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TeX-AMS_HTML.js

TeX-AMS_HTML.js 157 KB
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  1. /*
    2. 

  2.  *  /MathJax/config/TeX-AMS_HTML.js
    3. 

  3.  *  
    4. 

  4.  *  Copyright (c) 2010-2013 The MathJax Consortium
    5. 

  5.  *
    6. 

  6.  *  Part of the MathJax library.
    7. 

  7.  *  See http://www.mathjax.org for details.
    8. 

  8.  * 
    9. 

  9.  *  Licensed under the Apache License, Version 2.0;
    10. 

  10.  *  you may not use this file except in compliance with the License.
    11. 

  11.  *
    12. 

  12.  *      http://www.apache.org/licenses/LICENSE-2.0
    13. 

  13.  */MathJax.Ajax.Preloading("[MathJax]/jax/input/TeX/config.js","[MathJax]/jax/output/HTML-CSS/config.js","[MathJax]/extensions/tex2jax.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.Hub.Config({"v1.0-compatible":!1});MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.2.1",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(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:!0}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.2",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:!1,EqnChunk:MathJax.Hub.Browser.isMobile?10:50,EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:!1,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_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\x3d2, OffY\x3d2, Color\x3d'gray', Positive\x3d'true')",padding:"3px 4px","z-index":401}}}});MathJax.Hub.Browser.isMSIE&&9<=document.documentMode&&delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter;MathJax.Hub.config.delayJaxRegistration||MathJax.OutputJax["HTML-CSS"].Register("jax/mml");MathJax.Hub.Register.StartupHook("End Config",[function(a,e){var b=a.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:!0,minBrowserTranslate:function(c){var e=a.getJaxFor(c),n=["[Math]"],f=document.createElement("span",{className:"MathJax_Preview"});"TeX"===e.inputJax&&(e.root.Get("displaystyle")?(n=b.displayMathDelimiters,n=[n[0]+e.originalText+n[1]],b.multilineDisplay&&(n=n[0].split(/\n/))):(n=b.inlineMathDelimiters,n=[n[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+n[1]]));for(var e=0,h=n.length;e<h;e++)f.appendChild(document.createTextNode(n[e])),e<h-1&&f.appendChild(document.createElement("br"));c.parentNode.insertBefore(f,c)}},a.config["HTML-CSS"]||{});"0.0"===a.Browser.version||a.Browser.versionAtLeast(b.minBrowserVersion[a.Browser]||0)||(e.Translate=b.minBrowserTranslate,a.Config({showProcessingMessages:!1}),MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4E3),a.Startup.signal.Post("MathJax not supported"))},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");MathJax.Extension.tex2jax={version:"2.2",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:!0,skipTags:"script noscript style textarea pre code".split(" "),ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:!1,processEnvironments:!0,processRefs:!0,preview:"TeX"},PreProcess:function(a){this.configured||(this.config=MathJax.Hub.CombineConfig("tex2jax",this.config),this.config.Augment&&MathJax.Hub.Insert(this,this.config.Augment),"undefined"===typeof this.config.previewTeX||this.config.previewTeX||(this.config.preview="none"),this.configured=!0);"string"===typeof a&&(a=document.getElementById(a));a||(a=document.body);this.createPatterns()&&this.scanElement(a,a.nextSibling)},createPatterns:function(){var