mirror of
https://gerrit.wikimedia.org/r/mediawiki/extensions/Math
synced 2024-11-27 00:42:56 +00:00
289 lines
174 KiB
JavaScript
289 lines
174 KiB
JavaScript
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/*
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* /MathJax/config/TeX-AMS-texvc_HTML.js
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*
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* Copyright (c) 2010-11 Design Science, Inc.
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*
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* wiki2jax.js and TeX/texvc.js also
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* Copyright (c) 2010-2011 http://en.wikipedia.org/User:Nageh
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*
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* Part of the MathJax library.
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* See http://www.mathjax.org for details.
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*
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* Licensed under the Apache License, Version 2.0;
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* you may not use this file except in compliance with the License.
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Various customized logic!
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* - custom conversion helpers
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* - some custom texvc commands ('texvc.js')
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* - heuristic detection of inline vs display maths (displays are in a <dd>) (ConvertMath())
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* - workaround for \scriptstyle / \scriptscriptstyle font-size hack used on Wikipedia
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* - partial hacks for \oiint an d\oiiint. (needs font fixes?)
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* - hack to support \color commands -> drop for MathJax 2.0 which has this natively?
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* - custom render settings (mathJax.js config?)
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* - support for user hooks -> find a way to generalize this for site JS too
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* - support for wikEd, ajaxPreview (mathJax.Init() in loader)
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* - conditional loading
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* - some misc
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*/
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MathJax.Ajax.Preloading(
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"[MathJax]/jax/input/TeX/config.js",
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"[MathJax]/jax/output/HTML-CSS/config.js",
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"[MathJax]/jax/element/mml/jax.js",
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"[MathJax]/extensions/TeX/noErrors.js",
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"[MathJax]/extensions/TeX/noUndefined.js",
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"[MathJax]/jax/input/TeX/jax.js",
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"[MathJax]/extensions/TeX/AMSmath.js",
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"[MathJax]/extensions/TeX/AMSsymbols.js",
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"[MathJax]/extensions/TeX/boldsymbol.js",
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"[MathJax]/extensions/TeX/mathchoice.js",
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"[MathJax]/jax/output/HTML-CSS/jax.js",
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"[MathJax]/jax/output/HTML-CSS/autoload/mtable.js",
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"[MathJax]/extensions/wiki2jax.js",
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"[MathJax]/extensions/TeX/texvc.js"
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);
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MathJax.Hub.Config({"v1.0-compatible":false});
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MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
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MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.4",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax.id==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
