[0].toNativeMML(i);j.appendChild(i)}});a.chars.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(l){for(var k=0,j=this.data.length;k<j;k++){l.appendChild(this.data[k].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(i){this.Core().toNativeMML(i)}})});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,MathJax.HTML,MathJax.HTML.Event);
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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(k){if(!k.parentNode){return}if(!this.initialized){this.InitializeMML()}var p=k.previousSibling;if(p&&String(p.className).match(/^MathJax(_MathML|_Display)?$/)){p.parentNode.removeChild(p)}var o=k.MathJax.elementJax.root;var n=(o.Get("display")==="block"?"div":"span");var m=d.Element(n,{className:"MathJax_MathML",style:{"font-size":this.config.scale+"%"}},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]),j=m.firstChild;o.toNativeMML(j.firstChild);k.parentNode.insertBefore(m,k);if(h){if(j.addEventListener){j.addEventListener("contextmenu",g.Menu,true);j.addEventListener("mouseover",g.Mouseover,true);j.addEventListener("mouseout",g.Mouseout,true);j.addEventListener("mousedown",g.Mousedown,true);j.addEventListener("mouseup",g.False,true);j.addEventListener("click",g.Click,true);j.addEventListener("dblclick",g.DblClick,true)}else{var l=(this.config.showMathMenuMSIE!=null?this:b).config;if(l.showMathMenuMSIE){this.MSIEoverlay(j)}}}else{j.oncontextmenu=g.Menu;j.onmouseover=g.Mouseover;j.onmouseout=g.Mouseout;j.onmousedown=g.Mousedown;j.onclick=g.Click;j.ondblclick=g.DblClick}},Remove:function(j){var k=j.SourceElement();if(!k){return}k=k.previousSibling;if(!k){return}if(k.className.match(/MathJax_MathML/)){k.parentNode.removeChild(k)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(j){var k=j.firstChild;if(k.nodeName.toLowerCase()==="span"){k=k.firstChild}var l=this.getHoverBBox(null,k,{});d.addElement(j,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:c.Px(-l.w),top:c.Px(-l.h-(l.y||0)-1),width:c.Px(l.w),height:c.Px(l.h+l.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);b.Insert(j,{msieMath:k,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var k=window.event;var j=i.MSIEevents[k.type];if(i[j]&&i[j](k,this)===false){return false}if(MathJax.Extension.MathZoom&&MathJax.Extension.MathZoom.HandleEvent(k,j,this)===false){return false}if(k.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){this.msieMath.fireEvent("on"+k.type,k)}return g.False(k)},getJaxFromMath:function(j){if(j.className==="MathJax_MSIE_Overlay"){j=j.parentNode.parentNode}return b.getJaxFor(j.parentNode.nextSibling)},getHoverSpan:function(j,k){if(k.className==="MathJax_MSIE_Overlay"){return k.parentNode}return k.firstChild},getHoverBBox:function(l,n,o){n=n.parentNode;n.appendChild(this.topImg);var m=this.topImg.offsetTop,p=n.offsetHeight-m,k=n.offsetWidth;n.removeChild(this.topImg);var j=(o.className==="MathJax_MSIE_Overlay"?-k:0);return{w:k,h:m,d:p,x:j}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(o){var l=this.NativeMMLelement(this.type);this.NativeMMLattributes(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)},NativeMMLattributes:function(l){var p=this.defaults;var r=this.NativeMMLcopyAttributes,o=this.NativeMMLskipAttributes;if(this.type==="mstyle"){p=e.math.prototype.defaults}for(var q in p){if(!o[q]&&p.hasOwnProperty(q)){if(this[q]!=null){l.setAttribute(q,this.NativeMMLattribute(q,this[q]))}}}for(var n=0,k=r.length;n<k;n++){if(this[r[n]]!=null){l.setAttribute(r[n],this.NativeMMLattribute(r[n],this[r[n]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(l,k){k=String(k);if(i.NAMEDSPACE[k]){k=i.NAMEDSPACE[k]}else{if(k.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){k=((1/18)*RegExp.$1)+"em"}else{if(k==="-tex-caligraphic"){k="script"}else{if(k==="-tex-oldstyle"){k="normal"}}}}return k},NativeMMLelement:function(k){var l=(h?document.createElement("mjx:"+k):document.createElementNS(i.MMLnamespace,k));l.isMathJax=true;return l}});e.mrow.Augment({toNativeMML:function(n){if(this.inferred&&this.parent.inferRow){for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,n)}}});e.msubsup.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.sup]==null){o="msub"}if(this.data[this.sub]==null){o="msup"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});e.munderover.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.under]==null){o="mover"}if(this.data[this.over]==null){o="munder"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(k){if(this.width){var l=(this.style||"").replace(/;\s*$/,"").split(";");l.push("width:"+this.width);this.style=l.join(";")}this.SUPER(arguments).toNativeMML.call(this,k)}});e.mlabeledtr.Augment({toNativeMML:function(o){var l=this.NativeMMLelement("mtr");this.NativeMMLattributes(l);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)}});var j=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";i.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('"+j+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+j+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+j+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+j+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+j+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+j+"/MathJax_Caligraphic-Bold.otf')"}}}})}e.TeXAtom.Augment({toNativeMML:function(l){var k=this.NativeMMLelement("mrow");this.data[0].toNativeMML(k);l.appendChild(k)}});e.chars.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(n){for(var l=0,k=this.data.length;l<k;l++){n.appendChild(this.data[l].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(k){this.Core().toNativeMML(k)}})});setTimeout(MathJax.Callback(["loadComplete",i,"jax.js"]),0)});b.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;i.msieInlineBlockAlignBug=(!l||k);i.msieTopBug=(!j.versionAtLeast("8.0")||document.documentMode===7)},Opera:function(j){i.operaPositionBug=true}});i.topImg=(i.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(i.operaPositionBug||i.msieTopBug){i.topImg.style.border="1px solid"}b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
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this.testFont(this.FontInfo[h])},testFont:function(k){if(k.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(k.weight||"normal");this.div.style.fontStyle=(k.style||"normal")}var j=this.getComparisonWidths(k.testString,k.noStyleChar);if(j){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==j[0]){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[j[2]];if(this.div.offsetWidth==j[1]){return false}}if(this.div.offsetWidth!=j[3]){if(k.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var l=0,h=this.testSize.length;l<h;l++){if(this.testStyleChar(k,this.testSize[l])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(j,l){var p=3+(j.weight?2:0)+(j.style?4:0);var i="",k=0;var o=this.div.style.fontSize;this.div.style.fontSize=l;if(e.msieItalicWidthBug&&j.style==="italic"){this.text.nodeValue=i=this.compChar;k=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+i}else{this.text.nodeValue=this.compChar+i}var h=this.div.offsetWidth-k;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+i}else{this.text.nodeValue=this.styleChar+i}var m=Math.floor((this.div.offsetWidth-k)/h+0.5);if(m===p){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+i}else{this.text.nodeValue=this.versionChar+i}j.version=Math.floor((this.div.offsetWidth-k)/h+1.5)/2}this.div.style.fontSize=o;return(m===p)},getComparisonWidths:function(l,k){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!k){l+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=l}else{this.text.nodeValue=l}this.div.style.fontFamily=this.comparisonFont[0];var j=this.div.offsetWidth,o=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];o=this.div.offsetWidth}for(var n=1,h=this.comparisonFont.length;n<h;n++){this.div.style.fontFamily=this.comparisonFont[n];if(this.div.offsetWidth!=j){return[j,this.div.offsetWidth,n,o]}}return null},loadWebFont:function(i){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+i.directory);var k=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+i.directory);var h=MathJax.Callback({});var j=MathJax.Callback(["loadComplete",this,i,k,h]);c.timer.start(c,[this.checkWebFont,i,j],1,this.timeout);return h},loadComplete:function(j,l,i,h){MathJax.Message.Clear(l);if(h===c.STATUS.OK){i();return}this.loadError(j);if(d.Browser.isFirefox&&e.allowWebFonts){var k=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){k+=":"+document.location.port}k+="/";if(c.fileURL(e.webfontDir).substr(0,k.length)!==k){this.firefoxFontError(j)}}e.loadWebFontError(j,i)},loadError:function(h){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+h.directory,null,2000)},firefoxFontError:function(h){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(h,i,j){if(h.time(j)){return}if(e.Font.testFont(i)){j(h.STATUS.OK)}else{setTimeout(h,h.delay)}},fontFace:function(j){var k=e.allowWebFonts;var m=e.FONTDATA.FONTS[j];if(e.msieFontCSSBug&&!m.family.match(/-Web$/)){m.family+="-Web"}var i=c.fileURL(e.webfontDir+"/"+k);var h=j.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!h.match(/-/)){h+="-Regular"}if(k==="svg"){h+=".svg#"+h}else{h+="."+k}var l={"font-family":m.family,src:"url('"+i+"/"+h+"')"};if(k==="svg"){l.src+=" format('svg')"}if(!(e.FontFaceBug&&m.isWebFont)){if(j.match(/-bold/)){l["font-weight"]="bold"}if(j.match(/-italic/)){l["font-style"]="italic"}}return l}});var f=MathJax.HTML.Event;var g=MathJax.HTML.Touch;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 i=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(i.scale){this.config.scale=i.scale}if(i.font&&i.font!=="Auto"){if(i.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(i.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(i.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(i.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var h=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!h&&this.allowWebFonts){h=this.config.webFont;if(h){this.webFonts=true}}if(!h&&this.config.imageFont){h=this.config.imageFont;this.imgFonts=true}if(h){this.fontInUse=h;this.fontDir+="/"+h;this.webfontDir+="/"+h;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 k=[],o=this.FONTDATA.VARIANT.normal.fonts;if(!(o instanceof Array)){o=[o]}for(var j=0,h=o.length;j<h;j++){k[j]=this.FONTDATA.FONTS[o[j]].family;if(!k[j]){k[j]=o[j]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":k.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 n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);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(l){}}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(l){}}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 j=0,h=e.config.preloadWebFonts.length;j<h;j++){var k=e.FONTDATA.FONTS[e.config.preloadWebFonts[j]];if(!k.available){e.Font.testFont(k)}}},Translate:function(n){if(!n.parentNode){return}var l=n.previousSibling;if(l&&String(l.className).match(/^MathJax(_MathML|_Display)?$/)){l.parentNode.removeChild(l)}var o=n.MathJax.elementJax.root,p,h,j;p=h=j=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:"HTML-CSS",oncontextmenu:f.Menu,onmousedown:f.Mousedown,onmouseover:f.Mouseover,onmouseout:f.Mouseout,onmousemove:f.Mousemove,onclick:f.Click,ondblclick:f.DblClick});if(MathJax.Hub.Browser.noContextMenu){p.ontouchstart=g.start;p.ontouchend=g.end}var k=(o.Get("display")==="block");if(k){h=j=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});h.appendChild(p)}h.setAttribute("role","textbox");h.setAttribute("aria-readonly","true");if(this.useProcessingFrame){j=this.Element((k?"div":"span"),{className:"MathJax_Processing"});j.appendChild(h)}n.parentNode.insertBefore(j,n);var i;try{this.getScales(p);i=(this.em===0||String(this.em)==="NaN")}catch(m){i=true}if(i){this.hiddenDiv.appendChild(j);this.getScales(p)}this.initImg(p);this.initHTML(o,p);o.setTeXclass();try{o.toHTML(p,h)}catch(m){if(m.restart){j.parentNode.removeChild(j)}throw m}if(i){n.parentNode.insertBefore(j,n)}if(this.useProcessingFrame){j.parentNode.replaceChild(h,j)}},HandleEvent:f.HandleEvent,ContextMenu:function(i,h,j){if(this.config.showMathMenu&&(this.settings.context==="MathJax"||j)){if(this.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(this.msieEventBug){i=window.event}if(h.parentNode.className==="MathJax_Display"){h=h.parentNode}return f.ContextMenu(i,h)}},Mousedown:function(j,i){if(this.config.showMathMenu){if(this.settings.context==="MathJax"){if(!this.noContextMenuBug||j.button!==2){return}}else{var h=(f.msieButtonBug?j.buttons&1:j.button);if(!j[e.MENUKEY]||h!==e.LEFTBUTTON){return}}return this.ContextMenu(j,i,true)}},initImg:function(h){},initHTML:function(i,h){},initFont:function(h){var j=e.FONTDATA.FONTS,i=e.config.availableFonts;if(i&&i.length&&e.Font.testFont(j[h])){j[h].available=true;return null}if(!this.allowWebFonts){return null}j[h].isWebFont=true;if(e.FontFaceBug){j[h].family=h;if(e.msieFontCSSBug){j[h].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(h)})},Remove:function(h){var i=h.SourceElement();if(!i){return}i=i.previousSibling;if(!i){return}if(i.className.match(/^MathJax/)){i.parentNode.removeChild(i)}},getScales:function(j){j.parentNode.insertBefore(this.HDMspan,j);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var i=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var h=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(i/this.TeX.x_height)/h)*this.config.scale);j.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&h===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=h*this.scale/100}j.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(j)},getMarginScale:function(h){return 1},getMSIEmarginScale:function(j){j.appendChild(this.marginCheck);var h=this.marginCheck.offsetWidth,i=this.marginMove.offsetWidth;var k=(2*i-h?i/(2*i-h):1);j.removeChild(this.marginCheck);return k},getHD:function(i){var h=i.style.position;i.style.position="absolute";this.HDimg.style.height="0px";i.appendChild(this.HDspan);var j={h:i.offsetHeight};this.HDimg.style.height=j.h+"px";j.d=i.offsetHeight-j.h;j.h-=j.d;j.h/=this.em;j.d/=this.em;i.removeChild(this.HDspan);i.style.position=h;return j},getW:function(k){var i=k.offsetWidth,j=(k.bbox?k.bbox.w:-1),l=k;if((j<0||this.negativeSkipBug)&&i>=0){if(this.negativeSkipBug){var h=k.style.position;k.style.position="absolute";l=this.startMarker;if(k.firstChild){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}l=this.startMarker}k.appendChild(this.endMarker);i=this.endMarker.offsetLeft-l.offsetLeft;k.removeChild(this.endMarker);if(this.negativeSkipBug){k.removeChild(l);k.style.position=h}}return i/this.em},Measured:function(j,i){if(j.bbox.width==null&&j.bbox.w&&!j.bbox.isMultiline){var h=this.getW(j);j.bbox.rw+=h-j.bbox.w;j.bbox.w=h}if(!i){i=j.parentNode}if(!i.bbox){i.bbox=j.bbox}return j},Remeasured:function(i,h){h.bbox=this.Measured(i,h).bbox},Em:function(h){if(Math.abs(h)<0.0006){return"0em"}return h.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(h){return(100*h).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(h){return this.Percent(this.length2em(h))},length2em:function(n,k){if(typeof(n)!=="string"){n=n.toString()}if(n===""){return""}if(n===a.SIZE.NORMAL){return 1}if(n===a.SIZE.BIG){return 2}if(n===a.SIZE.SMALL){return 0.71}if(n==="infinity"){return e.BIGDIMEN}var j=this.FONTDATA.TeX_factor;if(n.match(/mathspace$/)){return e.MATHSPACE[n]*j}var i=n.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var h=parseFloat(i[1]||"1"),l=i[2];if(k==null){k=1}if(l==="em"){return h*j}if(l==="ex"){return h*e.TeX.x_height*j}if(l==="%"){return h/100*k}if(l==="px"){return h/e.em}if(l==="pt"){return h/10*j}if(l==="pc"){return h*1.2*j}if(l==="in"){return h*this.pxPerInch/e.em}if(l==="cm"){return h*this.pxPerInch/e.em/2.54}if(l==="mm"){return h*this.pxPerInch/e.em/25.4}if(l==="mu"){return h/18*j}return h*j*k},thickness2em:function(h){var i=e.TeX.rule_thickness;if(h===a.LINETHICKNESS.MEDIUM){return i}if(h===a.LINETHICKNESS.THIN){return 0.67*i}if(h===a.LINETHICKNESS.THICK){return 1.67*i}return this.length2em(h,i)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(i,h,j){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(h)}});if(j){i.insertBefore(k,i.firstChild)}else{i.appendChild(k)}return k},createShift:function(i,h,k){var j=this.Element("span",{style:{marginLeft:this.Em(h)},isMathJax:true});if(k){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}return j},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(j,l,i){if(this.msiePaddingWidthBug){this.createStrut(j,0)}var k=String(i).match(/%$/);var h=(!k&&i!=null?i:0);j=this.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(k?"100%":this.Em(h)),height:0}});if(!l){j.parentNode.bbox=j.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:h,lw:this.BIGDIMEN,rw:(!k&&i!=null?i:-this.BIGDIMEN)};if(k){j.bbox.width=i}}return j},createBox:function(i,h){var j=this.addElement(i,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(h!=null){j.style.width=h}return j},addBox:function(h,i){i.style.position="absolute";i.isBox=true;return h.appendChild(i)},placeBox:function(p,o,n,k){p.isMathJax=true;var q=p.parentNode,z=p.bbox,u=q.bbox;if(this.msiePlaceBoxBug){this.addText(p,this.NBSP)}if(this.imgSpaceBug){this.addText(p,this.imgSpace)}var s=p.offsetHeight/this.em+1,B=0;if(p.noAdjust){s-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(p,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(s)}})}else{this.addElement(p,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(s)}})}}p.style.top=this.Em(-n-s);p.style.left=this.Em(o+B);if(z){if(this.negativeSkipBug){if(z.lw<0){B=z.lw;e.createBlank(p,-B,true);j=0}if(z.rw>z.w){e.createBlank(p,z.rw-z.w+0.1)}}if(!this.msieClipRectBug&&!z.noclip&&!k){var w=3/this.em;var v=(z.H==null?z.h:z.H),i=(z.D==null?z.d:z.D);var A=s-v-w,m=s+i+w,j=z.lw-3*w,h=1000;if(z.isFixed){h=z.width-j}p.style.clip="rect("+this.Em(A)+" "+this.Em(h)+" "+this.Em(m)+" "+this.Em(j)+")"}}if(z&&u){if(z.H!=null&&(u.H==null||z.H+n>u.H)){u.H=z.H+n}if(z.D!=null&&(u.D==null||z.D-n>u.D)){u.D=z.D-n}if(z.h+n>u.h){u.h=z.h+n}if(z.d-n>u.d){u.d=z.d-n}if(u.H!=null&&u.H<=u.h){delete u.H}if(u.D!=null&&u.D<=u.d){delete u.D}if(z.w+o>u.w){u.w=z.w+o;if(u.width==null){q.style.width=this.Em(u.w)}}if(z.rw+o>u.rw){u.rw=z.rw+o}if(z.lw+o<u.lw){u.lw=z.lw+o}if(z.width!=null&&!z.isFixed){if(u.width==null){q.style.width=u.width="100%"}p.style.width=z.width}}},alignBox:function(j,p,o){this.placeBox(j,0,o);var m=j.bbox;if(m.isMultiline){return}var i=m.width!=null&&!m.isFixed;var k=0,n=-m.w/2,h="50%";if(this.negativeSkipBug){k=m.w-m.rw-0.1;n+=m.lw}n=this.Em(n*this.msieMarginScale);if(i){n="";h=(50-parseFloat(m.width)/2)+"%"}d.Insert(j.style,({right:{left:"",right:this.Em(k)},center:{left:h,marginLeft:n}})[p])},setStackWidth:function(i,h){if(typeof(h)==="number"){i.style.width=this.Em(Math.max(0,h));if(i.bbox){i.bbox.w=h}if(i.parentNode.bbox){i.parentNode.bbox.w=h}}else{i.style.width=i.parentNode.style.width="100%";if(i.bbox){i.bbox.width=h}if(i.parentNode.bbox){i.parentNode.bbox.width=h}}},createDelimiter:function(s,h,k,o,l){if(!h){s.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};s.bbox.rw=s.bbox.w;this.createSpace(s,s.bbox.h,s.bbox.d,s.bbox.w);return}if(!o){o=1}if(!(k instanceof Array)){k=[k,k]}var r=k[1];k=k[0];var j={alias:h};while(j.alias){h=j.alias;j=this.FONTDATA.DELIMITERS[h];if(!j){j={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var q=0,n=j.HW.length;q<n;q++){if(j.HW[q][0]*o>=k-0.01||(q==n-1&&!j.stretch)){if(j.HW[q][2]){o*=j.HW[q][2]}if(j.HW[q][3]){h=j.HW[q][3]}var p=this.addElement(s,"span");this.createChar(p,[h,j.HW[q][1]],o,l);s.bbox=p.bbox;s.offset=0.65*s.bbox.w;s.scale=o;return}}if(j.stretch){this["extendDelimiter"+j.dir](s,r,j.stretch,o,l)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(y,j,B,D,t){var o=this.createStack(y,true);var l=this.createBox(o),z=this.createBox(o);this.createChar(l,(B.left||B.rep),D,t);this.createChar(z,(B.right||B.rep),D,t);var h=this.Element("span");this.createChar(h,B.rep,D,t);var A={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},i;this.placeBox(l,-l.bbox.lw,0,true);var r=(l.bbox.rw-l.bbox.lw)+(z.bbox.rw-z.bbox.lw)-0.05,q=l.bbox.rw-l.bbox.lw-0.025,s;if(B.mid){A=this.createBox(o);this.createChar(A,B.mid,D,t);r+=A.bbox.w}if(j>r){var C=h.bbox.rw-h.bbox.lw,m=C-0.05,u,p,v=(B.mid?2:1);p=u=Math.ceil((j-r)/(v*m));m=(j-r)/(v*u);s=(u/(u+1))*(C-m);m=C-s;q-=h.bbox.lw+s;while(v-->0){while(u-->0){if(!this.msieCloneNodeBug){i=h.cloneNode(true)}else{i=this.Element("span");this.createChar(i,B.rep,D,t)}this.placeBox(this.addBox(o,i),q,0,true);q+=m}if(B.mid&&v){this.placeBox(A,q,0,true);q+=A.bbox.w-s;u=p}}}else{s=Math.min(r-j,l.bbox.w/2);q-=s/2;if(B.mid){this.placeBox(A,q,0,true);q+=A.bbox.w}q-=s/2}this.placeBox(z,q,0,true);y.bbox={w:q+z.bbox.rw,lw:0,rw:q+z.bbox.rw,H:Math.max(l.bbox.h,h.bbox.h,z.bbox.h,A.bbox.h),D:Math.max(l.bbox.d,h.bbox.d,z.bbox.d,A.bbox.d),h:h.bbox.h,d:h.bbox.d};y.scale=D;y.isMultiChar=true;this.setStackWidth(o,y.bbox.w)},createChar:function(q,n,k,h){q.isMathJax=true;var p=q,r="",l={fonts:[n[1]],noRemap:true};if(h&&h===a.VARIANT.BOLD){l.fonts=[n[1]+"-bold",n[1]]}if(typeof(n[1])!=="string"){l=n[1]}if(n[0] instanceof Array){for(var 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w="",u,A,r,j,z,B,h=x;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(A===this.PLANE1){y++;u=q.charCodeAt(y)+119808-56320;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u]}r=this.lookupChar(l,u);A=r[u];if(l!==z&&!A[5].img){if(w.length){this.addText(h,w);w=""}h=x;z=j;if(l!==z){if(z){h=this.addElement(x,"span",{isMathJax:true})}else{j=l}}this.handleFont(h,r,h!==x);z=l}w=this.handleChar(h,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(h,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},handleFont:function(j,h,l){j.style.fontFamily=h.family;if(!(e.FontFaceBug&&h.isWebFont)){var 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h.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(h){if(this.isEmbellished()){return this.Core().HTMLcanStretch(h)}return false},HTMLstretchH:function(i,h){return this.HTMLspanElement()},HTMLstretchV:function(j,i,k){return this.HTMLspanElement()},HTMLnotEmpty:function(h){while(h){if((h.type!=="mrow"&&h.type!=="texatom")||h.data.length>1){return true}h=h.data[0]}return false},HTMLmeasureChild:function(i,h){if(this.data[i]!=null){e.Measured(this.data[i].toHTML(h),h)}else{h.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(h){if(this.spanID){var i=this.HTMLspanElement();if(i){while(i.firstChild){i.removeChild(i.firstChild)}i.bbox={w:0,h:0,d:0,lw:0,rw:0};i.scale=1;i.isMultChar=null;i.style.cssText="";return i}}if(this.href){h=e.addElement(h,"a",{href:this.href,isMathJax:true})}h=e.addElement(h,"span",{className:this.type,isMathJax:true});if(e.imgHeightBug){h.style.display="inline-block"}if(this["class"]!=null){h.className+=" "+this["class"]}if(this.style){h.style.cssText=this.style;if(h.style.fontSize){this.mathsize=h.style.fontSize;h.style.fontSize=""}}this.spanID=e.GetID();h.id=(this.id||"MathJax-Span-"+this.spanID)+e.idPostfix;h.bbox={w:0,h:0,d:0,lw:0,lr:0};if(this.href){h.parentNode.bbox=h.bbox}return h},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+e.idPostfix)},HTMLhandleVariant:function(i,h,j){e.handleVariant(i,h,j)},HTMLhandleSize:function(h){if(!h.scale){h.scale=this.HTMLgetScale();if(h.scale!==1){h.style.fontSize=e.Percent(h.scale)}}return h},HTMLhandleColor:function(m){var o=this.getValues("mathcolor","color");if(this.mathbackground){o.mathbackground=this.mathbackground}if(this.background){o.background=this.background}if(this.style&&m.style.backgroundColor){o.mathbackground=m.style.backgroundColor;m.style.backgroundColor="transparent"}if(o.color&&!this.mathcolor){o.mathcolor=o.color}if(o.background&&!this.mathbackground){o.mathbackground=o.background}if(o.mathcolor){m.style.color=o.mathcolor}if(o.mathbackground&&o.mathbackground!==a.COLOR.TRANSPARENT){var p=1/e.em,l=0,k=0;if(this.isToken){l=m.bbox.lw;k=m.bbox.rw-m.bbox.w}if(m.style.paddingLeft!==""){l+=parseFloat(m.style.paddingLeft)*(m.scale||1)}if(m.style.paddingRight!==""){k-=parseFloat(m.style.paddingRight)*(m.scale||1)}var j=Math.max(0,e.getW(m)+(e.PaddingWidthBug?0:k-l));if(e.msieCharPaddingWidthBug&&m.style.paddingLeft!==""){j+=parseFloat(m.style.paddingLeft)*(m.scale||1)}var n=m.bbox.h+m.bbox.d,h=-m.bbox.d;if(j>0){j+=2*p;l-=p}if(n>0){n+=2*p;h-=p}k=-j-l;var i=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:o.mathbackground,width:e.Em(j),height:e.Em(n),verticalAlign:e.Em(h),marginLeft:e.Em(l),marginRight:e.Em(k)}});if(e.msieInlineBlockAlignBug){i.style.position="relative";i.style.width=i.style.height=0;i.style.verticalAlign=i.style.marginLeft=i.style.marginRight="";e.placeBox(e.addElement(i,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(j),height:e.Em(n),background:o.mathbackground}}),l,m.bbox.h+p)}m.parentNode.insertBefore(i,m);if(e.msieColorPositionBug){m.style.position="relative"}return i}return null},HTMLremoveColor:function(){var h=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(h){h.parentNode.removeChild(h)}},HTMLhandleSpace:function(k){if(this.useMMLspacing){if(this.type!=="mo"){return}var i=this.getValues("scriptlevel","lspace","rspace");if(i.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){i.lspace=Math.max(0,e.length2em(i.lspace));i.rspace=Math.max(0,e.length2em(i.rspace));var h=this,j=this.Parent();while(j&&j.isEmbellished()&&j.Core()===h){h=j;j=j.Parent();k=h.HTMLspanElement()}if(i.lspace){k.style.paddingLeft=e.Em(i.lspace)}if(i.rspace){k.style.paddingRight=e.Em(i.rspace)}}}else{var l=this.texSpacing();if(l!==""){l=e.length2em(l)/(k.scale||1);if(k.style.paddingLeft){l+=parseFloat(k.style.paddingLeft)}k.style.paddingLeft=e.Em(l)}}},HTMLgetScale:function(){var j=1,h=this.getValues("mathsize","scriptlevel","fontsize","scriptminsize");if(this.style){var i=this.HTMLspanElement();if(i.style.fontSize!=""){h.fontsize=i.style.fontSize}}if(h.fontsize&&!this.mathsize){h.mathsize=h.fontsize}if(h.scriptlevel!==0){if(h.scriptlevel>2){h.scriptlevel=2}j=Math.pow(this.Get("scriptsizemultiplier"),h.scriptlevel);h.scriptminsize=e.length2em(h.scriptminsize);if(j<h.scriptminsize){j=h.scriptminsize}}j*=e.length2em(h.mathsize);return j},HTMLgetVariant:function(){var h=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var j=this.HTMLspanElement();if(j.style.fontFamily){h.fontfamily=j.style.fontFamily}if(j.style.fontWeight){h.fontweight=j.style.fontWeight}if(j.style.fontStyle){h.fontStyle=j.style.fontStyle}}var i=h.mathvariant;if(this.variantForm){i="-"+e.fontInUse+"-variant"}if(h.fontfamily&&!this.mathvariant){if(!h.fontweight&&h.mathvariant.match(/bold/)){h.fontweight="bold"}if(!h.fontstyle&&h.mathvariant.match(/italic/)){h.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:h.fontfamily,style:h.fontstyle,weight:h.fontweight}}}if(h.fontweight==="bold"){i={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}[i]||i}else{if(h.fontweight==="normal"){i={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}[i]||i}}if(h.fontstyle==="italic"){i={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[i]||i}else{if(h.fontstyle==="normal"){i={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[i]||i}}return 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j=n.bbox={},o=[];this.HTMLcheckStretchy(this.data.open,j,o,l);this.HTMLcheckStretchy(this.data[0],j,o,l);for(var k=1,h=this.data.length;k<h;k++){if(this.data[k]){this.HTMLcheckStretchy(this.data["sep"+k],j,o,l);this.HTMLcheckStretchy(this.data[k],j,o,l)}}this.HTMLcheckStretchy(this.data.close,j,o,l);this.HTMLcleanBBox(j);return o},HTMLcheckStretchy:function(h,i,k,j){if(h){if(!j&&h.HTMLcanStretch("Vertical")){k.push(h);h=(h.CoreMO()||h)}this.HTMLcombineBBoxes(h,i)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(h){if(this.data[0]!=null){h=this.data[0].toHTML(h);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(h)}return 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o=[],K=[],s,J,F,j=-e.BIGDIMEN,H=j;for(J=0,F=this.data.length;J<F;J++){if(this.data[J]!=null){s=o[J]=e.createBox(n);e.Measured(this.data[J].toHTML(s),s);if(J==this.base){if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchV(s,E,B),s)}else{if(E!=null){e.Remeasured(this.data[this.base].HTMLstretchH(s,E),s)}}K[J]=(B==null&&E!=null?false:this.data[J].HTMLcanStretch("Horizontal"))}else{K[J]=this.data[J].HTMLcanStretch("Horizontal")}if(s.bbox.w>H){H=s.bbox.w}if(!K[J]&&H>j){j=H}}}if(B==null&&E!=null){j=E}else{if(j==-e.BIGDIMEN){j=H}}for(J=H=0,F=this.data.length;J<F;J++){if(this.data[J]){s=o[J];if(K[J]){s.bbox=this.data[J].HTMLstretchH(s,j).bbox}if(s.bbox.w>H){H=s.bbox.w}}}var A=e.TeX.rule_thickness,C=e.FONTDATA.TeX_factor;var l=o[this.base]||{bbox:this.HTMLzeroBBox()},L=(l.bbox.ic||0);var r,p,v,u,q,z,G;for(J=0,F=this.data.length;J<F;J++){if(this.data[J]!=null){s=o[J];q=e.TeX.big_op_spacing5*M;var w=(J!=this.base&&h[this.ACCENTS[J]]);if(w&&s.bbox.w<=1/e.em+0.0001){s.bbox.w=s.bbox.rw-s.bbox.lw;s.bbox.noclip=true;if(s.bbox.lw&&!e.zeroWidthBug){s.insertBefore(e.createSpace(s.parentNode,0,0,-s.bbox.lw),s.firstChild)}e.createBlank(s,0,0,s.bbox.rw+0.1)}z={left:0,center:(H-s.bbox.w)/2,right:H-s.bbox.w}[h.align];r=z;p=0;if(J==this.over){if(w){G=Math.max(A*M*C,2.5/this.em);q=0;if(l.bbox.skew){r+=l.bbox.skew}}else{v=e.TeX.big_op_spacing1*M*C;u=e.TeX.big_op_spacing3*M*C;G=Math.max(v,u-Math.max(0,s.bbox.d))}G=Math.max(G,1.5/this.em);r+=L;p=l.bbox.h+s.bbox.d+G;s.bbox.h+=q}else{if(J==this.under){if(w){G=3*A*M*C;q=0}else{v=e.TeX.big_op_spacing2*M*C;u=e.TeX.big_op_spacing4*M*C;G=Math.max(v,u-s.bbox.h)}G=Math.max(G,1.5/this.em);r-=L;p=-(l.bbox.d+s.bbox.h+G);s.bbox.d+=q}}e.placeBox(s,r,p)}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.msubsup.Augment({toHTML:function(F,C,y){F=this.HTMLcreateSpan(F);var I=this.HTMLgetScale();var l=e.createStack(F),i;var k=e.createBox(l);this.HTMLmeasureChild(this.base,k);if(this.data[this.base]){if(y!=null){e.Remeasured(this.data[this.base].HTMLstretchV(k,C,y),k)}else{if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchH(k,C),k)}}}e.placeBox(k,0,0);var j=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var G=e.TeX.x_height*I,x=e.TeX.scriptspace*I*0.75;var h,m;if(this.HTMLnotEmpty(this.data[this.sup])){h=e.createBox(l);e.Measured(this.data[this.sup].toHTML(h),h);h.bbox.w+=x;h.bbox.rw=Math.max(h.bbox.w,h.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){m=e.createBox(l);e.Measured(this.data[this.sub].toHTML(m),m);m.bbox.w+=x;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}var A=e.TeX.sup_drop*j,z=e.TeX.sub_drop*j;var o=k.bbox.h-A,n=k.bbox.d+z,H=0,B;if(k.bbox.ic){H=k.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&k.bbox.scale===1&&!this.data[this.base].Get("largeop")){o=n=0}}var E=this.getValues("subscriptshift","superscriptshift");E.subscriptshift=(E.subscriptshift===""?0:e.length2em(E.subscriptshift));E.superscriptshift=(E.superscriptshift===""?0:e.length2em(E.superscriptshift));if(!h){if(m){n=Math.max(n,e.TeX.sub1*I,m.bbox.h-(4/5)*G,E.subscriptshift);e.placeBox(m,k.bbox.w+x-H,-n,m.bbox)}}else{if(!m){i=this.getValues("displaystyle","texprimestyle");B=e.TeX[(i.displaystyle?"sup1":(i.texprimestyle?"sup3":"sup2"))];o=Math.max(o,B*I,h.bbox.d+(1/4)*G,E.superscriptshift);e.placeBox(h,k.bbox.w+x,o,h.bbox)}else{n=Math.max(n,e.TeX.sub2*I);var w=e.TeX.rule_thickness*I;if((o-h.bbox.d)-(m.bbox.h-n)<3*w){n=3*w-o+h.bbox.d+m.bbox.h;A=(4/5)*G-(o-h.bbox.d);if(A>0){o+=A;n-=A}}e.placeBox(h,k.bbox.w+x,Math.max(o,E.superscriptshift));e.placeBox(m,k.bbox.w+x-H,-Math.max(n,E.subscriptshift))}}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},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(o,h){var l=this.Get("alttext");if(l){h.setAttribute("aria-label",l)}var i=e.addElement(o,"nobr",{isMathJax:true});o=this.HTMLcreateSpan(i);var m=e.createStack(o),j=e.createBox(m),n;m.style.fontSize=i.parentNode.style.fontSize;i.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;n=e.Measured(this.data[0].toHTML(j),j)}e.placeBox(j,0,0);var k=e.em/e.outerEm;e.em/=k;o.bbox.h*=k;o.bbox.d*=k;o.bbox.w*=k;o.bbox.lw*=k;o.bbox.rw*=k;if(n&&n.bbox.width!=null){m.style.width=n.bbox.width;j.style.width="100%"}this.HTMLhandleColor(o);if(n){e.createRule(o,n.bbox.h*k,n.bbox.d*k,0)}if(!this.isMultiline&&this.Get("display")==="block"&&o.bbox.width==null){var p=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(p.