a=[],e=[],b,c,m=this.config;this.match={};b=0;for(c=m.inlineMath.length;b<c;b++)a.push(this.patternQuote(m.inlineMath[b][0])),this.match[m.inlineMath[b][0]]={mode:"",end:m.inlineMath[b][1],pattern:this.endPattern(m.inlineMath[b][1])};b=0;for(c=m.displayMath.length;b<c;b++)a.push(this.patternQuote(m.displayMath[b][0])),this.match[m.displayMath[b][0]]={mode:"; mode\x3ddisplay",end:m.displayMath[b][1],pattern:this.endPattern(m.displayMath[b][1])};a.length&&e.push(a.sort(this.sortLength).join("|"));m.processEnvironments&&e.push("\\\\begin\\{([^}]*)\\}");m.processEscapes&&e.push("\\\\*\\\\\\$");m.processRefs&&e.push("\\\\(eq)?ref\\{[^}]*\\}");this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+m.skipTags.join("|")+")$","i");a=[];MathJax.Hub.config.preRemoveClass&&a.push(MathJax.Hub.config.preRemoveClass);m.ignoreClass&&a.push(m.ignoreClass);this.ignoreClass=a.length?new RegExp("(^| )("+a.join("|")+")( |$)"):/^$/;this.processClass=new RegExp("(^| )("+m.processClass+")( |$)");return 0<e.length},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(a,e){return a.length!==e.length?e.length-a.length:a==e?0:a<e?-1:1},scanElement:function(a,e,b){for(var c,m,n;a&&a!=e;)"#text"===a.nodeName.toLowerCase()?b||(a=this.scanText(a)):(c="undefined"===typeof a.className?"":a.className,m="undefined"===typeof a.tagName?"":a.tagName,"string"!==typeof c&&(c=String(c)),n=this.processClass.exec(c),!a.firstChild||c.match(/(^| )MathJax/)||!n&&this.skipTags.exec(m)||(c=(b||this.ignoreClass.exec(c))&&!n,this.scanElement(a.firstChild,e,c))),a&&(a=a.nextSibling)},scanText:function(a){if(""==a.nodeValue.replace(/\s+/,""))return a;var e,b;this.search={start:!0};for(this.pattern=this.start;a;){for(this.pattern.lastIndex=0;a&&"#text"===a.nodeName.toLowerCase()&&(e=this.pattern.exec(a.nodeValue));)a=this.search.start?this.startMatch(e,a):this.endMatch(e,a);this.search.matched&&(a=this.encloseMath(a));if(a){do b=a,a=a.nextSibling;while(a&&("br"===a.nodeName.toLowerCase()||"#comment"===a.nodeName.toLowerCase()));if(!a||"#text"!==a.nodeName)return this.search.close?this.prevEndMatch():b}}return a},startMatch:function(a,e){var b=this.match[a[0]];if(null!=b)this.search={end:b.end,mode:b.mode,pcount:0,open:e,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length},this.switchPattern(b.pattern);else if("\\begin"===a[0].substr(0,6))this.search={end:"\\end{"+a[1]+"}",mode:"; mode\x3ddisplay",pcount:0,open:e,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:!0},this.switchPattern(this.endPattern(this.search.end));else{if("\\ref"===a[0].substr(0,4)||"\\eqref"===a[0].substr(0,6))return this.search={mode:"",end:"",open:e,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length},this.endMatch([""],e);var b=a[0].substr(0,a[0].length-1),c;0===b.length%2?(c=[b.replace(/\\\\/g,"\\")],b=1):(c=[b.substr(1).replace(/\\\\/g,"\\"),"$"],b=0);c=MathJax.HTML.Element("span",null,c);var m=MathJax.HTML.TextNode(e.nodeValue.substr(0,a.index));e.nodeValue=e.nodeValue.substr(a.index+a[0].length-b);e.parentNode.insertBefore(c,e);e.parentNode.insertBefore(m,c);this.pattern.lastIndex=b}return e},endMatch:function(a,e){var b=this.search;a[0]==b.end?(b.close&&0!