/*
 *  /MathJax/config/TeX-AMS-MML_HTMLorMML.js
 *  
 *  Copyright (c) 2010-2013 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:!0});MathJax.Ajax.Preloading("[MathJax]/jax/input/TeX/config.js","[MathJax]/jax/input/MathML/config.js","[MathJax]/jax/output/HTML-CSS/config.js","[MathJax]/jax/output/NativeMML/config.js","[MathJax]/config/MMLorHTML.js","[MathJax]/extensions/tex2jax.js","[MathJax]/extensions/mml2jax.js","[MathJax]/extensions/MathEvents.js","[MathJax]/extensions/MathZoom.js","[MathJax]/extensions/MathMenu.js","[MathJax]/jax/element/mml/jax.js","[MathJax]/extensions/toMathML.js","[MathJax]/extensions/TeX/noErrors.js","[MathJax]/extensions/TeX/noUndefined.js","[MathJax]/jax/input/TeX/jax.js","[MathJax]/extensions/TeX/AMSmath.js","[MathJax]/extensions/TeX/AMSsymbols.js","[MathJax]/jax/input/MathML/jax.js");MathJax.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.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.2",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:!1}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.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,d){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),d=["[Math]"],g=document.createElement("span",{className:"MathJax_Preview"});"TeX"===e.inputJax&&(e.root.Get("displaystyle")?(d=b.displayMathDelimiters,d=[d[0]+e.originalText+d[1]],b.multilineDisplay&&(d=d[0].split(/\n/))):(d=b.inlineMathDelimiters,d=[d[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+d[1]]));for(var e=0,k=d.length;e<k;e++)g.appendChild(document.createTextNode(d[e])),e<k-1&&g.appendChild(document.createElement("br"));c.parentNode.insertBefore(g,c)}},a.config["HTML-CSS"]||{});"0.0"===a.Browser.version||a.Browser.versionAtLeast(b.minBrowserVersion[a.Browser]||0)||(d.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.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.2",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,minScaleAdjust:50,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});MathJax.Hub.config.delayJaxRegistration||MathJax.OutputJax.NativeMML.Register("jax/mml");MathJax.OutputJax.NativeMML.loadComplete("config.js");(function(a,d){var b=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}}),c={Firefox:3,Opera:9.52,MSIE:6,Chrome:.3,Safari:2,Konqueror:4},e="0.0"===d.version||d.versionAtLeast(c[d]||0),m=d.isFirefox&&d.versionAtLeast("1.5")||d.isMSIE&&d.hasMathPlayer||d.isSafari&&d.versionAtLeast("5.0")||d.isOpera&&d.versionAtLeast("9.52");a.Register.StartupHook("End Config",function(){var c=b.prefer&&"object"===typeof b.prefer?b.prefer[MathJax.Hub.Browser]||b.prefer.other||"HTML":b.prefer;e||m?!m||"MML"!==c&&e?(MathJax.OutputJax["HTML-CSS"]?MathJax.OutputJax["HTML-CSS"].Register("jax/mml"):a.config.jax.unshift("output/HTML-CSS"),a.Startup.signal.Post("HTML-CSS output selected")):(MathJax.OutputJax.NativeMML?MathJax.OutputJax.NativeMML.Register("jax/mml"):a.config.jax.unshift("output/NativeMML"),a.Startup.signal.Post("NativeMML output selected")):(a.PreProcess.disabled=!0,a.prepareScripts.disabled=!0,MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4E3),a.Startup.signal.Post("MathJax not supported"))})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.