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){p.indentalign=p.indentalignfirst}if(p.indentalign===a.INDENTALIGN.AUTO){p.indentalign=this.displayAlign}h.style.textAlign=p.indentalign;if(p.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){p.indentshift=p.indentshiftfirst}if(p.indentshift==="auto"){p.indentshift=this.displayIndent}if(p.indentshift&&p.indentalign!==a.INDENTALIGN.CENTER){o.style[{left:"marginLeft",right:"marginRight"}[p.indentalign]]=e.Em(e.length2em(p.indentshift))}}return o}});a.TeXAtom.Augment({toHTML:function(i){i=this.HTMLcreateSpan(i);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var h=e.createStack(i);var j=e.createBox(h);e.Measured(this.data[0].toHTML(j),j);e.placeBox(j,0,e.TeX.axis_height-(j.bbox.h+j.bbox.d)/2+j.bbox.d)}else{i.bbox=this.data[0].toHTML(i).bbox}}this.HTMLhandleSpace(i);this.HTMLhandleColor(i);return i}});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(h){var k=h.versionAtLeast("7.0");var j=h.versionAtLeast("8.0")&&document.documentMode>7;var i=(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:h.isIE9,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:i,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(j&&!i),msieBorderWidthBug:i,msieInlineBlockAlignBug:(!j||i),msieVerticalAlignBug:(j&&!i),msiePlaceBoxBug:(j&&!i),msieClipRectBug:!j,msieNegativeSpaceBug:i,msieCloneNodeBug:(j&&h.version==="8.0"),negativeSkipBug:true,msieIE6:!k,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:h.isIE9,allowWebFonts:"eot"})},Firefox:function(i){var j=false;if(i.versionAtLeast("3.5")){var h=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,h.length)===h){j="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:j})},Safari:function(l){var j=l.versionAtLeast("3.0");var i=l.versionAtLeast("3.1");var h=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var m=(i&&l.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!l.versionAtLeast("5.0"))||(h!=null&&(h[1]<2||(h[1]==2&&h[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:!i,safariTextNodeBug:!j,safariWebFontSerif:["serif"],allowWebFonts:(i&&!m?"otf":false)});if(m){var k=d.config["HTML-CSS"];if(k){k.availableFonts=[];k.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(h){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(h.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(h){h.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:h.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(h.versionAtLeast("10.0")&&!h.isMini?"otf":false),adjustAvailableFonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}}})},Konqueror:function(h){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(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],1,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;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 ! important"},".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,Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;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")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;var l=[],p=this.FONTDATA.VARIANT.normal.fonts;if(!(p instanceof Array)){p=[p]}for(var k=0,j=p.length;k<j;k++){l[k]=this.FONTDATA.FONTS[p[k]].family;if(!l[k]){l[k]=p[k]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":l.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 o=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=o.offsetWidth/5;this.hiddenDiv.removeChild(o);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(n){}}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(n){}}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 k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},Translate:function(p){if(!p.parentNode){return}var n=p.previousSibling;if(n&&String(n.className).match(/^MathJax(_MathML|_Display)?$/)){n.parentNode.removeChild(n)}var j=p.MathJax.elementJax,q=j.root,r,i,l;r=i=l=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:this.id,id:j.inputID+"-Span",oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(MathJax.Hub.Browser.noContextMenu){r.ontouchstart=h.start;r.ontouchend=h.end}var m=(q.Get("display")==="block");if(m){i=l=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});i.appendChild(r)}i.setAttribute("role","textbox");i.setAttribute("aria-readonly","true");if(this.useProcessingFrame){l=this.Element((m?"div":"span"),{className:"MathJax_Processing"});l.appendChild(i)}p.parentNode.insertBefore(l,p);var k;try{this.getScales(r);k=(this.em===0||String(this.em)==="NaN")}catch(o){k=true}if(k){this.hiddenDiv.appendChild(l);this.getScales(r)}this.initImg(r);this.initHTML(q,r);q.setTeXclass();try{q.toHTML(r,i)}catch(o){if(o.restart){l.parentNode.removeChild(l)}throw o}if(k){p.parentNode.insertBefore(l,p)}if(this.useProcessingFrame){l.parentNode.replaceChild(i,l)}},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i){return i.root.HTMLspanElement()},getHoverBBox:function(i,l){var m=l.bbox,k=e.outerEm;var j={w:m.w*k,h:m.h*k,d:m.d*k};if(m.width){j.width=m.width}return j},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=i.SourceElement();if(!j){return}j=j.previousSibling;if(!j){return}if(j.className.match(/^MathJax/)){j.parentNode.removeChild(j)}},getScales:function(k){k.parentNode.insertBefore(this.HDMspan,k);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var j=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var i=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(j/this.TeX.x_height)/i)*this.config.scale);k.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&i===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=i*this.scale/100}k.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(k)},getMarginScale:function(i){return 1},getMSIEmarginScale:function(k){k.appendChild(this.marginCheck);var i=this.marginCheck.offsetWidth,j=this.marginMove.offsetWidth;var l=(2*j-i?j/(2*j-i):1);k.removeChild(this.marginCheck);return l},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(l){var j=l.offsetWidth,k=(l.bbox?l.bbox.w:-1),m=l;if((k<0||this.negativeSkipBug)&&j>=0){if(this.negativeSkipBug){var i=l.style.position;l.style.position="absolute";m=this.startMarker;if(l.firstChild){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}m=this.startMarker}l.appendChild(this.endMarker);j=this.endMarker.offsetLeft-m.offsetLeft;l.removeChild(this.endMarker);if(this.negativeSkipBug){l.removeChild(m);l.style.position=i}}return j/this.em},Measured:function(k,j){if(k.bbox.width==null&&k.bbox.w&&!k.bbox.isMultiline){var i=this.getW(k);k.bbox.rw+=i-k.bbox.w;k.bbox.w=i}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=k.bbox}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(i){return this.Percent(this.length2em(i))},length2em:function(o,l){if(typeof(o)!=="string"){o=o.toString()}if(o===""){return""}if(o===a.SIZE.NORMAL){return 1}if(o===a.SIZE.BIG){return 2}if(o===a.SIZE.SMALL){return 0.71}if(o==="infinity"){return e.BIGDIMEN}var k=this.FONTDATA.TeX_factor;if(o.match(/mathspace$/)){return e.MATHSPACE[o]*k}var j=o.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(j[1]||"1"),n=j[2];if(l==null){l=1}if(n==="em"){return i*k}if(n==="ex"){return i*e.TeX.x_height*k}if(n==="%"){return i/100*l}if(n==="px"){return i/e.em}if(n==="pt"){return i/10*k}if(n==="pc"){return i*1.2*k}if(n==="in"){return i*this.pxPerInch/e.em}if(n==="cm"){return i*this.pxPerInch/e.em/2.54}if(n==="mm"){return i*this.pxPerInch/e.em/25.4}if(n==="mu"){return i/18*k}return i*k*l},thickness2em:function(i){var j=e.TeX.rule_thickness;if(i===a.LINETHICKNESS.MEDIUM){return j}if(i===a.LINETHICKNESS.THIN){return 0.67*j}if(i===a.LINETHICKNESS.THICK){return 1.67*j}return this.length2em(i,j)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u=q.offsetHeight/this.em+1,C=0;if(q.noAdjust){u-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.negativeSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.negativeSkipBug){m=n.w-n.rw-0.1;o+=n.lw}o=this.Em(o*this.msieMarginScale);if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));if(j.bbox){j.bbox.w=i}if(j.parentNode.bbox){j.parentNode.bbox.w=i}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));o=(l-s)/(y*v);t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(l!==1){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP;e.createSpace(r,0,0,-r.offsetWidth/e.em)}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(y,o,r){var x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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j=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:p.mathbackground,width:e.Em(k),height:e.Em(o),verticalAlign:e.Em(i),marginLeft:e.Em(m),marginRight:e.Em(l)}});if(e.msieInlineBlockAlignBug){j.style.position="relative";j.style.width=j.style.height=0;j.style.verticalAlign=j.style.marginLeft=j.style.marginRight="";e.placeBox(e.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(k),height:e.Em(o),background:p.mathbackground}}),m,n.bbox.h+q)}n.parentNode.insertBefore(j,n);if(e.msieColorPositionBug){n.style.position="relative"}return j}return null},HTMLremoveColor:function(){var i=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(i){i.parentNode.removeChild(i)}},HTMLhandleSpace:function(l){if(this.useMMLspacing){if(this.type!=="mo"){return}var 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j=this.HTMLspanElement();if(j.style.fontSize!=""){i.fontsize=j.style.fontSize}}if(i.fontsize&&!this.mathsize){i.mathsize=i.fontsize}if(i.scriptlevel!==0){if(i.scriptlevel>2){i.scriptlevel=2}k=Math.pow(this.Get("scriptsizemultiplier"),i.scriptlevel);i.scriptminsize=e.length2em(i.scriptminsize);if(k<i.scriptminsize){k=i.scriptminsize}}k*=e.length2em(i.mathsize);return k},HTMLgetVariant:function(){var i=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var k=this.HTMLspanElement();if(k.style.fontFamily){i.fontfamily=k.style.fontFamily}if(k.style.fontWeight){i.fontweight=k.style.fontWeight}if(k.style.fontStyle){i.fontStyle=k.style.fontStyle}}var j=i.mathvariant;if(this.variantForm){j="-"+e.fontInUse+"-variant"}if(i.fontfamily&&!this.mathvariant){if(!i.fontweight&&i.mathvariant.match(/bold/)){i.fontweight="bold"}if(!i.fontstyle&&i.mathvariant.match(/italic/)){i.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:i.fontfamily,style:i.fontstyle,weight:i.fontweight}}}if(i.fontweight==="bold"){j={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}[j]||j}else{if(i.fontweight==="normal"){j={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}[j]||j}}if(i.fontstyle==="italic"){j={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[j]||j}else{if(i.fontstyle==="normal"){j={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[j]||j}}return 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n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 0.45*(k-0.9*j)+0.6*j+Math.max(0,i.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(i,j,l,k){if(i){if(!k&&i.HTMLcanStretch("Vertical")){l.push(i);i=(i.CoreMO()||i)}this.HTMLcombineBBoxes(i,j)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(i){if(this.data[0]!=null){i=this.data[0].toHTML(i);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(i)}return 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p=[],L=[],u,K,G,l=-e.BIGDIMEN,I=l;for(K=0,G=this.data.length;K<G;K++){if(this.data[K]!=null){u=p[K]=e.createBox(o);e.Measured(this.data[K].toHTML(u),u);if(K==this.base){if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchV(u,F,C),u)}else{if(F!=null){e.Remeasured(this.data[this.base].HTMLstretchH(u,F),u)}}L[K]=(C==null&&F!=null?false:this.data[K].HTMLcanStretch("Horizontal"))}else{L[K]=this.data[K].HTMLcanStretch("Horizontal")}if(u.bbox.w>I){I=u.bbox.w}if(!L[K]&&I>l){l=I}}}if(C==null&&F!=null){l=F}else{if(l==-e.BIGDIMEN){l=I}}for(K=I=0,G=this.data.length;K<G;K++){if(this.data[K]){u=p[K];if(L[K]){u.bbox=this.data[K].HTMLstretchH(u,l).bbox}if(u.bbox.w>I){I=u.bbox.w}}}var B=e.TeX.rule_thickness,E=e.FONTDATA.TeX_factor;var n=p[this.base]||{bbox:this.HTMLzeroBBox()},M=(n.bbox.ic||0);var s,q,w,v,r,A,H;for(K=0,G=this.data.length;K<G;K++){if(this.data[K]!=null){u=p[K];r=e.TeX.big_op_spacing5*N;var 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J=this.HTMLgetScale();var m=e.createStack(G),j;var l=e.createBox(m);this.HTMLmeasureChild(this.base,l);if(this.data[this.base]){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(l,E,z),l)}else{if(E!=null){e.Remeasured(this.data[this.base].HTMLstretchH(l,E),l)}}}e.placeBox(l,0,0);var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var H=e.TeX.x_height*J,y=e.TeX.scriptspace*J*0.75;var i,n;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(m);e.Measured(this.data[this.sup].toHTML(i),i);i.bbox.w+=y;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){n=e.createBox(m);e.Measured(this.data[this.sub].toHTML(n),n);n.bbox.w+=y;n.bbox.rw=Math.max(n.bbox.w,n.bbox.rw)}var B=e.TeX.sup_drop*k,A=e.TeX.sub_drop*k;var w=l.bbox.h-B,o=l.bbox.d+A,I=0,C;if(l.bbox.ic){I=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){w=o=0}}var F=this.getValues("subscriptshift","superscriptshift");F.subscriptshift=(F.subscriptshift===""?0:e.length2em(F.subscriptshift));F.superscriptshift=(F.superscriptshift===""?0:e.length2em(F.superscriptshift));if(!i){if(n){o=Math.max(o,e.TeX.sub1*J,n.bbox.h-(4/5)*H,F.subscriptshift);e.placeBox(n,l.bbox.w+y-I,-o,n.bbox)}}else{if(!n){j=this.getValues("displaystyle","texprimestyle");C=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];w=Math.max(w,C*J,i.bbox.d+(1/4)*H,F.superscriptshift);e.placeBox(i,l.bbox.w+y,w,i.bbox)}else{o=Math.max(o,e.TeX.sub2*J);var 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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/config/Accessible.js b/config/Accessible.js
@@ -53,9 +53,9 @@ MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJa
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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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:"1.1.5",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");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.7",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,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="1.1.1";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");
@@ -63,9 +63,9 @@ MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],di
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(/ /g," ")}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 c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(/</g,"<").replace(/>/g,">").replace(/"/g,""")},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="<"/)&&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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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', 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false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var r=-Math.floor((q.offsetWidth-k)/2),p=o.Y;q.style.left=Math.max(r,20-n)+"px";q.style.top=Math.max(p,20-m)+"px"},Resize:function(m){if(g.onresize){g.onresize(m)}var k=0,p=0,o=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var n=(g.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):o);if(g.operaPositionBug){o.style.border="1px solid"}if(n.offsetParent){do{k+=n.offsetLeft;p+=n.offsetTop}while(n=n.offsetParent)}if(g.operaPositionBug){o.style.border=""}if(g.msieZIndexBug){o.style.left=k+"px";o.style.top=p+"px"}l.style.left=(-k)+"px";l.style.top=(-p)+"px";if(g.msiePositionBug){setTimeout(g.SetWH,0)}else{g.SetWH()}return{x:k,y:p}},SetWH:function(){var k=document.getElementById("MathJax_ZoomOverlay");k.style.width=k.style.height="1px";k.style.width=document.body.scrollWidth+"px";k.style.height=document.body.scrollHeight+"px"},Remove:function(l){var m=document.getElementById("MathJax_ZoomFrame");if(m){m.parentNode.removeChild(m);m=document.getElementById("MathJax_ZoomTracker");if(m){m.parentNode.removeChild(m)}if(g.operaRefreshBug){var k=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(k)}if(window.removeEventListener){removeEventListener("resize",g.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",g.Resize)}else{window.onresize=g.onresize;delete g.onresize}}}return e(l)}};a.Browser.Select({MSIE:function(k){var l=(document.compatMode==="BackCompat");var m=k.versionAtLeast("8.0")&&document.documentMode>7;g.msiePositionBug=true;g.msieWidthBug=!l;g.msieIE8Bug=m;g.msieZIndexBug=!m;g.msieInlineBlockAlignBug=(!m||l);if(document.documentMode>=9){delete h.styles["#MathJax_Zoom"].filter}},Opera:function(k){g.operaPositionBug=true;g.operaRefreshBug=true},Firefox:function(k){g.ffMMLwidthBug=true;g.ffMMLcenterBug=true}});g.topImg=(g.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(g.operaPositionBug){g.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",f,h.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
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l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" 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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]]," 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diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
@@ -34,17 +34,17 @@ MathJax.Hub.Config({"v1.0-compatible":false});
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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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:"1.1.5",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");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.7",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,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="1.1.1";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:"1.1.2",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(/ /g," ")}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 c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(/</g,"<").replace(/>/g,">").replace(/"/g,""")},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="<"/)&&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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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 e,b;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var g=MathJax.Extension.MathZoom={version:j,settings:a.config.menuSettings,HandleEvent:function(m,k,l){if(g.settings.CTRL&&!m.ctrlKey){return true}if(g.settings.ALT&&!m.altKey){return true}if(g.settings.CMD&&!m.metaKey){return true}if(g.settings.Shift&&!m.shiftKey){return true}if(!g[k]){return true}return g[k](m,l)},Click:function(l,k){if(this.settings.zoom==="Click"){return this.Zoom(k,l)}},DblClick:function(l,k){if(this.settings.zoom==="Double-Click"){return this.Zoom(k,l)}},Hover:function(l,k){if(this.settings.zoom==="Hover"){this.Zoom(k,l);return true}return false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var 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m=document.getElementById("MathJax_ZoomFrame");if(m){m.parentNode.removeChild(m);m=document.getElementById("MathJax_ZoomTracker");if(m){m.parentNode.removeChild(m)}if(g.operaRefreshBug){var k=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(k)}if(window.removeEventListener){removeEventListener("resize",g.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",g.Resize)}else{window.onresize=g.onresize;delete g.onresize}}}return e(l)}};a.Browser.Select({MSIE:function(k){var l=(document.compatMode==="BackCompat");var m=k.versionAtLeast("8.0")&&document.documentMode>7;g.msiePositionBug=true;g.msieWidthBug=!l;g.msieIE8Bug=m;g.msieZIndexBug=!m;g.msieInlineBlockAlignBug=(!m||l);if(document.documentMode>=9){delete 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i=this.NativeMMLelement("mrow");this.data[0].toNativeMML(i);j.appendChild(i)}});a.chars.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(l){for(var k=0,j=this.data.length;k<j;k++){l.appendChild(this.data[k].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(i){this.Core().toNativeMML(i)}})});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,MathJax.HTML,MathJax.HTML.Event);
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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(k){if(!k.parentNode){return}if(!this.initialized){this.InitializeMML()}var p=k.previousSibling;if(p&&String(p.className).match(/^MathJax(_MathML|_Display)?$/)){p.parentNode.removeChild(p)}var o=k.MathJax.elementJax.root;var n=(o.Get("display")==="block"?"div":"span");var m=d.Element(n,{className:"MathJax_MathML",style:{"font-size":this.config.scale+"%"}},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]),j=m.firstChild;o.toNativeMML(j.firstChild);k.parentNode.insertBefore(m,k);if(h){if(j.addEventListener){j.addEventListener("contextmenu",g.Menu,true);j.addEventListener("mouseover",g.Mouseover,true);j.addEventListener("mouseout",g.Mouseout,true);j.addEventListener("mousedown",g.Mousedown,true);j.addEventListener("mouseup",g.False,true);j.addEventListener("click",g.Click,true);j.addEventListener("dblclick",g.DblClick,true)}else{var l=(this.config.showMathMenuMSIE!=null?this:b).config;if(l.showMathMenuMSIE){this.MSIEoverlay(j)}}}else{j.oncontextmenu=g.Menu;j.onmouseover=g.Mouseover;j.onmouseout=g.Mouseout;j.onmousedown=g.Mousedown;j.onclick=g.Click;j.ondblclick=g.DblClick}},Remove:function(j){var k=j.SourceElement();if(!k){return}k=k.previousSibling;if(!k){return}if(k.className.match(/MathJax_MathML/)){k.parentNode.removeChild(k)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(j){var k=j.firstChild;if(k.nodeName.toLowerCase()==="span"){k=k.firstChild}var l=this.getHoverBBox(null,k,{});d.addElement(j,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:c.Px(-l.w),top:c.Px(-l.h-(l.y||0)-1),width:c.Px(l.w),height:c.Px(l.h+l.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);b.Insert(j,{msieMath:k,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var k=window.event;var j=i.MSIEevents[k.type];if(i[j]&&i[j](k,this)===false){return false}if(MathJax.Extension.MathZoom&&MathJax.Extension.MathZoom.HandleEvent(k,j,this)===false){return false}if(k.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){this.msieMath.fireEvent("on"+k.type,k)}return g.False(k)},getJaxFromMath:function(j){if(j.className==="MathJax_MSIE_Overlay"){j=j.parentNode.parentNode}return b.getJaxFor(j.parentNode.nextSibling)},getHoverSpan:function(j,k){if(k.className==="MathJax_MSIE_Overlay"){return k.parentNode}return k.firstChild},getHoverBBox:function(l,n,o){n=n.parentNode;n.appendChild(this.topImg);var m=this.topImg.offsetTop,p=n.offsetHeight-m,k=n.offsetWidth;n.removeChild(this.topImg);var j=(o.className==="MathJax_MSIE_Overlay"?-k:0);return{w:k,h:m,d:p,x:j}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(o){var l=this.NativeMMLelement(this.type);this.NativeMMLattributes(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)},NativeMMLattributes:function(l){var p=this.defaults;var r=this.NativeMMLcopyAttributes,o=this.NativeMMLskipAttributes;if(this.type==="mstyle"){p=e.math.prototype.defaults}for(var q in p){if(!o[q]&&p.hasOwnProperty(q)){if(this[q]!=null){l.setAttribute(q,this.NativeMMLattribute(q,this[q]))}}}for(var n=0,k=r.length;n<k;n++){if(this[r[n]]!=null){l.setAttribute(r[n],this.NativeMMLattribute(r[n],this[r[n]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(l,k){k=String(k);if(i.NAMEDSPACE[k]){k=i.NAMEDSPACE[k]}else{if(k.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){k=((1/18)*RegExp.$1)+"em"}else{if(k==="-tex-caligraphic"){k="script"}else{if(k==="-tex-oldstyle"){k="normal"}}}}return k},NativeMMLelement:function(k){var l=(h?document.createElement("mjx:"+k):document.createElementNS(i.MMLnamespace,k));l.isMathJax=true;return l}});e.mrow.Augment({toNativeMML:function(n){if(this.inferred&&this.parent.inferRow){for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,n)}}});e.msubsup.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.sup]==null){o="msub"}if(this.data[this.sub]==null){o="msup"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});e.munderover.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.under]==null){o="mover"}if(this.data[this.over]==null){o="munder"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(k){if(this.width){var l=(this.style||"").replace(/;\s*$/,"").split(";");l.push("width:"+this.width);this.style=l.join(";")}this.SUPER(arguments).toNativeMML.call(this,k)}});e.mlabeledtr.Augment({toNativeMML:function(o){var l=this.NativeMMLelement("mtr");this.NativeMMLattributes(l);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)}});var j=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";i.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('"+j+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+j+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+j+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+j+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+j+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+j+"/MathJax_Caligraphic-Bold.otf')"}}}})}e.TeXAtom.Augment({toNativeMML:function(l){var k=this.NativeMMLelement("mrow");this.data[0].toNativeMML(k);l.appendChild(k)}});e.chars.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(n){for(var l=0,k=this.data.length;l<k;l++){n.appendChild(this.data[l].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(k){this.Core().toNativeMML(k)}})});setTimeout(MathJax.Callback(["loadComplete",i,"jax.js"]),0)});b.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;i.msieInlineBlockAlignBug=(!l||k);i.msieTopBug=(!j.versionAtLeast("8.0")||document.documentMode===7)},Opera:function(j){i.operaPositionBug=true}});i.topImg=(i.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(i.operaPositionBug||i.msieTopBug){i.topImg.style.border="1px solid"}b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
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this.testFont(this.FontInfo[h])},testFont:function(k){if(k.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(k.weight||"normal");this.div.style.fontStyle=(k.style||"normal")}var j=this.getComparisonWidths(k.testString,k.noStyleChar);if(j){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==j[0]){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[j[2]];if(this.div.offsetWidth==j[1]){return false}}if(this.div.offsetWidth!=j[3]){if(k.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var l=0,h=this.testSize.length;l<h;l++){if(this.testStyleChar(k,this.testSize[l])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(j,l){var p=3+(j.weight?2:0)+(j.style?4:0);var i="",k=0;var o=this.div.style.fontSize;this.div.style.fontSize=l;if(e.msieItalicWidthBug&&j.style==="italic"){this.text.nodeValue=i=this.compChar;k=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+i}else{this.text.nodeValue=this.compChar+i}var h=this.div.offsetWidth-k;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+i}else{this.text.nodeValue=this.styleChar+i}var m=Math.floor((this.div.offsetWidth-k)/h+0.5);if(m===p){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+i}else{this.text.nodeValue=this.versionChar+i}j.version=Math.floor((this.div.offsetWidth-k)/h+1.5)/2}this.div.style.fontSize=o;return(m===p)},getComparisonWidths:function(l,k){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!k){l+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=l}else{this.text.nodeValue=l}this.div.style.fontFamily=this.comparisonFont[0];var j=this.div.offsetWidth,o=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];o=this.div.offsetWidth}for(var n=1,h=this.comparisonFont.length;n<h;n++){this.div.style.fontFamily=this.comparisonFont[n];if(this.div.offsetWidth!=j){return[j,this.div.offsetWidth,n,o]}}return null},loadWebFont:function(i){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+i.directory);var k=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+i.directory);var h=MathJax.Callback({});var j=MathJax.Callback(["loadComplete",this,i,k,h]);c.timer.start(c,[this.checkWebFont,i,j],1,this.timeout);return h},loadComplete:function(j,l,i,h){MathJax.Message.Clear(l);if(h===c.STATUS.OK){i();return}this.loadError(j);if(d.Browser.isFirefox&&e.allowWebFonts){var k=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){k+=":"+document.location.port}k+="/";if(c.fileURL(e.webfontDir).substr(0,k.length)!==k){this.firefoxFontError(j)}}e.loadWebFontError(j,i)},loadError:function(h){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+h.directory,null,2000)},firefoxFontError:function(h){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(h,i,j){if(h.time(j)){return}if(e.Font.testFont(i)){j(h.STATUS.OK)}else{setTimeout(h,h.delay)}},fontFace:function(j){var k=e.allowWebFonts;var m=e.FONTDATA.FONTS[j];if(e.msieFontCSSBug&&!m.family.match(/-Web$/)){m.family+="-Web"}var i=c.fileURL(e.webfontDir+"/"+k);var h=j.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!h.match(/-/)){h+="-Regular"}if(k==="svg"){h+=".svg#"+h}else{h+="."+k}var l={"font-family":m.family,src:"url('"+i+"/"+h+"')"};if(k==="svg"){l.src+=" format('svg')"}if(!(e.FontFaceBug&&m.isWebFont)){if(j.match(/-bold/)){l["font-weight"]="bold"}if(j.match(/-italic/)){l["font-style"]="italic"}}return l}});var f=MathJax.HTML.Event;var g=MathJax.HTML.Touch;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 i=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(i.scale){this.config.scale=i.scale}if(i.font&&i.font!=="Auto"){if(i.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(i.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(i.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(i.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var h=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!h&&this.allowWebFonts){h=this.config.webFont;if(h){this.webFonts=true}}if(!h&&this.config.imageFont){h=this.config.imageFont;this.imgFonts=true}if(h){this.fontInUse=h;this.fontDir+="/"+h;this.webfontDir+="/"+h;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 k=[],o=this.FONTDATA.VARIANT.normal.fonts;if(!(o instanceof Array)){o=[o]}for(var j=0,h=o.length;j<h;j++){k[j]=this.FONTDATA.FONTS[o[j]].family;if(!k[j]){k[j]=o[j]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":k.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 n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);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(l){}}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(l){}}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 j=0,h=e.config.preloadWebFonts.length;j<h;j++){var k=e.FONTDATA.FONTS[e.config.preloadWebFonts[j]];if(!k.available){e.Font.testFont(k)}}},Translate:function(n){if(!n.parentNode){return}var l=n.previousSibling;if(l&&String(l.className).match(/^MathJax(_MathML|_Display)?$/)){l.parentNode.removeChild(l)}var o=n.MathJax.elementJax.root,p,h,j;p=h=j=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:"HTML-CSS",oncontextmenu:f.Menu,onmousedown:f.Mousedown,onmouseover:f.Mouseover,onmouseout:f.Mouseout,onmousemove:f.Mousemove,onclick:f.Click,ondblclick:f.DblClick});if(MathJax.Hub.Browser.noContextMenu){p.ontouchstart=g.start;p.ontouchend=g.end}var k=(o.Get("display")==="block");if(k){h=j=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});h.appendChild(p)}h.setAttribute("role","textbox");h.setAttribute("aria-readonly","true");if(this.useProcessingFrame){j=this.Element((k?"div":"span"),{className:"MathJax_Processing"});j.appendChild(h)}n.parentNode.insertBefore(j,n);var i;try{this.getScales(p);i=(this.em===0||String(this.em)==="NaN")}catch(m){i=true}if(i){this.hiddenDiv.appendChild(j);this.getScales(p)}this.initImg(p);this.initHTML(o,p);o.setTeXclass();try{o.toHTML(p,h)}catch(m){if(m.restart){j.parentNode.removeChild(j)}throw m}if(i){n.parentNode.insertBefore(j,n)}if(this.useProcessingFrame){j.parentNode.replaceChild(h,j)}},HandleEvent:f.HandleEvent,ContextMenu:function(i,h,j){if(this.config.showMathMenu&&(this.settings.context==="MathJax"||j)){if(this.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(this.msieEventBug){i=window.event}if(h.parentNode.className==="MathJax_Display"){h=h.parentNode}return f.ContextMenu(i,h)}},Mousedown:function(j,i){if(this.config.showMathMenu){if(this.settings.context==="MathJax"){if(!this.noContextMenuBug||j.button!==2){return}}else{var h=(f.msieButtonBug?j.buttons&1:j.button);if(!j[e.MENUKEY]||h!==e.LEFTBUTTON){return}}return this.ContextMenu(j,i,true)}},initImg:function(h){},initHTML:function(i,h){},initFont:function(h){var j=e.FONTDATA.FONTS,i=e.config.availableFonts;if(i&&i.length&&e.Font.testFont(j[h])){j[h].available=true;return null}if(!this.allowWebFonts){return null}j[h].isWebFont=true;if(e.FontFaceBug){j[h].family=h;if(e.msieFontCSSBug){j[h].