/*
* /MathJax/config/TeX-MML-AM_HTMLorMML-full.js
*
* Copyright (c) 2010-2018 The MathJax Consortium
*
* 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/input/AsciiMath/config.js",
"[MathJax]/jax/output/HTML-CSS/config.js",
"[MathJax]/jax/output/NativeMML/config.js",
"[MathJax]/jax/output/PreviewHTML/config.js",
"[MathJax]/config/MMLorHTML.js",
"[MathJax]/extensions/tex2jax.js",
"[MathJax]/extensions/mml2jax.js",
"[MathJax]/extensions/asciimath2jax.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/input/AsciiMath/jax.js",
"[MathJax]/jax/output/NativeMML/jax.js",
"[MathJax]/jax/output/HTML-CSS/jax.js",
"[MathJax]/jax/output/HTML-CSS/autoload/mtable.js",
"[MathJax]/jax/output/PreviewHTML/jax.js",
"[MathJax]/extensions/fast-preview.js",
"[MathJax]/extensions/AssistiveMML.js",
"[MathJax]/extensions/a11y/accessibility-menu.js"
);
MathJax.Hub.Config({
extensions: ['[a11y]/accessibility-menu.js']
});
MathJax.InputJax.TeX=MathJax.InputJax({id:“TeX”,version:“2.7.5”,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-”+String(a).replace(/s/g,“_”)},formatURL:function(b,a){return a+“#”+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register(“math/tex”);MathJax.InputJax.TeX.loadComplete(“config.js”); MathJax.InputJax.MathML=MathJax.InputJax({id:“MathML”,version:“2.7.5”,directory:MathJax.InputJax.directory+“/MathML”,extensionDir:MathJax.InputJax.extensionDir+“/MathML”,entityDir:MathJax.InputJax.directory+“/MathML/entities”,config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register(“math/mml”);MathJax.InputJax.MathML.loadComplete(“config.js”); MathJax.InputJax.AsciiMath=MathJax.InputJax({id:“AsciiMath”,version:“2.7.5”,directory:MathJax.InputJax.directory+“/AsciiMath”,extensionDir:MathJax.InputJax.extensionDir+“/AsciiMath”,config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:“.”}});MathJax.InputJax.AsciiMath.Register(“math/asciimath”);MathJax.InputJax.AsciiMath.loadComplete(“config.js”); MathJax.OutputJax[“HTML-CSS”]=MathJax.OutputJax({id:“HTML-CSS”,version:“2.7.5”,directory:MathJax.OutputJax.directory+“/HTML-CSS”,extensionDir:MathJax.OutputJax.extensionDir+“/HTML-CSS”,autoloadDir:MathJax.OutputJax.directory+“/HTML-CSS/autoload”,fontDir:MathJax.OutputJax.directory+“/HTML-CSS/fonts”,webfontDir:MathJax.OutputJax.fontDir+“/HTML-CSS”,config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:[“STIX”,“TeX”],preferredFont:“TeX”,webFont:“TeX”,imageFont:“TeX”,undefinedFamily:“STIXGeneral,‘Arial Unicode MS’,serif”,mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay: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 .MJX-monospace”:{“font-family”:“monospace”},“.MathJax .MJX-sans-serif”:{“font-family”:“sans-serif”},“#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”,“z-index”:401}}}});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+$/,“”)+j[1]]}}for(var g=0,d=k.length;gb.processClass“)( |$)”);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:(da[1]“}”,mode:“; mode=display”,pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,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,pcount:0,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,“\”),“$”];g=0}c=MathJax.HTML.Element(“span”,null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath©;this.switchPattern(this.start)}}else{if(a[0]===“{”){b.pcount++}else{if(a[0]===“}”&&b.pcount){b.pcount–}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,“”)}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName===“#comment”){d.nodeValue+=c.nodeValue.replace(/^[CDATA[((.|n|r)*)]]$/,“$1”)}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?“ ”:h)}d.parentNode.removeChild©}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!==“none”){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c===“none”){return}if((this.search.close.previousSibling||{}).className===b){return}if(c===“TeX”){c=[this.filterPreview(a)]}if©{c=MathJax.HTML.Element(“span”,{className:b},c);this.insertNode©}},createMathTag:function(c,b){var a=document.createElement(“script”);a.type=“math/tex”+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor([“PreProcess”,MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete(“[MathJax]/extensions/tex2jax.js”); MathJax.Extension.mml2jax={version:“2.7.5”,config:{preview:“mathml”},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}var h=[];this.PushMathElements(h,e,“math”);this.PushMathElements(h,e,“math”,this.MMLnamespace);var d,b;if(typeof(document.namespaces)!