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MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"1.1.1",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.mode){if(!this.root.display&&this.root.mode==="display"){this.root.display="block"}delete this.root.mode}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},PLANE1:String.fromCharCode(55349)});(function(a){var d=false;var b=true;a.mbase=MathJax.Object.Subclass({type:"base",isToken:d,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT},noInherit:{},Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:b}))}this.Append.apply(this,arguments)},With:function(f){for(var g in f){if(f.hasOwnProperty(g)){this[g]=f[g]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var g=0,f=arguments.length;g<f;g++){this.SetData(this.data.length,arguments[g])}}},SetData:function(f,g){if(g!=null){if(!(g instanceof a.mbase)){g=(this.isToken?a.chars(g):a.mtext(g))}g.parent=this;g.setInherit(this.inheritFromMe?this:this.inherit)}this.data[f]=g},Parent:function(){var f=this.p
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(function(){var c="1.1";var a=MathJax.Hub.CombineConfig("TeX.noErrors",{multiLine:true,inlineDelimiters:["",""],style:{"font-family":"serif","font-size":"80%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var b="\u00A0";MathJax.Extension["TeX/noErrors"]={version:c,config:a};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Augment({formatError:function(f,e,g,d){var i=a.inlineDelimiters;var h=(g||a.multiLine);if(!g){e=i[0]+e+i[1]}if(h){e=e.replace(/ /g,b)}else{e=e.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(e).With({isError:true,multiLine:h})}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Config",function(){MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax .merror":MathJax.Hub.Insert({"font-style":null,"background-color":null,"vertical-align":(MathJax.Hub.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})})})();MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var b=MathJax.OutputJax["HTML-CSS"];var c=a.math.prototype.toHTML;a.math.Augment({toHTML:function(d,e){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toHTML(d)}return c.call(this,d,e)}});a.merror.Augment({toHTML:function(j){if(!this.isError){return a.mbase.prototype.toHTML.call(this,j)}j=this.HTMLcreateSpan(j);if(this.multiLine){j.style.display="inline-block"}var l=this.data[0].data[0].data.join("").split(/\n/);for(var g=0,e=l.length;g<e;g++){b.addText(j,l[g]);if(g!==e-1){b.addElement(j,"br")}}var n=b.getHD(j.parentNode),d=b.getW(j.parentNode);if(e>1){var k=(n.h+n.d)/2,h=b.TeX.x_height/2;var f=b.config.styles[".MathJax .merror"]["font-size"];if(f&&f.match(/%/)){h*=parseInt(f)/100}j.parentNode.style.verticalAlign=b.Em(n.d+(h-k));n.h=h+k;n.d=k-h}j.bbox={h:n.h,d:n.d,w:d,lw:0,rw:d};return j}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){var b=MathJax.ElementJax.mml;var a=MathJax.Extension["TeX/noErrors"].config;var c=b.math.prototype.toNativeMML;b.math.Augment({toNativeMML:function(d){if(this.data[0]&&this.data[0].data[0]&&this.data[0].data[0].isError){return this.data[0].data[0].toNativeMML(d)}return c.call(this,d)}});b.merror.Augment({toNativeMML:function(g){if(!this.isError){return b.mbase.prototype.toNativeMML.call(this,g)}g=g.appendChild(document.createElement("span"));var h=this.data[0].data[0].data.join("").split(/\n/);for(var f=0,e=h.length;f<e;f++){g.appendChild(document.createTextNode(h[f]));if(f!==e-1){g.appendChild(document.createElement("br"))}}if(this.multiLine){g.style.display="inline-block";if(e>1){g.style.verticalAlign="middle"}}for(var j in a.style){if(a.style.hasOwnProperty(j)){var d=j.replace(/-./g,function(i){return i.charAt(1).toUpperCase()});g.style[d]=a.style[j]}}return g}});MathJax.Hub.Startup.signal.Post("TeX noErrors Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
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MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
