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scribble-mathjax/config/Accessible-full.js

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/*
* /MathJax/config/Accessible-full.js
*
* Copyright (c) 2010-11 Design Science, Inc.
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
MathJax.Hub.Config({delayJaxRegistration: true});
MathJax.Ajax.Preloading(
"[MathJax]/jax/input/TeX/config.js",
"[MathJax]/jax/input/MathML/config.js",
"[MathJax]/jax/output/HTML-CSS/config.js",
"[MathJax]/jax/output/NativeMML/config.js",
"[MathJax]/config/MMLorHTML.js",
"[MathJax]/extensions/tex2jax.js",
"[MathJax]/extensions/mml2jax.js",
"[MathJax]/extensions/MathEvents.js",
"[MathJax]/extensions/MathZoom.js",
"[MathJax]/extensions/MathMenu.js",
"[MathJax]/jax/element/mml/jax.js",
"[MathJax]/extensions/toMathML.js",
"[MathJax]/extensions/TeX/noErrors.js",
"[MathJax]/extensions/TeX/noUndefined.js",
"[MathJax]/jax/input/TeX/jax.js",
"[MathJax]/extensions/TeX/AMSmath.js",
"[MathJax]/extensions/TeX/AMSsymbols.js",
"[MathJax]/jax/input/MathML/jax.js",
"[MathJax]/jax/output/NativeMML/jax.js",
"[MathJax]/jax/output/HTML-CSS/jax.js",
"[MathJax]/jax/output/HTML-CSS/autoload/mtable.js"
);
MathJax.Hub.Config({"v1.0-compatible":false});
MathJax.Hub.Config({
showMathMenuMSIE: false,
menuSettings: {
zoom: "Double-Click"
},
errorSettings: {
message: ["[Math Error]"]
}
});
MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.10",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+a},formatURL:function(a){return"#mjx-eqn-"+escape(a)}}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.9",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:"1.1.15",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",mtextFontInherit:false,EqnChunk:50,EqnChunkFactor:1.5,EqChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax_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==="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:"1.1.12",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,minScaleAdjust:50,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
(function(c){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;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.isSafari&&c.Browser.versionAtLeast("5.0"))||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
MathJax.Extension.tex2jax={version:"1.1.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return 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{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterTeX(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterTeX:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
(function(d,h,l,g,b,j){var p="1.1";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var m=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(q){return m.Handler(q,"Mousedown",this)},Mouseup:function(q){return m.Handler(q,"Mouseup",this)},Mousemove:function(q){return m.Handler(q,"Mousemove",this)},Mouseover:function(q){return m.Handler(q,"Mouseover",this)},Mouseout:function(q){return m.Handler(q,"Mouseout",this)},Click:function(q){return m.Handler(q,"Click",this)},DblClick:function(q){return m.Handler(q,"DblClick",this)},Menu:function(q){return m.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return m.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true;q.returnValue=false}return false},ContextMenu:function(r,x,u){var v=b[x.jaxID],t=v.getJaxFromMath(x);var y=(v.config.showMathMenu!=null?v:d).config.showMathMenu;if(!y||(k.context!=="MathJax"&&!u)){return}if(c.msieEventBug){r=window.event}m.ClearSelection();f.ClearHoverTimer();if(t.hover){if(t.hover.remove){clearTimeout(t.hover.remove);delete t.hover.remove}t.hover.nofade=true}var s=MathJax.Menu;if(s){s.jax=t;var q=s.menu.Find("Show Math As").menu;q.items[1].name=(j[t.inputJax].sourceMenuTitle||"Original Form");q.items[0].hidden=(t.inputJax==="Error");return s.menu.Post(r)}else{if(!l.loadingMathMenu){l.loadingMathMenu=true;var w={pageX:r.pageX,pageY:r.pageY,clientX:r.clientX,clientY:r.clientY};g.Queue(l.Require("[MathJax]/extensions/MathMenu.js"),function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}},["ContextMenu",this,w,x,u])}return m.False(r)}},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){if(k.context==="MathJax"){if(!c.noContextMenuBug||s.button!==m.RIGHTBUTTON){return}}else{if(!s[m.MENUKEY]||s.button!==m.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(u.isMathJax!=t.isMathJax||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return m.