==“undefined”){try{for(d=0,b=document.namespaces.length;d/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;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}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+“”;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=“”}});a.xml.Augment({toMathML:function(d){return(d||“”)+this.toString()}});MathJax.Hub.Register.StartupHook(“TeX mathchoice Ready”,function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post(“toMathML Ready”)});MathJax.Ajax.loadComplete(“[MathJax]/extensions/toMathML.js”); (function(b,e){var d=“2.7.5”;var a=b.CombineConfig(“TeX.noErrors”,{disabled:false,multiLine:true,inlineDelimiters:[“”,“”],style:{“font-size”:“90%”,“text-align”:“left”,color:“black”,padding:“1px 3px”,border:“1px solid”}});var c=“u00A0”;MathJax.Extension[“TeX/noErrors”]={version:d,config:a};b.Register.StartupHook(“TeX Jax Ready”,function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/n.*/,“”);b.signal.Post([“TeX Jax - parse error”,h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/n/g,“ ”)}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook(“HTML-CSS Jax Config”,function(){b.Config({“HTML-CSS”:{styles:{“.MathJax .noError”:b.Insert({“vertical-align”:(b.Browser.isMSIE&&a.multiLine?“-2px”:“”)},a.style)}}})});b.Register.StartupHook(“HTML-CSS Jax Ready”,function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax[“HTML-CSS”];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize=“”;j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className=“noError”;if(this.multiLine){p.style.display=“inline-block”}var r=this.data[0].data[0].data.join(“”).split(/n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook(“SVG Jax Config”,function(){b.Config({SVG:{styles:{“.MathJax_SVG .noError”:b.Insert({“vertical-align”:(b.Browser.isMSIE&&a.multiLine?“-2px”:“”)},a.style)}}})});b.Register.StartupHook(“SVG Jax Ready”,function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!==“math”){return h.apply(this,arguments)}n=e.addElement(n,“span”,{className:“noError”,isMathJax:true});if(this.multiLine){n.style.display=“inline-block”}var o=this.data[0].data[0].data.join(“”).split(/n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+“px”}return n}})});b.Register.StartupHook(“NativeMML Jax Ready”,function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension[“TeX/noErrors”].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement(“span”));var o=this.data[0].data[0].data.join(“”).split(/n/);for(var l=0,k=o.length;l1){n.style.verticalAlign=“middle”}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook(“PreviewHTML Jax Config”,function(){b.Config({PreviewHTML:{styles:{“.MathJax_PHTML .noError”:b.Insert({“vertical-align”:(b.Browser.isMSIE&&a.multiLine?“-2px”:“”)},a.style)}}})});b.Register.StartupHook(“PreviewHTML Jax Ready”,function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className=“noError”;if(this.multiLine){l.style.display=“inline-block”}var n=this.data[0].data[0].data.join(“”).split(/n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post(“TeX noErrors Ready”)})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete(“[MathJax]/extensions/TeX/noErrors.js”); MathJax.Extension[“TeX/noUndefined”]={version:“2.7.5”,config:MathJax.Hub.CombineConfig(“TeX.noUndefined”,{disabled:false,attributes:{mathcolor:“red”}})};MathJax.Hub.Register.StartupHook(“TeX Jax Ready”,function(){var b=MathJax.Extension[“TeX/noUndefined”].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post([“TeX Jax - undefined control sequence”,d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post(“TeX noUndefined Ready”)});MathJax.Ajax.loadComplete(“[MathJax]/extensions/TeX/noUndefined.js”); (function(d,c,j){var i,h=“u00A0”;var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[[“TeX”,m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;othis.num“ / ”+this.data.join(“; ”)+“]”}});b.left=b.Subclass({type:“left”,isOpen:true,delim:“(”,stopError:[“ExtraLeftMissingRight”,“Extra \left or missing \right”],checkItem:function(m){if(m.type===“right”){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:“right”,isClose:true,delim:“)”});b.begin=b.Subclass({type:“begin”,isOpen:true,checkItem:function(m){if(m.type===“end”){if(m.name!==this.name){d.Error([“EnvBadEnd”,“\begin{%1} ended with \end{%2}”,this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type===“stop”){d.Error([“EnvMissingEnd”,“Missing \end{%1}”,this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:“end”,isClose:true});b.style=b.Subclass({type:“style”,checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:“position”,checkItem:function(n){if(n.isClose){d.Error([“MissingBoxFor”,“Missing box for %1”,this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case“vertical”:m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case“horizontal”:return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:“array”,isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!==“over”){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?“dashed”:“solid”)}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( 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