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(function(d){var c=true,f=false,i,h=String.fromCharCode(160);var e=MathJax.Object.Subclass({Init:function(k){this.global={};this.data=[b.start().With({global:this.global})];if(k){this.data[0].env=k}this.env=this.data[0].env},Push:function(){var l,k,n,o;for(l=0,k=arguments.length;l<k;l++){n=arguments[l];if(n instanceof i.mbase){n=b.mml(n)}n.global=this.global;o=(this.data.length?this.Top().checkItem(n):c);if(o instanceof Array){this.Pop();this.Push.apply(this,o)}else{if(o instanceof b){this.Pop();this.Push(o)}else{if(o){this.data.push(n);if(n.env){for(var p in this.env){if(this.env.hasOwnProperty(p)){n.env[p]=this.env[p]}}this.env=n.env}else{n.env=this.env}}}}}},Pop:function(){var k=this.data.pop();if(!k.isOpen){delete k.env}this.env=(this.data.length?this.Top().env:{});return k},Top:function(k){if(k==null){k=1}if(this.data.length<k){return null}return this.data[this.data.length-k]},Prev:function(k){var l=this.Top();if(k){return l.data[l.data.length-1]}else{return l.Pop()}},toString:function(){return"stack[\n "+this.data.join("\n ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",closeError:"Extra close brace or missing open brace",rightError:"Missing \\left or extra \\right",Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(k,l){if(k==null){k=c}if(this.data.length===1&&!l){return this.data[0]}return i.mrow.apply(i,this.data).With((k?{inferred:c}:{}))},checkItem:function(k){if(k.type==="over"&&this.isOpen){k.num=this.mmlData(f);this.data=[]}if(k.type==="cell"&&this.isOpen){d.Error("Misplaced "+k.name)}if(k.isClose&&this[k.type+"Error"]){d.Error(this[k.type+"Error"])}if(!k.isNotStack){return c}this.Push(k.data[0]);return f},With:function(k){for(var l in k){if(k.hasOwnProperty(l)){this[l]=k[l]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:c,checkItem:function(k){if(k.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,k)}});b.stop=b.Subclass({type:"stop",isClose:c});b.open=b.Subclass({type:"open",isOpen:c,stopError:"Extra open brace or missing close brace",checkItem:function(l){if(l.type==="close"){var k=this.mmlData();return b.mml(i.TeXAtom(k))}return this.SUPER(arguments).checkItem.call(this,l)}});b.close=b.Subclass({type:"close",isClose:c});b.subsup=b.Subclass({type:"subsup",stopError:"Missing superscript or subscript argument",checkItem:function(l){var k=["","subscript","superscript"][this.position];if(l.type==="open"||l.type==="left"){return c}if(l.type==="mml"){this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error("Missing open brace for "+k)}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:c,name:"\\over",checkItem:function(m,k){if(m.type==="over"){d.Error("Ambiguous use of "+m.name)}if(m.isClose){var l=i.mfrac(this.num,this.mmlData(f));if(this.thickness!=null){l.linethickness=this.thickness}if(this.open||this.close){l.texClass=i.TEXCLASS.INNER;l.texWithDelims=c;l=i.mfenced(l).With({open:this.open,close:this.close})}return[b.mml(l),m]}return this.SUPER(arguments).checkItem.call(this,m)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:c,delim:"(",stopError:"Extra \\left or missing \\right",checkItem:function(l){if(l.type==="right"){var k=i.mfenced(this.data.length===1?this.data[0]:i.mrow.apply(i,this.data));return b.mml(k.With({open:this.delim,close:l.delim}))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:c,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:c,checkItem:function(k){if(k.type==="end"){if(k.name!==this.name){d.Error("\\begin{"+this.name+"} ended with \\end{"+k.name+"}")}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(k.type==="stop"){d.Error("Missing \\end{"+this.n
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MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var e="1.1";var a=MathJax.ElementJax.mml;var f=MathJax.InputJax.TeX;var c=f.Definitions;var d=f.Stack.Item;var b=function(g){return g.join("em ")+"em"};MathJax.Hub.Insert(c,{macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",a.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",a.LENGTH.NEGATIVETHICKMATHSPACE],intI:["Macro","\\mathchoice{\\!}{}{}{}\\!\\!\\int"],iiiint:["MultiIntegral","\\int\\intI\\intI\\intI"],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}",1],ddddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}",1],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["Macro","\\mathop{\\rm inj\\,lim}"],projlim:["Macro","\\mathop{\\rm proj\\,lim}"],varliminf:["Macro","\\mathop{\\underline{\\rm lim}}"],varlimsup:["Macro","\\mathop{\\overline{\\rm lim}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",a.ALIGN.LEFT],shoveright:["HandleShove",a.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",b([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",b([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",b([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["Array",null,null,null,"rlrlrlrlrlrl",b([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["Array",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,b([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",b([1/3]),".2em","S",1]},delimiter:{"\\lvert":["2223",{texClass:a.