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=[],d=[],b,c,e=this.config;this.match={};b=0;for(c=e.inlineMath.length;b<c;b++)a.push(this.patternQuote(e.inlineMath[b][0])),this.match[e.inlineMath[b][0]]={mode:"",end:e.inlineMath[b][1],pattern:this.endPattern(e.inlineMath[b][1])};b=0;for(c=e.displayMath.length;b<c;b++)a.push(this.patternQuote(e.displayMath[b][0])),this.match[e.displayMath[b][0]]={mode:"; mode\x3ddisplay",end:e.displayMath[b][1],pattern:this.endPattern(e.displayMath[b][1])};a.length&&d.push(a.sort(this.sortLength).join("|"));e.processEnvironments&&d.push("\\\\begin\\{([^}]*)\\}");e.processEscapes&&d.push("\\\\*\\\\\\$");e.processRefs&&d.push("\\\\(eq)?ref\\{[^}]*\\}");this.start=new RegExp(d.join("|"),"g");this.skipTags=new RegExp("^("+e.skipTags.join("|")+")$","i");a=[];MathJax.Hub.config.preRemoveClass&&a.push(MathJax.Hub.config.preRemoveClass);e.ignoreClass&&a.push(e.ignoreClass);this.ignoreClass=a.length?new RegExp("(^| )("+a.join("|")+")( |$)"):/^$/;this.processClass=new RegExp("(^| )("+e.processClass+")( |$)");return 0<d.length},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(a,d){return a.length!==d.length?d.length-a.length:a==d?0:a<d?-1:1},scanElement:function(a,d,b){for(var c,e,m;a&&a!=d;)"#text"===a.nodeName.toLowerCase()?b||(a=this.scanText(a)):(c="undefined"===typeof a.className?"":a.className,e="undefined"===typeof a.tagName?"":a.tagName,"string"!==typeof c&&(c=String(c)),m=this.processClass.exec(c),!a.firstChild||c.match(/(^| )MathJax/)||!m&&this.skipTags.exec(e)||(c=(b||this.ignoreClass.exec(c))&&!m,this.scanElement(a.firstChild,d,c))),a&&(a=a.nextSibling)},scanText:function(a){if(""==a.nodeValue.replace(/\s+/,""))return a;var d,b;this.search={start:!0};for(this.pattern=this.start;a;){for(this.pattern.lastIndex=0;a&&"#text"===a.nodeName.toLowerCase()&&(d=this.pattern.exec(a.nodeValue));)a=this.search.start?this.startMatch(d,a):this.endMatch(d,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,d){var b=this.match[a[0]];if(null!=b)this.search={end:b.end,mode:b.mode,pcount:0,open:d,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:d,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:d,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length},this.endMatch([""],d);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 e=MathJax.HTML.TextNode(d.nodeValue.substr(0,a.index));d.nodeValue=d.nodeValue.substr(a.index+a[0].length-b);d.parentNode.insertBefore(c,d);d.parentNode.insertBefore(e,c);this.pattern.lastIndex=b}return d},endMatch:function(a,d){var b=this.search;a[0]==b.end?(b.close&&0!==b.pcount||(b.close=d,b.cpos=this.pattern.lastIndex,b.clen=b.isBeginEnd?0:a[0].length),0===b.pcount&&(b.matched=!0,d=this.encloseMath(d),this.switchPattern(this.start))):"{"===a[0]?b.pcount++:"}"===a[0]&&b.pcount&&b.pcount--;return d},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 d=a.close,b,c;(d=a.cpos===d.length?d.nextSibling:d.splitText(a.cpos))||(b=d=MathJax.HTML.addText(a.close.parentNode,""));a.close=d;for(c=a.opos?a.open.splitText(a.opos):a.open;c.nextSibling&&c.nextSibling!==d;)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);d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);"none"!==this.config.preview&&this.createPreview(a.mode,d);c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;b&&b.parentNode.removeChild(b);return c},insertNode:function(a){var d=this.search;d.close.parentNode.insertBefore(a,d.close)},createPreview:function(a,d){var b=this.config.preview;"none"!==b&&("TeX"===b&&(b=[this.filterPreview(d)]),b&&(b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b),this.insertNode(b)))},createMathTag:function(a,d){var b=document.createElement("script");b.type="math/tex"+a;MathJax.HTML.setScript(b,d);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");MathJax.Extension.mml2jax={version:"2.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(a){this.configured||(this.config=MathJax.Hub.CombineConfig("mml2jax",this.config),this.config.Augment&&MathJax.Hub.Insert(this,this.config.Augment),this.InitBrowser(),this.configured=!0);"string"===typeof a&&(a=document.getElementById(a));a||(a=document.body);this.ProcessMathArray(a.getElementsByTagName("math"));a.getElementsByTagNameNS&&this.ProcessMathArray(a.getElementsByTagNameNS(this.MMLnamespace,"math"));var d,b;if("undefined"!