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(h)})},Remove:function(h){var i=h.SourceElement();if(!i){return}i=i.previousSibling;if(!i){return}if(i.className.match(/^MathJax/)){i.parentNode.removeChild(i)}},getScales:function(j){j.parentNode.insertBefore(this.HDMspan,j);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var i=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var h=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(i/this.TeX.x_height)/h)*this.config.scale);j.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&h===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=h*this.scale/100}j.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(j)},getMarginScale:function(h){return 1},getMSIEmarginScale:function(j){j.appendChild(this.marginCheck);var h=this.marginCheck.offsetWidth,i=this.marginMove.offsetWidth;var k=(2*i-h?i/(2*i-h):1);j.removeChild(this.marginCheck);return k},getHD:function(i){var h=i.style.position;i.style.position="absolute";this.HDimg.style.height="0px";i.appendChild(this.HDspan);var j={h:i.offsetHeight};this.HDimg.style.height=j.h+"px";j.d=i.offsetHeight-j.h;j.h-=j.d;j.h/=this.em;j.d/=this.em;i.removeChild(this.HDspan);i.style.position=h;return j},getW:function(k){var i=k.offsetWidth,j=(k.bbox?k.bbox.w:-1),l=k;if((j<0||this.negativeSkipBug)&&i>=0){if(this.negativeSkipBug){var h=k.style.position;k.style.position="absolute";l=this.startMarker;if(k.firstChild){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}l=this.startMarker}k.appendChild(this.endMarker);i=this.endMarker.offsetLeft-l.offsetLeft;k.removeChild(this.endMarker);if(this.negativeSkipBug){k.removeChild(l);k.style.position=h}}return i/this.em},Measured:function(j,i){if(j.bbox.width==null&&j.bbox.w&&!j.bbox.isMultiline){var h=this.getW(j);j.bbox.rw+=h-j.bbox.w;j.bbox.w=h}if(!i){i=j.parentNode}if(!i.bbox){i.bbox=j.bbox}return j},Remeasured:function(i,h){h.bbox=this.Measured(i,h).bbox},Em:function(h){if(Math.abs(h)<0.0006){return"0em"}return h.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(h){return(100*h).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(h){return this.Percent(this.length2em(h))},length2em:function(n,k){if(typeof(n)!=="string"){n=n.toString()}if(n===""){return""}if(n===a.SIZE.NORMAL){return 1}if(n===a.SIZE.BIG){return 2}if(n===a.SIZE.SMALL){return 0.71}if(n==="infinity"){return e.BIGDIMEN}var j=this.FONTDATA.TeX_factor;if(n.match(/mathspace$/)){return e.MATHSPACE[n]*j}var i=n.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var h=parseFloat(i[1]||"1"),l=i[2];if(k==null){k=1}if(l==="em"){return h*j}if(l==="ex"){return h*e.TeX.x_height*j}if(l==="%"){return h/100*k}if(l==="px"){return h/e.em}if(l==="pt"){return h/10*j}if(l==="pc"){return h*1.2*j}if(l==="in"){return h*this.pxPerInch/e.em}if(l==="cm"){return h*this.pxPerInch/e.em/2.54}if(l==="mm"){return h*this.pxPerInch/e.em/25.4}if(l==="mu"){return h/18*j}return h*j*k},thickness2em:function(h){var i=e.TeX.rule_thickness;if(h===a.LINETHICKNESS.MEDIUM){return i}if(h===a.LINETHICKNESS.THIN){return 0.67*i}if(h===a.LINETHICKNESS.THICK){return 1.67*i}return this.length2em(h,i)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(i,h,j){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(h)}});if(j){i.insertBefore(k,i.firstChild)}else{i.appendChild(k)}return k},createShift:function(i,h,k){var j=this.Element("span",{style:{marginLeft:this.Em(h)},isMathJax:true});if(k){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}return j},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(j,l,i){if(this.msiePaddingWidthBug){this.createStrut(j,0)}var k=String(i).match(/%$/);var h=(!k&&i!=null?i:0);j=this.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(k?"100%":this.Em(h)),height:0}});if(!l){j.parentNode.bbox=j.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:h,lw:this.BIGDIMEN,rw:(!k&&i!=null?i:-this.BIGDIMEN)};if(k){j.bbox.width=i}}return j},createBox:function(i,h){var j=this.addElement(i,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(h!=null){j.style.width=h}return j},addBox:function(h,i){i.style.position="absolute";i.isBox=true;return h.appendChild(i)},placeBox:function(p,o,n,k){p.isMathJax=true;var q=p.parentNode,z=p.bbox,u=q.bbox;if(this.msiePlaceBoxBug){this.addText(p,this.NBSP)}if(this.imgSpaceBug){this.addText(p,this.imgSpace)}var s=p.offsetHeight/this.em+1,B=0;if(p.noAdjust){s-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(p,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(s)}})}else{this.addElement(p,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(s)}})}}p.style.top=this.Em(-n-s);p.style.left=this.Em(o+B);if(z){if(this.negativeSkipBug){if(z.lw<0){B=z.lw;e.createBlank(p,-B,true);j=0}if(z.rw>z.w){e.createBlank(p,z.rw-z.w+0.1)}}if(!this.msieClipRectBug&&!z.noclip&&!k){var w=3/this.em;var v=(z.H==null?z.h:z.H),i=(z.D==null?z.d:z.D);var A=s-v-w,m=s+i+w,j=z.lw-3*w,h=1000;if(z.isFixed){h=z.width-j}p.style.clip="rect("+this.Em(A)+" "+this.Em(h)+" "+this.Em(m)+" "+this.Em(j)+")"}}if(z&&u){if(z.H!=null&&(u.H==null||z.H+n>u.H)){u.H=z.H+n}if(z.D!=null&&(u.D==null||z.D-n>u.D)){u.D=z.D-n}if(z.h+n>u.h){u.h=z.h+n}if(z.d-n>u.d){u.d=z.d-n}if(u.H!=null&&u.H<=u.h){delete u.H}if(u.D!=null&&u.D<=u.d){delete u.D}if(z.w+o>u.w){u.w=z.w+o;if(u.width==null){q.style.width=this.Em(u.w)}}if(z.rw+o>u.rw){u.rw=z.rw+o}if(z.lw+o<u.lw){u.lw=z.lw+o}if(z.width!=null&&!z.isFixed){if(u.width==null){q.style.width=u.width="100%"}p.style.width=z.width}}},alignBox:function(j,p,o){this.placeBox(j,0,o);var m=j.bbox;if(m.isMultiline){return}var i=m.width!=null&&!m.isFixed;var k=0,n=-m.w/2,h="50%";if(this.negativeSkipBug){k=m.w-m.rw-0.1;n+=m.lw}n=this.Em(n*this.msieMarginScale);if(i){n="";h=(50-parseFloat(m.width)/2)+"%"}d.Insert(j.style,({right:{left:"",right:this.Em(k)},center:{left:h,marginLeft:n}})[p])},setStackWidth:function(i,h){if(typeof(h)==="number"){i.style.width=this.Em(Math.max(0,h));if(i.bbox){i.bbox.w=h}if(i.parentNode.bbox){i.parentNode.bbox.w=h}}else{i.style.width=i.parentNode.style.width="100%";if(i.bbox){i.bbox.width=h}if(i.parentNode.bbox){i.parentNode.bbox.width=h}}},createDelimiter:function(s,h,k,o,l){if(!h){s.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};s.bbox.rw=s.bbox.w;this.createSpace(s,s.bbox.h,s.bbox.d,s.bbox.w);return}if(!o){o=1}if(!(k instanceof Array)){k=[k,k]}var r=k[1];k=k[0];var j={alias:h};while(j.alias){h=j.alias;j=this.FONTDATA.DELIMITERS[h];if(!j){j={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var q=0,n=j.HW.length;q<n;q++){if(j.HW[q][0]*o>=k-0.01||(q==n-1&&!j.stretch)){if(j.HW[q][2]){o*=j.HW[q][2]}if(j.HW[q][3]){h=j.HW[q][3]}var p=this.addElement(s,"span");this.createChar(p,[h,j.HW[q][1]],o,l);s.bbox=p.bbox;s.offset=0.65*s.bbox.w;s.scale=o;return}}if(j.stretch){this["extendDelimiter"+j.dir](s,r,j.stretch,o,l)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(y,j,B,D,t){var o=this.createStack(y,true);var l=this.createBox(o),z=this.createBox(o);this.createChar(l,(B.left||B.rep),D,t);this.createChar(z,(B.right||B.rep),D,t);var h=this.Element("span");this.createChar(h,B.rep,D,t);var A={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},i;this.placeBox(l,-l.bbox.lw,0,true);var r=(l.bbox.rw-l.bbox.lw)+(z.bbox.rw-z.bbox.lw)-0.05,q=l.bbox.rw-l.bbox.lw-0.025,s;if(B.mid){A=this.createBox(o);this.createChar(A,B.mid,D,t);r+=A.bbox.w}if(j>r){var C=h.bbox.rw-h.bbox.lw,m=C-0.05,u,p,v=(B.mid?2:1);p=u=Math.ceil((j-r)/(v*m));m=(j-r)/(v*u);s=(u/(u+1))*(C-m);m=C-s;q-=h.bbox.lw+s;while(v-->0){while(u-->0){if(!this.msieCloneNodeBug){i=h.cloneNode(true)}else{i=this.Element("span");this.createChar(i,B.rep,D,t)}this.placeBox(this.addBox(o,i),q,0,true);q+=m}if(B.mid&&v){this.placeBox(A,q,0,true);q+=A.bbox.w-s;u=p}}}else{s=Math.min(r-j,l.bbox.w/2);q-=s/2;if(B.mid){this.placeBox(A,q,0,true);q+=A.bbox.w}q-=s/2}this.placeBox(z,q,0,true);y.bbox={w:q+z.bbox.rw,lw:0,rw:q+z.bbox.rw,H:Math.max(l.bbox.h,h.bbox.h,z.bbox.h,A.bbox.h),D:Math.max(l.bbox.d,h.bbox.d,z.bbox.d,A.bbox.d),h:h.bbox.h,d:h.bbox.d};y.scale=D;y.isMultiChar=true;this.setStackWidth(o,y.bbox.w)},createChar:function(q,n,k,h){q.isMathJax=true;var p=q,r="",l={fonts:[n[1]],noRemap:true};if(h&&h===a.VARIANT.BOLD){l.fonts=[n[1]+"-bold",n[1]]}if(typeof(n[1])!=="string"){l=n[1]}if(n[0] instanceof Array){for(var 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w="",u,A,r,j,z,B,h=x;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(A===this.PLANE1){y++;u=q.charCodeAt(y)+119808-56320;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u]}r=this.lookupChar(l,u);A=r[u];if(l!==z&&!A[5].img){if(w.length){this.addText(h,w);w=""}h=x;z=j;if(l!==z){if(z){h=this.addElement(x,"span",{isMathJax:true})}else{j=l}}this.handleFont(h,r,h!==x);z=l}w=this.handleChar(h,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(h,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},handleFont:function(j,h,l){j.style.fontFamily=h.family;if(!(e.FontFaceBug&&h.isWebFont)){var 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h.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(h){if(this.isEmbellished()){return this.Core().HTMLcanStretch(h)}return false},HTMLstretchH:function(i,h){return this.HTMLspanElement()},HTMLstretchV:function(j,i,k){return this.HTMLspanElement()},HTMLnotEmpty:function(h){while(h){if((h.type!=="mrow"&&h.type!=="texatom")||h.data.length>1){return true}h=h.data[0]}return false},HTMLmeasureChild:function(i,h){if(this.data[i]!=null){e.Measured(this.data[i].toHTML(h),h)}else{h.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(h){if(this.spanID){var i=this.HTMLspanElement();if(i){while(i.firstChild){i.removeChild(i.firstChild)}i.bbox={w:0,h:0,d:0,lw:0,rw:0};i.scale=1;i.isMultChar=null;i.style.cssText="";return i}}if(this.href){h=e.addElement(h,"a",{href:this.href,isMathJax:true})}h=e.addElement(h,"span",{className:this.type,isMathJax:true});if(e.imgHeightBug){h.style.display="inline-block"}if(this["class"]!=null){h.className+=" "+this["class"]}if(this.style){h.style.cssText=this.style;if(h.style.fontSize){this.mathsize=h.style.fontSize;h.style.fontSize=""}}this.spanID=e.GetID();h.id=(this.id||"MathJax-Span-"+this.spanID)+e.idPostfix;h.bbox={w:0,h:0,d:0,lw:0,lr:0};if(this.href){h.parentNode.bbox=h.bbox}return h},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+e.idPostfix)},HTMLhandleVariant:function(i,h,j){e.handleVariant(i,h,j)},HTMLhandleSize:function(h){if(!h.scale){h.scale=this.HTMLgetScale();if(h.scale!==1){h.style.fontSize=e.Percent(h.scale)}}return h},HTMLhandleColor:function(m){var o=this.getValues("mathcolor","color");if(this.mathbackground){o.mathbackground=this.mathbackground}if(this.background){o.background=this.background}if(this.style&&m.style.backgroundColor){o.mathbackground=m.style.backgroundColor;m.style.backgroundColor="transparent"}if(o.color&&!this.mathcolor){o.mathcolor=o.color}if(o.background&&!this.mathbackground){o.mathbackground=o.background}if(o.mathcolor){m.style.color=o.mathcolor}if(o.mathbackground&&o.mathbackground!==a.COLOR.TRANSPARENT){var p=1/e.em,l=0,k=0;if(this.isToken){l=m.bbox.lw;k=m.bbox.rw-m.bbox.w}if(m.style.paddingLeft!==""){l+=parseFloat(m.style.paddingLeft)*(m.scale||1)}if(m.style.paddingRight!==""){k-=parseFloat(m.style.paddingRight)*(m.scale||1)}var j=Math.max(0,e.getW(m)+(e.PaddingWidthBug?0:k-l));if(e.msieCharPaddingWidthBug&&m.style.paddingLeft!==""){j+=parseFloat(m.style.paddingLeft)*(m.scale||1)}var n=m.bbox.h+m.bbox.d,h=-m.bbox.d;if(j>0){j+=2*p;l-=p}if(n>0){n+=2*p;h-=p}k=-j-l;var i=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:o.mathbackground,width:e.Em(j),height:e.Em(n),verticalAlign:e.Em(h),marginLeft:e.Em(l),marginRight:e.Em(k)}});if(e.msieInlineBlockAlignBug){i.style.position="relative";i.style.width=i.style.height=0;i.style.verticalAlign=i.style.marginLeft=i.style.marginRight="";e.placeBox(e.addElement(i,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(j),height:e.Em(n),background:o.mathbackground}}),l,m.bbox.h+p)}m.parentNode.insertBefore(i,m);if(e.msieColorPositionBug){m.style.position="relative"}return i}return null},HTMLremoveColor:function(){var h=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(h){h.parentNode.removeChild(h)}},HTMLhandleSpace:function(k){if(this.useMMLspacing){if(this.type!=="mo"){return}var i=this.getValues("scriptlevel","lspace","rspace");if(i.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){i.lspace=Math.max(0,e.length2em(i.lspace));i.rspace=Math.max(0,e.length2em(i.rspace));var h=this,j=this.Parent();while(j&&j.isEmbellished()&&j.Core()===h){h=j;j=j.Parent();k=h.HTMLspanElement()}if(i.lspace){k.style.paddingLeft=e.Em(i.lspace)}if(i.rspace){k.style.paddingRight=e.Em(i.rspace)}}}else{var l=this.texSpacing();if(l!==""){l=e.length2em(l)/(k.scale||1);if(k.style.paddingLeft){l+=parseFloat(k.style.paddingLeft)}k.style.paddingLeft=e.Em(l)}}},HTMLgetScale:function(){var j=1,h=this.getValues("mathsize","scriptlevel","fontsize","scriptminsize");if(this.style){var i=this.HTMLspanElement();if(i.style.fontSize!=""){h.fontsize=i.style.fontSize}}if(h.fontsize&&!this.mathsize){h.mathsize=h.fontsize}if(h.scriptlevel!==0){if(h.scriptlevel>2){h.scriptlevel=2}j=Math.pow(this.Get("scriptsizemultiplier"),h.scriptlevel);h.scriptminsize=e.length2em(h.scriptminsize);if(j<h.scriptminsize){j=h.scriptminsize}}j*=e.length2em(h.mathsize);return j},HTMLgetVariant:function(){var h=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var j=this.HTMLspanElement();if(j.style.fontFamily){h.fontfamily=j.style.fontFamily}if(j.style.fontWeight){h.fontweight=j.style.fontWeight}if(j.style.fontStyle){h.fontStyle=j.style.fontStyle}}var i=h.mathvariant;if(this.variantForm){i="-"+e.fontInUse+"-variant"}if(h.fontfamily&&!this.mathvariant){if(!h.fontweight&&h.mathvariant.match(/bold/)){h.fontweight="bold"}if(!h.fontstyle&&h.mathvariant.match(/italic/)){h.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:h.fontfamily,style:h.fontstyle,weight:h.fontweight}}}if(h.fontweight==="bold"){i={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}[i]||i}else{if(h.fontweight==="normal"){i={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}[i]||i}}if(h.fontstyle==="italic"){i={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[i]||i}else{if(h.fontstyle==="normal"){i={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[i]||i}}return 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j=n.bbox={},o=[];this.HTMLcheckStretchy(this.data.open,j,o,l);this.HTMLcheckStretchy(this.data[0],j,o,l);for(var k=1,h=this.data.length;k<h;k++){if(this.data[k]){this.HTMLcheckStretchy(this.data["sep"+k],j,o,l);this.HTMLcheckStretchy(this.data[k],j,o,l)}}this.HTMLcheckStretchy(this.data.close,j,o,l);this.HTMLcleanBBox(j);return o},HTMLcheckStretchy:function(h,i,k,j){if(h){if(!j&&h.HTMLcanStretch("Vertical")){k.push(h);h=(h.CoreMO()||h)}this.HTMLcombineBBoxes(h,i)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(h){if(this.data[0]!=null){h=this.data[0].toHTML(h);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(h)}return 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o=[],K=[],s,J,F,j=-e.BIGDIMEN,H=j;for(J=0,F=this.data.length;J<F;J++){if(this.data[J]!=null){s=o[J]=e.createBox(n);e.Measured(this.data[J].toHTML(s),s);if(J==this.base){if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchV(s,E,B),s)}else{if(E!=null){e.Remeasured(this.data[this.base].HTMLstretchH(s,E),s)}}K[J]=(B==null&&E!=null?false:this.data[J].HTMLcanStretch("Horizontal"))}else{K[J]=this.data[J].HTMLcanStretch("Horizontal")}if(s.bbox.w>H){H=s.bbox.w}if(!K[J]&&H>j){j=H}}}if(B==null&&E!=null){j=E}else{if(j==-e.BIGDIMEN){j=H}}for(J=H=0,F=this.data.length;J<F;J++){if(this.data[J]){s=o[J];if(K[J]){s.bbox=this.data[J].HTMLstretchH(s,j).bbox}if(s.bbox.w>H){H=s.bbox.w}}}var A=e.TeX.rule_thickness,C=e.FONTDATA.TeX_factor;var l=o[this.base]||{bbox:this.HTMLzeroBBox()},L=(l.bbox.ic||0);var r,p,v,u,q,z,G;for(J=0,F=this.data.length;J<F;J++){if(this.data[J]!=null){s=o[J];q=e.TeX.big_op_spacing5*M;var w=(J!=this.base&&h[this.ACCENTS[J]]);if(w&&s.bbox.w<=1/e.em+0.0001){s.bbox.w=s.bbox.rw-s.bbox.lw;s.bbox.noclip=true;if(s.bbox.lw&&!e.zeroWidthBug){s.insertBefore(e.createSpace(s.parentNode,0,0,-s.bbox.lw),s.firstChild)}e.createBlank(s,0,0,s.bbox.rw+0.1)}z={left:0,center:(H-s.bbox.w)/2,right:H-s.bbox.w}[h.align];r=z;p=0;if(J==this.over){if(w){G=Math.max(A*M*C,2.5/this.em);q=0;if(l.bbox.skew){r+=l.bbox.skew}}else{v=e.TeX.big_op_spacing1*M*C;u=e.TeX.big_op_spacing3*M*C;G=Math.max(v,u-Math.max(0,s.bbox.d))}G=Math.max(G,1.5/this.em);r+=L;p=l.bbox.h+s.bbox.d+G;s.bbox.h+=q}else{if(J==this.under){if(w){G=3*A*M*C;q=0}else{v=e.TeX.big_op_spacing2*M*C;u=e.TeX.big_op_spacing4*M*C;G=Math.max(v,u-s.bbox.h)}G=Math.max(G,1.5/this.em);r-=L;p=-(l.bbox.d+s.bbox.h+G);s.bbox.d+=q}}e.placeBox(s,r,p)}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.msubsup.Augment({toHTML:function(F,C,y){F=this.HTMLcreateSpan(F);var I=this.HTMLgetScale();var l=e.createStack(F),i;var k=e.createBox(l);this.HTMLmeasureChild(this.base,k);if(this.data[this.base]){if(y!=null){e.Remeasured(this.data[this.base].HTMLstretchV(k,C,y),k)}else{if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchH(k,C),k)}}}e.placeBox(k,0,0);var j=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var G=e.TeX.x_height*I,x=e.TeX.scriptspace*I*0.75;var h,m;if(this.HTMLnotEmpty(this.data[this.sup])){h=e.createBox(l);e.Measured(this.data[this.sup].toHTML(h),h);h.bbox.w+=x;h.bbox.rw=Math.max(h.bbox.w,h.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){m=e.createBox(l);e.Measured(this.data[this.sub].toHTML(m),m);m.bbox.w+=x;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}var A=e.TeX.sup_drop*j,z=e.TeX.sub_drop*j;var o=k.bbox.h-A,n=k.bbox.d+z,H=0,B;if(k.bbox.ic){H=k.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&k.bbox.scale===1&&!this.data[this.base].Get("largeop")){o=n=0}}var E=this.getValues("subscriptshift","superscriptshift");E.subscriptshift=(E.subscriptshift===""?0:e.length2em(E.subscriptshift));E.superscriptshift=(E.superscriptshift===""?0:e.length2em(E.superscriptshift));if(!h){if(m){n=Math.max(n,e.TeX.sub1*I,m.bbox.h-(4/5)*G,E.subscriptshift);e.placeBox(m,k.bbox.w+x-H,-n,m.bbox)}}else{if(!m){i=this.getValues("displaystyle","texprimestyle");B=e.TeX[(i.displaystyle?"sup1":(i.texprimestyle?"sup3":"sup2"))];o=Math.max(o,B*I,h.bbox.d+(1/4)*G,E.superscriptshift);e.placeBox(h,k.bbox.w+x,o,h.bbox)}else{n=Math.max(n,e.TeX.sub2*I);var w=e.TeX.rule_thickness*I;if((o-h.bbox.d)-(m.bbox.h-n)<3*w){n=3*w-o+h.bbox.d+m.bbox.h;A=(4/5)*G-(o-h.bbox.d);if(A>0){o+=A;n-=A}}e.placeBox(h,k.bbox.w+x,Math.max(o,E.superscriptshift));e.placeBox(m,k.bbox.w+x-H,-Math.max(n,E.subscriptshift))}}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},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(o,h){var l=this.Get("alttext");if(l){h.setAttribute("aria-label",l)}var i=e.addElement(o,"nobr",{isMathJax:true});o=this.HTMLcreateSpan(i);var m=e.createStack(o),j=e.createBox(m),n;m.style.fontSize=i.parentNode.style.fontSize;i.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;n=e.Measured(this.data[0].toHTML(j),j)}e.placeBox(j,0,0);var k=e.em/e.outerEm;e.em/=k;o.bbox.h*=k;o.bbox.d*=k;o.bbox.w*=k;o.bbox.lw*=k;o.bbox.rw*=k;if(n&&n.bbox.width!=null){m.style.width=n.bbox.width;j.style.width="100%"}this.HTMLhandleColor(o);if(n){e.createRule(o,n.bbox.h*k,n.bbox.d*k,0)}if(!this.isMultiline&&this.Get("display")==="block"&&o.bbox.width==null){var p=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(p.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){p.indentalign=p.indentalignfirst}if(p.indentalign===a.INDENTALIGN.AUTO){p.indentalign=this.displayAlign}h.style.textAlign=p.indentalign;if(p.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){p.indentshift=p.indentshiftfirst}if(p.indentshift==="auto"){p.indentshift=this.displayIndent}if(p.indentshift&&p.indentalign!==a.INDENTALIGN.CENTER){o.style[{left:"marginLeft",right:"marginRight"}[p.indentalign]]=e.Em(e.length2em(p.indentshift))}}return o}});a.TeXAtom.Augment({toHTML:function(i){i=this.HTMLcreateSpan(i);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var h=e.createStack(i);var j=e.createBox(h);e.Measured(this.data[0].toHTML(j),j);e.placeBox(j,0,e.TeX.axis_height-(j.bbox.h+j.bbox.d)/2+j.bbox.d)}else{i.bbox=this.data[0].toHTML(i).bbox}}this.HTMLhandleSpace(i);this.HTMLhandleColor(i);return i}});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(h){var k=h.versionAtLeast("7.0");var j=h.versionAtLeast("8.0")&&document.documentMode>7;var i=(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:h.isIE9,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:i,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(j&&!i),msieBorderWidthBug:i,msieInlineBlockAlignBug:(!j||i),msieVerticalAlignBug:(j&&!i),msiePlaceBoxBug:(j&&!i),msieClipRectBug:!j,msieNegativeSpaceBug:i,msieCloneNodeBug:(j&&h.version==="8.0"),negativeSkipBug:true,msieIE6:!k,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:h.isIE9,allowWebFonts:"eot"})},Firefox:function(i){var j=false;if(i.versionAtLeast("3.5")){var h=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,h.length)===h){j="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:j})},Safari:function(l){var j=l.versionAtLeast("3.0");var i=l.versionAtLeast("3.1");var h=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var m=(i&&l.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!l.versionAtLeast("5.0"))||(h!=null&&(h[1]<2||(h[1]==2&&h[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:!i,safariTextNodeBug:!j,safariWebFontSerif:["serif"],allowWebFonts:(i&&!m?"otf":false)});if(m){var k=d.config["HTML-CSS"];if(k){k.availableFonts=[];k.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(h){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(h.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(h){h.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:h.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(h.versionAtLeast("10.0")&&!h.isMini?"otf":false),adjustAvailableFonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}}})},Konqueror:function(h){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(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],1,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;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 ! important"},".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,Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;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")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;var l=[],p=this.FONTDATA.VARIANT.normal.fonts;if(!(p instanceof Array)){p=[p]}for(var k=0,j=p.length;k<j;k++){l[k]=this.FONTDATA.FONTS[p[k]].family;if(!l[k]){l[k]=p[k]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":l.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 o=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=o.offsetWidth/5;this.hiddenDiv.removeChild(o);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(n){}}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(n){}}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 k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},Translate:function(p){if(!p.parentNode){return}var n=p.previousSibling;if(n&&String(n.className).match(/^MathJax(_MathML|_Display)?$/)){n.parentNode.removeChild(n)}var j=p.MathJax.elementJax,q=j.root,r,i,l;r=i=l=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:this.id,id:j.inputID+"-Span",oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(MathJax.Hub.Browser.noContextMenu){r.ontouchstart=h.start;r.ontouchend=h.end}var m=(q.Get("display")==="block");if(m){i=l=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});i.appendChild(r)}i.setAttribute("role","textbox");i.setAttribute("aria-readonly","true");if(this.useProcessingFrame){l=this.Element((m?"div":"span"),{className:"MathJax_Processing"});l.appendChild(i)}p.parentNode.insertBefore(l,p);var k;try{this.getScales(r);k=(this.em===0||String(this.em)==="NaN")}catch(o){k=true}if(k){this.hiddenDiv.appendChild(l);this.getScales(r)}this.initImg(r);this.initHTML(q,r);q.setTeXclass();try{q.toHTML(r,i)}catch(o){if(o.restart){l.parentNode.removeChild(l)}throw o}if(k){p.parentNode.insertBefore(l,p)}if(this.useProcessingFrame){l.parentNode.replaceChild(i,l)}},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i){return i.root.HTMLspanElement()},getHoverBBox:function(i,l){var m=l.bbox,k=e.outerEm;var j={w:m.w*k,h:m.h*k,d:m.d*k};if(m.width){j.width=m.width}return j},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=i.SourceElement();if(!j){return}j=j.previousSibling;if(!j){return}if(j.className.match(/^MathJax/)){j.parentNode.removeChild(j)}},getScales:function(k){k.parentNode.insertBefore(this.HDMspan,k);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var j=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var i=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(j/this.TeX.x_height)/i)*this.config.scale);k.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&i===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=i*this.scale/100}k.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(k)},getMarginScale:function(i){return 1},getMSIEmarginScale:function(k){k.appendChild(this.marginCheck);var i=this.marginCheck.offsetWidth,j=this.marginMove.offsetWidth;var l=(2*j-i?j/(2*j-i):1);k.removeChild(this.marginCheck);return l},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(l){var j=l.offsetWidth,k=(l.bbox?l.bbox.w:-1),m=l;if((k<0||this.negativeSkipBug)&&j>=0){if(this.negativeSkipBug){var i=l.style.position;l.style.position="absolute";m=this.startMarker;if(l.firstChild){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}m=this.startMarker}l.appendChild(this.endMarker);j=this.endMarker.offsetLeft-m.offsetLeft;l.removeChild(this.endMarker);if(this.negativeSkipBug){l.removeChild(m);l.style.position=i}}return j/this.em},Measured:function(k,j){if(k.bbox.width==null&&k.bbox.w&&!k.bbox.isMultiline){var i=this.getW(k);k.bbox.rw+=i-k.bbox.w;k.bbox.w=i}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=k.bbox}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(i){return this.Percent(this.length2em(i))},length2em:function(o,l){if(typeof(o)!=="string"){o=o.toString()}if(o===""){return""}if(o===a.SIZE.NORMAL){return 1}if(o===a.SIZE.BIG){return 2}if(o===a.SIZE.SMALL){return 0.71}if(o==="infinity"){return e.BIGDIMEN}var k=this.FONTDATA.TeX_factor;if(o.match(/mathspace$/)){return e.MATHSPACE[o]*k}var j=o.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(j[1]||"1"),n=j[2];if(l==null){l=1}if(n==="em"){return i*k}if(n==="ex"){return i*e.TeX.x_height*k}if(n==="%"){return i/100*l}if(n==="px"){return i/e.em}if(n==="pt"){return i/10*k}if(n==="pc"){return i*1.2*k}if(n==="in"){return i*this.pxPerInch/e.em}if(n==="cm"){return i*this.pxPerInch/e.em/2.54}if(n==="mm"){return i*this.pxPerInch/e.em/25.4}if(n==="mu"){return i/18*k}return i*k*l},thickness2em:function(i){var j=e.TeX.rule_thickness;if(i===a.LINETHICKNESS.MEDIUM){return j}if(i===a.LINETHICKNESS.THIN){return 0.67*j}if(i===a.LINETHICKNESS.THICK){return 1.67*j}return this.length2em(i,j)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u=q.offsetHeight/this.em+1,C=0;if(q.noAdjust){u-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.negativeSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.negativeSkipBug){m=n.w-n.rw-0.1;o+=n.lw}o=this.Em(o*this.msieMarginScale);if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));if(j.bbox){j.bbox.w=i}if(j.parentNode.bbox){j.parentNode.bbox.w=i}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));o=(l-s)/(y*v);t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(l!==1){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP;e.createSpace(r,0,0,-r.offsetWidth/e.em)}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(y,o,r){var x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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j=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:p.mathbackground,width:e.Em(k),height:e.Em(o),verticalAlign:e.Em(i),marginLeft:e.Em(m),marginRight:e.Em(l)}});if(e.msieInlineBlockAlignBug){j.style.position="relative";j.style.width=j.style.height=0;j.style.verticalAlign=j.style.marginLeft=j.style.marginRight="";e.placeBox(e.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(k),height:e.Em(o),background:p.mathbackground}}),m,n.bbox.h+q)}n.parentNode.insertBefore(j,n);if(e.msieColorPositionBug){n.style.position="relative"}return j}return null},HTMLremoveColor:function(){var i=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(i){i.parentNode.removeChild(i)}},HTMLhandleSpace:function(l){if(this.useMMLspacing){if(this.type!=="mo"){return}var 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j=this.HTMLspanElement();if(j.style.fontSize!=""){i.fontsize=j.style.fontSize}}if(i.fontsize&&!this.mathsize){i.mathsize=i.fontsize}if(i.scriptlevel!==0){if(i.scriptlevel>2){i.scriptlevel=2}k=Math.pow(this.Get("scriptsizemultiplier"),i.scriptlevel);i.scriptminsize=e.length2em(i.scriptminsize);if(k<i.scriptminsize){k=i.scriptminsize}}k*=e.length2em(i.mathsize);return k},HTMLgetVariant:function(){var i=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var k=this.HTMLspanElement();if(k.style.fontFamily){i.fontfamily=k.style.fontFamily}if(k.style.fontWeight){i.fontweight=k.style.fontWeight}if(k.style.fontStyle){i.fontStyle=k.style.fontStyle}}var j=i.mathvariant;if(this.variantForm){j="-"+e.fontInUse+"-variant"}if(i.fontfamily&&!this.mathvariant){if(!i.fontweight&&i.mathvariant.match(/bold/)){i.fontweight="bold"}if(!i.fontstyle&&i.mathvariant.match(/italic/)){i.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:i.fontfamily,style:i.fontstyle,weight:i.fontweight}}}if(i.fontweight==="bold"){j={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}[j]||j}else{if(i.fontweight==="normal"){j={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}[j]||j}}if(i.fontstyle==="italic"){j={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[j]||j}else{if(i.fontstyle==="normal"){j={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[j]||j}}return 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n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 0.45*(k-0.9*j)+0.6*j+Math.max(0,i.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(i,j,l,k){if(i){if(!k&&i.HTMLcanStretch("Vertical")){l.push(i);i=(i.CoreMO()||i)}this.HTMLcombineBBoxes(i,j)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(i){if(this.data[0]!=null){i=this.data[0].toHTML(i);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(i)}return 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p=[],L=[],u,K,G,l=-e.BIGDIMEN,I=l;for(K=0,G=this.data.length;K<G;K++){if(this.data[K]!=null){u=p[K]=e.createBox(o);e.Measured(this.data[K].toHTML(u),u);if(K==this.base){if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchV(u,F,C),u)}else{if(F!=null){e.Remeasured(this.data[this.base].HTMLstretchH(u,F),u)}}L[K]=(C==null&&F!=null?false:this.data[K].HTMLcanStretch("Horizontal"))}else{L[K]=this.data[K].HTMLcanStretch("Horizontal")}if(u.bbox.w>I){I=u.bbox.w}if(!L[K]&&I>l){l=I}}}if(C==null&&F!=null){l=F}else{if(l==-e.BIGDIMEN){l=I}}for(K=I=0,G=this.data.length;K<G;K++){if(this.data[K]){u=p[K];if(L[K]){u.bbox=this.data[K].HTMLstretchH(u,l).bbox}if(u.bbox.w>I){I=u.bbox.w}}}var B=e.TeX.rule_thickness,E=e.FONTDATA.TeX_factor;var n=p[this.base]||{bbox:this.HTMLzeroBBox()},M=(n.bbox.ic||0);var s,q,w,v,r,A,H;for(K=0,G=this.data.length;K<G;K++){if(this.data[K]!=null){u=p[K];r=e.TeX.big_op_spacing5*N;var 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J=this.HTMLgetScale();var m=e.createStack(G),j;var l=e.createBox(m);this.HTMLmeasureChild(this.base,l);if(this.data[this.base]){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(l,E,z),l)}else{if(E!=null){e.Remeasured(this.data[this.base].HTMLstretchH(l,E),l)}}}e.placeBox(l,0,0);var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var H=e.TeX.x_height*J,y=e.TeX.scriptspace*J*0.75;var i,n;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(m);e.Measured(this.data[this.sup].toHTML(i),i);i.bbox.w+=y;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){n=e.createBox(m);e.Measured(this.data[this.sub].toHTML(n),n);n.bbox.w+=y;n.bbox.rw=Math.max(n.bbox.w,n.bbox.rw)}var B=e.TeX.sup_drop*k,A=e.TeX.sub_drop*k;var w=l.bbox.h-B,o=l.bbox.d+A,I=0,C;if(l.bbox.ic){I=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){w=o=0}}var F=this.getValues("subscriptshift","superscriptshift");F.subscriptshift=(F.subscriptshift===""?0:e.length2em(F.subscriptshift));F.superscriptshift=(F.superscriptshift===""?0:e.length2em(F.superscriptshift));if(!i){if(n){o=Math.max(o,e.TeX.sub1*J,n.bbox.h-(4/5)*H,F.subscriptshift);e.placeBox(n,l.bbox.w+y-I,-o,n.bbox)}}else{if(!n){j=this.getValues("displaystyle","texprimestyle");C=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];w=Math.max(w,C*J,i.bbox.d+(1/4)*H,F.superscriptshift);e.placeBox(i,l.bbox.w+y,w,i.bbox)}else{o=Math.max(o,e.TeX.sub2*J);var 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i=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var n=(j&&m.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!m.versionAtLeast("5.0"))||(i!=null&&(i[1]<2||(i[1]==2&&i[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,safariNegativeSpaceBug:true,safariVerticalAlignBug:!j,safariTextNodeBug:!k,safariWebFontSerif:["serif"],allowWebFonts:(j&&!n?"otf":false)});if(n){var l=d.config["HTML-CSS"];if(l){l.availableFonts=[];l.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(i){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(i.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(i){i.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax 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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(/[, 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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 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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/config/MML_HTMLorMML.js b/config/MML_HTMLorMML.js