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:a.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:a.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:a.TEXCLASS.CLOSE}]}});f.Parse.Augment({HandleTag:function(h){var g=this.trimSpaces(this.GetArgument(h));if(g==="*"){g=this.GetArgument(h)}else{g="("+g+")"}if(this.stack.global.notag){f.Error(h+" not allowed in "+this.stack.global.notag+" environment")}if(this.stack.global.tag){f.Error("Multiple "+h)}this.stack.global.tag=a.mtd.apply(a,this.InternalMath(g))},HandleNoTag:function(g){if(this.stack.global.tag){delete this.stack.global.tag}},HandleDeclareOp:function(h){var g="";var i=this.trimSpaces(this.GetArgument(h));if(i=="*"){g="\\limits";i=this.trimSpaces(this.GetArgument(h))}if(i.charAt(0)=="\\"){i=i.substr(1)}var j=this.GetArgument(h);j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");f.Definitions.macros[i]=["Macro","\\mathop{\\rm "+j+"}"+g]},HandleOperatorName:function(h){var g="\\nolimits";var i=this.trimSpaces(this.GetArgument(h));if(i=="*"){g="\\limits";i=this.trimSpaces(this.GetArgument(h))}i=i.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+i+"}"+g+" "+this.string.slice(this.i);this.i=0},HandleShove:function(h,g){var i=this.stack.Top();if(i.type!=="multline"||i.data.length){f.Error(h+" must come at the beginning of the line")}i.data.shove=g},CFrac:function(j){var g=this.trimSpaces(this.GetBracket
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MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b="1.1";var a=MathJax.ElementJax.mml;MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:"2248",subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288
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MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.0";var a=MathJax.ElementJax.mml;var e=MathJax.InputJax.TeX;var b=e.Definitions;var d={};d[a.VARIANT.NORMAL]=a.VARIANT.BOLD;d[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;d[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;d[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;d[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;d["-tex-caligraphic"]="-tex-caligraphic-bold";d["-tex-oldstyle"]="-tex-oldstyle-bold";b.macros.boldsymbol="Boldsymbol";e.Parse.Augment({mmlToken:function(g){if(this.stack.env.boldsymbol){var f=g.Get("mathvariant");if(f==null){g.mathvariant=a.VARIANT.BOLD}else{g.mathvariant=(d[f]||f)}}return g},Boldsymbol:function(i){var f=this.stack.env.boldsymbol,g=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var h=this.ParseArg(i);this.stack.env.font=g;this.stack.env.boldsymbol=f;this.Push(h)}})});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var c=a.FONTDATA.FONTS;var b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){c["MathJax_Caligraphic-bold"]="Caligraphic/Bold/Main.js";b["-tex-caligraphic-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],offsetA:65,variantA:"bold-italic"};b["-tex-oldstyle-bold"]={fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"]};if(a.msieCheckGreek&&a.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:a.msieCheckGreek})){b["bold-italic"].offsetG=913;b["bold-italic"].variantG="-Greek-Bold-Italic";b["-Greek-Bold-Italic"]={fonts:["MathJax_Greek-bold-italic"]};c["MathJax_Greek-bold-italic"]="Greek/BoldItalic/Main.js"}if(MathJax.Hub.Browser.isChrome&&!MathJax.Hub.Browser.versionAtLeast("5.0")){b["-tex-caligraphic-bold"].remap={84:[58096,"-WinChrome"]}}}else{if(a.fontInUse==="STIX"){b["-tex-caligraphic-bold"]={fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],offsetA:57927,noLowerCase:1};b["-tex-oldstyle-bold"]={fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}}}MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
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MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="1.0";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.macros.mathchoice="MathChoice";d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",choice:function(){var e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){return Math.min(3,e.scriptlevel+1)}return(e.displaystyle?0:1)},setTeXclass:function(e){return this.Core().setTeXclass(e)},isSpacelike:function(){return this.Core().isSpacelike()},isEmbellished:function(){return this.Core().isEmbellished()},Core:function(){return this.data[this.choice()]},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