==typeof document.namespaces)try{for(d=0,b=document.namespaces.length;d<b;d++){var c=document.namespaces[d];c.urn===this.MMLnamespace&&this.ProcessMathArray(a.getElementsByTagName(c.name+":math"))}}catch(m){}else if(c=document.getElementsByTagName("html")[0])for(d=0,b=c.attributes.length;d<b;d++){var e=c.attributes[d];"xmlns:"===e.nodeName.substr(0,6)&&e.nodeValue===this.MMLnamespace&&this.ProcessMathArray(a.getElementsByTagName(e.nodeName.substr(6)+":math"))}},ProcessMathArray:function(a){var d;if(a.length)if(this.MathTagBug)for(d=a.length-1;0<=d;d--)"MATH"===a[d].nodeName?this.ProcessMathFlattened(a[d]):this.ProcessMath(a[d]);else for(d=a.length-1;0<=d;d--)this.ProcessMath(a[d])},ProcessMath:function(a){var d=a.parentNode,b=document.createElement("script");b.type="math/mml";d.insertBefore(b,a);if(this.AttributeBug){var c=this.OuterHTML(a);this.CleanupHTML&&(c=c.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,""),c=c.replace(/&nbsp;/g,"\x26#xA0;"));MathJax.HTML.setScript(b,c);d.removeChild(a)}else d=MathJax.HTML.Element("span"),d.appendChild(a),MathJax.HTML.setScript(b,d.innerHTML);"none"!==this.config.preview&&this.createPreview(a,b)},ProcessMathFlattened:function(a){var d=a.parentNode,b=document.createElement("script");b.type="math/mml";d.insertBefore(b,a);for(var d="",c,e=a;a&&"/MATH"!==a.nodeName;)c=a,a=a.nextSibling,d+=this.NodeHTML(c),c.parentNode.removeChild(c);a&&"/MATH"===a.nodeName&&a.parentNode.removeChild(a);b.text=d+"\x3c/math\x3e";"none"!==this.config.preview&&this.createPreview(e,b)},NodeHTML:function(a){var d,b,c;if("#text"===a.nodeName)d=this.quoteHTML(a.nodeValue);else if("#comment"===a.nodeName)d="\x3c!--"+a.nodeValue+"--\x3e";else{d="\x3c"+a.nodeName.toLowerCase();b=0;for(c=a.attributes.length;b<c;b++){var e=a.attributes[b];if(e.specified){d+=" "+e.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"\x3d";var m=e.nodeValue;null==m&&"style"===e.nodeName&&a.style&&(m=a.style.cssText);d+='"'+this.quoteHTML(m)+'"'}}d+="\x3e";if(null!=a.outerHTML&&a.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){b=0;for(c=a.childNodes.length;b<c;b++)d+=this.OuterHTML(a.childNodes[b]);d+="\x3c/"+a.nodeName.toLowerCase()+"\x3e"}}return d},OuterHTML:function(a){if("#"===a.nodeName.charAt(0))return this.NodeHTML(a);if(!this.AttributeBug)return a.outerHTML;for(var d=this.NodeHTML(a),b=0,c=a.childNodes.length;b<c;b++)d+=this.OuterHTML(a.childNodes[b]);return d+="\x3c/"+a.nodeName.toLowerCase()+"\x3e"},quoteHTML:function(a){null==a&&(a="");return a.replace(/&/g,"\x26#x26;").replace(/</g,"\x26lt;").replace(/>/g,"\x26gt;").replace(/\"/g,"\x26quot;")},createPreview:function(a,d){var b=this.config.preview;"none"!==b&&("alttext"===b&&(b=a.getAttribute("alttext"),b=null!=b?[this.filterPreview(b)]:null),b&&(b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b),d.parentNode.insertBefore(b,d)))},filterPreview:function(a){return a},InitBrowser:function(){var a=MathJax.HTML.Element("span",{id:"\x3c",className:"mathjax",innerHTML:"\x3cmath\x3e\x3cmi\x3ex\x3c/mi\x3e\x3cmspace /\x3e\x3c/math\x3e"}),d=a.outerHTML||"";this.AttributeBug=""!==d&&!(d.match(/id="&lt;"/)&&d.match(/class="mathjax"/)&&d.match(/<\/math>/));this.MathTagBug=1<a.childNodes.length;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");(function(a,d,b,c,e,m,g){var k=MathJax.Extension,n=k.MathEvents={version:"2.2"},f=a.config.menuSettings,l={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(m.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"}}},p=n.