@@ -31,17 +31,17 @@ MathJax.Hub.Config({"v1.0-compatible":false});
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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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:"1.1.5",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");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.7",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,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="1.1.1";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:"1.1.2",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(/ /g," ")}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 c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(/</g,"<").replace(/>/g,">").replace(/"/g,""")},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="<"/)&&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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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', 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false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var r=-Math.floor((q.offsetWidth-k)/2),p=o.Y;q.style.left=Math.max(r,20-n)+"px";q.style.top=Math.max(p,20-m)+"px"},Resize:function(m){if(g.onresize){g.onresize(m)}var k=0,p=0,o=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var n=(g.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):o);if(g.operaPositionBug){o.style.border="1px solid"}if(n.offsetParent){do{k+=n.offsetLeft;p+=n.offsetTop}while(n=n.offsetParent)}if(g.operaPositionBug){o.style.border=""}if(g.msieZIndexBug){o.style.left=k+"px";o.style.top=p+"px"}l.style.left=(-k)+"px";l.style.top=(-p)+"px";if(g.msiePositionBug){setTimeout(g.SetWH,0)}else{g.SetWH()}return{x:k,y:p}},SetWH:function(){var k=document.getElementById("MathJax_ZoomOverlay");k.style.width=k.style.height="1px";k.style.width=document.body.scrollWidth+"px";k.style.height=document.body.scrollHeight+"px"},Remove:function(l){var m=document.getElementById("MathJax_ZoomFrame");if(m){m.parentNode.removeChild(m);m=document.getElementById("MathJax_ZoomTracker");if(m){m.parentNode.removeChild(m)}if(g.operaRefreshBug){var k=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(k)}if(window.removeEventListener){removeEventListener("resize",g.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",g.Resize)}else{window.onresize=g.onresize;delete g.onresize}}}return e(l)}};a.Browser.Select({MSIE:function(k){var l=(document.compatMode==="BackCompat");var m=k.versionAtLeast("8.0")&&document.documentMode>7;g.msiePositionBug=true;g.msieWidthBug=!l;g.msieIE8Bug=m;g.msieZIndexBug=!m;g.msieInlineBlockAlignBug=(!m||l);if(document.documentMode>=9){delete h.styles["#MathJax_Zoom"].filter}},Opera:function(k){g.operaPositionBug=true;g.operaRefreshBug=true},Firefox:function(k){g.ffMMLwidthBug=true;g.ffMMLcenterBug=true}});g.topImg=(g.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(g.operaPositionBug){g.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",f,h.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
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l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" 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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]]," 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diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -43,9 +43,9 @@ MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJa
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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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:"1.1.5",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");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.7",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,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="1.1.1";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");
@@ -53,9 +53,9 @@ MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],di
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(/ /g," ")}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 c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(/</g,"<").replace(/>/g,">").replace(/"/g,""")},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="<"/)&&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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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 e,b;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var g=MathJax.Extension.MathZoom={version:j,settings:a.config.menuSettings,HandleEvent:function(m,k,l){if(g.settings.CTRL&&!m.ctrlKey){return true}if(g.settings.ALT&&!m.altKey){return true}if(g.settings.CMD&&!m.metaKey){return true}if(g.settings.Shift&&!m.shiftKey){return true}if(!g[k]){return true}return g[k](m,l)},Click:function(l,k){if(this.settings.zoom==="Click"){return this.Zoom(k,l)}},DblClick:function(l,k){if(this.settings.zoom==="Double-Click"){return this.Zoom(k,l)}},Hover:function(l,k){if(this.settings.zoom==="Hover"){this.Zoom(k,l);return true}return false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var 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i=this.NativeMMLelement("mrow");this.data[0].toNativeMML(i);j.appendChild(i)}});a.chars.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(l){for(var k=0,j=this.data.length;k<j;k++){l.appendChild(this.data[k].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(i){this.Core().toNativeMML(i)}})});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,MathJax.HTML,MathJax.HTML.Event);
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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(k){if(!k.parentNode){return}if(!this.initialized){this.InitializeMML()}var p=k.previousSibling;if(p&&String(p.className).match(/^MathJax(_MathML|_Display)?$/)){p.parentNode.removeChild(p)}var o=k.MathJax.elementJax.root;var n=(o.Get("display")==="block"?"div":"span");var m=d.Element(n,{className:"MathJax_MathML",style:{"font-size":this.config.scale+"%"}},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]),j=m.firstChild;o.toNativeMML(j.firstChild);k.parentNode.insertBefore(m,k);if(h){if(j.addEventListener){j.addEventListener("contextmenu",g.Menu,true);j.addEventListener("mouseover",g.Mouseover,true);j.addEventListener("mouseout",g.Mouseout,true);j.addEventListener("mousedown",g.Mousedown,true);j.addEventListener("mouseup",g.False,true);j.addEventListener("click",g.Click,true);j.addEventListener("dblclick",g.DblClick,true)}else{var l=(this.config.showMathMenuMSIE!=null?this:b).config;if(l.showMathMenuMSIE){this.MSIEoverlay(j)}}}else{j.oncontextmenu=g.Menu;j.onmouseover=g.Mouseover;j.onmouseout=g.Mouseout;j.onmousedown=g.Mousedown;j.onclick=g.Click;j.ondblclick=g.DblClick}},Remove:function(j){var k=j.SourceElement();if(!k){return}k=k.previousSibling;if(!k){return}if(k.className.match(/MathJax_MathML/)){k.parentNode.removeChild(k)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(j){var k=j.firstChild;if(k.nodeName.toLowerCase()==="span"){k=k.firstChild}var l=this.getHoverBBox(null,k,{});d.addElement(j,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:c.Px(-l.w),top:c.Px(-l.h-(l.y||0)-1),width:c.Px(l.w),height:c.Px(l.h+l.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);b.Insert(j,{msieMath:k,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var k=window.event;var j=i.MSIEevents[k.type];if(i[j]&&i[j](k,this)===false){return false}if(MathJax.Extension.MathZoom&&MathJax.Extension.MathZoom.HandleEvent(k,j,this)===false){return false}if(k.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){this.msieMath.fireEvent("on"+k.type,k)}return g.False(k)},getJaxFromMath:function(j){if(j.className==="MathJax_MSIE_Overlay"){j=j.parentNode.parentNode}return b.getJaxFor(j.parentNode.nextSibling)},getHoverSpan:function(j,k){if(k.className==="MathJax_MSIE_Overlay"){return k.parentNode}return k.firstChild},getHoverBBox:function(l,n,o){n=n.parentNode;n.appendChild(this.topImg);var m=this.topImg.offsetTop,p=n.offsetHeight-m,k=n.offsetWidth;n.removeChild(this.topImg);var j=(o.className==="MathJax_MSIE_Overlay"?-k:0);return{w:k,h:m,d:p,x:j}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(o){var l=this.NativeMMLelement(this.type);this.NativeMMLattributes(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)},NativeMMLattributes:function(l){var p=this.defaults;var r=this.NativeMMLcopyAttributes,o=this.NativeMMLskipAttributes;if(this.type==="mstyle"){p=e.math.prototype.defaults}for(var q in p){if(!o[q]&&p.hasOwnProperty(q)){if(this[q]!=null){l.setAttribute(q,this.NativeMMLattribute(q,this[q]))}}}for(var n=0,k=r.length;n<k;n++){if(this[r[n]]!=null){l.setAttribute(r[n],this.NativeMMLattribute(r[n],this[r[n]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(l,k){k=String(k);if(i.NAMEDSPACE[k]){k=i.NAMEDSPACE[k]}else{if(k.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){k=((1/18)*RegExp.$1)+"em"}else{if(k==="-tex-caligraphic"){k="script"}else{if(k==="-tex-oldstyle"){k="normal"}}}}return k},NativeMMLelement:function(k){var l=(h?document.createElement("mjx:"+k):document.createElementNS(i.MMLnamespace,k));l.isMathJax=true;return l}});e.mrow.Augment({toNativeMML:function(n){if(this.inferred&&this.parent.inferRow){for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,n)}}});e.msubsup.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.sup]==null){o="msub"}if(this.data[this.sub]==null){o="msup"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});e.munderover.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.under]==null){o="mover"}if(this.data[this.over]==null){o="munder"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(k){if(this.width){var l=(this.style||"").replace(/;\s*$/,"").split(";");l.push("width:"+this.width);this.style=l.join(";")}this.SUPER(arguments).toNativeMML.call(this,k)}});e.mlabeledtr.Augment({toNativeMML:function(o){var l=this.NativeMMLelement("mtr");this.NativeMMLattributes(l);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)}});var j=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";i.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('"+j+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+j+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+j+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+j+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+j+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+j+"/MathJax_Caligraphic-Bold.otf')"}}}})}e.TeXAtom.Augment({toNativeMML:function(l){var k=this.NativeMMLelement("mrow");this.data[0].toNativeMML(k);l.appendChild(k)}});e.chars.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(n){for(var l=0,k=this.data.length;l<k;l++){n.appendChild(this.data[l].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(k){this.Core().toNativeMML(k)}})});setTimeout(MathJax.Callback(["loadComplete",i,"jax.js"]),0)});b.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;i.msieInlineBlockAlignBug=(!l||k);i.msieTopBug=(!j.versionAtLeast("8.0")||document.documentMode===7)},Opera:function(j){i.operaPositionBug=true}});i.topImg=(i.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(i.operaPositionBug||i.msieTopBug){i.topImg.style.border="1px solid"}b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
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this.testFont(this.FontInfo[h])},testFont:function(k){if(k.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(k.weight||"normal");this.div.style.fontStyle=(k.style||"normal")}var j=this.getComparisonWidths(k.testString,k.noStyleChar);if(j){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==j[0]){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[j[2]];if(this.div.offsetWidth==j[1]){return false}}if(this.div.offsetWidth!=j[3]){if(k.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var l=0,h=this.testSize.length;l<h;l++){if(this.testStyleChar(k,this.testSize[l])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(j,l){var p=3+(j.weight?2:0)+(j.style?4:0);var i="",k=0;var o=this.div.style.fontSize;this.div.style.fontSize=l;if(e.msieItalicWidthBug&&j.style==="italic"){this.text.nodeValue=i=this.compChar;k=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+i}else{this.text.nodeValue=this.compChar+i}var h=this.div.offsetWidth-k;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+i}else{this.text.nodeValue=this.styleChar+i}var m=Math.floor((this.div.offsetWidth-k)/h+0.5);if(m===p){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+i}else{this.text.nodeValue=this.versionChar+i}j.version=Math.floor((this.div.offsetWidth-k)/h+1.5)/2}this.div.style.fontSize=o;return(m===p)},getComparisonWidths:function(l,k){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!k){l+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=l}else{this.text.nodeValue=l}this.div.style.fontFamily=this.comparisonFont[0];var j=this.div.offsetWidth,o=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];o=this.div.offsetWidth}for(var n=1,h=this.comparisonFont.length;n<h;n++){this.div.style.fontFamily=this.comparisonFont[n];if(this.div.offsetWidth!=j){return[j,this.div.offsetWidth,n,o]}}return null},loadWebFont:function(i){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+i.directory);var k=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+i.directory);var h=MathJax.Callback({});var j=MathJax.Callback(["loadComplete",this,i,k,h]);c.timer.start(c,[this.checkWebFont,i,j],1,this.timeout);return h},loadComplete:function(j,l,i,h){MathJax.Message.Clear(l);if(h===c.STATUS.OK){i();return}this.loadError(j);if(d.Browser.isFirefox&&e.allowWebFonts){var k=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){k+=":"+document.location.port}k+="/";if(c.fileURL(e.webfontDir).substr(0,k.length)!==k){this.firefoxFontError(j)}}e.loadWebFontError(j,i)},loadError:function(h){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+h.directory,null,2000)},firefoxFontError:function(h){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(h,i,j){if(h.time(j)){return}if(e.Font.testFont(i)){j(h.STATUS.OK)}else{setTimeout(h,h.delay)}},fontFace:function(j){var k=e.allowWebFonts;var m=e.FONTDATA.FONTS[j];if(e.msieFontCSSBug&&!m.family.match(/-Web$/)){m.family+="-Web"}var i=c.fileURL(e.webfontDir+"/"+k);var h=j.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!h.match(/-/)){h+="-Regular"}if(k==="svg"){h+=".svg#"+h}else{h+="."+k}var l={"font-family":m.family,src:"url('"+i+"/"+h+"')"};if(k==="svg"){l.src+=" format('svg')"}if(!(e.FontFaceBug&&m.isWebFont)){if(j.match(/-bold/)){l["font-weight"]="bold"}if(j.match(/-italic/)){l["font-style"]="italic"}}return l}});var f=MathJax.HTML.Event;var g=MathJax.HTML.Touch;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 i=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(i.scale){this.config.scale=i.scale}if(i.font&&i.font!=="Auto"){if(i.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(i.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(i.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(i.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var h=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!h&&this.allowWebFonts){h=this.config.webFont;if(h){this.webFonts=true}}if(!h&&this.config.imageFont){h=this.config.imageFont;this.imgFonts=true}if(h){this.fontInUse=h;this.fontDir+="/"+h;this.webfontDir+="/"+h;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 k=[],o=this.FONTDATA.VARIANT.normal.fonts;if(!(o instanceof Array)){o=[o]}for(var j=0,h=o.length;j<h;j++){k[j]=this.FONTDATA.FONTS[o[j]].family;if(!k[j]){k[j]=o[j]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":k.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 n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);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(l){}}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(l){}}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 j=0,h=e.config.preloadWebFonts.length;j<h;j++){var k=e.FONTDATA.FONTS[e.config.preloadWebFonts[j]];if(!k.available){e.Font.testFont(k)}}},Translate:function(n){if(!n.parentNode){return}var l=n.previousSibling;if(l&&String(l.className).match(/^MathJax(_MathML|_Display)?$/)){l.parentNode.removeChild(l)}var o=n.MathJax.elementJax.root,p,h,j;p=h=j=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:"HTML-CSS",oncontextmenu:f.Menu,onmousedown:f.Mousedown,onmouseover:f.Mouseover,onmouseout:f.Mouseout,onmousemove:f.Mousemove,onclick:f.Click,ondblclick:f.DblClick});if(MathJax.Hub.Browser.noContextMenu){p.ontouchstart=g.start;p.ontouchend=g.end}var k=(o.Get("display")==="block");if(k){h=j=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});h.appendChild(p)}h.setAttribute("role","textbox");h.setAttribute("aria-readonly","true");if(this.useProcessingFrame){j=this.Element((k?"div":"span"),{className:"MathJax_Processing"});j.appendChild(h)}n.parentNode.insertBefore(j,n);var i;try{this.getScales(p);i=(this.em===0||String(this.em)==="NaN")}catch(m){i=true}if(i){this.hiddenDiv.appendChild(j);this.getScales(p)}this.initImg(p);this.initHTML(o,p);o.setTeXclass();try{o.toHTML(p,h)}catch(m){if(m.restart){j.parentNode.removeChild(j)}throw m}if(i){n.parentNode.insertBefore(j,n)}if(this.useProcessingFrame){j.parentNode.replaceChild(h,j)}},HandleEvent:f.HandleEvent,ContextMenu:function(i,h,j){if(this.config.showMathMenu&&(this.settings.context==="MathJax"||j)){if(this.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(this.msieEventBug){i=window.event}if(h.parentNode.className==="MathJax_Display"){h=h.parentNode}return f.ContextMenu(i,h)}},Mousedown:function(j,i){if(this.config.showMathMenu){if(this.settings.context==="MathJax"){if(!this.noContextMenuBug||j.button!==2){return}}else{var h=(f.msieButtonBug?j.buttons&1:j.button);if(!j[e.MENUKEY]||h!==e.LEFTBUTTON){return}}return this.ContextMenu(j,i,true)}},initImg:function(h){},initHTML:function(i,h){},initFont:function(h){var j=e.FONTDATA.FONTS,i=e.config.availableFonts;if(i&&i.length&&e.Font.testFont(j[h])){j[h].available=true;return null}if(!this.allowWebFonts){return null}j[h].isWebFont=true;if(e.FontFaceBug){j[h].family=h;if(e.msieFontCSSBug){j[h].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(h)})},Remove:function(h){var i=h.SourceElement();if(!i){return}i=i.previousSibling;if(!i){return}if(i.className.match(/^MathJax/)){i.parentNode.removeChild(i)}},getScales:function(j){j.parentNode.insertBefore(this.HDMspan,j);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var i=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var h=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(i/this.TeX.x_height)/h)*this.config.scale);j.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&h===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=h*this.scale/100}j.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(j)},getMarginScale:function(h){return 1},getMSIEmarginScale:function(j){j.appendChild(this.marginCheck);var h=this.marginCheck.offsetWidth,i=this.marginMove.offsetWidth;var k=(2*i-h?i/(2*i-h):1);j.removeChild(this.marginCheck);return k},getHD:function(i){var h=i.style.position;i.style.position="absolute";this.HDimg.style.height="0px";i.appendChild(this.HDspan);var j={h:i.offsetHeight};this.HDimg.style.height=j.h+"px";j.d=i.offsetHeight-j.h;j.h-=j.d;j.h/=this.em;j.d/=this.em;i.removeChild(this.HDspan);i.style.position=h;return j},getW:function(k){var i=k.offsetWidth,j=(k.bbox?k.bbox.w:-1),l=k;if((j<0||this.negativeSkipBug)&&i>=0){if(this.negativeSkipBug){var h=k.style.position;k.style.position="absolute";l=this.startMarker;if(k.firstChild){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}l=this.startMarker}k.appendChild(this.endMarker);i=this.endMarker.offsetLeft-l.offsetLeft;k.removeChild(this.endMarker);if(this.negativeSkipBug){k.removeChild(l);k.style.position=h}}return i/this.em},Measured:function(j,i){if(j.bbox.width==null&&j.bbox.w&&!j.bbox.isMultiline){var h=this.getW(j);j.bbox.rw+=h-j.bbox.w;j.bbox.w=h}if(!i){i=j.parentNode}if(!i.bbox){i.bbox=j.bbox}return j},Remeasured:function(i,h){h.bbox=this.Measured(i,h).bbox},Em:function(h){if(Math.abs(h)<0.0006){return"0em"}return h.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(h){return(100*h).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(h){return this.Percent(this.length2em(h))},length2em:function(n,k){if(typeof(n)!=="string"){n=n.toString()}if(n===""){return""}if(n===a.SIZE.NORMAL){return 1}if(n===a.SIZE.BIG){return 2}if(n===a.SIZE.SMALL){return 0.71}if(n==="infinity"){return e.BIGDIMEN}var j=this.FONTDATA.TeX_factor;if(n.match(/mathspace$/)){return e.MATHSPACE[n]*j}var i=n.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var h=parseFloat(i[1]||"1"),l=i[2];if(k==null){k=1}if(l==="em"){return h*j}if(l==="ex"){return h*e.TeX.x_height*j}if(l==="%"){return h/100*k}if(l==="px"){return h/e.em}if(l==="pt"){return h/10*j}if(l==="pc"){return h*1.2*j}if(l==="in"){return h*this.pxPerInch/e.em}if(l==="cm"){return h*this.pxPerInch/e.em/2.54}if(l==="mm"){return h*this.pxPerInch/e.em/25.4}if(l==="mu"){return h/18*j}return h*j*k},thickness2em:function(h){var i=e.TeX.rule_thickness;if(h===a.LINETHICKNESS.MEDIUM){return i}if(h===a.LINETHICKNESS.THIN){return 0.67*i}if(h===a.LINETHICKNESS.THICK){return 1.67*i}return this.length2em(h,i)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(i,h,j){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(h)}});if(j){i.insertBefore(k,i.firstChild)}else{i.appendChild(k)}return k},createShift:function(i,h,k){var j=this.Element("span",{style:{marginLeft:this.Em(h)},isMathJax:true});if(k){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}return j},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(j,l,i){if(this.msiePaddingWidthBug){this.createStrut(j,0)}var k=String(i).match(/%$/);var h=(!k&&i!=null?i:0);j=this.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(k?"100%":this.Em(h)),height:0}});if(!l){j.parentNode.bbox=j.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:h,lw:this.BIGDIMEN,rw:(!k&&i!=null?i:-this.BIGDIMEN)};if(k){j.bbox.width=i}}return j},createBox:function(i,h){var j=this.addElement(i,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(h!=null){j.style.width=h}return j},addBox:function(h,i){i.style.position="absolute";i.isBox=true;return h.appendChild(i)},placeBox:function(p,o,n,k){p.isMathJax=true;var q=p.parentNode,z=p.bbox,u=q.bbox;if(this.msiePlaceBoxBug){this.addText(p,this.NBSP)}if(this.imgSpaceBug){this.addText(p,this.imgSpace)}var s=p.offsetHeight/this.em+1,B=0;if(p.noAdjust){s-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(p,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(s)}})}else{this.addElement(p,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(s)}})}}p.style.top=this.Em(-n-s);p.style.left=this.Em(o+B);if(z){if(this.negativeSkipBug){if(z.lw<0){B=z.lw;e.createBlank(p,-B,true);j=0}if(z.rw>z.w){e.createBlank(p,z.rw-z.w+0.1)}}if(!this.msieClipRectBug&&!z.noclip&&!k){var w=3/this.em;var v=(z.H==null?z.h:z.H),i=(z.D==null?z.d:z.D);var A=s-v-w,m=s+i+w,j=z.lw-3*w,h=1000;if(z.isFixed){h=z.width-j}p.style.clip="rect("+this.Em(A)+" "+this.Em(h)+" "+this.Em(m)+" "+this.Em(j)+")"}}if(z&&u){if(z.H!=null&&(u.H==null||z.H+n>u.H)){u.H=z.H+n}if(z.D!=null&&(u.D==null||z.D-n>u.D)){u.D=z.D-n}if(z.h+n>u.h){u.h=z.h+n}if(z.d-n>u.d){u.d=z.d-n}if(u.H!=null&&u.H<=u.h){delete u.H}if(u.D!=null&&u.D<=u.d){delete u.D}if(z.w+o>u.w){u.w=z.w+o;if(u.width==null){q.style.width=this.Em(u.w)}}if(z.rw+o>u.rw){u.rw=z.rw+o}if(z.lw+o<u.lw){u.lw=z.lw+o}if(z.width!=null&&!z.isFixed){if(u.width==null){q.style.width=u.width="100%"}p.style.width=z.width}}},alignBox:function(j,p,o){this.placeBox(j,0,o);var m=j.bbox;if(m.isMultiline){return}var i=m.width!=null&&!m.isFixed;var k=0,n=-m.w/2,h="50%";if(this.negativeSkipBug){k=m.w-m.rw-0.1;n+=m.lw}n=this.Em(n*this.msieMarginScale);if(i){n="";h=(50-parseFloat(m.width)/2)+"%"}d.Insert(j.style,({right:{left:"",right:this.Em(k)},center:{left:h,marginLeft:n}})[p])},setStackWidth:function(i,h){if(typeof(h)==="number"){i.style.width=this.Em(Math.max(0,h));if(i.bbox){i.bbox.w=h}if(i.parentNode.bbox){i.parentNode.bbox.w=h}}else{i.style.width=i.parentNode.style.width="100%";if(i.bbox){i.bbox.width=h}if(i.parentNode.bbox){i.parentNode.bbox.width=h}}},createDelimiter:function(s,h,k,o,l){if(!h){s.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};s.bbox.rw=s.bbox.w;this.createSpace(s,s.bbox.h,s.bbox.d,s.bbox.w);return}if(!o){o=1}if(!(k instanceof Array)){k=[k,k]}var r=k[1];k=k[0];var j={alias:h};while(j.alias){h=j.alias;j=this.FONTDATA.DELIMITERS[h];if(!j){j={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var q=0,n=j.HW.length;q<n;q++){if(j.HW[q][0]*o>=k-0.01||(q==n-1&&!j.stretch)){if(j.HW[q][2]){o*=j.HW[q][2]}if(j.HW[q][3]){h=j.HW[q][3]}var p=this.addElement(s,"span");this.createChar(p,[h,j.HW[q][1]],o,l);s.bbox=p.bbox;s.offset=0.65*s.bbox.w;s.scale=o;return}}if(j.stretch){this["extendDelimiter"+j.dir](s,r,j.stretch,o,l)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(y,j,B,D,t){var o=this.createStack(y,true);var l=this.createBox(o),z=this.createBox(o);this.createChar(l,(B.left||B.rep),D,t);this.createChar(z,(B.right||B.rep),D,t);var h=this.Element("span");this.createChar(h,B.rep,D,t);var A={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},i;this.placeBox(l,-l.bbox.lw,0,true);var r=(l.bbox.rw-l.bbox.lw)+(z.bbox.rw-z.bbox.lw)-0.05,q=l.bbox.rw-l.bbox.lw-0.025,s;if(B.mid){A=this.createBox(o);this.createChar(A,B.mid,D,t);r+=A.bbox.w}if(j>r){var C=h.bbox.rw-h.bbox.lw,m=C-0.05,u,p,v=(B.mid?2:1);p=u=Math.ceil((j-r)/(v*m));m=(j-r)/(v*u);s=(u/(u+1))*(C-m);m=C-s;q-=h.bbox.lw+s;while(v-->0){while(u-->0){if(!this.msieCloneNodeBug){i=h.cloneNode(true)}else{i=this.Element("span");this.createChar(i,B.rep,D,t)}this.placeBox(this.addBox(o,i),q,0,true);q+=m}if(B.mid&&v){this.placeBox(A,q,0,true);q+=A.bbox.w-s;u=p}}}else{s=Math.min(r-j,l.bbox.w/2);q-=s/2;if(B.mid){this.placeBox(A,q,0,true);q+=A.bbox.w}q-=s/2}this.placeBox(z,q,0,true);y.bbox={w:q+z.bbox.rw,lw:0,rw:q+z.bbox.rw,H:Math.max(l.bbox.h,h.bbox.h,z.bbox.h,A.bbox.h),D:Math.max(l.bbox.d,h.bbox.d,z.bbox.d,A.bbox.d),h:h.bbox.h,d:h.bbox.d};y.scale=D;y.isMultiChar=true;this.setStackWidth(o,y.bbox.w)},createChar:function(q,n,k,h){q.isMathJax=true;var p=q,r="",l={fonts:[n[1]],noRemap:true};if(h&&h===a.VARIANT.BOLD){l.fonts=[n[1]+"-bold",n[1]]}if(typeof(n[1])!=="string"){l=n[1]}if(n[0] instanceof Array){for(var 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w="",u,A,r,j,z,B,h=x;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(A===this.PLANE1){y++;u=q.charCodeAt(y)+119808-56320;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u]}r=this.lookupChar(l,u);A=r[u];if(l!==z&&!A[5].img){if(w.length){this.addText(h,w);w=""}h=x;z=j;if(l!==z){if(z){h=this.addElement(x,"span",{isMathJax:true})}else{j=l}}this.handleFont(h,r,h!==x);z=l}w=this.handleChar(h,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(h,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},handleFont:function(j,h,l){j.style.fontFamily=h.family;if(!(e.FontFaceBug&&h.isWebFont)){var 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h.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(h){if(this.isEmbellished()){return this.Core().HTMLcanStretch(h)}return false},HTMLstretchH:function(i,h){return this.HTMLspanElement()},HTMLstretchV:function(j,i,k){return this.HTMLspanElement()},HTMLnotEmpty:function(h){while(h){if((h.type!=="mrow"&&h.type!=="texatom")||h.data.length>1){return true}h=h.data[0]}return false},HTMLmeasureChild:function(i,h){if(this.data[i]!=null){e.Measured(this.data[i].toHTML(h),h)}else{h.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(h){if(this.spanID){var i=this.HTMLspanElement();if(i){while(i.firstChild){i.removeChild(i.firstChild)}i.bbox={w:0,h:0,d:0,lw:0,rw:0};i.scale=1;i.isMultChar=null;i.style.cssText="";return i}}if(this.href){h=e.addElement(h,"a",{href:this.href,isMathJax:true})}h=e.addElement(h,"span",{className:this.type,isMathJax:true});if(e.imgHeightBug){h.style.display="inline-block"}if(this["class"]!=null){h.className+=" "+this["class"]}if(this.style){h.style.cssText=this.style;if(h.style.fontSize){this.mathsize=h.style.fontSize;h.style.fontSize=""}}this.spanID=e.GetID();h.id=(this.id||"MathJax-Span-"+this.spanID)+e.idPostfix;h.bbox={w:0,h:0,d:0,lw:0,lr:0};if(this.href){h.parentNode.bbox=h.bbox}return h},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+e.idPostfix)},HTMLhandleVariant:function(i,h,j){e.handleVariant(i,h,j)},HTMLhandleSize:function(h){if(!h.scale){h.scale=this.HTMLgetScale();if(h.scale!==1){h.style.fontSize=e.Percent(h.scale)}}return h},HTMLhandleColor:function(m){var o=this.getValues("mathcolor","color");if(this.mathbackground){o.mathbackground=this.mathbackground}if(this.background){o.background=this.background}if(this.style&&m.style.backgroundColor){o.mathbackground=m.style.backgroundColor;m.style.backgroundColor="transparent"}if(o.color&&!this.mathcolor){o.mathcolor=o.color}if(o.background&&!this.mathbackground){o.mathbackground=o.background}if(o.mathcolor){m.style.color=o.mathcolor}if(o.mathbackground&&o.mathbackground!==a.COLOR.TRANSPARENT){var p=1/e.em,l=0,k=0;if(this.isToken){l=m.bbox.lw;k=m.bbox.rw-m.bbox.w}if(m.style.paddingLeft!==""){l+=parseFloat(m.style.paddingLeft)*(m.scale||1)}if(m.style.paddingRight!==""){k-=parseFloat(m.style.paddingRight)*(m.scale||1)}var j=Math.max(0,e.getW(m)+(e.PaddingWidthBug?0:k-l));if(e.msieCharPaddingWidthBug&&m.style.paddingLeft!==""){j+=parseFloat(m.style.paddingLeft)*(m.scale||1)}var n=m.bbox.h+m.bbox.d,h=-m.bbox.d;if(j>0){j+=2*p;l-=p}if(n>0){n+=2*p;h-=p}k=-j-l;var i=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:o.mathbackground,width:e.Em(j),height:e.Em(n),verticalAlign:e.Em(h),marginLeft:e.Em(l),marginRight:e.Em(k)}});if(e.msieInlineBlockAlignBug){i.style.position="relative";i.style.width=i.style.height=0;i.style.verticalAlign=i.style.marginLeft=i.style.marginRight="";e.placeBox(e.addElement(i,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(j),height:e.Em(n),background:o.mathbackground}}),l,m.bbox.h+p)}m.parentNode.insertBefore(i,m);if(e.msieColorPositionBug){m.style.position="relative"}return i}return null},HTMLremoveColor:function(){var h=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(h){h.parentNode.removeChild(h)}},HTMLhandleSpace:function(k){if(this.useMMLspacing){if(this.type!=="mo"){return}var i=this.getValues("scriptlevel","lspace","rspace");if(i.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){i.lspace=Math.max(0,e.length2em(i.lspace));i.rspace=Math.max(0,e.length2em(i.rspace));var h=this,j=this.Parent();while(j&&j.isEmbellished()&&j.Core()===h){h=j;j=j.Parent();k=h.HTMLspanElement()}if(i.lspace){k.style.paddingLeft=e.Em(i.lspace)}if(i.rspace){k.style.paddingRight=e.Em(i.rspace)}}}else{var l=this.texSpacing();if(l!