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(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(j,g){if(g&&this.testCollection(g)){return g}for(var h=0,f=j.length;h<f;h++){if(j[h]===g){continue}if(this.testCollection(j[h])){return j[h]}}return null},testCollection:function(f){return this.testFont(this.FontInfo[f])},testFont:function(h){if(h.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(h.weight||"normal");this.div.style.fontStyle=(h.style||"normal")}var g=this.getComparisonWidths(h.testString,h.noStyleChar);if(g){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==g[0]){this.div.style.fontFamily="'"+h.family+"',"+this.comparisonFont[g[2]];if(this.div.offsetWidth==g[1]){return false}}if(this.div.offsetWidth!=g[3]){if(h.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var j=0,f=this.testSize.length;j<f;j++){if(this.testStyleChar(h,this.testSize[j])){return true}}}}return false},styleChar:String.fromCharCode(61437),versionChar:String.fromCharCode(61438),compChar:String.fromCharCode(61439),testStyleChar:function(h,j){var m=3+(h.weight?2:0)+(h.style?4:0);var g="",i=0;var l=this.div.style.fontSize;this.div.style.fontSize=j;if(e.msieItalicWidthBug&&h.style==="italic"){this.text.nodeValue=g=this.compChar;i=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+g}else{this.text.nodeValue=this.compChar+g}var f=this.div.offsetWidth-i;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+g}else{this.text.nodeValue=this.styleChar+g}var k=Math.floor((this.div.offsetWidth-i)/f+0.5);if(k===m){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+g}else{this.text.nodeValue=this.versionChar+g}h.version=Math.floor((this.div.offsetWidth-i)/f+1.5)/2}this.div.style.fontSize=l;return(k===m)},getComparisonWidths:function(j,h){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!h){j+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=j}else{this.text.nodeValue=j}this.div.style.fontFamily=this.comparisonFont[0];var g=this.div.offsetWidth,l=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];l=this.div.offsetWidth}for(var k=1,f=this.comparisonFont.length;k<f;k++){this.div.style.fontFamily=this.comparisonFont[k];if(this.div.offsetWidth!=g){return[g,this.div.offsetWidth,k,l]}}return null},loadWebFont:function(g){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+g.directory);var i=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+g.directory);var f=MathJax.Callback({});var h=MathJax.Callback(["loadComplete",this,g,i,f]);c.timer.start(c,[this.checkWebFont,g,h],1,this.timeout);return f},loadComplete:function(h,j,g,f){MathJax.Message.Clear(j);if(f===c.STATUS.OK){g();return}this.loadError(h);if(d.Browser.isFirefox&&e.allowWebFonts){var i=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){i+=":"+document.location.port}i+="/";if(c.fileURL(e.webfontDir).substr(0,i.length)!==i){this.firefoxFontError(h)}}e.loadWebFontError(h,g)},loadError:function(f){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+f.directory,null,2000)},firefoxFontError:function(f){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(f,g,h){if(f.time(h)){return}if(e.Font.testFont(g)){h(f.STATUS.OK)}else{setTimeout(f,f.delay)}},fontFace:function(h){var i=e.all
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MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(X){X=this.HTMLcreateSpan(X);if(this.data.length===0){return X}var aJ=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var r=aJ.width.match(/%$/);var ag=b.createStack(X);var am=this.HTMLgetScale();var aH=-1;var w=[],I=[],l=[],O=[],K=[],aF,aE,v=-1,aC,t,ay,R;var aL=b.FONTDATA.baselineskip*am*aJ.useHeight,Z=b.FONTDATA.lineH*am,af=b.FONTDATA.lineD*am;for(aF=0,aC=this.data.length;aF<aC;aF++){R=this.data[aF];ay=(R.type==="mlabeledtr"?aH:0);O[aF]=[];w[aF]=I[aF]=0;for(aE=ay,t=R.data.length+ay;aE<t;aE++){if(l[aE]==null){if(aE>v){v=aE}K[aE]=b.createStack(b.createBox(ag));l[aE]=-b.BIGDIMEN}O[aF][aE]=b.createBox(K[aE]);b.Measured(R.data[aE-ay].toHTML(O[aF][aE]),O[aF][aE]);if(R.data[aE-ay].isMultiline){O[aF][aE].style.width="100%"}if(O[aF][aE].bbox.h>w[aF]){w[aF]=O[aF][aE].bbox.h}if(O[aF][aE].bbox.d>I[aF]){I[aF]=O[aF][aE].bbox.d}if(O[aF][aE].bbox.w>l[aE]){l[aE]=O[aF][aE].bbox.w}}}if(w[0]+I[0]){w[0]=Math.max(w[0],Z)}if(w[O.length-1]+I[O.length-1]){I[O.length-1]=Math.max(I[O.length-1],af)}var al=aJ.columnspacing.split(/ /),S=aJ.rowspacing.split(/ /),ah=aJ.columnalign.split(/ /),L=aJ.rowalign.split(/ /),N=aJ.columnlines.split(/ /),k=aJ.rowlines.split(/ /),ap=aJ.columnwidth.split(/ /),au=[];for(aF=0,aC=al.length;aF<aC;aF++){al[aF]=b.length2em(al[aF])}for(aF=0,aC=S.length;aF<aC;aF++){S[aF]=b.length2em(S[aF])}while(al.length<v){al.push(al[al.length-1])}while(ah.length<=v){ah.push(ah[ah.length-1])}while(N.length<v){N.push(N[N.length-1])}while(ap.length<=v){ap.push(ap[ap.length-1])}while(S.length<O.length){S.push(S[S.