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var 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r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var 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r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){m.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents 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(function(a,d,f,c,j){var k="1.1.4";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(n){if(h.onresize){h.onresize(n)}var l=0,q=0,o,p=document.getElementById("MathJax_ZoomFrame"),m=document.getElementById("MathJax_ZoomOverlay");o=p;while(o.offsetParent){l+=o.offsetLeft;o=o.offsetParent}if(h.operaPositionBug){p.style.border="1px solid"}o=p;while(o.offsetParent){q+=o.offsetTop;o=o.offsetParent}if(h.operaPositionBug){p.style.border=""}m.style.left=(-l)+"px";m.style.top=(-q)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return{x:l,y:q}},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},Remove:function(m){var n=document.getElementById("MathJax_ZoomFrame");if(n){n.parentNode.removeChild(n);n=document.getElementById("MathJax_ZoomTracker");if(n){n.parentNode.removeChild(n)}if(h.operaRefreshBug){var l=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(l)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(m)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
(function(c,f,i,e,b){var n="1.1.9";MathJax.Extension.MathMenu={version:n};var l=c.Browser.isPC,j=c.Browser.isMSIE;var h=(l?null:"5px");var m=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",closeImg:i.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 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#CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":h,"-webkit-border-radius":h,"-moz-border-radius":h,"-khtml-border-radius":h,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(l?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(l?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(j?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(j?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(l?"1em":".7em")},".MathJax_MenuLabel":{padding:(l?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(l?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(l?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(l?"Highlight":"#606872"),color:(l?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var g,d;c.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:n,items:[],posted:false,title:null,margin:5,Init:function(o){this.items=[].slice.call(arguments,0)},With:function(o){if(o){c.Insert(this,o)}return this},Post:function(p,z){if(!p){p=window.event}var v=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var o=document.getElementById("MathJax_MenuFrame");if(!o){o=a.Background(this);delete k.lastItem;delete k.lastMenu;delete a.skipUp}var q=f.addElement(o,"div",{onmouseup:a.Mouseup,ondblclick:g,ondragstart:g,onselectstart:g,oncontextmenu:g,menuItem:this,className:"MathJax_Menu"},v);for(var s=0,r=this.items.length;s<r;s++){this.items[s].Create(q)}if(a.isMobile){f.addElement(q,"span",{className:"MathJax_Menu_Close",menu:z,ontouchstart:a.Close,ontouchend:g,onmousedown:a.Close,onmouseup:g},[["img",{src:m.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;q.style.width=(q.offsetWidth+2)+"px";var w=p.pageX,u=p.pageY;if(!w&&!u){w=p.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;u=p.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!z){if(w+q.offsetWidth>document.body.offsetWidth-this.margin){w=document.body.offsetWidth-q.offsetWidth-this.margin}if(a.isMobile){w=Math.max(5,w-Math.floor(q.offsetWidth/2));u-=20}a.skipUp=p.isContextMenu}else{var t="left",A=z.offsetWidth;w=(a.isMobile?30:A-2);u=0;while(z&&z!==o){w+=z.offsetLeft;u+=z.offsetTop;z=z.parentNode}if(w+q.