==""){l=e.length2em(l)/(k.scale||1);if(k.style.paddingLeft){l+=parseFloat(k.style.paddingLeft)}k.style.paddingLeft=e.Em(l)}}},HTMLgetScale:function(){var j=1,h=this.getValues("mathsize","scriptlevel","fontsize","scriptminsize");if(this.style){var i=this.HTMLspanElement();if(i.style.fontSize!=""){h.fontsize=i.style.fontSize}}if(h.fontsize&&!this.mathsize){h.mathsize=h.fontsize}if(h.scriptlevel!==0){if(h.scriptlevel>2){h.scriptlevel=2}j=Math.pow(this.Get("scriptsizemultiplier"),h.scriptlevel);h.scriptminsize=e.length2em(h.scriptminsize);if(j<h.scriptminsize){j=h.scriptminsize}}j*=e.length2em(h.mathsize);return j},HTMLgetVariant:function(){var h=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var j=this.HTMLspanElement();if(j.style.fontFamily){h.fontfamily=j.style.fontFamily}if(j.style.fontWeight){h.fontweight=j.style.fontWeight}if(j.style.fontStyle){h.fontStyle=j.style.fontStyle}}var i=h.mathvariant;if(this.variantForm){i="-"+e.fontInUse+"-variant"}if(h.fontfamily&&!this.mathvariant){if(!h.fontweight&&h.mathvariant.match(/bold/)){h.fontweight="bold"}if(!h.fontstyle&&h.mathvariant.match(/italic/)){h.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:h.fontfamily,style:h.fontstyle,weight:h.fontweight}}}if(h.fontweight==="bold"){i={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}[i]||i}else{if(h.fontweight==="normal"){i={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}[i]||i}}if(h.fontstyle==="italic"){i={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[i]||i}else{if(h.fontstyle==="normal"){i={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[i]||i}}return 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j=n.bbox={},o=[];this.HTMLcheckStretchy(this.data.open,j,o,l);this.HTMLcheckStretchy(this.data[0],j,o,l);for(var k=1,h=this.data.length;k<h;k++){if(this.data[k]){this.HTMLcheckStretchy(this.data["sep"+k],j,o,l);this.HTMLcheckStretchy(this.data[k],j,o,l)}}this.HTMLcheckStretchy(this.data.close,j,o,l);this.HTMLcleanBBox(j);return o},HTMLcheckStretchy:function(h,i,k,j){if(h){if(!j&&h.HTMLcanStretch("Vertical")){k.push(h);h=(h.CoreMO()||h)}this.HTMLcombineBBoxes(h,i)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(h){if(this.data[0]!=null){h=this.data[0].toHTML(h);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(h)}return 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o=[],K=[],s,J,F,j=-e.BIGDIMEN,H=j;for(J=0,F=this.data.length;J<F;J++){if(this.data[J]!=null){s=o[J]=e.createBox(n);e.Measured(this.data[J].toHTML(s),s);if(J==this.base){if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchV(s,E,B),s)}else{if(E!=null){e.Remeasured(this.data[this.base].HTMLstretchH(s,E),s)}}K[J]=(B==null&&E!=null?false:this.data[J].HTMLcanStretch("Horizontal"))}else{K[J]=this.data[J].HTMLcanStretch("Horizontal")}if(s.bbox.w>H){H=s.bbox.w}if(!K[J]&&H>j){j=H}}}if(B==null&&E!=null){j=E}else{if(j==-e.BIGDIMEN){j=H}}for(J=H=0,F=this.data.length;J<F;J++){if(this.data[J]){s=o[J];if(K[J]){s.bbox=this.data[J].HTMLstretchH(s,j).bbox}if(s.bbox.w>H){H=s.bbox.w}}}var A=e.TeX.rule_thickness,C=e.FONTDATA.TeX_factor;var l=o[this.base]||{bbox:this.HTMLzeroBBox()},L=(l.bbox.ic||0);var r,p,v,u,q,z,G;for(J=0,F=this.data.length;J<F;J++){if(this.data[J]!=null){s=o[J];q=e.TeX.big_op_spacing5*M;var w=(J!=this.base&&h[this.ACCENTS[J]]);if(w&&s.bbox.w<=1/e.em+0.0001){s.bbox.w=s.bbox.rw-s.bbox.lw;s.bbox.noclip=true;if(s.bbox.lw&&!e.zeroWidthBug){s.insertBefore(e.createSpace(s.parentNode,0,0,-s.bbox.lw),s.firstChild)}e.createBlank(s,0,0,s.bbox.rw+0.1)}z={left:0,center:(H-s.bbox.w)/2,right:H-s.bbox.w}[h.align];r=z;p=0;if(J==this.over){if(w){G=Math.max(A*M*C,2.5/this.em);q=0;if(l.bbox.skew){r+=l.bbox.skew}}else{v=e.TeX.big_op_spacing1*M*C;u=e.TeX.big_op_spacing3*M*C;G=Math.max(v,u-Math.max(0,s.bbox.d))}G=Math.max(G,1.5/this.em);r+=L;p=l.bbox.h+s.bbox.d+G;s.bbox.h+=q}else{if(J==this.under){if(w){G=3*A*M*C;q=0}else{v=e.TeX.big_op_spacing2*M*C;u=e.TeX.big_op_spacing4*M*C;G=Math.max(v,u-s.bbox.h)}G=Math.max(G,1.5/this.em);r-=L;p=-(l.bbox.d+s.bbox.h+G);s.bbox.d+=q}}e.placeBox(s,r,p)}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.msubsup.Augment({toHTML:function(F,C,y){F=this.HTMLcreateSpan(F);var I=this.HTMLgetScale();var l=e.createStack(F),i;var k=e.createBox(l);this.HTMLmeasureChild(this.base,k);if(this.data[this.base]){if(y!=null){e.Remeasured(this.data[this.base].HTMLstretchV(k,C,y),k)}else{if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchH(k,C),k)}}}e.placeBox(k,0,0);var j=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var G=e.TeX.x_height*I,x=e.TeX.scriptspace*I*0.75;var h,m;if(this.HTMLnotEmpty(this.data[this.sup])){h=e.createBox(l);e.Measured(this.data[this.sup].toHTML(h),h);h.bbox.w+=x;h.bbox.rw=Math.max(h.bbox.w,h.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){m=e.createBox(l);e.Measured(this.data[this.sub].toHTML(m),m);m.bbox.w+=x;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}var A=e.TeX.sup_drop*j,z=e.TeX.sub_drop*j;var o=k.bbox.h-A,n=k.bbox.d+z,H=0,B;if(k.bbox.ic){H=k.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&k.bbox.scale===1&&!this.data[this.base].Get("largeop")){o=n=0}}var E=this.getValues("subscriptshift","superscriptshift");E.subscriptshift=(E.subscriptshift===""?0:e.length2em(E.subscriptshift));E.superscriptshift=(E.superscriptshift===""?0:e.length2em(E.superscriptshift));if(!h){if(m){n=Math.max(n,e.TeX.sub1*I,m.bbox.h-(4/5)*G,E.subscriptshift);e.placeBox(m,k.bbox.w+x-H,-n,m.bbox)}}else{if(!m){i=this.getValues("displaystyle","texprimestyle");B=e.TeX[(i.displaystyle?"sup1":(i.texprimestyle?"sup3":"sup2"))];o=Math.max(o,B*I,h.bbox.d+(1/4)*G,E.superscriptshift);e.placeBox(h,k.bbox.w+x,o,h.bbox)}else{n=Math.max(n,e.TeX.sub2*I);var w=e.TeX.rule_thickness*I;if((o-h.bbox.d)-(m.bbox.h-n)<3*w){n=3*w-o+h.bbox.d+m.bbox.h;A=(4/5)*G-(o-h.bbox.d);if(A>0){o+=A;n-=A}}e.placeBox(h,k.bbox.w+x,Math.max(o,E.superscriptshift));e.placeBox(m,k.bbox.w+x-H,-Math.max(n,E.subscriptshift))}}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},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(o,h){var l=this.Get("alttext");if(l){h.setAttribute("aria-label",l)}var i=e.addElement(o,"nobr",{isMathJax:true});o=this.HTMLcreateSpan(i);var m=e.createStack(o),j=e.createBox(m),n;m.style.fontSize=i.parentNode.style.fontSize;i.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;n=e.Measured(this.data[0].toHTML(j),j)}e.placeBox(j,0,0);var k=e.em/e.outerEm;e.em/=k;o.bbox.h*=k;o.bbox.d*=k;o.bbox.w*=k;o.bbox.lw*=k;o.bbox.rw*=k;if(n&&n.bbox.width!=null){m.style.width=n.bbox.width;j.style.width="100%"}this.HTMLhandleColor(o);if(n){e.createRule(o,n.bbox.h*k,n.bbox.d*k,0)}if(!this.isMultiline&&this.Get("display")==="block"&&o.bbox.width==null){var p=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(p.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){p.indentalign=p.indentalignfirst}if(p.indentalign===a.INDENTALIGN.AUTO){p.indentalign=this.displayAlign}h.style.textAlign=p.indentalign;if(p.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){p.indentshift=p.indentshiftfirst}if(p.indentshift==="auto"){p.indentshift=this.displayIndent}if(p.indentshift&&p.indentalign!==a.INDENTALIGN.CENTER){o.style[{left:"marginLeft",right:"marginRight"}[p.indentalign]]=e.Em(e.length2em(p.indentshift))}}return o}});a.TeXAtom.Augment({toHTML:function(i){i=this.HTMLcreateSpan(i);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var h=e.createStack(i);var j=e.createBox(h);e.Measured(this.data[0].toHTML(j),j);e.placeBox(j,0,e.TeX.axis_height-(j.bbox.h+j.bbox.d)/2+j.bbox.d)}else{i.bbox=this.data[0].toHTML(i).bbox}}this.HTMLhandleSpace(i);this.HTMLhandleColor(i);return i}});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(h){var k=h.versionAtLeast("7.0");var j=h.versionAtLeast("8.0")&&document.documentMode>7;var i=(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:h.isIE9,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:i,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(j&&!i),msieBorderWidthBug:i,msieInlineBlockAlignBug:(!j||i),msieVerticalAlignBug:(j&&!i),msiePlaceBoxBug:(j&&!i),msieClipRectBug:!j,msieNegativeSpaceBug:i,msieCloneNodeBug:(j&&h.version==="8.0"),negativeSkipBug:true,msieIE6:!k,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:h.isIE9,allowWebFonts:"eot"})},Firefox:function(i){var j=false;if(i.versionAtLeast("3.5")){var h=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,h.length)===h){j="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:j})},Safari:function(l){var j=l.versionAtLeast("3.0");var i=l.versionAtLeast("3.1");var h=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var m=(i&&l.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!l.versionAtLeast("5.0"))||(h!=null&&(h[1]<2||(h[1]==2&&h[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:!i,safariTextNodeBug:!j,safariWebFontSerif:["serif"],allowWebFonts:(i&&!m?"otf":false)});if(m){var k=d.config["HTML-CSS"];if(k){k.availableFonts=[];k.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(h){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(h.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(h){h.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:h.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(h.versionAtLeast("10.0")&&!h.isMini?"otf":false),adjustAvailableFonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}}})},Konqueror:function(h){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(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],1,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;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 ! important"},".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,Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;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")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;var l=[],p=this.FONTDATA.VARIANT.normal.fonts;if(!(p instanceof Array)){p=[p]}for(var k=0,j=p.length;k<j;k++){l[k]=this.FONTDATA.FONTS[p[k]].family;if(!l[k]){l[k]=p[k]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":l.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 o=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=o.offsetWidth/5;this.hiddenDiv.removeChild(o);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(n){}}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(n){}}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 k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},Translate:function(p){if(!p.parentNode){return}var n=p.previousSibling;if(n&&String(n.className).match(/^MathJax(_MathML|_Display)?$/)){n.parentNode.removeChild(n)}var j=p.MathJax.elementJax,q=j.root,r,i,l;r=i=l=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:this.id,id:j.inputID+"-Span",oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(MathJax.Hub.Browser.noContextMenu){r.ontouchstart=h.start;r.ontouchend=h.end}var m=(q.Get("display")==="block");if(m){i=l=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});i.appendChild(r)}i.setAttribute("role","textbox");i.setAttribute("aria-readonly","true");if(this.useProcessingFrame){l=this.Element((m?"div":"span"),{className:"MathJax_Processing"});l.appendChild(i)}p.parentNode.insertBefore(l,p);var k;try{this.getScales(r);k=(this.em===0||String(this.em)==="NaN")}catch(o){k=true}if(k){this.hiddenDiv.appendChild(l);this.getScales(r)}this.initImg(r);this.initHTML(q,r);q.setTeXclass();try{q.toHTML(r,i)}catch(o){if(o.restart){l.parentNode.removeChild(l)}throw o}if(k){p.parentNode.insertBefore(l,p)}if(this.useProcessingFrame){l.parentNode.replaceChild(i,l)}},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i){return i.root.HTMLspanElement()},getHoverBBox:function(i,l){var m=l.bbox,k=e.outerEm;var j={w:m.w*k,h:m.h*k,d:m.d*k};if(m.width){j.width=m.width}return j},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=i.SourceElement();if(!j){return}j=j.previousSibling;if(!j){return}if(j.className.match(/^MathJax/)){j.parentNode.removeChild(j)}},getScales:function(k){k.parentNode.insertBefore(this.HDMspan,k);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var j=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var i=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(j/this.TeX.x_height)/i)*this.config.scale);k.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&i===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=i*this.scale/100}k.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(k)},getMarginScale:function(i){return 1},getMSIEmarginScale:function(k){k.appendChild(this.marginCheck);var i=this.marginCheck.offsetWidth,j=this.marginMove.offsetWidth;var l=(2*j-i?j/(2*j-i):1);k.removeChild(this.marginCheck);return l},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(l){var j=l.offsetWidth,k=(l.bbox?l.bbox.w:-1),m=l;if((k<0||this.negativeSkipBug)&&j>=0){if(this.negativeSkipBug){var i=l.style.position;l.style.position="absolute";m=this.startMarker;if(l.firstChild){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}m=this.startMarker}l.appendChild(this.endMarker);j=this.endMarker.offsetLeft-m.offsetLeft;l.removeChild(this.endMarker);if(this.negativeSkipBug){l.removeChild(m);l.style.position=i}}return j/this.em},Measured:function(k,j){if(k.bbox.width==null&&k.bbox.w&&!k.bbox.isMultiline){var i=this.getW(k);k.bbox.rw+=i-k.bbox.w;k.bbox.w=i}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=k.bbox}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(i){return this.Percent(this.length2em(i))},length2em:function(o,l){if(typeof(o)!=="string"){o=o.toString()}if(o===""){return""}if(o===a.SIZE.NORMAL){return 1}if(o===a.SIZE.BIG){return 2}if(o===a.SIZE.SMALL){return 0.71}if(o==="infinity"){return e.BIGDIMEN}var k=this.FONTDATA.TeX_factor;if(o.match(/mathspace$/)){return e.MATHSPACE[o]*k}var j=o.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(j[1]||"1"),n=j[2];if(l==null){l=1}if(n==="em"){return i*k}if(n==="ex"){return i*e.TeX.x_height*k}if(n==="%"){return i/100*l}if(n==="px"){return i/e.em}if(n==="pt"){return i/10*k}if(n==="pc"){return i*1.2*k}if(n==="in"){return i*this.pxPerInch/e.em}if(n==="cm"){return i*this.pxPerInch/e.em/2.54}if(n==="mm"){return i*this.pxPerInch/e.em/25.4}if(n==="mu"){return i/18*k}return i*k*l},thickness2em:function(i){var j=e.TeX.rule_thickness;if(i===a.LINETHICKNESS.MEDIUM){return j}if(i===a.LINETHICKNESS.THIN){return 0.67*j}if(i===a.LINETHICKNESS.THICK){return 1.67*j}return this.length2em(i,j)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u=q.offsetHeight/this.em+1,C=0;if(q.noAdjust){u-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.negativeSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.negativeSkipBug){m=n.w-n.rw-0.1;o+=n.lw}o=this.Em(o*this.msieMarginScale);if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));if(j.bbox){j.bbox.w=i}if(j.parentNode.bbox){j.parentNode.bbox.w=i}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));o=(l-s)/(y*v);t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(l!==1){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP;e.createSpace(r,0,0,-r.offsetWidth/e.em)}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(y,o,r){var x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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j=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:p.mathbackground,width:e.Em(k),height:e.Em(o),verticalAlign:e.Em(i),marginLeft:e.Em(m),marginRight:e.Em(l)}});if(e.msieInlineBlockAlignBug){j.style.position="relative";j.style.width=j.style.height=0;j.style.verticalAlign=j.style.marginLeft=j.style.marginRight="";e.placeBox(e.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(k),height:e.Em(o),background:p.mathbackground}}),m,n.bbox.h+q)}n.parentNode.insertBefore(j,n);if(e.msieColorPositionBug){n.style.position="relative"}return j}return null},HTMLremoveColor:function(){var i=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(i){i.parentNode.removeChild(i)}},HTMLhandleSpace:function(l){if(this.useMMLspacing){if(this.type!=="mo"){return}var 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j=this.HTMLspanElement();if(j.style.fontSize!=""){i.fontsize=j.style.fontSize}}if(i.fontsize&&!this.mathsize){i.mathsize=i.fontsize}if(i.scriptlevel!==0){if(i.scriptlevel>2){i.scriptlevel=2}k=Math.pow(this.Get("scriptsizemultiplier"),i.scriptlevel);i.scriptminsize=e.length2em(i.scriptminsize);if(k<i.scriptminsize){k=i.scriptminsize}}k*=e.length2em(i.mathsize);return k},HTMLgetVariant:function(){var i=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var k=this.HTMLspanElement();if(k.style.fontFamily){i.fontfamily=k.style.fontFamily}if(k.style.fontWeight){i.fontweight=k.style.fontWeight}if(k.style.fontStyle){i.fontStyle=k.style.fontStyle}}var j=i.mathvariant;if(this.variantForm){j="-"+e.fontInUse+"-variant"}if(i.fontfamily&&!this.mathvariant){if(!i.fontweight&&i.mathvariant.match(/bold/)){i.fontweight="bold"}if(!i.fontstyle&&i.mathvariant.match(/italic/)){i.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:i.fontfamily,style:i.fontstyle,weight:i.fontweight}}}if(i.fontweight==="bold"){j={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}[j]||j}else{if(i.fontweight==="normal"){j={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}[j]||j}}if(i.fontstyle==="italic"){j={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[j]||j}else{if(i.fontstyle==="normal"){j={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[j]||j}}return 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n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 0.45*(k-0.9*j)+0.6*j+Math.max(0,i.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(i,j,l,k){if(i){if(!k&&i.HTMLcanStretch("Vertical")){l.push(i);i=(i.CoreMO()||i)}this.HTMLcombineBBoxes(i,j)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(i){if(this.data[0]!=null){i=this.data[0].toHTML(i);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(i)}return 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p=[],L=[],u,K,G,l=-e.BIGDIMEN,I=l;for(K=0,G=this.data.length;K<G;K++){if(this.data[K]!=null){u=p[K]=e.createBox(o);e.Measured(this.data[K].toHTML(u),u);if(K==this.base){if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchV(u,F,C),u)}else{if(F!=null){e.Remeasured(this.data[this.base].HTMLstretchH(u,F),u)}}L[K]=(C==null&&F!=null?false:this.data[K].HTMLcanStretch("Horizontal"))}else{L[K]=this.data[K].HTMLcanStretch("Horizontal")}if(u.bbox.w>I){I=u.bbox.w}if(!L[K]&&I>l){l=I}}}if(C==null&&F!=null){l=F}else{if(l==-e.BIGDIMEN){l=I}}for(K=I=0,G=this.data.length;K<G;K++){if(this.data[K]){u=p[K];if(L[K]){u.bbox=this.data[K].HTMLstretchH(u,l).bbox}if(u.bbox.w>I){I=u.bbox.w}}}var B=e.TeX.rule_thickness,E=e.FONTDATA.TeX_factor;var n=p[this.base]||{bbox:this.HTMLzeroBBox()},M=(n.bbox.ic||0);var s,q,w,v,r,A,H;for(K=0,G=this.data.length;K<G;K++){if(this.data[K]!=null){u=p[K];r=e.TeX.big_op_spacing5*N;var 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J=this.HTMLgetScale();var m=e.createStack(G),j;var l=e.createBox(m);this.HTMLmeasureChild(this.base,l);if(this.data[this.base]){if(z!=null){e.Remeasured(this.data[this.base].HTMLstretchV(l,E,z),l)}else{if(E!=null){e.Remeasured(this.data[this.base].HTMLstretchH(l,E),l)}}}e.placeBox(l,0,0);var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var H=e.TeX.x_height*J,y=e.TeX.scriptspace*J*0.75;var i,n;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(m);e.Measured(this.data[this.sup].toHTML(i),i);i.bbox.w+=y;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){n=e.createBox(m);e.Measured(this.data[this.sub].toHTML(n),n);n.bbox.w+=y;n.bbox.rw=Math.max(n.bbox.w,n.bbox.rw)}var B=e.TeX.sup_drop*k,A=e.TeX.sub_drop*k;var w=l.bbox.h-B,o=l.bbox.d+A,I=0,C;if(l.bbox.ic){I=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){w=o=0}}var F=this.getValues("subscriptshift","superscriptshift");F.subscriptshift=(F.subscriptshift===""?0:e.length2em(F.subscriptshift));F.superscriptshift=(F.superscriptshift===""?0:e.length2em(F.superscriptshift));if(!i){if(n){o=Math.max(o,e.TeX.sub1*J,n.bbox.h-(4/5)*H,F.subscriptshift);e.placeBox(n,l.bbox.w+y-I,-o,n.bbox)}}else{if(!n){j=this.getValues("displaystyle","texprimestyle");C=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];w=Math.max(w,C*J,i.bbox.d+(1/4)*H,F.superscriptshift);e.placeBox(i,l.bbox.w+y,w,i.bbox)}else{o=Math.max(o,e.TeX.sub2*J);var 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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 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diff --git a/config/TeX-AMS-MML_HTMLorMML.js b/config/TeX-AMS-MML_HTMLorMML.js
@@ -40,9 +40,9 @@ MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJa
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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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:"1.1.5",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");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.7",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,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="1.1.1";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");
@@ -50,9 +50,9 @@ MathJax.Extension.tex2jax={version:"1.1.3",config:{inlineMath:[["\\(","\\)"]],di
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(/ /g," ")}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 c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(/</g,"<").replace(/>/g,">").replace(/"/g,""")},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="<"/)&&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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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', 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false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var r=-Math.floor((q.offsetWidth-k)/2),p=o.Y;q.style.left=Math.max(r,20-n)+"px";q.style.top=Math.max(p,20-m)+"px"},Resize:function(m){if(g.onresize){g.onresize(m)}var k=0,p=0,o=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var n=(g.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):o);if(g.operaPositionBug){o.style.border="1px solid"}if(n.offsetParent){do{k+=n.offsetLeft;p+=n.offsetTop}while(n=n.offsetParent)}if(g.operaPositionBug){o.style.border=""}if(g.msieZIndexBug){o.style.left=k+"px";o.style.top=p+"px"}l.style.left=(-k)+"px";l.style.top=(-p)+"px";if(g.msiePositionBug){setTimeout(g.SetWH,0)}else{g.SetWH()}return{x:k,y:p}},SetWH:function(){var k=document.getElementById("MathJax_ZoomOverlay");k.style.width=k.style.height="1px";k.style.width=document.body.scrollWidth+"px";k.style.height=document.body.scrollHeight+"px"},Remove:function(l){var m=document.getElementById("MathJax_ZoomFrame");if(m){m.parentNode.removeChild(m);m=document.getElementById("MathJax_ZoomTracker");if(m){m.parentNode.removeChild(m)}if(g.operaRefreshBug){var k=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(k)}if(window.removeEventListener){removeEventListener("resize",g.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",g.Resize)}else{window.onresize=g.onresize;delete g.onresize}}}return e(l)}};a.Browser.Select({MSIE:function(k){var l=(document.compatMode==="BackCompat");var m=k.versionAtLeast("8.0")&&document.documentMode>7;g.msiePositionBug=true;g.msieWidthBug=!l;g.msieIE8Bug=m;g.msieZIndexBug=!m;g.msieInlineBlockAlignBug=(!m||l);if(document.documentMode>=9){delete h.styles["#MathJax_Zoom"].filter}},Opera:function(k){g.operaPositionBug=true;g.operaRefreshBug=true},Firefox:function(k){g.ffMMLwidthBug=true;g.ffMMLcenterBug=true}});g.topImg=(g.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(g.operaPositionBug){g.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",f,h.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
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l=document.getElementById("MathJax_MenuFrame");if(!l){l=a.Background(this);delete h.lastItem;delete h.lastMenu;delete a.skipUp}var o=c.addElement(l,"div",{onmouseup:a.Mouseup,ondblclick:this.False,ondragstart:this.False,onselectstart:this.False,oncontextmenu:this.False,menuItem:this,className:"MathJax_Menu"},t);for(var q=0,p=this.items.length;q<p;q++){this.items[q].Create(o)}if(a.isMobile){c.addElement(o,"img",{src:MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png"),width:31,height:31,style:{position:"absolute",top:"-15px",left:"-15px"},ontouchstart:a.Close,ontouchend:this.False,menu:v})}this.posted=true;o.style.width=(o.offsetWidth+2)+"px";var u=n.pageX,s=n.pageY;if(!u&&!s){u=n.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;s=n.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!v){if(u+o.offsetWidth>document.body.offsetWidth-this.margin){u=document.body.offsetWidth-o.offsetWidth-this.margin}if(a.isMobile){u=Math.max(5,u-Math.floor(o.offsetWidth/2));s-=20}a.skipUp=true}else{var r="left",w=v.offsetWidth;u=(a.isMobile?30:w-2);s=0;while(v&&v!==l){u+=v.offsetLeft;s+=v.offsetTop;v=v.parentNode}if(u+o.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){r="right";u=Math.max(this.margin,u-w-o.offsetWidth+6)}if(!i){o.style["borderRadiusTop"+r]=0;o.style["WebkitBorderRadiusTop"+r]=0;o.style["MozBorderRadiusTop"+r]=0;o.style["KhtmlBorderRadiusTop"+r]=0}}o.style.left=u+"px";o.style.top=s+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return this.False(n)},Remove:function(l,m){var n=document.getElementById("MathJax_MenuFrame");if(n){n.parentNode.removeChild(n);if(this.msieBackgroundBug){detachEvent("onresize",a.Resize)}}},False:d,Find:function(n){var p=[].slice.call(arguments,1);for(var o=0,l=this.items.length;o<l;o++){if(this.items[o].name===n){if(p.length){if(!this.items[o].menu){return null}return this.items[o].menu.Find.apply(this.items[o].menu,p)}return this.items[o]}}return null}},{config:j,div:null,Close:function(l){return a.Event(l,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(l){return a.Event(l,this,"Remove")},Mouseover:function(l){return a.Event(l,this,"Mouseover")},Mouseout:function(l){return a.Event(l,this,"Mouseout")},Mousedown:function(l){return a.Event(l,this,"Mousedown")},Mouseup:function(l){return a.Event(l,this,"Mouseup")},Touchstart:function(l){return a.Event(l,this,"Touchstart")},Touchend:function(l){return a.Event(l,this,"Touchend")},Event:function(n,p,l,o){if(a.isMobile&&l==="Mouseover"&&!o){return d(n)}if(a.skipUp){if(l.match(/Mouseup|Touchend/)){delete a.skipUp;return d(n)}if(l.match(/Touchstart/)){delete a.skipUp}}if(!n){n=window.event}var m=p.menuItem;if(m&&m[l]){return m[l](n,p)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(m){var n=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:m,onmousedown:this.Remove}]]);var l=n.firstChild;if(m.msieBackgroundBug){l.style.backgroundColor="white";l.style.filter="alpha(opacity=0)";n.width=n.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{l.style.position="fixed"}return n},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var l=document.getElementById("MathJax_MenuFrame");if(l){l=l.firstChild;l.style.width=l.style.height="1px";l.style.width=document.body.scrollWidth+"px";l.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var l=new Image();l.src=MathJax.Ajax.fileURL(MathJax.OutputJax.imageDir+"/CloseX-31.png")}}});var h=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(m){if(!this.hidden){var l={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:this.False,onselectstart:this.False,onselectend:this.False,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){l.className+=" MathJax_MenuDisabled"}c.addElement(m,"div",l,this.Label(l,m))}},Mouseover:function(q,s){if(!this.disabled){this.Activate(s)}if(!this.menu||!this.menu.posted){var r=document.getElementById("MathJax_MenuFrame").childNodes,n=s.parentNode.childNodes;for(var o=0,l=n.length;o<l;o++){var p=n[o].menuItem;if(p&&p.menu&&p.menu.posted){p.Deactivate(n[o])}}l=r.length-1;while(l>=0&&s.parentNode.menuItem!==r[l].menuItem){r[l].menuItem.posted=false;r[l].parentNode.removeChild(r[l]);l--}if(this.Timer&&!a.isMobile){this.Timer(q,s)}}},Mouseout:function(l,m){if(!this.menu||!this.menu.posted){this.Deactivate(m)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(l,m){return this.Remove(l,m)},Touchstart:function(l,m){return this.TouchEvent(l,m,"Mousedown")},Touchend:function(l,m){return this.TouchEvent(l,m,"Mouseup")},TouchEvent:function(m,n,l){if(this!==h.lastItem){if(h.lastMenu){a.Event(m,h.lastMenu,"Mouseout")}a.Event(m,n,"Mouseover",true);h.lastItem=this;h.lastMenu=n}if(this.nativeTouch){return null}a.Event(m,n,l);return false},Remove:function(l,m){m=m.parentNode.menuItem;return m.Remove(l,m)},Activate:function(l){this.Deactivate(l);l.className+=" MathJax_MenuActive"},Deactivate:function(l){l.className=l.className.replace(/ MathJax_MenuActive/,"")},With:function(l){if(l){b.Insert(this,l)}return this},False:d});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(l,n,m){this.name=l;this.action=n;this.With(m)},Label:function(l,m){return[this.name]},Mouseup:function(l,m){if(!this.disabled){this.Remove(l,m);this.action.call(this,l)}return this.False(l)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(i&&!b.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(l,n){this.name=l;var m=1;if(!(n instanceof a.ITEM)){this.With(n),m++}this.menu=a.apply(a,[].slice.call(arguments,m))},Label:function(l,m){this.menu.posted=false;return[this.name+" 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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]]," 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-(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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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 e,b;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var g=MathJax.Extension.MathZoom={version:j,settings:a.config.menuSettings,HandleEvent:function(m,k,l){if(g.settings.CTRL&&!m.ctrlKey){return true}if(g.settings.ALT&&!m.altKey){return true}if(g.settings.CMD&&!m.metaKey){return true}if(g.settings.Shift&&!m.shiftKey){return true}if(!g[k]){return true}return g[k](m,l)},Click:function(l,k){if(this.settings.zoom==="Click"){return this.Zoom(k,l)}},DblClick:function(l,k){if(this.settings.zoom==="Double-Click"){return this.Zoom(k,l)}},Hover:function(l,k){if(this.settings.zoom==="Hover"){this.Zoom(k,l);return true}return false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var r=-Math.floor((q.offsetWidth-k)/2),p=o.Y;q.style.left=Math.max(r,20-n)+"px";q.style.top=Math.max(p,20-m)+"px"},Resize:function(m){if(g.onresize){g.onresize(m)}var k=0,p=0,o=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var n=(g.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):o);if(g.operaPositionBug){o.style.border="1px solid"}if(n.offsetParent){do{k+=n.offsetLeft;p+=n.offsetTop}while(n=n.offsetParent)}if(g.operaPositionBug){o.style.border=""}if(g.msieZIndexBug){o.style.left=k+"px";o.style.top=p+"px"}l.style.left=(-k)+"px";l.style.top=(-p)+"px";if(g.msiePositionBug){setTimeout(g.SetWH,0)}else{g.SetWH()}return{x:k,y:p}},SetWH:function(){var k=document.getElementById("MathJax_ZoomOverlay");k.style.width=k.style.height="1px";k.style.width=document.body.scrollWidth+"px";k.style.height=document.body.scrollHeight+"px"},Remove:function(l){var m=document.getElementById("MathJax_ZoomFrame");if(m){m.parentNode.removeChild(m);m=document.getElementById("MathJax_ZoomTracker");if(m){m.parentNode.removeChild(m)}if(g.operaRefreshBug){var k=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(k)}if(window.removeEventListener){removeEventListener("resize",g.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",g.Resize)}else{window.onresize=g.onresize;delete g.onresize}}}return e(l)}};a.Browser.Select({MSIE:function(k){var l=(document.compatMode==="BackCompat");var m=k.versionAtLeast("8.0")&&document.documentMode>7;g.msiePositionBug=true;g.msieWidthBug=!l;g.msieIE8Bug=m;g.msieZIndexBug=!m;g.msieInlineBlockAlignBug=(!m||l);if(document.documentMode>=9){delete h.styles["#MathJax_Zoom"].filter}},Opera:function(k){g.operaPositionBug=true;g.operaRefreshBug=true},Firefox:function(k){g.ffMMLwidthBug=true;g.ffMMLcenterBug=true}});g.topImg=(g.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(g.operaPositionBug){g.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",f,h.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
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@@ -55,7 +55,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var e="1.1";var a=Ma