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(k.length<O.length){k.push(k[k.length-1])}if(K[aH]){ah[aH]=(aJ.side.substr(0,1)==="l"?"left":"right");al[aH]=-l[aH]}for(aF=0,aC=O.length;aF<aC;aF++){R=this.data[aF];au[aF]=[];if(R.rowalign){L[aF]=R.rowalign}if(R.columnalign){au[aF]=R.columnalign.split(/ /);while(au[aF].length<=v){au[aF].push(au[aF][au[aF].length-1])}}}var az=w[0]+I[O.length-1];for(aF=0,aC=O.length-1;aF<aC;aF++){az+=Math.max((w[aF]+I[aF]?aL:0),I[aF]+w[aF+1]+S[aF])}var ac=0,aa=0,aA,aI=az;if(aJ.frame!=="none"||(aJ.columnlines+aJ.rowlines).match(/solid|dashed/)){ac=b.length2em(aJ.framespacing.split(/[, ]+/)[0]);aa=b.length2em(aJ.framespacing.split(/[, ]+/)[1]);aI=az+2*aa}var h,ax;if(String(aJ.align).match(/^\d+$/)){h=az/2+b.TeX.axis_height*am-w[0];ax=-(az/2+aa)}else{h=({top:-(w[0]+aa),bottom:az+aa-w[0],center:az/2-w[0],baseline:az/2-w[0],axis:az/2+b.TeX.axis_height*am-w[0]})[aJ.align];ax=({top:-(az+2*aa),bottom:0,center:-(az/2+aa),baseline:-(az/2+aa),axis:b.TeX.axis_height*am-az/2-aa})[aJ.align]}var aq,aw=0,U=0,V=0,aB=0,aG=0,o=[],B=[],ai=1;if(aJ.equalcolumns&&aJ.width!=="auto"){if(r){aq=(100/(v+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(aF=0,aC=Math.min(v+1,ap.length);aF<aC;aF++){ap[aF]=aq}aq=0;aw=1;aG=v+1;for(aF=0,aC=Math.min(v+1,al.length);aF<aC;aF++){aq+=al[aF]}}else{aq=b.length2em(aJ.width);for(aF=0,aC=Math.min(v+1,al.length);aF<aC;aF++){aq-=al[aF]}aq/=v+1;for(aF=0,aC=Math.min(v+1,ap.length);aF<aC;aF++){l[aF]=aq}}}else{for(aF=0,aC=Math.min(v+1,ap.length);aF<aC;aF++){if(ap[aF]==="auto"){U+=l[aF]}else{if(ap[aF]==="fit"){B[aG]=aF;aG++;U+=l[aF]}else{if(ap[aF].match(/%$/)){o[aB]=aF;aB++;V+=l[aF];aw+=b.length2em(ap[aF],1)}else{l[aF]=b.length2em(ap[aF]);U+=l[aF]}}}}if(r){aq=0;for(aF=0,aC=Math.min(v,al.length);aF<aC;aF++){aq+=al[aF]}if(aw>0.98){ai=0.98/aw;aw=0.98}}else{if(aJ.width==="auto"){if(aw>0.98){ai=V/(U+V);aq=U+V}else{aq=U/(1-aw)}}else{aq=b.length2em(aJ.width);for(aF=0,aC=Math.min(v+1,al.length);aF<aC;aF++){aq-=al[aF]}}for(aF=0,aC=o.length;aF<aC;aF++){l[o[aF]]=b.length2em(ap[o[aF]],aq*ai);U+=l[o[aF]]}if(Math.abs(aq-U)>0.01){if(aG&&aq>U){aq=(aq-U)/aG;for(aF=0,aC=B.length;aF<aC;aF++){l[B[aF]]+=aq}}else{aq=aq/U;for(aE=0;aE<=v;aE++){l[aE]*=aq}}}if(aJ.equalcolumns){var ad=Mat
|
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MathJax.Extension.wiki2jax = {
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||
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version: "1.0",
|
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||
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config: {
|
||
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|
element: null, // The ID of the element to be processed
|
||
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|
// (defaults to full document)
|
||
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||
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preview: "TeX" // Set to "none" to prevent preview strings from being inserted
|
||
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// or to an array that specifies an HTML snippet to use for
|
||
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// the preview.
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||
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},
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||
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PreProcess: function (element) {
|
||
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if (!this.configured) {
|
||
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MathJax.Hub.Insert(this.config,(MathJax.Hub.config.wiki2jax||{}));
|
||
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if (this.config.Augment) {MathJax.Hub.Insert(this,this.config.Augment)}
|
||
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if (typeof(this.config.previewTeX) !== "undefined" && !this.config.previewTeX)
|
||