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){t="right";w=Math.max(this.margin,w-A-q.offsetWidth+6)}if(!l){q.style["borderRadiusTop"+t]=0;q.style["WebkitBorderRadiusTop"+t]=0;q.style["MozBorderRadiusTop"+t]=0;q.style["KhtmlBorderRadiusTop"+t]=0}}q.style.left=w+"px";q.style.top=u+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return g(p)},Remove:function(o,p){var 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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m=(this.style||"").replace(/;\s*$/,"").split(";");m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});e.mlabeledtr.Augment({toNativeMML:function(p){var n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}});var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, 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/*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+k+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+k+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+k+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Caligraphic-Bold.otf')"}}}})}if(b.Browser.isChrome){e.math.Augment({toNativeMML:function(l){this.SUPER(arguments).toNativeMML.call(this,l);l.lastChild.setAttribute("xmlns",j.MMLnamespace)}})}e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true}});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);
(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",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,"white-space":"nowrap",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],0,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);d.Startup.signal.Post(["HTML-CSS Jax - web font error",e.fontInUse+"/"+i.directory,i])},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);d.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},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-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_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}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;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;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 j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(i){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return c.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts: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]}},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)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},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=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},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(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},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,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}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";m.style.overflow="hidden"}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;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){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=(m===1?this.Em(l+n):k+"px"),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,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}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,exactW:true},noAdjust:true,HH:o+p,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,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,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,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;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.initialSkipBug){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.initialSkipBug){m=n.w-n.rw-0.1;o+=n.lw}if(this.msieMarginScaleBug){o=(o*this.em)+"px"}else{o=this.Em(o)}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));var k=j.bbox;if(k){k.w=i;k.exactW=true}k=j.parentNode.bbox;if(k){k.w=i;k.exactW=true}}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]]}}}if(k.load){d.RestartAfter(c.Require(this.fontDir+"/fontdata-"+k.load+".js"))}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,exactW:true};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));if(!C.fillExtenders){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,exactW:true};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(o[4]){l*=o[4]}if(l!==1||o[3]){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(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||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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u=t.bbox.h+t.bbox.d,i=-t.bbox.d,o=0,m=0;if(l>0){l+=2*w;r-=w}if(u>0){u+=2*w;i-=w}p=-l-r;if(q){p-=q.right;i-=q.bottom;o+=q.left;m+=q.right;t.bbox.h+=q.top;t.bbox.d+=q.bottom;t.bbox.w+=q.left+q.right;t.bbox.lw-=q.left;t.bbox.rw+=q.right}if(s){u+=s.top+s.bottom;l+=s.left+s.right;p-=s.right;i-=s.bottom;o+=s.left;m+=s.right;t.bbox.h+=s.top;t.bbox.d+=s.bottom;t.bbox.w+=s.left+s.right;t.bbox.lw-=s.left;t.bbox.rw+=s.right}if(m){t.style.paddingRight=e.Em(m)}var k=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:v.mathbackground,width:e.Em(l),height:e.Em(u),verticalAlign:e.Em(i),marginLeft:e.Em(r),marginRight:e.Em(p)}});e.setBorders(k,q);if(t.bbox.width){k.style.width=t.bbox.width;k.style.marginRight="-"+t.bbox.width}if(e.msieInlineBlockAlignBug){k.style.position="relative";k.style.width=k.style.height=0;k.style.verticalAlign=k.style.marginLeft=k.style.marginRight="";k.style.border=k.style.padding="";if(q&&e.msieBorderWidthBug){u+=q.top+q.bottom;l+=q.left+q.right}k.style.width=e.Em(o+w);e.placeBox(e.