==b.pcount||(b.close=e,b.cpos=this.pattern.lastIndex,b.clen=b.isBeginEnd?0:a[0].length),0===b.pcount&&(b.matched=!0,e=this.encloseMath(e),this.switchPattern(this.start))):"{"===a[0]?b.pcount++:"}"===a[0]&&b.pcount&&b.pcount--;return e},prevEndMatch:function(){this.search.matched=!0;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(a){a=this.search;var e=a.close,b,c;(e=a.cpos===e.length?e.nextSibling:e.splitText(a.cpos))||(b=e=MathJax.HTML.addText(a.close.parentNode,""));a.close=e;for(c=a.opos?a.open.splitText(a.opos):a.open;c.nextSibling&&c.nextSibling!==e;)c.nodeValue=null!==c.nextSibling.nodeValue?"#comment"===c.nextSibling.nodeName?c.nodeValue+c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1"):c.nodeValue+c.nextSibling.nodeValue:this.msieNewlineBug?c.nodeValue+("br"===c.nextSibling.nodeName.toLowerCase()?"\n":" "):c.nodeValue+" ",c.parentNode.removeChild(c.nextSibling);e=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);"none"!==this.config.preview&&this.createPreview(a.mode,e);c=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;b&&b.parentNode.removeChild(b);return c},insertNode:function(a){var e=this.search;e.close.parentNode.insertBefore(a,e.close)},createPreview:function(a,e){var b=this.config.preview;"none"!==b&&("TeX"===b&&(b=[this.filterPreview(e)]),b&&(b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b),this.insertNode(b)))},createMathTag:function(a,e){var b=document.createElement("script");b.type="math/tex"+a;MathJax.HTML.setScript(b,e);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:MathJax.Hub.Browser.isMSIE&&9>document.documentMode};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");(function(a,e,b,c,m,n,f){var h=MathJax.Extension,p=h.MathEvents={version:"2.2"},d=a.config.menuSettings,k={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:b.fileURL(n.imageDir+"/MenuArrow-15.png")},fadeinInc:.2,fadeoutInc:.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15E3,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"}}},l=p.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(d){return l.Handler(d,"Mousedown",this)},Mouseup:function(d){return l.Handler(d,"Mouseup",this)},Mousemove:function(d){return 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d.settings.CTRL&&!a.ctrlKey||d.settings.ALT&&!a.altKey||d.settings.CMD&&!a.metaKey||d.settings.Shift&&!a.shiftKey||!d[c]?!0:d[c](a,b)},Click:function(d,a){if("Click"===this.settings.zoom)return this.Zoom(d,a)},DblClick:function(d,a){if("Double-Click"===this.settings.zoom)return this.Zoom(d,a)},Hover:function(d,a){return"Hover"===this.settings.zoom?(this.Zoom(d,a),!0):!1},Zoom:function(d,c){this.Remove();h.ClearHoverTimer();p.ClearSelection();var b=MathJax.OutputJax[c.jaxID],m=b.getJaxFromMath(c);m.hover&&h.UnHover(m);var g=Math.floor(.85*document.body.clientWidth),q=Math.floor(.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight)),v=e.Element("span",{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":g+"px","max-height":q+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]),u=v.lastChild,y=u.firstChild,z=v.firstChild;c.parentNode.insertBefore(v,c);c.parentNode.insertBefore(c,v);y.addEventListener&&y.addEventListener("mousedown",this.Remove,!0);if(this.msieTrapEventBug){var w=e.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});v.insertBefore(w,u)}this.msieZIndexBug&&(e.