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|
{this.config.preview = "none"} // backward compatibility for previewTeX parameter
|
||
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this.previewClass = MathJax.Hub.config.preRemoveClass;
|
||
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|
this.configured = true;
|
||
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|
}
|
||
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var span, i;
|
||
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|
if ((!element || element == document.body) && mathJax.span) { // dirty hack
|
||
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span = mathJax.span;
|
||
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|
i = mathJax.spanIndex;
|
||
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|
}
|
||
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else {
|
||
|
|
if (typeof(element) === "string") {element = document.getElementById(element)}
|
||
|
|
if (!element) {element = this.config.element || document.body}
|
||
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|
span = element.getElementsByTagName("span");
|
||
|
|
i = span.length-1;
|
||
|
|
}
|
||
|
|
for (; i >= 0; i--)
|
||
|
|
if (span[i].className === "tex") this.ConvertMath(span[i])
|
||
|
|
},
|
||
|
|
|
||
|
|
ConvertMath: function (node) {
|
||
|
|
var parent = node.parentNode,
|
||
|
|
mode = parent.tagName === "DD" && parent.firstChild === parent.lastChild ? "; mode=display" : "",
|
||
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|
tex = node.innerHTML.substring(node.innerHTML[0]=='$',node.innerHTML.length-(node.innerHTML[node.innerHTML.length-1]=='$'));
|
||
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|
||
|
|
tex = tex.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&").replace(/ /g," ");
|
||
|
|
tex = tex.replace(/\\iiint([^!]*)!\\!\\!\\!\\!.*\\subset\\!\\supset/g,"\\iiint$1mkern-2.5em\\subset\\!\\supset").replace(/\\iint([^!]*)!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!(.*)\\subset\\!\\supset/g,"\\iint$1mkern-1.65em$2\\subset\\!\\!\\supset").replace(/\\int\\!\\!\\!(\\!)+\\int\\!\\!\\!(\\!)+\\int([^!]*)!\\!\\!\\!\\!.*\\bigcirc(\\,)*/g,"\\iiint$3mkern-2.5em\\subset\\!\\supset").replace(/\\int\\!\\!\\!(\\!)+\\int([^!]*)!\\!\\!\\!\\!\\!\\!\\!\\!(.*)\\bigcirc(\\,)*/g,"\\iint$2mkern-1.65em$3\\subset\\!\\!\\supset");
|
||
|
|
if (mode === "") {
|
||
|
|
tex = tex.replace(/ *\\scriptstyle(\W)/g,"\\textstyle$1").replace(/ *\\scriptscriptstyle(\W)/g,"\\scriptstyle$1");
|
||
|
|
if (parent.firstChild === node) tex = "\\displaystyle "+tex;
|
||
|
|
}
|
||
|
|
|
||
|
|
var i;
|
||
|
|
while ((i = tex.search(/\\color{/)) != -1) {
|
||
|
|
var braces = 0;
|
||
|
|
for (i += 6; i < tex.length; i++) {
|
||
|
|
if (tex[i] == '{') braces++;
|
||
|
|
else if (tex[i] == '}') {
|
||
|
|
if (braces-- == 0)
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
tex = (tex.substring(0, i) + "}" + tex.substring(i, tex.length)).replace(/\\color{(\w*)}/, "\\textcolor{$1}{");
|
||
|
|
}
|
||
|
|
|
||
|
|
var script = document.createElement("script");
|
||
|
|
script.type = "math/tex" + mode;
|
||
|
|
if (MathJax.Hub.Browser.isMSIE) {script.text = tex}
|
||
|
|
else {script.appendChild(document.createTextNode(tex))}
|
||
|
|
|
||
|
|
if (node.nextSibling) {parent.insertBefore(script,node.nextSibling)}
|
||
|
|
else {parent.appendChild(script)}
|
||
|
|
if (this.config.preview !== "none") {this.createPreview(node)}
|
||
|
|
parent.removeChild(node);
|
||
|
|
},
|
||
|
|
|
||
|
|
createPreview: function (node) {
|
||
|
|
var preview;
|
||
|
|
if (this.config.preview === "TeX") {preview = [this.filterTeX(node.innerHTML)]}
|
||
|
|
else if (this.config.preview instanceof Array) {preview = this.config.preview}
|
||
|
|
if (preview) {
|
||
|
|
preview = MathJax.HTML.Element("span",{className: MathJax.Hub.config.preRemoveClass},preview);
|
||
|
|
node.parentNode.insertBefore(preview,node);
|
||
|
|
}
|
||
|
|
},
|
||
|
|
|
||
|
|
filterTeX: function (tex) {return tex}
|
||
|
|
|
||
|
|
};
|
||
|
|
|
||
|
|
MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.wiki2jax]);
|
||
|
|
MathJax.Ajax.loadComplete("[MathJax]/extensions/wiki2jax.js");
|
||
|
|
|
||
|
|
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
|
||
|
|
var VERSION = "1.0";
|
||
|
|
|
||
|
|
var MML = MathJax.ElementJax.mml;
|
||
|
|
|
||
|
|
MathJax.Hub.Insert(MathJax.InputJax.TeX.Definitions,{
|
||
|
|
|
||
|
|