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(a){return p.Handler(a,"Mousedown",this)},Mouseup:function(a){return p.Handler(a,"Mouseup",this)},Mousemove:function(a){return p.Handler(a,"Mousemove",this)},Mouseover:function(a){return p.Handler(a,"Mouseover",this)},Mouseout:function(a){return p.Handler(a,"Mouseout",this)},Click:function(a){return p.Handler(a,"Click",this)},DblClick:function(a){return p.Handler(a,"DblClick",this)},Menu:function(a){return p.Handler(a,"ContextMenu",this)},Handler:function(a,f,c){if(b.loadingMathMenu)return p.False(a);var l=m[c.jaxID];a||(a=window.event);a.isContextMenu="ContextMenu"===f;if(l[f])return l[f](a,c);if(k.MathZoom)return k.MathZoom.HandleEvent(a,f,c)},False:function(a){a||(a=window.event);a&&(a.preventDefault&&a.preventDefault(),a.stopPropagation&&a.stopPropagation(),a.cancelBubble=!0,a.returnValue=!1);return!1},ContextMenu:function(l,d,k){var h=m[d.jaxID],r=h.getJaxFromMath(d);if((null!=h.config.showMathMenu?h:a).config.showMathMenu&&("MathJax"===f.context||k)){n.msieEventBug&&(l=window.event||l);p.ClearSelection();t.ClearHoverTimer();r.hover&&(r.hover.remove&&(clearTimeout(r.hover.remove),delete 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b=c.fromElement||c.relatedTarget,e=c.toElement||c.target;if(b&&e&&(b.isMathJax!=e.isMathJax||a.getJaxFor(b)!==a.getJaxFor(e)))return b=this.getJaxFromMath(l),b.hover?t.UnHover(b):t.ClearHoverTimer(),p.False(c)}},Mousemove:function(a,c){if(f.discoverable||"Hover"===f.zoom){var l=this.getJaxFromMath(c);if(!l.hover&&(t.lastX!=a.clientX||t.lastY!=a.clientY))return t.lastX=a.clientX,t.lastY=a.clientY,t.HoverTimer(l,c),p.False(a)}},HoverTimer:function(a,f){this.ClearHoverTimer();this.hoverTimer=setTimeout(c(["Hover",this,a,f]),l.hover)},ClearHoverTimer:function(){this.hoverTimer&&(clearTimeout(this.hoverTimer),delete this.hoverTimer)},Hover:function(f,c){if(!k.MathZoom||!k.MathZoom.Hover({},c)){var b=m[f.outputJax],p=b.getHoverSpan(f,c),e=b.getHoverBBox(f,p,c),t=(null!=b.config.showMathMenu?b:a).config.showMathMenu,h=l.frame.x,g=l.frame.y,r=l.frame.bwidth;n.msieBorderWidthBug&&(r=0);f.hover={opacity:0,id:f.inputID+"-Hover"};var 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v=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});w.insertBefore(v,u)}this.msieZIndexBug&&(d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}}),w.style.position="relative",w.style.zIndex=m.styles["#MathJax_ZoomOverlay"]["z-index"]);b=b.Zoom(e,y,c,h,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>h&&(u.style.width=h+"px",u.style.height=b.zH+this.scrollSize+"px"));this.operaPositionBug&&(u.style.width=Math.min(h,b.zW)+"px");u.offsetWidth&&u.offsetWidth<h&&u.offsetHeight<q&&(u.style.overflow="visible");this.Position(u,b);this.msieTrapEventBug&&(v.style.height=u.clientHeight+"px",v.style.width=u.clientWidth+"px",v.style.left=parseFloat(u.style.left)+u.clientLeft+"px",v.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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f=a.scroll_parent||document.documentElement||document.body;a.style.width=f.scrollWidth+"px";a.style.height=Math.max(f.clientHeight,f.scrollHeight)+"px"},getOverflow:window.getComputedStyle?function(a){return getComputedStyle(a).overflow}:function(a){return(a.currentStyle||{overflow:"visible"}).overflow},getBorder:function(a){var f={thin:1,medium:2,thick:3},c=window.getComputedStyle?getComputedStyle(a):a.currentStyle||{borderLeftWidth:0,borderTopWidth:0};a=c.borderLeftWidth;c=c.borderTopWidth;a=f[a]?f[a]:parseInt(a);c=f[c]?f[c]:parseInt(c);return{x:a,y:c}},getXY:function(a){var c=0,b=0,e;for(e=a;e.offsetParent;)c+=e.offsetLeft,e=e.offsetParent;f.operaPositionBug&&(a.style.border="1px solid");for(e=a;e.offsetParent;)b+=e.offsetTop,e=e.offsetParent;f.operaPositionBug&&(a.style.border="");return{x:c,y:b}},Remove:function(c){var b=document.getElementById("MathJax_ZoomFrame");if(b){var e=MathJax.OutputJax[b.previousSibling.jaxID].getJaxFromMath(b.previousSibling);a.signal.Post(["math 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m.styles["#MathJax_Zoom"].filter},Opera:function(a){f.operaPositionBug=!0;f.operaRefreshBug=!0}});f.topImg=f.