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}}),v.style.position="relative",v.style.zIndex=n.styles["#MathJax_ZoomOverlay"]["z-index"]);b=b.Zoom(m,y,c,g,q);this.msiePositionBug&&(this.msieSizeBug&&(u.style.height=b.zH+"px",u.style.width=b.zW+"px"),u.offsetHeight>q&&(u.style.height=q+"px",u.style.width=b.zW+this.scrollSize+"px"),u.offsetWidth>g&&(u.style.width=g+"px",u.style.height=b.zH+this.scrollSize+"px"));this.operaPositionBug&&(u.style.width=Math.min(g,b.zW)+"px");u.offsetWidth&&u.offsetWidth<g&&u.offsetHeight<q&&(u.style.overflow="visible");this.Position(u,b);this.msieTrapEventBug&&(w.style.height=u.clientHeight+"px",w.style.width=u.clientWidth+"px",w.style.left=parseFloat(u.style.left)+u.clientLeft+"px",w.style.top=parseFloat(u.style.top)+u.clientTop+"px");u.style.visibility="";"Hover"===this.settings.zoom&&(z.onmouseover=this.Remove);window.addEventListener?addEventListener("resize",this.Resize,!1):window.attachEvent?attachEvent("onresize",this.Resize):(this.onresize=window.onresize,window.onresize=this.Resize);a.signal.Post(["math 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a=d.scroll_parent||document.documentElement||document.body;d.style.width=a.scrollWidth+"px";d.style.height=Math.max(a.clientHeight,a.scrollHeight)+"px"},getOverflow:window.getComputedStyle?function(d){return getComputedStyle(d).overflow}:function(d){return(d.currentStyle||{overflow:"visible"}).overflow},getBorder:function(d){var a={thin:1,medium:2,thick:3},c=window.getComputedStyle?getComputedStyle(d):d.currentStyle||{borderLeftWidth:0,borderTopWidth:0};d=c.borderLeftWidth;c=c.borderTopWidth;d=a[d]?a[d]:parseInt(d);c=a[c]?a[c]:parseInt(c);return{x:d,y:c}},getXY:function(a){var c=0,b=0,e;for(e=a;e.offsetParent;)c+=e.offsetLeft,e=e.offsetParent;d.operaPositionBug&&(a.style.border="1px solid");for(e=a;e.offsetParent;)b+=e.offsetTop,e=e.offsetParent;d.operaPositionBug&&(a.style.border="");return{x:c,y:b}},Remove:function(c){var b=document.getElementById("MathJax_ZoomFrame");if(b){var h=MathJax.OutputJax[b.previousSibling.jaxID].getJaxFromMath(b.previousSibling);a.signal.Post(["math 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c=document.getElementById("MathJax_MenuFrame").childNodes,k=a.parentNode.childNodes,b=0,l=k.length;b<l;b++){var e=k[b].menuItem;e&&e.menu&&e.menu.posted&&e.Deactivate(k[b])}for(l=c.length-1;0<=l&&a.parentNode.menuItem!==c[l].menuItem;)c[l].menuItem.posted=!1,c[l].parentNode.removeChild(c[l]),l--;this.Timer&&!g.isMobile&&this.Timer(d,a)}},Mouseout:function(d,a){this.menu&&this.menu.posted||this.Deactivate(a);this.timer&&(clearTimeout(this.timer),delete this.timer)},Mouseup:function(d,a){return this.Remove(d,a)},Touchstart:function(d,a){return this.TouchEvent(d,a,"Mousedown")},Touchend:function(d,a){return this.TouchEvent(d,a,"Mouseup")},TouchEvent:function(d,a,c){this!==q.lastItem&&(q.lastMenu&&g.Event(d,q.lastMenu,"Mouseout"),g.Event(d,a,"Mouseover",!0),q.lastItem=this,q.lastMenu=a);if(this.nativeTouch)return null;g.Event(d,a,c);return!1},Remove:function(d,a){a=a.parentNode.menuItem;return a.Remove(d,a)},Activate:function(d){this.Deactivate(d);d.className+=" MathJax_MenuActive"},Deactivate:function(d){d.className=d.className.replace(/ MathJax_MenuActive/,"")},With:function(d){d&&a.Insert(this,d);return this}});g.ITEM.COMMAND=g.ITEM.Subclass({action:function(){},Init:function(d,a,c){d instanceof Array||(d=[d,d]);this.name=d;this.action=a;this.With(c)},Label:function(d,a){return[this.Name()]},Mouseup:function(d,a){this.disabled||(this.Remove(d,a),n.Post(["command",this]),this.action.call(this,d));return r(d)}});g.ITEM.SUBMENU=g.ITEM.Subclass({menu:null,marker:h&&!a.Browser.isSafari?"