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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}}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){b["-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(b["-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"){MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX.Definitions;c.mathchar0mi.varnothing="2205";c.mathchar0mi.hslash="210F";c.mathchar0mi.blacktriangle="25B4";c.mathchar0mi.blacktriangledown="25BE";c.mathchar0mi.square="25FB";c.mathchar0mi.blacksquare="25FC";c.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];c.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];c.mathchar0mo.blacktriangleleft="25C2";c.mathchar0mo.blacktriangleright="25B8";c.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(b["-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(l,j){if(j&&this.testCollection(j)){return j}for(var k=0,h=l.length;k<h;k++){if(l[k]===j){continue}if(this.testCollection(l[k])){return l[k]}}return null},testCollection:function(h){return this.testFont(this.FontInfo[h])},testFont:function(k){if(k.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(k.weight||"normal");this.div.style.fontStyle=(k.style||"normal")}var j=this.getComparisonWidths(k.testString,k.noStyleChar);if(j){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==j[0]){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[j[2]];if(this.div.offsetWidth==j[1]){return false}}if(this.div.offsetWidth!=j[3]){if(k.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var l=0,h=this.testSize.length;l<h;l++){if(this.testStyleChar(k,this.testSize[l])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(j,l){var p=3+(j.weight?2:0)+(j.style?4:0);var i="",k=0;var o=this.div.style.fontSize;this.div.style.fontSize=l;if(e.msieItalicWidthBug&&j.style==="italic"){this.text.nodeValue=i=this.compChar;k=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+i}else{this.text.nodeValue=this.compChar+i}var h=this.div.offsetWidth-k;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+i}else{this.text.nodeValue=this.styleChar+i}var m=Math.floor((this.div.offsetWidth-k)/h+0.5);if(m===p){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+i}else{this.text.nodeValue=this.versionChar+i}j.version=Math.floor((this.div.offsetWidth-k)/h+1.5)/2}this.div.style.fontSize=o;return(m===p)},getComparisonWidths:function(l,k){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!k){l+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=l}else{this.text.nodeValue=l}this.div.style.fontFamily=this.comparisonFont[0];var j=this.div.offsetWidth,o=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];o=this.div.offsetWidth}for(var n=1,h=this.comparisonFont.length;n<h;n++){this.div.style.fontFamily=this.comparisonFont[n];if(this.div.offsetWidth!=j){return[j,this.div.offsetWidth,n,o]}}return null},loadWebFont:function(i){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+i.directory);var k=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+i.directory);var h=MathJax.Callback({});var j=MathJax.Callback(["loadComplete",this,i,k,h]);c.timer.start(c,[this.checkWebFont,i,j],1,this.timeout);return h},loadComplete:function(j,l,i,h){MathJax.Message.Clear(l);if(h===c.STATUS.OK){i();return}this.loadError(j);if(d.Browser.isFirefox&&e.allowWebFonts){var k=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){k+=":"+document.location.port}k+="/";if(c.fileURL(e.webfontDir).substr(0,k.length)!==k){this.firefoxFontError(j)}}e.loadWebFontError(j,i)},loadError:function(h){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+h.directory,null,2000)},firefoxFontError:function(h){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(h,i,j){if(h.time(j)){return}if(e.Font.testFont(i)){j(h.STATUS.OK)}else{setTimeout(h,h.delay)}},fontFace:function(j){var k=e.allowWebFonts;var m=e.FONTDATA.FONTS[j];if(e.msieFontCSSBug&&!m.family.match(/-Web$/)){m.family+="-Web"}var i=c.fileURL(e.webfontDir+"/"+k);var h=j.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!h.match(/-/)){h+="-Regular"}if(k==="svg"){h+=".svg#"+h}else{h+="."+k}var l={"font-family":m.family,src:"url('"+i+"/"+h+"')"};if(k==="svg"){l.src+=" format('svg')"}if(!(e.FontFaceBug&&m.isWebFont)){if(j.match(/-bold/)){l["font-weight"]="bold"}if(j.match(/-italic/)){l["font-style"]="italic"}}return l}});var f=MathJax.HTML.Event;var g=MathJax.HTML.Touch;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 i=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(i.scale){this.config.scale=i.scale}if(i.font&&i.font!=="Auto"){if(i.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(i.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(i.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(i.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var h=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!h&&this.allowWebFonts){h=this.config.webFont;if(h){this.webFonts=true}}if(!h&&this.config.imageFont){h=this.config.imageFont;this.imgFonts=true}if(h){this.fontInUse=h;this.fontDir+="/"+h;this.webfontDir+="/"+h;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 k=[],o=this.FONTDATA.VARIANT.normal.fonts;if(!(o instanceof Array)){o=[o]}for(var j=0,h=o.length;j<h;j++){k[j]=this.FONTDATA.FONTS[o[j]].family;if(!k[j]){k[j]=o[j]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":k.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 n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);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(l){}}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(l){}}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 j=0,h=e.config.preloadWebFonts.length;j<h;j++){var k=e.FONTDATA.FONTS[e.config.preloadWebFonts[j]];if(!k.available){e.Font.testFont(k)}}},Translate:function(n){if(!n.parentNode){return}var l=n.previousSibling;if(l&&String(l.className).match(/^MathJax(_MathML|_Display)?$/)){l.parentNode.removeChild(l)}var o=n.MathJax.elementJax.root,p,h,j;p=h=j=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:"HTML-CSS",oncontextmenu:f.Menu,onmousedown:f.Mousedown,onmouseover:f.Mouseover,onmouseout:f.Mouseout,onmousemove:f.Mousemove,onclick:f.Click,ondblclick:f.DblClick});if(MathJax.Hub.Browser.noContextMenu){p.ontouchstart=g.start;p.ontouchend=g.end}var k=(o.Get("display")==="block");if(k){h=j=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});h.appendChild(p)}h.setAttribute("role","textbox");h.setAttribute("aria-readonly","true");if(this.useProcessingFrame){j=this.Element((k?"div":"span"),{className:"MathJax_Processing"});j.appendChild(h)}n.parentNode.insertBefore(j,n);var i;try{this.getScales(p);i=(this.em===0||String(this.em)==="NaN")}catch(m){i=true}if(i){this.hiddenDiv.appendChild(j);this.getScales(p)}this.initImg(p);this.initHTML(o,p);o.setTeXclass();try{o.toHTML(p,h)}catch(m){if(m.restart){j.parentNode.removeChild(j)}throw m}if(i){n.parentNode.insertBefore(j,n)}if(this.useProcessingFrame){j.parentNode.replaceChild(h,j)}},HandleEvent:f.HandleEvent,ContextMenu:function(i,h,j){if(this.config.showMathMenu&&(this.settings.context==="MathJax"||j)){if(this.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(this.msieEventBug){i=window.event}if(h.parentNode.className==="MathJax_Display"){h=h.parentNode}return f.ContextMenu(i,h)}},Mousedown:function(j,i){if(this.config.showMathMenu){if(this.settings.context==="MathJax"){if(!this.noContextMenuBug||j.button!==2){return}}else{var h=(f.msieButtonBug?j.buttons&1:j.button);if(!j[e.MENUKEY]||h!==e.LEFTBUTTON){return}}return this.ContextMenu(j,i,true)}},initImg:function(h){},initHTML:function(i,h){},initFont:function(h){var j=e.FONTDATA.FONTS,i=e.config.availableFonts;if(i&&i.length&&e.Font.testFont(j[h])){j[h].available=true;return null}if(!this.allowWebFonts){return null}j[h].isWebFont=true;if(e.FontFaceBug){j[h].family=h;if(e.msieFontCSSBug){j[h].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(h)})},Remove:function(h){var i=h.SourceElement();if(!i){return}i=i.previousSibling;if(!i){return}if(i.className.match(/^MathJax/)){i.parentNode.removeChild(i)}},getScales:function(j){j.parentNode.insertBefore(this.HDMspan,j);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var i=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var h=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(i/this.TeX.x_height)/h)*this.config.scale);j.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&h===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=h*this.scale/100}j.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(j)},getMarginScale:function(h){return 1},getMSIEmarginScale:function(j){j.appendChild(this.marginCheck);var h=this.marginCheck.offsetWidth,i=this.marginMove.offsetWidth;var k=(2*i-h?i/(2*i-h):1);j.removeChild(this.marginCheck);return k},getHD:function(i){var h=i.style.position;i.style.position="absolute";this.HDimg.style.height="0px";i.appendChild(this.HDspan);var j={h:i.offsetHeight};this.HDimg.style.height=j.h+"px";j.d=i.offsetHeight-j.h;j.h-=j.d;j.h/=this.em;j.d/=this.em;i.removeChild(this.HDspan);i.style.position=h;return j},getW:function(k){var i=k.offsetWidth,j=(k.bbox?k.bbox.w:-1),l=k;if((j<0||this.negativeSkipBug)&&i>=0){if(this.negativeSkipBug){var h=k.style.position;k.style.position="absolute";l=this.startMarker;if(k.firstChild){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}l=this.startMarker}k.appendChild(this.endMarker);i=this.endMarker.offsetLeft-l.offsetLeft;k.removeChild(this.endMarker);if(this.negativeSkipBug){k.removeChild(l);k.style.position=h}}return i/this.em},Measured:function(j,i){if(j.bbox.width==null&&j.bbox.w&&!j.bbox.isMultiline){var h=this.getW(j);j.bbox.rw+=h-j.bbox.w;j.bbox.w=h}if(!i){i=j.parentNode}if(!i.bbox){i.bbox=j.bbox}return j},Remeasured:function(i,h){h.bbox=this.Measured(i,h).bbox},Em:function(h){if(Math.abs(h)<0.0006){return"0em"}return h.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(h){return(100*h).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(h){return this.Percent(this.length2em(h))},length2em:function(n,k){if(typeof(n)!=="string"){n=n.toString()}if(n===""){return""}if(n===a.SIZE.NORMAL){return 1}if(n===a.SIZE.BIG){return 2}if(n===a.SIZE.SMALL){return 0.71}if(n==="infinity"){return e.BIGDIMEN}var j=this.FONTDATA.TeX_factor;if(n.match(/mathspace$/)){return e.MATHSPACE[n]*j}var i=n.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var h=parseFloat(i[1]||"1"),l=i[2];if(k==null){k=1}if(l==="em"){return h*j}if(l==="ex"){return h*e.TeX.x_height*j}if(l==="%"){return h/100*k}if(l==="px"){return h/e.em}if(l==="pt"){return h/10*j}if(l==="pc"){return h*1.2*j}if(l==="in"){return h*this.pxPerInch/e.em}if(l==="cm"){return h*this.pxPerInch/e.em/2.54}if(l==="mm"){return h*this.pxPerInch/e.em/25.4}if(l==="mu"){return h/18*j}return h*j*k},thickness2em:function(h){var i=e.TeX.rule_thickness;if(h===a.LINETHICKNESS.MEDIUM){return i}if(h===a.LINETHICKNESS.THIN){return 0.67*i}if(h===a.LINETHICKNESS.THICK){return 1.67*i}return this.length2em(h,i)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(i,h,j){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(h)}});if(j){i.insertBefore(k,i.firstChild)}else{i.appendChild(k)}return k},createShift:function(i,h,k){var j=this.Element("span",{style:{marginLeft:this.Em(h)},isMathJax:true});if(k){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}return j},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(j,l,i){if(this.msiePaddingWidthBug){this.createStrut(j,0)}var k=String(i).match(/%$/);var h=(!k&&i!=null?i:0);j=this.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(k?"100%":this.Em(h)),height:0}});if(!l){j.parentNode.bbox=j.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:h,lw:this.BIGDIMEN,rw:(!k&&i!=null?i:-this.BIGDIMEN)};if(k){j.bbox.width=i}}return j},createBox:function(i,h){var j=this.addElement(i,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(h!=null){j.style.width=h}return j},addBox:function(h,i){i.style.position="absolute";i.isBox=true;return h.appendChild(i)},placeBox:function(p,o,n,k){p.isMathJax=true;var q=p.parentNode,z=p.bbox,u=q.bbox;if(this.msiePlaceBoxBug){this.addText(p,this.NBSP)}if(this.imgSpaceBug){this.addText(p,this.imgSpace)}var s=p.offsetHeight/this.em+1,B=0;if(p.noAdjust){s-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(p,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(s)}})}else{this.addElement(p,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(s)}})}}p.style.top=this.Em(-n-s);p.style.left=this.Em(o+B);if(z){if(this.negativeSkipBug){if(z.lw<0){B=z.lw;e.createBlank(p,-B,true);j=0}if(z.rw>z.w){e.createBlank(p,z.rw-z.w+0.1)}}if(!this.msieClipRectBug&&!z.noclip&&!k){var w=3/this.em;var v=(z.H==null?z.h:z.H),i=(z.D==null?z.d:z.D);var A=s-v-w,m=s+i+w,j=z.lw-3*w,h=1000;if(z.isFixed){h=z.width-j}p.style.clip="rect("+this.Em(A)+" "+this.Em(h)+" "+this.Em(m)+" "+this.Em(j)+")"}}if(z&&u){if(z.H!=null&&(u.H==null||z.H+n>u.H)){u.H=z.H+n}if(z.D!=null&&(u.D==null||z.D-n>u.D)){u.D=z.D-n}if(z.h+n>u.h){u.h=z.h+n}if(z.d-n>u.d){u.d=z.d-n}if(u.H!=null&&u.H<=u.h){delete u.H}if(u.D!=null&&u.D<=u.d){delete u.D}if(z.w+o>u.w){u.w=z.w+o;if(u.width==null){q.style.width=this.Em(u.w)}}if(z.rw+o>u.rw){u.rw=z.rw+o}if(z.lw+o<u.lw){u.lw=z.lw+o}if(z.width!=null&&!z.isFixed){if(u.width==null){q.style.width=u.width="100%"}p.style.width=z.width}}},alignBox:function(j,p,o){this.placeBox(j,0,o);var m=j.bbox;if(m.isMultiline){return}var i=m.width!=null&&!m.isFixed;var k=0,n=-m.w/2,h="50%";if(this.negativeSkipBug){k=m.w-m.rw-0.1;n+=m.lw}n=this.Em(n*this.msieMarginScale);if(i){n="";h=(50-parseFloat(m.width)/2)+"%"}d.Insert(j.style,({right:{left:"",right:this.Em(k)},center:{left:h,marginLeft:n}})[p])},setStackWidth:function(i,h){if(typeof(h)==="number"){i.style.width=this.Em(Math.max(0,h));if(i.bbox){i.bbox.w=h}if(i.parentNode.bbox){i.parentNode.bbox.w=h}}else{i.style.width=i.parentNode.style.width="100%";if(i.bbox){i.bbox.width=h}if(i.parentNode.bbox){i.parentNode.bbox.width=h}}},createDelimiter:function(s,h,k,o,l){if(!h){s.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};s.bbox.rw=s.bbox.w;this.createSpace(s,s.bbox.h,s.bbox.d,s.bbox.w);return}if(!o){o=1}if(!(k instanceof Array)){k=[k,k]}var r=k[1];k=k[0];var j={alias:h};while(j.alias){h=j.alias;j=this.FONTDATA.DELIMITERS[h];if(!j){j={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var q=0,n=j.HW.length;q<n;q++){if(j.HW[q][0]*o>=k-0.01||(q==n-1&&!j.stretch)){if(j.HW[q][2]){o*=j.HW[q][2]}if(j.HW[q][3]){h=j.HW[q][3]}var p=this.addElement(s,"span");this.createChar(p,[h,j.HW[q][1]],o,l);s.bbox=p.bbox;s.offset=0.65*s.bbox.w;s.scale=o;return}}if(j.stretch){this["extendDelimiter"+j.dir](s,r,j.stretch,o,l)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(y,j,B,D,t){var o=this.createStack(y,true);var l=this.createBox(o),z=this.createBox(o);this.createChar(l,(B.left||B.rep),D,t);this.createChar(z,(B.right||B.rep),D,t);var h=this.Element("span");this.createChar(h,B.rep,D,t);var A={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},i;this.placeBox(l,-l.bbox.lw,0,true);var r=(l.bbox.rw-l.bbox.lw)+(z.bbox.rw-z.bbox.lw)-0.05,q=l.bbox.rw-l.bbox.lw-0.025,s;if(B.mid){A=this.createBox(o);this.createChar(A,B.mid,D,t);r+=A.bbox.w}if(j>r){var C=h.bbox.rw-h.bbox.lw,m=C-0.05,u,p,v=(B.mid?2:1);p=u=Math.ceil((j-r)/(v*m));m=(j-r)/(v*u);s=(u/(u+1))*(C-m);m=C-s;q-=h.bbox.lw+s;while(v-->0){while(u-->0){if(!this.msieCloneNodeBug){i=h.cloneNode(true)}else{i=this.Element("span");this.createChar(i,B.rep,D,t)}this.placeBox(this.addBox(o,i),q,0,true);q+=m}if(B.mid&&v){this.placeBox(A,q,0,true);q+=A.bbox.w-s;u=p}}}else{s=Math.min(r-j,l.bbox.w/2);q-=s/2;if(B.mid){this.placeBox(A,q,0,true);q+=A.bbox.w}q-=s/2}this.placeBox(z,q,0,true);y.bbox={w:q+z.bbox.rw,lw:0,rw:q+z.bbox.rw,H:Math.max(l.bbox.h,h.bbox.h,z.bbox.h,A.bbox.h),D:Math.max(l.bbox.d,h.bbox.d,z.bbox.d,A.bbox.d),h:h.bbox.h,d:h.bbox.d};y.scale=D;y.isMultiChar=true;this.setStackWidth(o,y.bbox.w)},createChar:function(q,n,k,h){q.isMathJax=true;var p=q,r="",l={fonts:[n[1]],noRemap:true};if(h&&h===a.VARIANT.BOLD){l.fonts=[n[1]+"-bold",n[1]]}if(typeof(n[1])!=="string"){l=n[1]}if(n[0] instanceof Array){for(var o=0,j=n[0].length;o<j;o++){r+=String.fromCharCode(n[0][o])}}else{r=String.fromCharCode(n[0])}if(k!==1){p=this.addElement(q,"span",{style:{fontSize:this.Percent(k)},scale:k,isMathJax:true});this.handleVariant(p,l,r);q.bbox=p.bbox}else{this.handleVariant(q,l,r)}if(n[2]){q.style.marginLeft=this.Em(n[2])}if(this.AccentBug&&q.bbox.w===0){p.firstChild.nodeValue+=this.NBSP;e.createSpace(q,0,0,-q.offsetWidth/e.em)}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(x,l,q){var w="",u,A,r,j,z,B,h=x;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(A===this.PLANE1){y++;u=q.charCodeAt(y)+119808-56320;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u]}r=this.lookupChar(l,u);A=r[u];if(l!==z&&!A[5].img){if(w.length){this.addText(h,w);w=""}h=x;z=j;if(l!==z){if(z){h=this.addElement(x,"span",{isMathJax:true})}else{j=l}}this.handleFont(h,r,h!==x);z=l}w=this.handleChar(h,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(h,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},handleFont:function(j,h,l){j.style.fontFamily=h.family;if(!(e.FontFaceBug&&h.isWebFont)){var i=h.style||"normal",k=h.weight||"normal";if(i!=="normal"||l){j.style.fontStyle=i}if(k!=="normal"||l){j.style.fontWeight=k}}},handleChar:function(i,h,o,m,l){var k=o[5];if(k.img){return this.handleImg(i,h,o,m,l)}if(k.isUnknown&&this.FONTDATA.DELIMITERS[m]){if(l.length){this.addText(i,l)}var j=i.scale;e.createDelimiter(i,m,0,1,h);i.scale=j;o[0]=i.bbox.h*1000;o[1]=i.bbox.d*1000;o[2]=i.bbox.w*1000;o[3]=i.bbox.lw*1000;o[4]=i.bbox.rw*1000;return""}if(k.c==null){if(m<=65535){k.c=String.fromCharCode(m)}else{k.c=this.PLANE1+String.fromCharCode(m-119808+56320)}}if(o[2]||!this.msieAccentBug||l.length){return l+k.c}e.createShift(i,o[3]/1000);e.createShift(i,(o[4]-o[3])/1000);this.addText(i,k.c);e.createShift(i,-o[4]/1000);return""},handleImg:function(i,h,l,k,j){return j},lookupChar:function(l,r){var k,h;if(!l.FONTS){var q=this.FONTDATA.FONTS;var p=(l.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof 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i=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:o.mathbackground,width:e.Em(j),height:e.Em(n),verticalAlign:e.Em(h),marginLeft:e.Em(l),marginRight:e.Em(k)}});if(e.msieInlineBlockAlignBug){i.style.position="relative";i.style.width=i.style.height=0;i.style.verticalAlign=i.style.marginLeft=i.style.marginRight="";e.placeBox(e.addElement(i,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(j),height:e.Em(n),background:o.mathbackground}}),l,m.bbox.h+p)}m.parentNode.insertBefore(i,m);if(e.msieColorPositionBug){m.style.position="relative"}return i}return null},HTMLremoveColor:function(){var h=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(h){h.parentNode.removeChild(h)}},HTMLhandleSpace:function(k){if(this.useMMLspacing){if(this.type!=="mo"){return}var 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i=this.HTMLspanElement();if(i.style.fontSize!=""){h.fontsize=i.style.fontSize}}if(h.fontsize&&!this.mathsize){h.mathsize=h.fontsize}if(h.scriptlevel!==0){if(h.scriptlevel>2){h.scriptlevel=2}j=Math.pow(this.Get("scriptsizemultiplier"),h.scriptlevel);h.scriptminsize=e.length2em(h.scriptminsize);if(j<h.scriptminsize){j=h.scriptminsize}}j*=e.length2em(h.mathsize);return j},HTMLgetVariant:function(){var h=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var j=this.HTMLspanElement();if(j.style.fontFamily){h.fontfamily=j.style.fontFamily}if(j.style.fontWeight){h.fontweight=j.style.fontWeight}if(j.style.fontStyle){h.fontStyle=j.style.fontStyle}}var i=h.mathvariant;if(this.variantForm){i="-"+e.fontInUse+"-variant"}if(h.fontfamily&&!this.mathvariant){if(!h.fontweight&&h.mathvariant.match(/bold/)){h.fontweight="bold"}if(!h.fontstyle&&h.mathvariant.match(/italic/)){h.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:h.fontfamily,style:h.fontstyle,weight:h.fontweight}}}if(h.fontweight==="bold"){i={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}[i]||i}else{if(h.fontweight==="normal"){i={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}[i]||i}}if(h.fontstyle==="italic"){i={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[i]||i}else{if(h.fontstyle==="normal"){i={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[i]||i}}return 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o=(n.bbox.h-n.bbox.d)/2-e.TeX.axis_height*n.scale;if(e.safariVerticalAlignBug&&n.lastChild.nodeName==="IMG"){n.lastChild.style.verticalAlign=e.Em(parseFloat(n.lastChild.style.verticalAlign||0)/e.em-o/n.scale)}else{if(e.konquerorVerticalAlignBug&&n.lastChild.nodeName==="IMG"){n.style.position="relative";n.lastChild.style.position="relative";n.lastChild.style.top=e.Em(o/n.scale)}else{n.style.verticalAlign=e.Em(-o/n.scale)}}n.bbox.h-=o;n.bbox.d+=o;if(n.bbox.rw>n.bbox.w){n.bbox.ic=n.bbox.rw-n.bbox.w;e.createBlank(n,n.bbox.ic);n.bbox.w=n.bbox.rw}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcanStretch:function(h){if(!this.Get("stretchy")){return false}var i=this.data.join("");if(i.length>1){return false}i=e.FONTDATA.DELIMITERS[i.charCodeAt(0)];return(i&&i.dir==h.substr(0,1))},HTMLstretchV:function(n,m,p){this.HTMLremoveColor();var i=this.getValues("symmetric","maxsize","minsize");var l=this.HTMLspanElement(),j;var 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i}});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(h){var k=h.versionAtLeast("7.0");var j=h.versionAtLeast("8.0")&&document.documentMode>7;var i=(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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i=l.versionAtLeast("3.1");var h=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var m=(i&&l.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!l.versionAtLeast("5.0"))||(h!=null&&(h[1]<2||(h[1]==2&&h[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:!i,safariTextNodeBug:!j,safariWebFontSerif:["serif"],allowWebFonts:(i&&!m?"otf":false)});if(m){var k=d.config["HTML-CSS"];if(k){k.availableFonts=[];k.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(h){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(h.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(h){h.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:h.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(h.versionAtLeast("10.0")&&!h.isMini?"otf":false),adjustAvailableFonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}}})},Konqueror:function(h){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(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],1,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;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 ! important"},".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,Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;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")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;var l=[],p=this.FONTDATA.VARIANT.normal.fonts;if(!(p instanceof Array)){p=[p]}for(var k=0,j=p.length;k<j;k++){l[k]=this.FONTDATA.FONTS[p[k]].family;if(!l[k]){l[k]=p[k]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":l.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 o=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=o.offsetWidth/5;this.hiddenDiv.removeChild(o);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(n){}}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(n){}}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 k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},Translate:function(p){if(!p.parentNode){return}var n=p.previousSibling;if(n&&String(n.className).match(/^MathJax(_MathML|_Display)?$/)){n.parentNode.removeChild(n)}var j=p.MathJax.elementJax,q=j.root,r,i,l;r=i=l=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:this.id,id:j.inputID+"-Span",oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(MathJax.Hub.Browser.noContextMenu){r.ontouchstart=h.start;r.ontouchend=h.end}var m=(q.Get("display")==="block");if(m){i=l=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});i.appendChild(r)}i.setAttribute("role","textbox");i.setAttribute("aria-readonly","true");if(this.useProcessingFrame){l=this.Element((m?"div":"span"),{className:"MathJax_Processing"});l.appendChild(i)}p.parentNode.insertBefore(l,p);var k;try{this.getScales(r);k=(this.em===0||String(this.em)==="NaN")}catch(o){k=true}if(k){this.hiddenDiv.appendChild(l);this.getScales(r)}this.initImg(r);this.initHTML(q,r);q.setTeXclass();try{q.toHTML(r,i)}catch(o){if(o.restart){l.parentNode.removeChild(l)}throw o}if(k){p.parentNode.insertBefore(l,p)}if(this.useProcessingFrame){l.parentNode.replaceChild(i,l)}},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i){return i.root.HTMLspanElement()},getHoverBBox:function(i,l){var m=l.bbox,k=e.outerEm;var j={w:m.w*k,h:m.h*k,d:m.d*k};if(m.width){j.width=m.width}return j},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=i.SourceElement();if(!j){return}j=j.previousSibling;if(!j){return}if(j.className.match(/^MathJax/)){j.parentNode.removeChild(j)}},getScales:function(k){k.parentNode.insertBefore(this.HDMspan,k);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var j=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var i=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(j/this.TeX.x_height)/i)*this.config.scale);k.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&i===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=i*this.scale/100}k.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(k)},getMarginScale:function(i){return 1},getMSIEmarginScale:function(k){k.appendChild(this.marginCheck);var i=this.marginCheck.offsetWidth,j=this.marginMove.offsetWidth;var l=(2*j-i?j/(2*j-i):1);k.removeChild(this.marginCheck);return l},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(l){var j=l.offsetWidth,k=(l.bbox?l.bbox.w:-1),m=l;if((k<0||this.negativeSkipBug)&&j>=0){if(this.negativeSkipBug){var i=l.style.position;l.style.position="absolute";m=this.startMarker;if(l.firstChild){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}m=this.startMarker}l.appendChild(this.endMarker);j=this.endMarker.offsetLeft-m.offsetLeft;l.removeChild(this.endMarker);if(this.negativeSkipBug){l.removeChild(m);l.style.position=i}}return j/this.em},Measured:function(k,j){if(k.bbox.width==null&&k.bbox.w&&!k.bbox.isMultiline){var i=this.getW(k);k.bbox.rw+=i-k.bbox.w;k.bbox.w=i}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=k.bbox}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(i){return this.Percent(this.length2em(i))},length2em:function(o,l){if(typeof(o)!=="string"){o=o.toString()}if(o===""){return""}if(o===a.SIZE.NORMAL){return 1}if(o===a.SIZE.BIG){return 2}if(o===a.SIZE.SMALL){return 0.71}if(o==="infinity"){return e.BIGDIMEN}var k=this.FONTDATA.TeX_factor;if(o.match(/mathspace$/)){return e.MATHSPACE[o]*k}var j=o.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(j[1]||"1"),n=j[2];if(l==null){l=1}if(n==="em"){return i*k}if(n==="ex"){return i*e.TeX.x_height*k}if(n==="%"){return i/100*l}if(n==="px"){return i/e.em}if(n==="pt"){return i/10*k}if(n==="pc"){return i*1.2*k}if(n==="in"){return i*this.pxPerInch/e.em}if(n==="cm"){return i*this.pxPerInch/e.em/2.54}if(n==="mm"){return i*this.pxPerInch/e.em/25.4}if(n==="mu"){return i/18*k}return i*k*l},thickness2em:function(i){var j=e.TeX.rule_thickness;if(i===a.LINETHICKNESS.MEDIUM){return j}if(i===a.LINETHICKNESS.THIN){return 0.67*j}if(i===a.LINETHICKNESS.THICK){return 1.67*j}return this.length2em(i,j)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u=q.offsetHeight/this.em+1,C=0;if(q.noAdjust){u-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.negativeSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.negativeSkipBug){m=n.w-n.rw-0.1;o+=n.lw}o=this.Em(o*this.msieMarginScale);if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));if(j.bbox){j.bbox.w=i}if(j.parentNode.bbox){j.parentNode.bbox.w=i}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));o=(l-s)/(y*v);t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(l!==1){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP;e.createSpace(r,0,0,-r.offsetWidth/e.em)}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(y,o,r){var x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var l=o.remap[v];v=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{v=o.remap[v];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}if(this.FONTDATA.REMAP[v]&&!o.noRemap){v=this.FONTDATA.REMAP[v]}s=this.lookupChar(o,v);B=s[v];if(o!==A&&!B[5].img){if(x.length){this.addText(j,x);x=""}j=y;A=k;if(o!==A){if(A){j=this.addElement(y,"span",{isMathJax:true})}else{k=o}}this.handleFont(j,s,j!==y);A=o}x=this.handleChar(j,s,B,v,x);if(B[0]/1000>y.bbox.h){y.bbox.h=B[0]/1000}if(B[1]/1000>y.bbox.d){y.bbox.d=B[1]/1000}if(y.bbox.w+B[3]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.bbox.rw){y.bbox.rw=y.bbox.w+B[4]/1000}y.bbox.w+=B[2]/1000}if(x.length){this.addText(j,x)}if(y.scale&&y.scale!==1){y.bbox.h*=y.scale;y.bbox.d*=y.scale;y.bbox.w*=y.scale;y.bbox.lw*=y.scale;y.bbox.rw*=y.scale}if(r.length==1&&s.skew&&s.skew[v]){y.bbox.skew=s.skew[v]}},handleFont:function(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var j=i.style||"normal",l=i.weight||"normal";if(j!=="normal"||m){k.style.fontStyle=j}if(l!=="normal"||m){k.style.fontWeight=l}}},handleChar:function(j,i,p,o,m){var l=p[5];if(l.img){return this.handleImg(j,i,p,o,m)}if(l.isUnknown&&this.FONTDATA.DELIMITERS[o]){if(m.length){this.addText(j,m)}var k=j.scale;e.createDelimiter(j,o,0,1,i);j.scale=k;p[0]=j.bbox.h*1000;p[1]=j.bbox.d*1000;p[2]=j.bbox.w*1000;p[3]=j.bbox.lw*1000;p[4]=j.bbox.rw*1000;return""}if(l.c==null){if(o<=65535){l.c=String.fromCharCode(o)}else{l.c=this.PLANE1+String.fromCharCode(o-119808+56320)}}if(p[2]||!this.msieAccentBug||m.length){return m+l.c}e.createShift(j,p[3]/1000);e.createShift(j,(p[4]-p[3])/1000);this.addText(j,l.c);e.createShift(j,-p[4]/1000);return""},handleImg:function(j,i,m,l,k){return k},lookupChar:function(o,s){var l,j;if(!o.FONTS){var r=this.FONTDATA.FONTS;var q=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(o.fonts!=q){o.fonts=q}o.FONTS=[];for(l=0,j=q.length;l<j;l++){if(r[q[l]]){o.FONTS.push(r[q[l]]);r[q[l]].name=q[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[s]){if(k[s].length===5){k[s][5]={}}if(e.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,s)}}var p=(o.defaultFont||{family:e.config.undefinedFamily});if(o.bold){p.weight="bold"}if(o.italic){p.style="italic"}p[s]=[800,200,500,0,500,{isUnknown:true}];return p},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(j){var i=MathJax.Callback.Queue();i.Push(["Require",c,this.fontDir+"/"+j]);if(this.imgFonts){if(!MathJax.isPacked){j=j.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}i.Push(["Require",c,this.webfontDir+"/png/"+j])}d.RestartAfter(i.Push({}))},loadWebFont:function(i){i.available=i.isWebFont=true;if(e.FontFaceBug){i.family=i.name;if(e.msieFontCSSBug){i.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(i))},loadWebFontError:function(j,i){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");j.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 instead",null,3000);c.Require(this.directory+"/imageFonts.js",i)}else{this.allowWebFonts=false;i()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return 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k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(i,j,l,k){if(i){if(!k&&i.HTMLcanStretch("Vertical")){l.push(i);i=(i.CoreMO()||i)}this.HTMLcombineBBoxes(i,j)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(i){if(this.data[0]!=null){i=this.data[0].toHTML(i);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(i)}return 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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 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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/config/TeX-AMS_HTML.js b/config/TeX-AMS_HTML.js
@@ -31,13 +31,13 @@ MathJax.Hub.Config({"v1.0-compatible":false});