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}});if(f.operaPositionBug||f.msieTopBug)f.topImg.style.border="1px solid";MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",b,m.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",b,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);(function(a,d,b,c,e){var m=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:"2.2",signal:m};var g=function(a){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",a]].concat([].slice.call(arguments,1)))},k=a.Browser.isPC,n=a.Browser.isMSIE,f=8<(document.documentMode||0),l=k?null:"5px",p=a.CombineConfig("MathMenu",{delay:150,closeImg:b.fileURL(e.imageDir+"/CloseX-31.png"),showRenderer:!0,showMathPlayer:!0,showFontMenu:!1,showContext:!1,showDiscoverable:!1,showLocale:!0,showLocaleURL:!1,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 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q.lastItem,delete q.lastMenu,delete h.skipUp,m.Post(["post",h.jax]));var b=d.addElement(c,"div",{onmouseup:h.Mouseup,ondblclick:t,ondragstart:t,onselectstart:t,oncontextmenu:t,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(b);for(var l=0,e=this.items.length;l<e;l++)this.items[l].Create(b);h.isMobile&&d.addElement(b,"span",{className:"MathJax_Menu_Close",menu:f,ontouchstart:h.Close,ontouchend:t,onmousedown:h.Close,onmouseup:t},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]]);this.posted=!0;b.style.width=b.offsetWidth+2+"px";l=a.pageX;e=a.pageY;l||e||(l=a.clientX+document.body.scrollLeft+document.documentElement.scrollLeft,e=a.clientY+document.body.scrollTop+document.documentElement.scrollTop);if(f){for(var g="left",n=f.offsetWidth,l=h.isMobile?30:n-2,e=0;f&&f!==c;)l+=f.offsetLeft,e+=f.offsetTop,f=f.parentNode;l+b.offsetWidth>document.body.offsetWidth-this.margin&&!h.isMobile&&(g="right",l=Math.max(this.margin,l-n-b.offsetWidth+6));k||(b.style["borderRadiusTop"+g]=0,b.style["WebkitBorderRadiusTop"+g]=0,b.style["MozBorderRadiusTop"+g]=0,b.style["KhtmlBorderRadiusTop"+g]=0)}else l+b.offsetWidth>document.body.offsetWidth-this.margin&&(l=document.body.offsetWidth-b.offsetWidth-this.margin),h.isMobile&&(l=Math.max(5,l-Math.floor(b.offsetWidth/2)),e-=20),h.skipUp=a.isContextMenu;b.style.left=l+"px";b.style.top=e+"px";document.selection&&document.selection.empty&&document.selection.empty();return t(a)},Remove:function(a,f){m.Post(["unpost",h.jax]);var c=document.getElementById("MathJax_MenuFrame");c&&(c.parentNode.removeChild(c),this.msieFixedPositionBug&&detachEvent("onresize",h.Resize));h.jax.hover&&(delete h.jax.hover.nofade,r.UnHover(h.jax));return t(a)},Find:function(a){return this.FindN(1,a,[].slice.call(arguments,1))},FindId:function(a){return this.FindN(0,a,[].slice.call(arguments,1))},FindN:function(a,f,c){for(var b=0,l=this.items.length;b<l;b++)if(this.items[b].name[a]===f){if(c.length){if(!this.items[b].menu)break;return this.items[b].menu.FindN(a,c[0],c.slice(1))}return this.items[b]}return null},IndexOf:function(a){return this.IndexOfN(1,a)},IndexOfId:function(a){return this.IndexOfN(0,a)},IndexOfN:function(a,f){for(var c=0,b=this.items.length;c<b;c++)if(this.items[c].name[a]===f)return c;return