\u25b6":"\u25b8",Init:function(d,a){d instanceof Array||(d=[d,d]);this.name=d;var c=1;a instanceof g.ITEM||(this.With(a),c++);this.menu=g.apply(g,[].slice.call(arguments,c))},Label:function(d,a){this.menu.posted=!1;return[this.Name()+" 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c={className:"MathJax_MenuRadioCheck"};l.settings[this.variable]!==this.value&&(c={style:{display:"none"}});return[["span",c,[this.marker]]," "+this.Name()]},Mouseup:function(d,a){if(!this.disabled){for(var c=a.parentNode.childNodes,k=0,b=c.length;k<b;k++){var e=c[k].menuItem;e&&e.variable===this.variable&&(c[k].firstChild.style.display="none")}a.firstChild.display="";l.settings[this.variable]=this.value;g.cookie[this.variable]=l.settings[this.variable];g.saveCookie();n.Post(["radio button",this])}this.Remove(d,a);this.action&&!this.disabled&&this.action.call(g,this);return r(d)}});g.ITEM.CHECKBOX=g.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(d,a,c){d instanceof Array||(d=[d,d]);this.name=d;this.variable=a;this.With(c)},Label:function(d,a){var c={className:"MathJax_MenuCheck"};l.settings[this.variable]||(c={style:{display:"none"}});return[["span",c,[this.marker]]," "+this.Name()]},Mouseup:function(d,a){this.disabled||(a.firstChild.display=l.settings[this.variable]?"none":"",l.settings[this.variable]=!l.settings[this.variable],g.cookie[this.variable]=l.settings[this.variable],g.saveCookie(),n.Post(["checkbox",this]));this.Remove(d,a);this.action&&!this.disabled&&this.action.call(g,this);return r(d)}});g.ITEM.LABEL=g.ITEM.Subclass({Init:function(d,a){d instanceof Array||(d=[d,d]);this.name=d;this.With(a)},Label:function(d,a){delete d.onmouseover;delete d.onmouseout;delete d.onmousedown;d.className+=" MathJax_MenuLabel";return[this.Name()]}});g.ITEM.RULE=g.ITEM.Subclass({Label:function(d,a){delete d.onmouseover;delete d.onmouseout;delete d.onmousedown;d.className+=" MathJax_MenuRule";return null}});g.About=function(){var d=m["HTML-CSS"]||{},c=(d.imgFonts?"image":d.fontInUse?(d.webFonts?"web":"local")+" "+d.fontInUse:m.SVG?"web SVG":"generic")+" fonts",d=!d.webFonts||d.imgFonts?null:d.allowWebFonts.replace(/otf/,"woff or otf")+" fonts",k=["MathJax.js v"+MathJax.fileversion,["br"]];k.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(k,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(k,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(k,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);k.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(k,MathJax.Extension,["Extension","%1 Extension v%2"],!0);k.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[a.Browser+" v"+a.Browser.version+(d?" \u2014 "+f(d.replace(/ /g,""),d):"")]]);g.About.div=g.Background(g.About);c=e.addElement(g.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],f(c.replace(/ /g,""),"using "+c),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},k],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:l.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:g.About.Remove}]]);MathJax.Localization.setCSS(c);d=document.documentElement||{};d=window.innerHeight||d.clientHeight||d.scrollHeight||0;g.prototype.msieAboutBug?