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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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:"1.1.3",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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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 e,b;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var g=MathJax.Extension.MathZoom={version:j,settings:a.config.menuSettings,HandleEvent:function(m,k,l){if(g.settings.CTRL&&!m.ctrlKey){return true}if(g.settings.ALT&&!m.altKey){return true}if(g.settings.CMD&&!m.metaKey){return true}if(g.settings.Shift&&!m.shiftKey){return true}if(!g[k]){return true}return g[k](m,l)},Click:function(l,k){if(this.settings.zoom==="Click"){return this.Zoom(k,l)}},DblClick:function(l,k){if(this.settings.zoom==="Double-Click"){return this.Zoom(k,l)}},Hover:function(l,k){if(this.settings.zoom==="Hover"){this.Zoom(k,l);return true}return false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var 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diff --git a/extensions/MathEvents.js b/extensions/MathEvents.js
@@ -0,0 +1,16 @@
+/*
+ * /MathJax/extensions/MathEvents.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
+ */
+
+(function(d,h,k,g,b){var o="1.1";var i=MathJax.Extension;var c=i.MathEvents={version:o};var j=d.config.menuSettings;var n={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A",},button:{x:-4,y:-3,wx:-2,src:k.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var l=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(p){return l.Handler(p,"Mousedown",this)},Mouseup:function(p){return 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q=(document.documentMode||0);c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=p.isIE9;if(q<9){l.LEFTBUTTON=1}},Safari:function(p){c.safariContextMenuBug=true},Konqueror:function(p){c.noContextMenuBug=true}});c.config=n=d.CombineConfig("MathEvents",n);var e=function(){var p=n.styles[".MathJax_Hover_Frame"];p.border=n.frame.bwidth+"px solid "+n.frame.bcolor+" ! important";p["box-shadow"]=p["-webkit-box-shadow"]=p["-moz-box-shadow"]=p["-khtml-box-shadow"]="0px 0px "+n.frame.hwidth+" "+n.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",k,n.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",k,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.OutputJax);
+
diff --git a/extensions/MathMenu.js b/extensions/MathMenu.js
@@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
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Requires:"),i.CHECKBOX((b.Browser.isMac?"Option":"Alt"),"ALT"),i.CHECKBOX("Command","CMD",{hidden:!b.Browser.isMac}),i.CHECKBOX("Control","CTRL",{hidden:b.Browser.isMac}),i.CHECKBOX("Shift","Shift")),i.SUBMENU("Zoom Factor",i.RADIO("125%","zscale"),i.RADIO("133%","zscale"),i.RADIO("150%","zscale"),i.RADIO("175%","zscale"),i.RADIO("200%","zscale"),i.RADIO("250%","zscale"),i.RADIO("300%","zscale"),i.RADIO("400%","zscale")),i.RULE(),i.SUBMENU("Math Renderer",{hidden:!k.showRenderer},i.RADIO("HTML-CSS","renderer",{action:a.Renderer}),i.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),i.SUBMENU("Font Preference",{hidden:!k.showFontMenu},i.LABEL("For HTML-CSS:"),i.RADIO("Auto","font",{action:a.Font}),i.RULE(),i.RADIO("TeX (local)","font",{action:a.Font}),i.RADIO("TeX (web)","font",{action:a.Font}),i.RADIO("TeX (image)","font",{action:a.Font}),i.RULE(),i.RADIO("STIX (local)","font",{action:a.Font})),i.SUBMENU("Contextual 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]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}MathJax.Callback.Queue(["Styles",g,k.styles],["getImages",a],["Post",b.Startup.signal,"MathMenu Ready"],["loadComplete",g,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax);
diff --git a/extensions/MathZoom.js b/extensions/MathZoom.js
@@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
-(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=MathJax.HTML.Event.False;var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){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("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({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(a,d,f,c,i){var j="1.1.3";var h=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 e,b;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var g=MathJax.Extension.MathZoom={version:j,settings:a.config.menuSettings,HandleEvent:function(m,k,l){if(g.settings.CTRL&&!m.ctrlKey){return true}if(g.settings.ALT&&!m.altKey){return true}if(g.settings.CMD&&!m.metaKey){return true}if(g.settings.Shift&&!m.shiftKey){return true}if(!g[k]){return true}return g[k](m,l)},Click:function(l,k){if(this.settings.zoom==="Click"){return this.Zoom(k,l)}},DblClick:function(l,k){if(this.settings.zoom==="Double-Click"){return this.Zoom(k,l)}},Hover:function(l,k){if(this.settings.zoom==="Hover"){this.Zoom(k,l);return true}return false},Zoom:function(t,m){this.Remove();b.ClearHoverTimer();var w=t.parentNode;if(w.className==="MathJax_MathContainer"){w=w.parentNode}if(w.parentNode.className==="MathJax_MathContainer"){w=w.parentNode.parentNode}var r=(String(w.className).match(/^MathJax_(MathML|Display)$/)?w:t).nextSibling;var n=a.getJaxFor(r),s=n.root;var p=(c&&n.outputJax.isa(c.constructor)?"HTMLCSS":(i&&n.outputJax.isa(i.constructor)?"MathML":null));if(!p){return}if(n.hover){b.UnHover(n)}var k=Math.floor(0.85*document.body.clientWidth),q=Math.floor(0.85*document.body.clientHeight);var l=d.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":k+"px","max-height":q+"px"}},[["span"]]]]);var y=l.lastChild,v=y.firstChild,o=l.firstChild;t.parentNode.insertBefore(l,t);if(this.msieZIndexBug){var u=d.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(l);l.style.position="absolute";l.style.zIndex=h.styles["#MathJax_ZoomOverlay"]["z-index"];l=u}var x=(this["Zoom"+p])(s,v,t);if(this.msiePositionBug){if(this.msieIE8Bug){v.style.position="absolute";y.style.height=v.offsetHeight;v.style.position="";if(y.offsetHeight<=q&&y.offsetWidth<=k){y.style.overflow="visible"}}if(this.msieWidthBug){y.style.width=Math.min(k,x.w)}else{if(x.w>k){y.style.width=k}}if(y.offsetHeight>q){y.style.Height=q+"px"}if(t.nextSibling){t.parentNode.insertBefore(l,t.nextSibling)}else{w.appendChild(l)}}else{if(this.operaPositionBug){y.style.width=Math.min(k,v.offsetWidth)+"px"}}this.Position(y,x,(p==="MathML"&&w.nodeName.toLowerCase()==="div"));y.style.visibility="";if(this.settings.zoom==="Hover"){o.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 e(m)},ZoomHTMLCSS:function(p,r,q){r.className="MathJax";c.idPostfix="-zoom";c.getScales(r,r);p.toHTML(r,r);var s=p.HTMLspanElement().bbox;c.idPostfix="";if(s.width&&s.width!=="100%"){var k=Math.floor(0.85*document.body.clientWidth);r.style.width=k+"px";r.style.display="inline-block";var l=(p.id||"MathJax-Span-"+p.spanID)+"-zoom";var m=document.getElementById(l).firstChild;while(m&&m.style.width!==s.width){m=m.nextSibling}if(m){m.style.width="100%"}}r.appendChild(this.topImg);var o=this.topImg.offsetTop;r.removeChild(this.topImg);var n=(this.msieWidthBug?c.getW(q)*c.em:q.offsetWidth);return{w:s.w*c.em,Y:-o,W:n}},ZoomMathML:function(l,m,n){l.toNativeMML(m,m);var o;m.appendChild(this.topImg);o=this.topImg.offsetTop;m.removeChild(this.topImg);var k=(this.ffMMLwidthBug?n.parentNode:n).offsetWidth;return{w:m.offsetWidth,Y:-o,W:k}},Position:function(q,o,s){var l=this.Resize(),n=l.x,m=l.y,k=o.W;if(this.msiePositionBug){k=-k}if(s&&this.ffMMLcenterBug){k=0}var r=-Math.floor((q.offsetWidth-k)/2),p=o.Y;q.style.left=Math.max(r,20-n)+"px";q.style.top=Math.max(p,20-m)+"px"},Resize:function(m){if(g.onresize){g.onresize(m)}var k=0,p=0,o=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var n=(g.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):o);if(g.operaPositionBug){o.style.border="1px solid"}if(n.offsetParent){do{k+=n.offsetLeft;p+=n.offsetTop}while(n=n.offsetParent)}if(g.operaPositionBug){o.style.border=""}if(g.msieZIndexBug){o.style.left=k+"px";o.style.top=p+"px"}l.style.left=(-k)+"px";l.style.top=(-p)+"px";if(g.msiePositionBug){setTimeout(g.SetWH,0)}else{g.SetWH()}return{x:k,y:p}},SetWH:function(){var k=document.getElementById("MathJax_ZoomOverlay");k.style.width=k.style.height="1px";k.style.width=document.body.scrollWidth+"px";k.style.height=document.body.scrollHeight+"px"},Remove:function(l){var m=document.getElementById("MathJax_ZoomFrame");if(m){m.parentNode.removeChild(m);m=document.getElementById("MathJax_ZoomTracker");if(m){m.parentNode.removeChild(m)}if(g.operaRefreshBug){var k=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(k)}if(window.removeEventListener){removeEventListener("resize",g.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",g.Resize)}else{window.onresize=g.onresize;delete g.onresize}}}return e(l)}};a.Browser.Select({MSIE:function(k){var l=(document.compatMode==="BackCompat");var m=k.versionAtLeast("8.0")&&document.documentMode>7;g.msiePositionBug=true;g.msieWidthBug=!l;g.msieIE8Bug=m;g.msieZIndexBug=!m;g.msieInlineBlockAlignBug=(!m||l);if(document.documentMode>=9){delete h.styles["#MathJax_Zoom"].filter}},Opera:function(k){g.operaPositionBug=true;g.operaRefreshBug=true},Firefox:function(k){g.ffMMLwidthBug=true;g.ffMMLcenterBug=true}});g.topImg=(g.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(g.operaPositionBug){g.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",f,h.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
diff --git a/jax/output/HTML-CSS/autoload/maction.js b/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="1.1.3";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(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",{isMathJax:true});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")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="1.1.4";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",{isMathJax:true});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(l){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){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/jax/output/HTML-CSS/config.js b/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:"1.1.8",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["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.11",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",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/jax/output/HTML-CSS/jax.js b/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(l,j){if(j&&this.testCollection(j)){return j}for(var k=0,h=l.length;k<h;k++){if(l[k]===j){continue}if(this.testCollection(l[k])){return l[k]}}return null},testCollection:function(h){return this.testFont(this.FontInfo[h])},testFont:function(k){if(k.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(k.weight||"normal");this.div.style.fontStyle=(k.style||"normal")}var j=this.getComparisonWidths(k.testString,k.noStyleChar);if(j){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==j[0]){this.div.style.fontFamily="'"+k.family+"',"+this.comparisonFont[j[2]];if(this.div.offsetWidth==j[1]){return false}}if(this.div.offsetWidth!=j[3]){if(k.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var l=0,h=this.testSize.length;l<h;l++){if(this.testStyleChar(k,this.testSize[l])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(j,l){var p=3+(j.weight?2:0)+(j.style?4:0);var i="",k=0;var o=this.div.style.fontSize;this.div.style.fontSize=l;if(e.msieItalicWidthBug&&j.style==="italic"){this.text.nodeValue=i=this.compChar;k=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+i}else{this.text.nodeValue=this.compChar+i}var h=this.div.offsetWidth-k;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+i}else{this.text.nodeValue=this.styleChar+i}var m=Math.floor((this.div.offsetWidth-k)/h+0.5);if(m===p){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+i}else{this.text.nodeValue=this.versionChar+i}j.version=Math.floor((this.div.offsetWidth-k)/h+1.5)/2}this.div.style.fontSize=o;return(m===p)},getComparisonWidths:function(l,k){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!k){l+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=l}else{this.text.nodeValue=l}this.div.style.fontFamily=this.comparisonFont[0];var j=this.div.offsetWidth,o=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];o=this.div.offsetWidth}for(var n=1,h=this.comparisonFont.length;n<h;n++){this.div.style.fontFamily=this.comparisonFont[n];if(this.div.offsetWidth!=j){return[j,this.div.offsetWidth,n,o]}}return null},loadWebFont:function(i){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+i.directory);var k=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+i.directory);var h=MathJax.Callback({});var j=MathJax.Callback(["loadComplete",this,i,k,h]);c.timer.start(c,[this.checkWebFont,i,j],1,this.timeout);return h},loadComplete:function(j,l,i,h){MathJax.Message.Clear(l);if(h===c.STATUS.OK){i();return}this.loadError(j);if(d.Browser.isFirefox&&e.allowWebFonts){var k=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){k+=":"+document.location.port}k+="/";if(c.fileURL(e.webfontDir).substr(0,k.length)!==k){this.firefoxFontError(j)}}e.loadWebFontError(j,i)},loadError:function(h){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+h.directory,null,2000)},firefoxFontError:function(h){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(h,i,j){if(h.time(j)){return}if(e.Font.testFont(i)){j(h.STATUS.OK)}else{setTimeout(h,h.delay)}},fontFace:function(j){var k=e.allowWebFonts;var m=e.FONTDATA.FONTS[j];if(e.msieFontCSSBug&&!m.family.match(/-Web$/)){m.family+="-Web"}var i=c.fileURL(e.webfontDir+"/"+k);var h=j.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!h.match(/-/)){h+="-Regular"}if(k==="svg"){h+=".svg#"+h}else{h+="."+k}var l={"font-family":m.family,src:"url('"+i+"/"+h+"')"};if(k==="svg"){l.src+=" format('svg')"}if(!(e.FontFaceBug&&m.isWebFont)){if(j.match(/-bold/)){l["font-weight"]="bold"}if(j.match(/-italic/)){l["font-style"]="italic"}}return l}});var f=MathJax.HTML.Event;var g=MathJax.HTML.Touch;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 i=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(i.scale){this.config.scale=i.scale}if(i.font&&i.font!=="Auto"){if(i.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(i.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(i.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(i.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var h=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!h&&this.allowWebFonts){h=this.config.webFont;if(h){this.webFonts=true}}if(!h&&this.config.imageFont){h=this.config.imageFont;this.imgFonts=true}if(h){this.fontInUse=h;this.fontDir+="/"+h;this.webfontDir+="/"+h;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 k=[],o=this.FONTDATA.VARIANT.normal.fonts;if(!(o instanceof Array)){o=[o]}for(var j=0,h=o.length;j<h;j++){k[j]=this.FONTDATA.FONTS[o[j]].family;if(!k[j]){k[j]=o[j]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":k.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 n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);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(l){}}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(l){}}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 j=0,h=e.config.preloadWebFonts.length;j<h;j++){var k=e.FONTDATA.FONTS[e.config.preloadWebFonts[j]];if(!k.available){e.Font.testFont(k)}}},Translate:function(n){if(!n.parentNode){return}var l=n.previousSibling;if(l&&String(l.className).match(/^MathJax(_MathML|_Display)?$/)){l.parentNode.removeChild(l)}var o=n.MathJax.elementJax.root,p,h,j;p=h=j=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:"HTML-CSS",oncontextmenu:f.Menu,onmousedown:f.Mousedown,onmouseover:f.Mouseover,onmouseout:f.Mouseout,onmousemove:f.Mousemove,onclick:f.Click,ondblclick:f.DblClick});if(MathJax.Hub.Browser.noContextMenu){p.ontouchstart=g.start;p.ontouchend=g.end}var k=(o.Get("display")==="block");if(k){h=j=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});h.appendChild(p)}h.setAttribute("role","textbox");h.setAttribute("aria-readonly","true");if(this.useProcessingFrame){j=this.Element((k?"div":"span"),{className:"MathJax_Processing"});j.appendChild(h)}n.parentNode.insertBefore(j,n);var i;try{this.getScales(p);i=(this.em===0||String(this.em)==="NaN")}catch(m){i=true}if(i){this.hiddenDiv.appendChild(j);this.getScales(p)}this.initImg(p);this.initHTML(o,p);o.setTeXclass();try{o.toHTML(p,h)}catch(m){if(m.restart){j.parentNode.removeChild(j)}throw m}if(i){n.parentNode.insertBefore(j,n)}if(this.useProcessingFrame){j.parentNode.replaceChild(h,j)}},HandleEvent:f.HandleEvent,ContextMenu:function(i,h,j){if(this.config.showMathMenu&&(this.settings.context==="MathJax"||j)){if(this.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(this.msieEventBug){i=window.event}if(h.parentNode.className==="MathJax_Display"){h=h.parentNode}return f.ContextMenu(i,h)}},Mousedown:function(j,i){if(this.config.showMathMenu){if(this.settings.context==="MathJax"){if(!this.noContextMenuBug||j.button!==2){return}}else{var h=(f.msieButtonBug?j.buttons&1:j.button);if(!j[e.MENUKEY]||h!==e.LEFTBUTTON){return}}return this.ContextMenu(j,i,true)}},initImg:function(h){},initHTML:function(i,h){},initFont:function(h){var j=e.FONTDATA.FONTS,i=e.config.availableFonts;if(i&&i.length&&e.Font.testFont(j[h])){j[h].available=true;return null}if(!this.allowWebFonts){return null}j[h].isWebFont=true;if(e.FontFaceBug){j[h].family=h;if(e.msieFontCSSBug){j[h].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(h)})},Remove:function(h){var i=h.SourceElement();if(!i){return}i=i.previousSibling;if(!i){return}if(i.className.match(/^MathJax/)){i.parentNode.removeChild(i)}},getScales:function(j){j.parentNode.insertBefore(this.HDMspan,j);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var i=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var h=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(i/this.TeX.x_height)/h)*this.config.scale);j.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&h===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=h*this.scale/100}j.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(j)},getMarginScale:function(h){return 1},getMSIEmarginScale:function(j){j.appendChild(this.marginCheck);var h=this.marginCheck.offsetWidth,i=this.marginMove.offsetWidth;var k=(2*i-h?i/(2*i-h):1);j.removeChild(this.marginCheck);return k},getHD:function(i){var h=i.style.position;i.style.position="absolute";this.HDimg.style.height="0px";i.appendChild(this.HDspan);var j={h:i.offsetHeight};this.HDimg.style.height=j.h+"px";j.d=i.offsetHeight-j.h;j.h-=j.d;j.h/=this.em;j.d/=this.em;i.removeChild(this.HDspan);i.style.position=h;return j},getW:function(k){var i=k.offsetWidth,j=(k.bbox?k.bbox.w:-1),l=k;if((j<0||this.negativeSkipBug)&&i>=0){if(this.negativeSkipBug){var h=k.style.position;k.style.position="absolute";l=this.startMarker;if(k.firstChild){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}l=this.startMarker}k.appendChild(this.endMarker);i=this.endMarker.offsetLeft-l.offsetLeft;k.removeChild(this.endMarker);if(this.negativeSkipBug){k.removeChild(l);k.style.position=h}}return i/this.em},Measured:function(j,i){if(j.bbox.width==null&&j.bbox.w&&!j.bbox.isMultiline){var h=this.getW(j);j.bbox.rw+=h-j.bbox.w;j.bbox.w=h}if(!i){i=j.parentNode}if(!i.bbox){i.bbox=j.bbox}return j},Remeasured:function(i,h){h.bbox=this.Measured(i,h).bbox},Em:function(h){if(Math.abs(h)<0.0006){return"0em"}return h.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(h){return(100*h).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(h){return this.Percent(this.length2em(h))},length2em:function(n,k){if(typeof(n)!=="string"){n=n.toString()}if(n===""){return""}if(n===a.SIZE.NORMAL){return 1}if(n===a.SIZE.BIG){return 2}if(n===a.SIZE.SMALL){return 0.71}if(n==="infinity"){return e.BIGDIMEN}var j=this.FONTDATA.TeX_factor;if(n.match(/mathspace$/)){return e.MATHSPACE[n]*j}var i=n.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var h=parseFloat(i[1]||"1"),l=i[2];if(k==null){k=1}if(l==="em"){return h*j}if(l==="ex"){return h*e.TeX.x_height*j}if(l==="%"){return h/100*k}if(l==="px"){return h/e.em}if(l==="pt"){return h/10*j}if(l==="pc"){return h*1.2*j}if(l==="in"){return h*this.pxPerInch/e.em}if(l==="cm"){return h*this.pxPerInch/e.em/2.54}if(l==="mm"){return h*this.pxPerInch/e.em/25.4}if(l==="mu"){return h/18*j}return h*j*k},thickness2em:function(h){var i=e.TeX.rule_thickness;if(h===a.LINETHICKNESS.MEDIUM){return i}if(h===a.LINETHICKNESS.THIN){return 0.67*i}if(h===a.LINETHICKNESS.THICK){return 1.67*i}return this.length2em(h,i)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(i,h,j){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(h)}});if(j){i.insertBefore(k,i.firstChild)}else{i.appendChild(k)}return k},createShift:function(i,h,k){var j=this.Element("span",{style:{marginLeft:this.Em(h)},isMathJax:true});if(k){i.insertBefore(j,i.firstChild)}else{i.appendChild(j)}return j},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(j,l,i){if(this.msiePaddingWidthBug){this.createStrut(j,0)}var k=String(i).match(/%$/);var h=(!k&&i!=null?i:0);j=this.addElement(j,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(k?"100%":this.Em(h)),height:0}});if(!l){j.parentNode.bbox=j.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:h,lw:this.BIGDIMEN,rw:(!k&&i!=null?i:-this.BIGDIMEN)};if(k){j.bbox.width=i}}return j},createBox:function(i,h){var j=this.addElement(i,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(h!=null){j.style.width=h}return j},addBox:function(h,i){i.style.position="absolute";i.isBox=true;return h.appendChild(i)},placeBox:function(p,o,n,k){p.isMathJax=true;var q=p.parentNode,z=p.bbox,u=q.bbox;if(this.msiePlaceBoxBug){this.addText(p,this.NBSP)}if(this.imgSpaceBug){this.addText(p,this.imgSpace)}var s=p.offsetHeight/this.em+1,B=0;if(p.noAdjust){s-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(p,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(s)}})}else{this.addElement(p,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(s)}})}}p.style.top=this.Em(-n-s);p.style.left=this.Em(o+B);if(z){if(this.negativeSkipBug){if(z.lw<0){B=z.lw;e.createBlank(p,-B,true);j=0}if(z.rw>z.w){e.createBlank(p,z.rw-z.w+0.1)}}if(!this.msieClipRectBug&&!z.noclip&&!k){var w=3/this.em;var v=(z.H==null?z.h:z.H),i=(z.D==null?z.d:z.D);var A=s-v-w,m=s+i+w,j=z.lw-3*w,h=1000;if(z.isFixed){h=z.width-j}p.style.clip="rect("+this.Em(A)+" "+this.Em(h)+" "+this.Em(m)+" "+this.Em(j)+")"}}if(z&&u){if(z.H!=null&&(u.H==null||z.H+n>u.H)){u.H=z.H+n}if(z.D!=null&&(u.D==null||z.D-n>u.D)){u.D=z.D-n}if(z.h+n>u.h){u.h=z.h+n}if(z.d-n>u.d){u.d=z.d-n}if(u.H!=null&&u.H<=u.h){delete u.H}if(u.D!=null&&u.D<=u.d){delete u.D}if(z.w+o>u.w){u.w=z.w+o;if(u.width==null){q.style.width=this.Em(u.w)}}if(z.rw+o>u.rw){u.rw=z.rw+o}if(z.lw+o<u.lw){u.lw=z.lw+o}if(z.width!=null&&!z.isFixed){if(u.width==null){q.style.width=u.width="100%"}p.style.width=z.width}}},alignBox:function(j,p,o){this.placeBox(j,0,o);var m=j.bbox;if(m.isMultiline){return}var i=m.width!=null&&!m.isFixed;var k=0,n=-m.w/2,h="50%";if(this.negativeSkipBug){k=m.w-m.rw-0.1;n+=m.lw}n=this.Em(n*this.msieMarginScale);if(i){n="";h=(50-parseFloat(m.width)/2)+"%"}d.Insert(j.style,({right:{left:"",right:this.Em(k)},center:{left:h,marginLeft:n}})[p])},setStackWidth:function(i,h){if(typeof(h)==="number"){i.style.width=this.Em(Math.max(0,h));if(i.bbox){i.bbox.w=h}if(i.parentNode.bbox){i.parentNode.bbox.w=h}}else{i.style.width=i.parentNode.style.width="100%";if(i.bbox){i.bbox.width=h}if(i.parentNode.bbox){i.parentNode.bbox.width=h}}},createDelimiter:function(s,h,k,o,l){if(!h){s.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};s.bbox.rw=s.bbox.w;this.createSpace(s,s.bbox.h,s.bbox.d,s.bbox.w);return}if(!o){o=1}if(!(k instanceof Array)){k=[k,k]}var r=k[1];k=k[0];var j={alias:h};while(j.alias){h=j.alias;j=this.FONTDATA.DELIMITERS[h];if(!j){j={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var q=0,n=j.HW.length;q<n;q++){if(j.HW[q][0]*o>=k-0.01||(q==n-1&&!j.stretch)){if(j.HW[q][2]){o*=j.HW[q][2]}if(j.HW[q][3]){h=j.HW[q][3]}var p=this.addElement(s,"span");this.createChar(p,[h,j.HW[q][1]],o,l);s.bbox=p.bbox;s.offset=0.65*s.bbox.w;s.scale=o;return}}if(j.stretch){this["extendDelimiter"+j.dir](s,r,j.stretch,o,l)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(y,j,B,D,t){var o=this.createStack(y,true);var l=this.createBox(o),z=this.createBox(o);this.createChar(l,(B.left||B.rep),D,t);this.createChar(z,(B.right||B.rep),D,t);var h=this.Element("span");this.createChar(h,B.rep,D,t);var A={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},i;this.placeBox(l,-l.bbox.lw,0,true);var r=(l.bbox.rw-l.bbox.lw)+(z.bbox.rw-z.bbox.lw)-0.05,q=l.bbox.rw-l.bbox.lw-0.025,s;if(B.mid){A=this.createBox(o);this.createChar(A,B.mid,D,t);r+=A.bbox.w}if(j>r){var C=h.bbox.rw-h.bbox.lw,m=C-0.05,u,p,v=(B.mid?2:1);p=u=Math.ceil((j-r)/(v*m));m=(j-r)/(v*u);s=(u/(u+1))*(C-m);m=C-s;q-=h.bbox.lw+s;while(v-->0){while(u-->0){if(!this.msieCloneNodeBug){i=h.cloneNode(true)}else{i=this.Element("span");this.createChar(i,B.rep,D,t)}this.placeBox(this.addBox(o,i),q,0,true);q+=m}if(B.mid&&v){this.placeBox(A,q,0,true);q+=A.bbox.w-s;u=p}}}else{s=Math.min(r-j,l.bbox.w/2);q-=s/2;if(B.mid){this.placeBox(A,q,0,true);q+=A.bbox.w}q-=s/2}this.placeBox(z,q,0,true);y.bbox={w:q+z.bbox.rw,lw:0,rw:q+z.bbox.rw,H:Math.max(l.bbox.h,h.bbox.h,z.bbox.h,A.bbox.h),D:Math.max(l.bbox.d,h.bbox.d,z.bbox.d,A.bbox.d),h:h.bbox.h,d:h.bbox.d};y.scale=D;y.isMultiChar=true;this.setStackWidth(o,y.bbox.w)},createChar:function(q,n,k,h){q.isMathJax=true;var p=q,r="",l={fonts:[n[1]],noRemap:true};if(h&&h===a.VARIANT.BOLD){l.fonts=[n[1]+"-bold",n[1]]}if(typeof(n[1])!=="string"){l=n[1]}if(n[0] instanceof Array){for(var o=0,j=n[0].length;o<j;o++){r+=String.fromCharCode(n[0][o])}}else{r=String.fromCharCode(n[0])}if(k!==1){p=this.addElement(q,"span",{style:{fontSize:this.Percent(k)},scale:k,isMathJax:true});this.handleVariant(p,l,r);q.bbox=p.bbox}else{this.handleVariant(q,l,r)}if(n[2]){q.style.marginLeft=this.Em(n[2])}if(this.AccentBug&&q.bbox.w===0){p.firstChild.nodeValue+=this.NBSP;e.createSpace(q,0,0,-q.offsetWidth/e.em)}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(x,l,q){var w="",u,A,r,j,z,B,h=x;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(A===this.PLANE1){y++;u=q.charCodeAt(y)+119808-56320;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u]}r=this.lookupChar(l,u);A=r[u];if(l!==z&&!A[5].img){if(w.length){this.addText(h,w);w=""}h=x;z=j;if(l!==z){if(z){h=this.addElement(x,"span",{isMathJax:true})}else{j=l}}this.handleFont(h,r,h!==x);z=l}w=this.handleChar(h,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(h,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},handleFont:function(j,h,l){j.style.fontFamily=h.family;if(!(e.FontFaceBug&&h.isWebFont)){var i=h.style||"normal",k=h.weight||"normal";if(i!=="normal"||l){j.style.fontStyle=i}if(k!=="normal"||l){j.style.fontWeight=k}}},handleChar:function(i,h,o,m,l){var k=o[5];if(k.img){return this.handleImg(i,h,o,m,l)}if(k.isUnknown&&this.FONTDATA.DELIMITERS[m]){if(l.length){this.addText(i,l)}var j=i.scale;e.createDelimiter(i,m,0,1,h);i.scale=j;o[0]=i.bbox.h*1000;o[1]=i.bbox.d*1000;o[2]=i.bbox.w*1000;o[3]=i.bbox.lw*1000;o[4]=i.bbox.rw*1000;return""}if(k.c==null){if(m<=65535){k.c=String.fromCharCode(m)}else{k.c=this.PLANE1+String.fromCharCode(m-119808+56320)}}if(o[2]||!this.msieAccentBug||l.length){return l+k.c}e.createShift(i,o[3]/1000);e.createShift(i,(o[4]-o[3])/1000);this.addText(i,k.c);e.createShift(i,-o[4]/1000);return""},handleImg:function(i,h,l,k,j){return j},lookupChar:function(l,r){var k,h;if(!l.FONTS){var q=this.FONTDATA.FONTS;var p=(l.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(l.fonts!=p){l.fonts=p}l.FONTS=[];for(k=0,h=p.length;k<h;k++){if(q[p[k]]){l.FONTS.push(q[p[k]]);q[p[k]].name=p[k]}}}for(k=0,h=l.FONTS.length;k<h;k++){var j=l.FONTS[k];if(typeof(j)==="string"){delete l.FONTS;this.loadFont(j)}if(j[r]){if(j[r].length===5){j[r][5]={}}if(e.allowWebFonts&&!j.available){this.loadWebFont(j)}else{return j}}else{this.findBlock(j,r)}}var o=(l.defaultFont||{family:e.config.undefinedFamily});if(l.bold){o.weight="bold"}if(l.italic){o.style="italic"}o[r]=[800,200,500,0,500,{isUnknown:true}];return o},findBlock:function(k,p){if(k.Ranges){for(var o=0,h=k.Ranges.length;o<h;o++){if(p<k.Ranges[o][0]){return}if(p<=k.Ranges[o][1]){var n=k.Ranges[o][2];for(var l=k.Ranges.length-1;l>=0;l--){if(k.Ranges[l][2]==n){k.Ranges.splice(l,1)}}this.loadFont(k.directory+"/"+n+".js")}}}},loadFont:function(i){var h=MathJax.Callback.Queue();h.Push(["Require",c,this.fontDir+"/"+i]);if(this.imgFonts){if(!MathJax.isPacked){i=i.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}h.Push(["Require",c,this.webfontDir+"/png/"+i])}d.RestartAfter(h.Push({}))},loadWebFont:function(h){h.available=h.isWebFont=true;if(e.FontFaceBug){h.family=h.name;if(e.msieFontCSSBug){h.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(h))},loadWebFontError:function(i,h){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");i.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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k=o.bbox={},p=[];while(l<h){var j=this.data[l];if(!j){continue}if(!n&&j.HTMLcanStretch("Vertical")){p.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k);l++}this.HTMLcleanBBox(k);return p},HTMLcombineBBoxes:function(h,i){if(i.w==null){this.HTMLemptyBBox(i)}var k=h.HTMLspanElement();if(!k||!k.bbox){return}var j=k.bbox;if(j.d>i.d){i.d=j.d}if(j.h>i.h){i.h=j.h}if(j.D!=null&&j.D>i.D){i.D=j.D}if(j.H!=null&&j.H>i.H){i.H=j.H}if(k.style.paddingLeft){i.w+=parseFloat(k.style.paddingLeft)*(k.scale||1)}if(i.w+j.lw<i.lw){i.lw=i.w+j.lw}if(i.w+j.rw>i.rw){i.rw=i.w+j.rw}i.w+=j.w;if(k.style.paddingRight){i.w+=parseFloat(k.style.paddingRight)*(k.scale||1)}if(j.width){i.width=j.width}},HTMLemptyBBox:function(h){h.h=h.d=h.H=h.D=h.rw=-e.BIGDIMEN;h.w=0;h.lw=e.BIGDIMEN;return h},HTMLcleanBBox:function(h){if(h.h===this.BIGDIMEN){h.h=h.d=h.H=h.D=h.w=h.rw=h.lw=0}if(h.D<=h.d){delete h.D}if(h.H<=h.h){delete h.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(h){if(this.isEmbellished()){return this.Core().HTMLcanStretch(h)}return false},HTMLstretchH:function(i,h){return this.HTMLspanElement()},HTMLstretchV:function(j,i,k){return this.HTMLspanElement()},HTMLnotEmpty:function(h){while(h){if((h.type!=="mrow"&&h.type!=="texatom")||h.data.length>1){return true}h=h.data[0]}return false},HTMLmeasureChild:function(i,h){if(this.data[i]!=null){e.Measured(this.data[i].toHTML(h),h)}else{h.bbox=this.HTMLzeroBBox()}},HTMLcreateSpan:function(h){if(this.spanID){var i=this.HTMLspanElement();if(i){while(i.firstChild){i.removeChild(i.firstChild)}i.bbox={w:0,h:0,d:0,lw:0,rw:0};i.scale=1;i.isMultChar=null;i.style.cssText="";return i}}if(this.href){h=e.addElement(h,"a",{href:this.href,isMathJax:true})}h=e.addElement(h,"span",{className:this.type,isMathJax:true});if(e.imgHeightBug){h.style.display="inline-block"}if(this["class"]!=null){h.className+=" 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o=this.getValues("mathcolor","color");if(this.mathbackground){o.mathbackground=this.mathbackground}if(this.background){o.background=this.background}if(this.style&&m.style.backgroundColor){o.mathbackground=m.style.backgroundColor;m.style.backgroundColor="transparent"}if(o.color&&!this.mathcolor){o.mathcolor=o.color}if(o.background&&!this.mathbackground){o.mathbackground=o.background}if(o.mathcolor){m.style.color=o.mathcolor}if(o.mathbackground&&o.mathbackground!==a.COLOR.TRANSPARENT){var p=1/e.em,l=0,k=0;if(this.isToken){l=m.bbox.lw;k=m.bbox.rw-m.bbox.w}if(m.style.paddingLeft!==""){l+=parseFloat(m.style.paddingLeft)*(m.scale||1)}if(m.style.paddingRight!==""){k-=parseFloat(m.style.paddingRight)*(m.scale||1)}var j=Math.max(0,e.getW(m)+(e.PaddingWidthBug?0:k-l));if(e.msieCharPaddingWidthBug&&m.style.paddingLeft!==""){j+=parseFloat(m.style.paddingLeft)*(m.scale||1)}var n=m.bbox.h+m.bbox.d,h=-m.bbox.d;if(j>0){j+=2*p;l-=p}if(n>0){n+=2*p;h-=p}k=-j-l;var i=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:o.mathbackground,width:e.Em(j),height:e.Em(n),verticalAlign:e.Em(h),marginLeft:e.Em(l),marginRight:e.Em(k)}});if(e.msieInlineBlockAlignBug){i.style.position="relative";i.style.width=i.style.height=0;i.style.verticalAlign=i.style.marginLeft=i.style.marginRight="";e.placeBox(e.addElement(i,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(j),height:e.Em(n),background:o.mathbackground}}),l,m.bbox.h+p)}m.parentNode.insertBefore(i,m);if(e.msieColorPositionBug){m.style.position="relative"}return i}return null},HTMLremoveColor:function(){var h=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(h){h.parentNode.removeChild(h)}},HTMLhandleSpace:function(k){if(this.useMMLspacing){if(this.type!=="mo"){return}var 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I=this.HTMLgetScale();var l=e.createStack(F),i;var k=e.createBox(l);this.HTMLmeasureChild(this.base,k);if(this.data[this.base]){if(y!