mathchar0mi: {
|
||
|
|
// Lowercase Greek letters
|
||
|
|
thetasym: '03B8', // theta
|
||
|
|
koppa: '03DF',
|
||
|
|
stigma: '03DB',
|
||
|
|
coppa: '03D9', // archaic koppa
|
||
|
|
|
||
|
|
// Ord symbols
|
||
|
|
C: ['0043',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
cnums: ['0043',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
Complex: ['0043',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
N: ['004E',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
natnums: ['004E',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
R: ['0052',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
reals: ['0052',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
Reals: ['0052',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
Z: ['005A',{mathvariant: MML.VARIANT.DOUBLESTRUCK}],
|
||
|
|
sect: '00A7', // S
|
||
|
|
P: '00B6',
|
||
|
|
alef: ['2135',{mathvariant: MML.VARIANT.NORMAL}], // aleph
|
||
|
|
alefsym: ['2135',{mathvariant: MML.VARIANT.NORMAL}], // aleph
|
||
|
|
weierp: ['2118',{mathvariant: MML.VARIANT.NORMAL}], // wp
|
||
|
|
real: ['211C',{mathvariant: MML.VARIANT.NORMAL}], // Re
|
||
|
|
part: ['2202',{mathvariant: MML.VARIANT.NORMAL}], // partial
|
||
|
|
infin: ['221E',{mathvariant: MML.VARIANT.NORMAL}], // infty
|
||
|
|
empty: ['2205',{mathvariant: MML.VARIANT.NORMAL}], // emptyset
|
||
|
|
O: ['2205',{mathvariant: MML.VARIANT.NORMAL}], // emptyset (but should probably be Swedish O)
|
||
|
|
ang: ['2220',{mathvariant: MML.VARIANT.NORMAL}], // angle
|
||
|
|
exist: ['2203',{mathvariant: MML.VARIANT.NORMAL}], // exists
|
||
|
|
clubs: ['2663',{mathvariant: MML.VARIANT.NORMAL}], // clubsuit
|
||
|
|
diamonds: ['2662',{mathvariant: MML.VARIANT.NORMAL}], // diamondsuit
|
||
|
|
hearts: ['2661',{mathvariant: MML.VARIANT.NORMAL}], // heartsuit
|
||
|
|
spades: ['2660',{mathvariant: MML.VARIANT.NORMAL}], // spadesuit
|
||
|
|
textvisiblespace: '2423'
|
||
|
|
},
|
||
|
|
|
||
|
|
mathchar0mo: {
|
||
|
|
// Binary operators
|
||
|
|
and: '2227', // land
|
||
|
|
or: '2228', // lor
|
||
|
|
bull: '2219', // bullet
|
||
|
|
plusmn: '00B1', // pm
|
||
|
|
sdot: '22C5', // cdot
|
||
|
|
|
||
|
|
// Binary relations
|
||
|
|
sup: '2283', // supset
|
||
|
|
sub: '2282', // subset
|
||
|
|
supe: '2287', // supseteq
|
||
|
|
sube: '2286', // subseteq
|
||
|
|
isin: '2208', // in
|
||
|
|
|
||
|
|
hAar: '21D4', // Leftrightarrow [sic]
|
||
|
|
hArr: '21D4', // Leftrightarrow
|
||
|
|
Harr: '21D4', // Leftrightarrow
|
||
|
|
Lrarr: '21D4', // Leftrightarrow
|
||
|
|
lrArr: '21D4', // Leftrightarrow
|
||
|
|
lArr: '21D0', // Leftarrow
|
||
|
|
Larr: '21D0', // Leftarrow
|
||
|
|
rArr: '21D2', // Rightarrow
|
||
|
|
Rarr: '21D2', // Rightarrow
|
||
|
|
harr: '2194', // leftrightarrow
|
||
|
|
lrarr: '2194', // leftrightarrow
|
||
|
|
larr: '2190', // leftarrow
|
||
|
|
gets: '2190', // leftarrow
|
||
|
|
rarr: '2192', // rightarrow
|
||
|
|
|
||
|
|
// big ops
|
||
|
|
oiint: ['222F',{texClass: MML.TEXCLASS.OP}], // not part of texvc but nice to have
|
||
|
|
oiiint: ['2230',{texClass: MML.TEXCLASS.OP}]
|
||
|
|
},
|
||
|
|
|
||
|
|
mathchar7: {
|
||
|
|
// Uppercase Greek letters
|
||
|
|
Alpha: '0391',
|
||
|
|
Beta: '0392',
|
||
|
|
Epsilon: '0395',
|
||
|
|
Zeta: '0396',
|
||
|
|
Eta: '0397',
|
||
|
|
Iota: '0399',
|
||
|
|
Kappa: '039A',
|
||
|
|
Mu: '039C',
|
||
|
|
Nu: '039D',
|
||
|
|
Omicron: '039F',
|
||
|
|
Rho: '03A1',
|
||
|
|
Tau: '03A4',
|
||
|
|
Chi: '03A7',
|
||
|
|
|
||
|
|
Koppa: '03DE',
|
||
|
|
Stigma: '03DA',
|
||
|
|
Coppa: '03D8', // archaic Koppa
|
||
|
|
},
|
||
|
|
|
||
|
|
delimiter: {
|
||
|
|
'\\uarr': '2191', // uparrow
|
||
|
|
'\\darr': '2193', // downarrow
|
||
|
|
'\\Uarr': '21D1', // Uparrow
|
||
|
|
'\\uArr': '21D1', // Uparrow
|
||
|
|
'\\Darr': '21D3', // Downarrow
|
||
|
|
'\\dArr': '21D3', // Downarrow
|
||
|
|
'\\rang': '27E9', // rangle
|
||
|
|
'\\lang': '27E8' // langle
|
||
|
|
},
|
||
|
|
|
||
|
|
macros: {
|
||
|
|
sgn: ['NamedOp',0],
|
||
|
|
textcolor: ['Macro','\\color{#1}',1],
|
||
|
|
bold: ['Macro','{\\boldsymbol #1}',1] // boldsymbol
|
||
|
|
}
|
||
|
|
|
||
|
|
});
|
||
|
|
});
|
||
|
|
|
||
|
|
MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
|
||
|
|
MathJax.Hub.Startup.signal.Post("TeX texvc Ready");
|
||
|
|
});
|
||
|
|
|
||
|
|
MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/texvc.js");
|
||
|
|
|
||
|
|
MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-texvc_HTML.js");
|