(c.style.width="20em",c.style.position="absolute",c.style.left=Math.floor((document.documentElement.scrollWidth-c.offsetWidth)/2)+"px",c.style.top=Math.floor((d-c.offsetHeight)/3)+document.body.scrollTop+"px"):(c.style.marginLeft=Math.floor(-c.offsetWidth/2)+"px",c.style.top=Math.floor((d-c.offsetHeight)/3)+"px")};g.About.Remove=function(d){g.About.div&&(document.body.removeChild(g.About.div),delete g.About.div)};g.About.GetJax=function(d,a,c,k){var b=[],l;for(l in a)a.hasOwnProperty(l)&&a[l]&&(k&&a[l].version||a[l].isa&&a[l].isa(a))&&b.push(f(c[0],c[1],a[l].id||l,a[l].version));b.sort();a=0;for(c=b.length;a<c;a++)d.push(b[a],["br"]);return d};g.Help=function(){b.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};g.ShowSource=function(d){d||(d=window.event);var a={screenX:d.screenX,screenY:d.screenY};if(g.jax)if("MathML"===this.format){var k=MathJax.ElementJax.mml;if(k&&"undefined"!==typeof k.mbase.prototype.toMathML)try{g.ShowSource.Text(g.jax.root.toMathML(),d)}catch(l){if(!l.restart)throw l;c.After([this,g.ShowSource,a],l.restart)}else b.loadingToMathML||(b.loadingToMathML=!0,g.ShowSource.Window(d),c.Queue(b.Require("[MathJax]/extensions/toMathML.js"),function(){delete b.loadingToMathML;k.mbase.prototype.toMathML||(k.mbase.prototype.toMathML=function(){})},[this,g.ShowSource,a]))}else"Error"===this.format?g.ShowSource.Text(g.jax.errorText,d):null==g.jax.originalText?alert(f("NoOriginalForm","No original form available")):g.ShowSource.Text(g.jax.originalText,d)};g.ShowSource.Window=function(d){if(!g.ShowSource.w){d=[];var a=l.windowSettings,c;for(c in a)a.hasOwnProperty(c)&&d.push(c+"\x3d"+a[c]);g.ShowSource.w=window.open("","_blank",d.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(d,a){var c=g.ShowSource.Window(a);delete g.ShowSource.w;d=d.replace(/^\s*/,"").replace(/\s*$/,"");d=d.replace(/&/g,"\x26amp;").replace(/</g,"\x26lt;").replace(/>/g,"\x26gt;");var k=f("EqSource","MathJax Equation Source");if(g.isMobile)c.document.open(),c.document.write("\x3chtml\x3e\x3chead\x3e\x3cmeta name\x3d'viewport' content\x3d'width\x3ddevice-width, initial-scale\x3d1.0' /\x3e\x3ctitle\x3e"+k+"\x3c/title\x3e\x3c/head\x3e\x3cbody style\x3d'font-size:85%'\x3e"),c.document.write("\x3cpre\x3e"+d+"\x3c/pre\x3e"),c.document.write("\x3chr\x3e\x3cinput type\x3d'button' value\x3d'"+f("Close","Close")+"' onclick\x3d'window.close()' /\x3e"),c.document.write("\x3c/body\x3e\x3c/html\x3e"),c.document.close();else{c.document.open();c.document.write("\x3chtml\x3e\x3chead\x3e\x3ctitle\x3e"+k+"\x3c/title\x3e\x3c/head\x3e\x3cbody style\x3d'font-size:85%'\x3e");c.document.write("\x3ctable\x3e\x3ctr\x3e\x3ctd\x3e\x3cpre\x3e"+d+"\x3c/pre\x3e\x3c/td\x3e\x3c/tr\x3e\x3c/table\x3e");c.document.write("\x3c/body\x3e\x3c/html\x3e");c.document.close();var b=c.document.body.firstChild;setTimeout(function(){var d=c.outerHeight-c.innerHeight||30,k=c.outerWidth-c.innerWidth||30,k=Math.max(100,Math.min(Math.floor(.5*screen.width),b.offsetWidth+k+25)),d=Math.max(40,Math.min(Math.floor(.5*screen.height),b.offsetHeight+d+25));c.resizeTo(k,d);a&&null!=a.screenX&&(k=Math.max(0,Math.min(a.screenX-Math.floor(k/2),screen.width-k-20)),d=Math.max(0,Math.min(a.screenY-Math.floor(d/2),screen.height-d-20)),c.moveTo(k,d))},50)}};g.Scale=function(){var d=m["HTML-CSS"],c=m.NativeMML,k=m.SVG,b=(d||c||k||{config:{scale:100}}).config.scale,l=prompt(f("ScaleMath","Scale all mathematics (compared to surrounding text) by"),b+"%");l&&(l.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)?(l=parseFloat(l))?l!