=null){e.Remeasured(this.data[this.base].HTMLstretchV(k,C,y),k)}else{if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchH(k,C),k)}}}e.placeBox(k,0,0);var j=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var G=e.TeX.x_height*I,x=e.TeX.scriptspace*I*0.75;var h,m;if(this.HTMLnotEmpty(this.data[this.sup])){h=e.createBox(l);e.Measured(this.data[this.sup].toHTML(h),h);h.bbox.w+=x;h.bbox.rw=Math.max(h.bbox.w,h.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){m=e.createBox(l);e.Measured(this.data[this.sub].toHTML(m),m);m.bbox.w+=x;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}var A=e.TeX.sup_drop*j,z=e.TeX.sub_drop*j;var o=k.bbox.h-A,n=k.bbox.d+z,H=0,B;if(k.bbox.ic){H=k.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&k.bbox.scale===1&&!this.data[this.base].Get("largeop")){o=n=0}}var E=this.getValues("subscriptshift","superscriptshift");E.subscriptshift=(E.subscriptshift===""?0:e.length2em(E.subscriptshift));E.superscriptshift=(E.superscriptshift===""?0:e.length2em(E.superscriptshift));if(!h){if(m){n=Math.max(n,e.TeX.sub1*I,m.bbox.h-(4/5)*G,E.subscriptshift);e.placeBox(m,k.bbox.w+x-H,-n,m.bbox)}}else{if(!m){i=this.getValues("displaystyle","texprimestyle");B=e.TeX[(i.displaystyle?"sup1":(i.texprimestyle?"sup3":"sup2"))];o=Math.max(o,B*I,h.bbox.d+(1/4)*G,E.superscriptshift);e.placeBox(h,k.bbox.w+x,o,h.bbox)}else{n=Math.max(n,e.TeX.sub2*I);var w=e.TeX.rule_thickness*I;if((o-h.bbox.d)-(m.bbox.h-n)<3*w){n=3*w-o+h.bbox.d+m.bbox.h;A=(4/5)*G-(o-h.bbox.d);if(A>0){o+=A;n-=A}}e.placeBox(h,k.bbox.w+x,Math.max(o,E.superscriptshift));e.placeBox(m,k.bbox.w+x-H,-Math.max(n,E.subscriptshift))}}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},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(o,h){var l=this.Get("alttext");if(l){h.setAttribute("aria-label",l)}var i=e.addElement(o,"nobr",{isMathJax:true});o=this.HTMLcreateSpan(i);var m=e.createStack(o),j=e.createBox(m),n;m.style.fontSize=i.parentNode.style.fontSize;i.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;n=e.Measured(this.data[0].toHTML(j),j)}e.placeBox(j,0,0);var k=e.em/e.outerEm;e.em/=k;o.bbox.h*=k;o.bbox.d*=k;o.bbox.w*=k;o.bbox.lw*=k;o.bbox.rw*=k;if(n&&n.bbox.width!=null){m.style.width=n.bbox.width;j.style.width="100%"}this.HTMLhandleColor(o);if(n){e.createRule(o,n.bbox.h*k,n.bbox.d*k,0)}if(!this.isMultiline&&this.Get("display")==="block"&&o.bbox.width==null){var p=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(p.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){p.indentalign=p.indentalignfirst}if(p.indentalign===a.INDENTALIGN.AUTO){p.indentalign=this.displayAlign}h.style.textAlign=p.indentalign;if(p.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){p.indentshift=p.indentshiftfirst}if(p.indentshift==="auto"){p.indentshift=this.displayIndent}if(p.indentshift&&p.indentalign!==a.INDENTALIGN.CENTER){o.style[{left:"marginLeft",right:"marginRight"}[p.indentalign]]=e.Em(e.length2em(p.indentshift))}}return o}});a.TeXAtom.Augment({toHTML:function(i){i=this.HTMLcreateSpan(i);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var h=e.createStack(i);var j=e.createBox(h);e.Measured(this.data[0].toHTML(j),j);e.placeBox(j,0,e.TeX.axis_height-(j.bbox.h+j.bbox.d)/2+j.bbox.d)}else{i.bbox=this.data[0].toHTML(i).bbox}}this.HTMLhandleSpace(i);this.HTMLhandleColor(i);return i}});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(h){var k=h.versionAtLeast("7.0");var j=h.versionAtLeast("8.0")&&document.documentMode>7;var i=(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:h.isIE9,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:i,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(j&&!i),msieBorderWidthBug:i,msieInlineBlockAlignBug:(!j||i),msieVerticalAlignBug:(j&&!i),msiePlaceBoxBug:(j&&!i),msieClipRectBug:!j,msieNegativeSpaceBug:i,msieCloneNodeBug:(j&&h.version==="8.0"),negativeSkipBug:true,msieIE6:!k,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:h.isIE9,allowWebFonts:"eot"})},Firefox:function(i){var j=false;if(i.versionAtLeast("3.5")){var h=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,h.length)===h){j="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:j})},Safari:function(l){var j=l.versionAtLeast("3.0");var i=l.versionAtLeast("3.1");var h=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var m=(i&&l.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!l.versionAtLeast("5.0"))||(h!=null&&(h[1]<2||(h[1]==2&&h[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:!i,safariTextNodeBug:!j,safariWebFontSerif:["serif"],allowWebFonts:(i&&!m?"otf":false)});if(m){var k=d.config["HTML-CSS"];if(k){k.availableFonts=[];k.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(h){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(h.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(h){h.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:h.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(h.versionAtLeast("10.0")&&!h.isMini?"otf":false),adjustAvailableFonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}}})},Konqueror:function(h){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(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],1,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;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 ! important"},".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,Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;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")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;var l=[],p=this.FONTDATA.VARIANT.normal.fonts;if(!(p instanceof Array)){p=[p]}for(var k=0,j=p.length;k<j;k++){l[k]=this.FONTDATA.FONTS[p[k]].family;if(!l[k]){l[k]=p[k]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":l.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 o=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=o.offsetWidth/5;this.hiddenDiv.removeChild(o);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(n){}}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(n){}}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 k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},Translate:function(p){if(!p.parentNode){return}var n=p.previousSibling;if(n&&String(n.className).match(/^MathJax(_MathML|_Display)?$/)){n.parentNode.removeChild(n)}var j=p.MathJax.elementJax,q=j.root,r,i,l;r=i=l=this.Element("span",{className:"MathJax",isMathJax:true,jaxID:this.id,id:j.inputID+"-Span",oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(MathJax.Hub.Browser.noContextMenu){r.ontouchstart=h.start;r.ontouchend=h.end}var m=(q.Get("display")==="block");if(m){i=l=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});i.appendChild(r)}i.setAttribute("role","textbox");i.setAttribute("aria-readonly","true");if(this.useProcessingFrame){l=this.Element((m?"div":"span"),{className:"MathJax_Processing"});l.appendChild(i)}p.parentNode.insertBefore(l,p);var k;try{this.getScales(r);k=(this.em===0||String(this.em)==="NaN")}catch(o){k=true}if(k){this.hiddenDiv.appendChild(l);this.getScales(r)}this.initImg(r);this.initHTML(q,r);q.setTeXclass();try{q.toHTML(r,i)}catch(o){if(o.restart){l.parentNode.removeChild(l)}throw o}if(k){p.parentNode.insertBefore(l,p)}if(this.useProcessingFrame){l.parentNode.replaceChild(i,l)}},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i){return i.root.HTMLspanElement()},getHoverBBox:function(i,l){var m=l.bbox,k=e.outerEm;var j={w:m.w*k,h:m.h*k,d:m.d*k};if(m.width){j.width=m.width}return j},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=i.SourceElement();if(!j){return}j=j.previousSibling;if(!j){return}if(j.className.match(/^MathJax/)){j.parentNode.removeChild(j)}},getScales:function(k){k.parentNode.insertBefore(this.HDMspan,k);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var j=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var i=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(j/this.TeX.x_height)/i)*this.config.scale);k.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&i===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=i*this.scale/100}k.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(k)},getMarginScale:function(i){return 1},getMSIEmarginScale:function(k){k.appendChild(this.marginCheck);var i=this.marginCheck.offsetWidth,j=this.marginMove.offsetWidth;var l=(2*j-i?j/(2*j-i):1);k.removeChild(this.marginCheck);return l},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(l){var j=l.offsetWidth,k=(l.bbox?l.bbox.w:-1),m=l;if((k<0||this.negativeSkipBug)&&j>=0){if(this.negativeSkipBug){var i=l.style.position;l.style.position="absolute";m=this.startMarker;if(l.firstChild){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}m=this.startMarker}l.appendChild(this.endMarker);j=this.endMarker.offsetLeft-m.offsetLeft;l.removeChild(this.endMarker);if(this.negativeSkipBug){l.removeChild(m);l.style.position=i}}return j/this.em},Measured:function(k,j){if(k.bbox.width==null&&k.bbox.w&&!k.bbox.isMultiline){var i=this.getW(k);k.bbox.rw+=i-k.bbox.w;k.bbox.w=i}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=k.bbox}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(i){return this.Percent(this.length2em(i))},length2em:function(o,l){if(typeof(o)!=="string"){o=o.toString()}if(o===""){return""}if(o===a.SIZE.NORMAL){return 1}if(o===a.SIZE.BIG){return 2}if(o===a.SIZE.SMALL){return 0.71}if(o==="infinity"){return e.BIGDIMEN}var k=this.FONTDATA.TeX_factor;if(o.match(/mathspace$/)){return e.MATHSPACE[o]*k}var j=o.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(j[1]||"1"),n=j[2];if(l==null){l=1}if(n==="em"){return i*k}if(n==="ex"){return i*e.TeX.x_height*k}if(n==="%"){return i/100*l}if(n==="px"){return i/e.em}if(n==="pt"){return i/10*k}if(n==="pc"){return i*1.2*k}if(n==="in"){return i*this.pxPerInch/e.em}if(n==="cm"){return i*this.pxPerInch/e.em/2.54}if(n==="mm"){return i*this.pxPerInch/e.em/25.4}if(n==="mu"){return i/18*k}return i*k*l},thickness2em:function(i){var j=e.TeX.rule_thickness;if(i===a.LINETHICKNESS.MEDIUM){return j}if(i===a.LINETHICKNESS.THIN){return 0.67*j}if(i===a.LINETHICKNESS.THICK){return 1.67*j}return this.length2em(i,j)},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,o,i,j){var k=this.Em(Math.max(0,l+o)),n=this.Em(-o);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-o)}if(m.isBox||m.className=="mspace"){m.bbox={h:l*m.scale,d:o*m.scale,w:i*m.scale,rw:i*m.scale,lw:0};m.style.height=k;m.style.verticalAlign=n}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){var m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=this.Em(l+n),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0},noAdjust:true,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0},noAdjust:true,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u=q.offsetHeight/this.em+1,C=0;if(q.noAdjust){u-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.negativeSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.negativeSkipBug){m=n.w-n.rw-0.1;o+=n.lw}o=this.Em(o*this.msieMarginScale);if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));if(j.bbox){j.bbox.w=i}if(j.parentNode.bbox){j.parentNode.bbox.w=i}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));o=(l-s)/(y*v);t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(l!==1){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP;e.createSpace(r,0,0,-r.offsetWidth/e.em)}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(y,o,r){var 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j=i.mathvariant;if(this.variantForm){j="-"+e.fontInUse+"-variant"}if(i.fontfamily&&!this.mathvariant){if(!i.fontweight&&i.mathvariant.match(/bold/)){i.fontweight="bold"}if(!i.fontstyle&&i.mathvariant.match(/italic/)){i.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:i.fontfamily,style:i.fontstyle,weight:i.fontweight}}}if(i.fontweight==="bold"){j={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}[j]||j}else{if(i.fontweight==="normal"){j={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}[j]||j}}if(i.fontstyle==="italic"){j={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[j]||j}else{if(i.fontstyle==="normal"){j={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[j]||j}}return 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n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 0.45*(k-0.9*j)+0.6*j+Math.max(0,i.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var 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w=l.bbox.h-B,o=l.bbox.d+A,I=0,C;if(l.bbox.ic){I=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){w=o=0}}var F=this.getValues("subscriptshift","superscriptshift");F.subscriptshift=(F.subscriptshift===""?0:e.length2em(F.subscriptshift));F.superscriptshift=(F.superscriptshift===""?0:e.length2em(F.superscriptshift));if(!i){if(n){o=Math.max(o,e.TeX.sub1*J,n.bbox.h-(4/5)*H,F.subscriptshift);e.placeBox(n,l.bbox.w+y-I,-o,n.bbox)}}else{if(!n){j=this.getValues("displaystyle","texprimestyle");C=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];w=Math.max(w,C*J,i.bbox.d+(1/4)*H,F.superscriptshift);e.placeBox(i,l.bbox.w+y,w,i.bbox)}else{o=Math.max(o,e.TeX.sub2*J);var x=e.TeX.rule_thickness*J;if((w-i.bbox.d)-(n.bbox.h-o)<3*x){o=3*x-w+i.bbox.d+n.bbox.h;B=(4/5)*H-(w-i.bbox.d);if(B>0){w+=B;o-=B}}e.placeBox(i,l.bbox.w+y,Math.max(w,F.superscriptshift));e.placeBox(n,l.bbox.w+y-I,-Math.max(o,F.subscriptshift))}}this.HTMLhandleSpace(G);this.HTMLhandleColor(G);return G},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(p,i){var m=this.Get("alttext");if(m){i.setAttribute("aria-label",m)}var j=e.addElement(p,"nobr",{isMathJax:true});p=this.HTMLcreateSpan(j);var n=e.createStack(p),k=e.createBox(n),o;n.style.fontSize=j.parentNode.style.fontSize;j.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;o=e.Measured(this.data[0].toHTML(k),k)}e.placeBox(k,0,0);var l=e.em/e.outerEm;e.em/=l;p.bbox.h*=l;p.bbox.d*=l;p.bbox.w*=l;p.bbox.lw*=l;p.bbox.rw*=l;if(o&&o.bbox.width!=null){n.style.width=o.bbox.width;k.style.width="100%"}this.HTMLhandleColor(p);if(o){e.createRule(p,o.bbox.h*l,o.bbox.d*l,0)}if(!this.isMultiline&&this.Get("display")==="block"&&p.bbox.width==null){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}i.style.textAlign=q.indentalign;if(q.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift=this.displayIndent}if(q.indentshift&&q.indentalign!==a.INDENTALIGN.CENTER){p.style[{left:"marginLeft",right:"marginRight"}[q.indentalign]]=e.Em(e.length2em(q.indentshift))}}return p},HTMLspanElement:a.mbase.prototype.HTMLspanElement});a.TeXAtom.Augment({toHTML:function(j){j=this.HTMLcreateSpan(j);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var i=e.createStack(j);var k=e.createBox(i);e.Measured(this.data[0].toHTML(k),k);e.placeBox(k,0,e.TeX.axis_height-(k.bbox.h+k.bbox.d)/2+k.bbox.d)}else{j.bbox=this.data[0].toHTML(j).bbox}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j}});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(i){var l=i.versionAtLeast("7.0");var k=i.versionAtLeast("8.0")&&document.documentMode>7;var j=(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,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:j,msieMarginWidthBug:true,msiePaddingWidthBug:true,msieCharPaddingWidthBug:(k&&!j),msieBorderWidthBug:j,msieInlineBlockAlignBug:(!k||j),msieVerticalAlignBug:(k&&!j),msiePlaceBoxBug:(k&&!j),msieClipRectBug:!k,msieNegativeSpaceBug:j,msieCloneNodeBug:(k&&i.version==="8.0"),negativeSkipBug:true,msieIE6:!l,msieItalicWidthBug:true,zeroWidthBug:true,FontFaceBug:true,msieFontCSSBug:i.isIE9,allowWebFonts:"eot"})},Firefox:function(j){var k=false;if(j.versionAtLeast("3.5")){var i=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||(d.config.root+"/").substr(0,i.length)===i){k="otf"}}e.Augment({useProcessingFrame:true,ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:k})},Safari:function(m){var k=m.versionAtLeast("3.0");var j=m.versionAtLeast("3.1");var i=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var n=(j&&m.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!m.versionAtLeast("5.0"))||(i!=null&&(i[1]<2||(i[1]==2&&i[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,safariNegativeSpaceBug:true,safariVerticalAlignBug:!j,safariTextNodeBug:!k,safariWebFontSerif:["serif"],allowWebFonts:(j&&!n?"otf":false)});if(n){var l=d.config["HTML-CSS"];if(l){l.availableFonts=[];l.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(i){e.Augment({useProcessingFrame:true,rfuzz:0.05,AccentBug:true,AdjustSurd:true,allowWebFonts:(i.versionAtLeast("4.0")?"otf":"svg"),safariNegativeSpaceBug:true,safariWebFontSerif:[""]})},Opera:function(i){i.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({useProcessingFrame:true,operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:i.versionAtLeast("10.61"),negativeSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(i.versionAtLeast("10.0")&&!i.isMini?"otf":false),adjustAvailableFonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}}})},Konqueror:function(i){e.Augment({konquerorVerticalAlignBug: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/jax/output/NativeMML/config.js b/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:"1.1.5",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");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.7",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
diff --git a/jax/output/NativeMML/jax.js b/jax/output/NativeMML/jax.js
@@ -12,5 +12,5 @@
* http://www.apache.org/licenses/LICENSE-2.0
*/
-(function(b,e,d,g,f){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 d.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 j=e.config.displayAlign,h=e.config.displayIndent;var i={"text-align":j+"!important"};i["margin-"+j]=h+"!important";MathJax.Hub.Insert(this.config.styles,{"div.MathJax_MathML":i,"div.MathJax_MathML math":{"text-align":j},"div.MathJax_MathContainer > span":{"text-align":j+"!important"}})}},InitializeMML:function(){this.initialized=true;if(e.Browser.isMSIE){try{var h=document.createElement("object");h.id="mathplayer";h.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(h);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(i){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(i){if(!i.parentNode){return}if(!this.initialized){this.InitializeMML()}var m=i.previousSibling;if(m&&String(m.className).match(/^MathJax(_MathML|_Display)?$/)){m.parentNode.removeChild(m)}var l=i.MathJax.elementJax.root;var k=(l.Get("display")==="block"?"div":"span");var j=document.createElement(k),h=j;j.className="MathJax_MathML";j.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){h=g.addElement(j,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}l.toNativeMML(h);i.parentNode.insertBefore(j,i);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(j)}}else{l=j.firstChild;l.jaxID="NativeMML";l.oncontextmenu=f.Menu;l.onmouseover=f.Mouseover;l.onmousout=f.Mouseout;l.onmousedown=f.Mousedown;l.onclick=f.Click;l.ondblclick=f.DblClick}},Remove:function(h){var i=h.SourceElement();if(!i){return}i=i.previousSibling;if(!i){return}if(i.className.match(/MathJax_MathML/)){i.parentNode.removeChild(i)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(o){var n=o.firstChild;o.style.position="absolute";var p=o.scrollHeight,j=o.offsetWidth;var l=g.addElement(o,"img",{src:"about:blank",style:{width:0,height:p+"px"}});var h=o.scrollHeight-p;o.removeChild(l);o.style.position="";var m,k,i=(o.parentNode.nodeName.toLowerCase()==="div");if(i&&this.quirks){m=-p;k=Math.floor(-j/2)}else{m=h-p,k=-j}g.addElement(o,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:k+"px",top:m+"px",width:n.offsetWidth+"px",height:p+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(h){var i=h.parentNode.previousSibling.firstChild;return(i.nodeName.toLowerCase()==="span"?i.firstChild:i)},MSIEevent:function(){var i=b.MSIEmath(this);var h=window.event;var j=b["MSIE"+h.type];if(j&&j.call(b,h,i,this)){return false}if(i.fireEvent){i.fireEvent("on"+h.type,h)}return false},MSIEmousedown:function(j,i,h){if(j[this.MENUKEY]&&j.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu(j,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(j)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(j,i,h){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu(j,h);return true}return false},HandleEvent:f.HandleEvent,ContextMenu:function(i,h,j){if(this.config.showMathMenu&&(this.settings.context==="MathJax"||j)){if(document.selection){setTimeout("document.selection.empty()",0)}if(this.msieEventBug){i=window.event}h=h.parentNode;if(c){h=h.parentNode}delete this.trapClick;delete this.trapUp;return f.ContextMenu(i,h)}},Mousedown:function(i,h){if(this.config.showMathMenu){if(this.settings.context==="MathJax"){if(!this.noContextMenuBug||i.button!==2){return}}else{if(!i[b.MENUKEY]||i.button!==b.LEFTBUTTON){return}}return this.ContextMenu(i,h,true)}},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(n){var k=this.NativeMMLelement(this.type);this.NativeMMLattributes(k);for(var l=0,j=this.data.length;l<j;l++){if(this.data[l]){this.data[l].toNativeMML(k)}else{k.appendChild(this.NativeMMLelement("mrow"))}}n.appendChild(k)},NativeMMLattributes:function(k){var o=this.defaults;var q=this.NativeMMLcopyAttributes,n=this.NativeMMLskipAttributes;if(this.type==="mstyle"){o=a.math.prototype.defaults}for(var p in o){if(!n[p]&&o.hasOwnProperty(p)){if(this[p]!=null){k.setAttribute(p,this.NativeMMLattribute(p,this[p]))}}}for(var l=0,j=q.length;l<j;l++){if(this[q[l]]!=null){k.setAttribute(q[l],this.NativeMMLattribute(q[l],this[q[l]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(j,i){i=String(i);if(b.NAMEDSPACE[i]){i=b.NAMEDSPACE[i]}else{if(i.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){i=((1/18)*RegExp.$1)+"em"}else{if(i==="-tex-caligraphic"){i="script"}else{if(i==="-tex-oldstyle"){i="normal"}}}}return i},NativeMMLelement:(c?function(i){return document.createElement("mjx:"+i)}:function(i){return document.createElementNS(b.MMLnamespace,i)})});a.mrow.Augment({toNativeMML:function(l){if(this.inferred&&this.parent.inferRow){for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,l)}}});a.msubsup.Augment({toNativeMML:function(o){var n=this.type;if(this.data[this.sup]==null){n="msub"}if(this.data[this.sub]==null){n="msup"}var k=this.NativeMMLelement(n);this.NativeMMLattributes(k);delete this.data[0].inferred;for(var l=0,j=this.data.length;l<j;l++){if(this.data[l]){this.data[l].toNativeMML(k)}}o.appendChild(k)}});a.munderover.Augment({toNativeMML:function(o){var n=this.type;if(this.data[this.under]==null){n="mover"}if(this.data[this.over]==null){n="munder"}var k=this.NativeMMLelement(n);this.NativeMMLattributes(k);delete this.data[0].inferred;for(var l=0,j=this.data.length;l<j;l++){if(this.data[l]){this.data[l].toNativeMML(k)}}o.appendChild(k)}});if(e.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(i){if(this.width){var j=(this.style||"").replace(/;\s*$/,"").split(";");j.push("width:"+this.width);this.style=j.join(";")}this.SUPER(arguments).toNativeMML.call(this,i)}});a.mlabeledtr.Augment({toNativeMML:function(n){var k=this.NativeMMLelement("mtr");this.NativeMMLattributes(k);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.data[l].toNativeMML(k)}else{k.appendChild(this.NativeMMLelement("mrow"))}}n.appendChild(k)}});var h=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('"+h+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+h+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+h+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+h+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+h+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+h+"/MathJax_Caligraphic-Bold.otf')"}}}})}a.TeXAtom.Augment({toNativeMML:function(j){var i=this.NativeMMLelement("mrow");this.data[0].toNativeMML(i);j.appendChild(i)}});a.chars.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(i){i.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(l){for(var k=0,j=this.data.length;k<j;k++){l.appendChild(this.data[k].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(i){this.Core().toNativeMML(i)}})});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,MathJax.HTML,MathJax.HTML.Event);
+(function(i,b,f,d){var e,h=b.Browser.isMSIE;var g,a,c;i.Augment({LEFTBUTTON:(h?1:0),MENUKEY:"altKey",noContextMenuBug:b.Browser.isKonequeror,msieQuirks:(h&&!(document.compatMode==="BackCompat")),msieEventBug:b.Browser.isIE9,config:{styles:{}},settings:b.config.menuSettings,Startup:function(){g=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;return f.Styles(this.config.styles)},Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(b.config.displayAlign!=="center"){var l=b.config.displayAlign,j=b.config.displayIndent;var k={"text-align":l+"!important"};k["margin-"+l]=j+"!important";MathJax.Hub.Insert(this.config.styles,{"div.MathJax_MathML":k,"div.MathJax_MathML math":{"text-align":l},"div.MathJax_MathContainer > span":{"text-align":l+"!important"}})}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},InitializeMML:function(){this.initialized=true;if(b.Browser.isMSIE){try{var j=document.createElement("object");j.id="mathplayer";j.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(j);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(k){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(k){if(!k.parentNode){return}if(!this.initialized){this.InitializeMML()}var p=k.previousSibling;if(p&&String(p.className).match(/^MathJax(_MathML|_Display)?$/)){p.parentNode.removeChild(p)}var o=k.MathJax.elementJax.root;var n=(o.Get("display")==="block"?"div":"span");var m=d.Element(n,{className:"MathJax_MathML",style:{"font-size":this.config.scale+"%"}},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]),j=m.firstChild;o.toNativeMML(j.firstChild);k.parentNode.insertBefore(m,k);if(h){if(j.addEventListener){j.addEventListener("contextmenu",g.Menu,true);j.addEventListener("mouseover",g.Mouseover,true);j.addEventListener("mouseout",g.Mouseout,true);j.addEventListener("mousedown",g.Mousedown,true);j.addEventListener("mouseup",g.False,true);j.addEventListener("click",g.Click,true);j.addEventListener("dblclick",g.DblClick,true)}else{var l=(this.config.showMathMenuMSIE!=null?this:b).config;if(l.showMathMenuMSIE){this.MSIEoverlay(j)}}}else{j.oncontextmenu=g.Menu;j.onmouseover=g.Mouseover;j.onmouseout=g.Mouseout;j.onmousedown=g.Mousedown;j.onclick=g.Click;j.ondblclick=g.DblClick}},Remove:function(j){var k=j.SourceElement();if(!k){return}k=k.previousSibling;if(!k){return}if(k.className.match(/MathJax_MathML/)){k.parentNode.removeChild(k)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(j){var k=j.firstChild;if(k.nodeName.toLowerCase()==="span"){k=k.firstChild}var l=this.getHoverBBox(null,k,{});d.addElement(j,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:c.Px(-l.w),top:c.Px(-l.h-(l.y||0)-1),width:c.Px(l.w),height:c.Px(l.h+l.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);b.Insert(j,{msieMath:k,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var k=window.event;var j=i.MSIEevents[k.type];if(i[j]&&i[j](k,this)===false){return false}if(MathJax.Extension.MathZoom&&MathJax.Extension.MathZoom.HandleEvent(k,j,this)===false){return false}if(k.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){this.msieMath.fireEvent("on"+k.type,k)}return g.False(k)},getJaxFromMath:function(j){if(j.className==="MathJax_MSIE_Overlay"){j=j.parentNode.parentNode}return b.getJaxFor(j.parentNode.nextSibling)},getHoverSpan:function(j,k){if(k.className==="MathJax_MSIE_Overlay"){return k.parentNode}return k.firstChild},getHoverBBox:function(l,n,o){n=n.parentNode;n.appendChild(this.topImg);var m=this.topImg.offsetTop,p=n.offsetHeight-m,k=n.offsetWidth;n.removeChild(this.topImg);var j=(o.className==="MathJax_MSIE_Overlay"?-k:0);return{w:k,h:m,d:p,x:j}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(o){var l=this.NativeMMLelement(this.type);this.NativeMMLattributes(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)},NativeMMLattributes:function(l){var p=this.defaults;var r=this.NativeMMLcopyAttributes,o=this.NativeMMLskipAttributes;if(this.type==="mstyle"){p=e.math.prototype.defaults}for(var q in p){if(!o[q]&&p.hasOwnProperty(q)){if(this[q]!=null){l.setAttribute(q,this.NativeMMLattribute(q,this[q]))}}}for(var n=0,k=r.length;n<k;n++){if(this[r[n]]!=null){l.setAttribute(r[n],this.NativeMMLattribute(r[n],this[r[n]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(l,k){k=String(k);if(i.NAMEDSPACE[k]){k=i.NAMEDSPACE[k]}else{if(k.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){k=((1/18)*RegExp.$1)+"em"}else{if(k==="-tex-caligraphic"){k="script"}else{if(k==="-tex-oldstyle"){k="normal"}}}}return k},NativeMMLelement:function(k){var l=(h?document.createElement("mjx:"+k):document.createElementNS(i.MMLnamespace,k));l.isMathJax=true;return l}});e.mrow.Augment({toNativeMML:function(n){if(this.inferred&&this.parent.inferRow){for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,n)}}});e.msubsup.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.sup]==null){o="msub"}if(this.data[this.sub]==null){o="msup"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});e.munderover.Augment({toNativeMML:function(p){var o=this.type;if(this.data[this.under]==null){o="mover"}if(this.data[this.over]==null){o="munder"}var l=this.NativeMMLelement(o);this.NativeMMLattributes(l);delete this.data[0].inferred;for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}}p.appendChild(l)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(k){if(this.width){var l=(this.style||"").replace(/;\s*$/,"").split(";");l.push("width:"+this.width);this.style=l.join(";")}this.SUPER(arguments).toNativeMML.call(this,k)}});e.mlabeledtr.Augment({toNativeMML:function(o){var l=this.NativeMMLelement("mtr");this.NativeMMLattributes(l);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.data[n].toNativeMML(l)}else{l.appendChild(this.NativeMMLelement("mrow"))}}o.appendChild(l)}});var j=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";i.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('"+j+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script",src:"local('MathJax_Script'), url('"+j+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur",src:"local('MathJax_Fraktur'), url('"+j+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic",src:"local('MathJax_Caligraphic'), url('"+j+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur","font-weight":"bold",src:"local('MathJax_Fraktur-Bold'), url('"+j+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic","font-weight":"bold",src:"local('MathJax_Caligraphic-Bold'), url('"+j+"/MathJax_Caligraphic-Bold.otf')"}}}})}e.TeXAtom.Augment({toNativeMML:function(l){var k=this.NativeMMLelement("mrow");this.data[0].toNativeMML(k);l.appendChild(k)}});e.chars.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(k){k.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(n){for(var l=0,k=this.data.length;l<k;l++){n.appendChild(this.data[l].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(k){this.Core().toNativeMML(k)}})});setTimeout(MathJax.Callback(["loadComplete",i,"jax.js"]),0)});b.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;i.msieInlineBlockAlignBug=(!l||k);i.msieTopBug=(!j.versionAtLeast("8.0")||document.documentMode===7)},Opera:function(j){i.operaPositionBug=true}});i.topImg=(i.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(i.operaPositionBug||i.msieTopBug){i.topImg.style.border="1px solid"}b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
diff --git a/unpacked/extensions/MathEvents.js b/unpacked/extensions/MathEvents.js
@@ -173,7 +173,7 @@
// Mousedown handler for alternate means of accessing menu
//
AltContextMenu: function (event,math) {
- var JAX = OUTPUT[math.jaxID], jax = JAX.getJaxFromMath(math);
+ var JAX = OUTPUT[math.jaxID];
var show = (JAX.config.showMathMenu != null ? JAX : HUB).config.showMathMenu;
if (show) {
if (SETTINGS.context === "MathJax") {
diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js
@@ -22,7 +22,7 @@
* limitations under the License.
*/
-(function (nMML,HUB,AJAX,HTML,EVENT) {
+(function (nMML,HUB,AJAX,HTML) {
var MML, isMSIE = HUB.Browser.isMSIE;
var EVENT, TOUCH, HOVER; // filled in later
@@ -509,4 +509,4 @@
{AJAX.Require("[MathJax]/extensions/MathZoom.js")}
});
-})(MathJax.OutputJax.NativeMML, MathJax.Hub, MathJax.Ajax, MathJax.HTML, MathJax.HTML.Event);
+})(MathJax.OutputJax.NativeMML, MathJax.Hub, MathJax.Ajax, MathJax.HTML);