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(v.mathbackground||"transparent"),width:e.Em(l),height:e.Em(u)}}),r,t.bbox.h+w);e.setBorders(k.firstChild,q)}t.parentNode.insertBefore(k,t);if(e.msieColorPositionBug){t.style.position="relative"}return k}return null},HTMLremoveColor:function(){var i=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(i){i.parentNode.removeChild(i)}},HTMLhandleSpace:function(m){if(this.useMMLspacing){if(this.type!=="mo"){return}var k=this.getValues("scriptlevel","lspace","rspace");if(k.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var j=this.HTMLgetMu(m);k.lspace=Math.max(0,e.length2em(k.lspace,j));k.rspace=Math.max(0,e.length2em(k.rspace,j));var i=this,l=this.Parent();while(l&&l.isEmbellished()&&l.Core()===i){i=l;l=l.Parent();m=i.HTMLspanElement()}if(k.lspace){m.style.paddingLeft=e.Em(k.lspace)}if(k.rspace){m.style.paddingRight=e.Em(k.rspace)}}}else{var n=this.texSpacing();if(n!==""){n=e.length2em(n,this.HTMLgetScale())/(m.scale||1);if(m.style.paddingLeft){n+=parseFloat(m.style.paddingLeft)}m.style.paddingLeft=e.Em(n)}}},HTMLgetScale:function(){var k=1,i=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var 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(this.Get("scriptminsize"));if(k<i.scriptminsize){k=i.scriptminsize}}k*=e.length2em(i.mathsize);return k},HTMLgetMu:function(k){var i=1,j=this.getValues("scriptlevel","scriptsizemultiplier");if(k.scale&&k.scale!==1){i=1/k.scale}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}i=Math.sqrt(Math.pow(j.scriptsizemultiplier,j.scriptlevel))}return i},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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z=e.FONTDATA.DELIMITERS[e.FONTDATA.RULECHAR];if(!z||m<z.HW[0][0]*n||n<0.75){e.createRule(r,y,0,m)}else{e.createDelimiter(r,e.FONTDATA.RULECHAR,m,n)}v=i.bbox.h+j+y;j=v*e.rfuzz;if(o.isMultiChar){j=e.rfuzz}s=this.HTMLaddRoot(w,o,s,o.bbox.h+o.bbox.d-v,n);e.placeBox(o,s,v-o.bbox.h);e.placeBox(r,s+o.bbox.w,v-r.bbox.h+j);e.placeBox(l,s+o.bbox.w,0);this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLaddRoot:function(k,j,i,m,l){return i}});a.mroot.Augment({toHTML:a.msqrt.prototype.toHTML,HTMLaddRoot:function(q,j,o,m,i){var k=e.createBox(q);if(this.data[1]){var 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 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p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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"+v[ad];q.style.height=0;q.style.width=q.style.borderLeftWidth;q.style.borderLeft="";if(aF){q.style.width="100%"}}}R-=o}if(aF){r.bbox.width=G.width;av.style.width="100%"}if(at[ay]){var ap=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ap.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ap.indentalign=ap.indentalignfirst}if(ap.indentalign===a.INDENTALIGN.AUTO){ap.indentalign=this.displayAlign}if(ap.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ap.indentshift=ap.indentshiftfirst}if(ap.indentshift==="auto"){ap.indentshift=this.displayIndent}var aI=b.createStack(r,false,"100%");b.addBox(aI,av);b.alignBox(av,ap.indentalign,0);if(ap.indentshift&&ap.indentalign!==a.INDENTALIGN.CENTER){av.style[{left:"Left",right:"Right"}[ap.indentalign]]=b.Em(b.length2em(ap.indentshift,ax))}at[ay].parentNode.parentNode.removeChild(at[ay].parentNode);b.addBox(aI,at[ay]);b.alignBox(at[ay],e[ay],0);if(b.msieRelativeWidthBug){av.style.top=at[ay].style.top=""}if(aF){av.style.width=G.width;r.bbox.width="100%"}at[ay].style.marginRight=at[ay].style.marginLeft=b.Em(b.length2em(G.minlabelspacing,ax))}if(!aF){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aF){if(!ag){ag=b.createFrame(av,g,0,aP,0,"none");b.addBox(av,ag);b.placeBox(ag,0,aO,true);ag.style.width="100%"}ag.style.backgroundColor=u.style.backgroundColor;ag.parentNode.insertBefore(ag,ag.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame){d.style.paddingLeft=d.style.paddingRight=".1667em"}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
MathJax.Ajax.loadComplete("[MathJax]/config/Accessible-full.js");
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