==b&&(d&&(d.config.scale=l),c&&(c.config.scale=l),k&&(k.config.scale=l),g.cookie.scale=l,g.saveCookie(),a.Reprocess()):alert(f("NonZeroScale","The scale should not be zero")):alert(f("PercentScale","The scale should be a percentage (e.g., 120%%)")))};g.Zoom=function(){MathJax.Extension.MathZoom||b.Require("[MathJax]/extensions/MathZoom.js")};g.Renderer=function(){var c=a.outputJax["jax/mml"];if(c[0]!==l.settings.renderer){var k=a.Browser,b,h=g.Renderer.Messages,m;switch(l.settings.renderer){case "NativeMML":l.settings.warnedMML||(k.isChrome&&"24."!==k.version.substr(0,3)?b=h.MML.WebKit:k.isSafari&&!k.versionAtLeast("5.0")?b=h.MML.WebKit:k.isMSIE?k.hasMathPlayer||(b=h.MML.MSIE):b=h.MML[k],m="warnedMML");break;case "SVG":l.settings.warnedSVG||!k.isMSIE||d||(b=h.SVG.MSIE)}if(b){b=f(b[0],b[1]);b=b+"\n\n"+f("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=c[0].id;g.saveCookie();if(!confirm(b)){g.cookie.renderer=l.settings.renderer=e.Cookie.Get("menu").renderer;g.saveCookie();return}m&&(g.cookie.warned=l.settings.warned=!0);g.cookie.renderer=l.settings.renderer;g.saveCookie()}a.Queue(["setRenderer",a,l.settings.renderer,"jax/mml"],["Rerender",a])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.Font=function(){m["HTML-CSS"]&&document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(l.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var d=prompt(f("LoadURL","Load translation data from this URL:"));d&&(d.match(/\.js$/)||alert(f("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'")),b.Require(d,function(a){a!=b.STATUS.OK&&alert(f("BadData","Failed to load translation data from %1",d))}))};g.MPEvents=function(a){var c=l.settings.discoverable,k=g.MPEvents.Messages;d?!c&&"Menu Events"===a.name[1]&&l.settings.mpContext&&alert(f.apply(f,k.IE9warning)):l.settings.mpMouse&&!confirm(f.apply(f,k.IE8warning))?(delete g.cookie.mpContext,delete l.settings.mpContext,delete g.cookie.mpMouse,delete l.settings.mpMouse,g.saveCookie()):(l.settings.mpContext=l.settings.mpMouse,g.cookie.mpContext=g.cookie.mpMouse=l.settings.mpMouse,g.saveCookie(),MathJax.Hub.Queue(["Rerender",MathJax.Hub]))};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};a.Browser.Select({MSIE:function(a){var c="BackCompat"===document.compatMode;a=a.versionAtLeast("8.0")&&7<document.documentMode;g.Augment({margin:20,msieBackgroundBug:9>document.documentMode,msieFixedPositionBug:c||!a,msieAboutBug:c});d&&(delete l.styles["#MathJax_About"].filter,delete l.styles[".MathJax_Menu"].filter)},Firefox:function(d){g.skipMouseover=d.isMobile&&d.versionAtLeast("6.0");g.skipMousedown=d.isMobile}});g.isMobile=a.Browser.isMobile;g.noContextMenu=a.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(g.menu){var d=g.menu.Find("Language").menu,a=d.items,c=[],k=MathJax.Localization.strings,b;for(b in k)k.hasOwnProperty(b)&&c.push(b);c=c.sort();d.items=[];b=0;for(var l=c.length;b<l;b++){var e=k[c[b]].menuTitle,e=e?e+(" ("+c[b]+")"):c[b];d.items.push(q.RADIO([c[b],e],"locale",{action:g.Locale}))}d.items.push(a[a.length-2],a[a.length-1])}};a.Register.StartupHook("End Config",function(){l.settings=a.config.menuSettings;"undefined"!==typeof l.settings.showRenderer&&(l.showRenderer=l.settings.showRenderer);"undefined"!==typeof l.settings.showFontMenu&&(l.showFontMenu=l.settings.showFontMenu);"undefined"!==typeof l.settings.showContext&&(l.showContext=l.settings.showContext);g.getCookie();g.menu=g(q.SUBMENU(["Show","Show Math As"],q.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:!0,format:"MathML"}),q.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:!0}),q.RULE(),q.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),q.RULE(),q.SUBMENU(["Settings","Math Settings"],q.SUBMENU(["ZoomTrigger","Zoom Trigger"],q.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),q.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),q.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),q.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),q.RULE(),q.LABEL(["TriggerRequires","Trigger Requires:"]),q.CHECKBOX(a.Browser.isMac?["Option","Option"]:["Alt","Alt"],"ALT"),q.CHECKBOX(["Command","Command"],"CMD",{hidden:!a.Browser.isMac}),q.CHECKBOX(["Control","Control"],"CTRL",{hidden:a.Browser.isMac}),q.CHECKBOX(["Shift","Shift"],"Shift")),q.SUBMENU(["ZoomFactor","Zoom Factor"],q.RADIO("125%","zscale"),q.RADIO("133%","zscale"),q.RADIO("150%","zscale"),q.RADIO("175%","zscale"),q.RADIO("200%","zscale"),q.RADIO("250%","zscale"),q.RADIO("300%","zscale"),q.RADIO("400%","zscale")),q.RULE(),q.SUBMENU(["Renderer","Math Renderer"],{hidden:!l.showRenderer},q.RADIO("HTML-CSS","renderer",{action:g.Renderer}),q.RADIO("MathML","renderer",{action:g.Renderer,value:"NativeMML"}),q.RADIO("SVG","renderer",{action:g.Renderer})),q.SUBMENU("MathPlayer",{hidden:!a.Browser.isMSIE||!l.showMathPlayer,disabled:!a.Browser.hasMathPlayer},q.LABEL(["MPHandles","Let MathPlayer Handle:"]),q.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!d}),q.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!d}),q.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:d})),q.SUBMENU(["FontPrefs","Font Preference"],{hidden:!l.showFontMenu},q.LABEL(["ForHTMLCSS","For HTML-CSS:"]),q.RADIO(["Auto","Auto"],"font",{action:g.Font}),q.RULE(),q.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),q.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),q.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),q.RULE(),q.RADIO(["STIXlocal","STIX (local)"],"font",{action:g.Font})),q.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!l.showContext},q.RADIO("MathJax","context"),q.RADIO(["Browser","Browser"],"context")),q.COMMAND(["Scale","Scale All Math ..."],g.Scale),q.RULE().With({hidden:!l.showDiscoverable,name:["","discover_rule"]}),q.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!l.showDiscoverable})),q.SUBMENU(["Locale","Language"],{hidden:!l.showLocale},q.RADIO("en","locale",{action:g.Locale}),q.RULE().With({hidden:!l.showLocaleURL,name:["","localURL_rule"]}),q.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!l.showLocaleURL})),q.RULE(),q.COMMAND(["About","About MathJax"],g.About),q.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){var c=l.settings,k=g.menu.Find("Math Settings","Zoom Trigger").menu;k.items[0].disabled=k.items[1].disabled=!0;if("Hover"===c.zoom||"Click"==c.zoom)c.zoom="None";k.items=k.items.slice(0,4);navigator.appVersion.match(/[ (]Android[) ]/)&&g.ITEM.SUBMENU.Augment({marker:"\u00bb"})}g.CreateLocaleMenu()});g.showRenderer=function(d){g.cookie.showRenderer=l.showRenderer=d;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!d};g.showMathPlayer=function(d){g.cookie.showMathPlayer=l.showMathPlayer=d;g.saveCookie();g.menu.Find("Math 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