null}},{config:p,div:null,Close:function(a){return h.Event(a,this.menu||this.parentNode,this.menu?"Touchend":"Remove")},Remove:function(a){return h.Event(a,this,"Remove")},Mouseover:function(a){return h.Event(a,this,"Mouseover")},Mouseout:function(a){return h.Event(a,this,"Mouseout")},Mousedown:function(a){return h.Event(a,this,"Mousedown")},Mouseup:function(a){return h.Event(a,this,"Mouseup")},Touchstart:function(a){return h.Event(a,this,"Touchstart")},Touchend:function(a){return h.Event(a,this,"Touchend")},Event:function(a,f,c,b){if(h.skipMouseover&&"Mouseover"===c&&!b)return t(a);if(h.skipUp){if(c.match(/Mouseup|Touchend/))return delete h.skipUp,t(a);("Touchstart"===c||"Mousedown"===c&&!h.skipMousedown)&&delete h.skipUp}a||(a=window.event);return(b=f.menuItem)&&b[c]?b[c](a,f):null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(a){a=d.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:a,onmousedown:this.Remove}]]);var f=a.firstChild;h.msieBackgroundBug&&(f.style.backgroundColor="white",f.style.filter="alpha(opacity\x3d0)");h.msieFixedPositionBug?(a.width=a.height=0,this.Resize(),attachEvent("onresize",this.Resize)):f.style.position="fixed";return a},Resize:function(){setTimeout(h.SetWH,0)},SetWH:function(){var a=document.getElementById("MathJax_MenuFrame");a&&(a=a.firstChild,a.style.width=a.style.height="1px",a.style.width=document.body.scrollWidth+"px",a.style.height=document.body.scrollHeight+"px")},saveCookie:function(){d.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=d.Cookie.Get("menu")},getImages:function(){h.isMobile&&((new Image).src=p.closeImg)}}),q=h.ITEM=MathJax.Object.Subclass({name:"",Create:function(a){if(!this.hidden){var f={onmouseover:h.Mouseover,onmouseout:h.Mouseout,onmouseup:h.Mouseup,onmousedown:h.Mousedown,ondragstart:t,onselectstart:t,onselectend:t,ontouchstart:h.Touchstart,ontouchend:h.Touchend,className:"MathJax_MenuItem",menuItem:this};this.disabled&&(f.className+=" MathJax_MenuDisabled");d.addElement(a,"div",f,this.Label(f,a))}},Name:function(){return g(this.name[0],this.name[1])},Mouseover:function(a,f){this.disabled||this.Activate(f);if(!this.menu||!this.menu.posted){for(var c=document.getElementById("MathJax_MenuFrame").childNodes,b=f.parentNode.childNodes,l=0,e=b.length;l<e;l++){var d=b[l].menuItem;d&&d.menu&&d.menu.posted&&d.Deactivate(b[l])}for(e=c.length-1;0<=e&&f.parentNode.menuItem!==c[e].menuItem;)c[e].menuItem.posted=!1,c[e].parentNode.removeChild(c[e]),e--;this.Timer&&!h.isMobile&&this.Timer(a,f)}},Mouseout:function(a,f){this.menu&&this.menu.posted||this.Deactivate(f);this.timer&&(clearTimeout(this.timer),delete this.timer)},Mouseup:function(a,f){return this.Remove(a,f)},Touchstart:function(a,f){return this.TouchEvent(a,f,"Mousedown")},Touchend:function(a,f){return this.TouchEvent(a,f,"Mouseup")},TouchEvent:function(a,f,c){this!==q.lastItem&&(q.lastMenu&&h.Event(a,q.lastMenu,"Mouseout"),h.Event(a,f,"Mouseover",!0),q.lastItem=this,q.lastMenu=f);if(this.nativeTouch)return null;h.Event(a,f,c);return!1},Remove:function(a,f){f=f.parentNode.menuItem;return f.Remove(a,f)},Activate:function(a){this.Deactivate(a);a.className+=" 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",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(a,f){this.timer&&clearTimeout(this.timer);a={clientX:a.clientX,clientY:a.clientY};this.timer=setTimeout(c(["Mouseup",this,a,f]),p.delay)},Touchend:function(a,f){var c=this.menu.posted,b=this.SUPER(arguments).Touchend.apply(this,arguments);c&&(this.Deactivate(f),delete q.lastItem,delete q.lastMenu);return b},Mouseup:function(a,f){if(!this.disabled)if(this.menu.posted)for(var c=document.getElementById("MathJax_MenuFrame").childNodes,b=c.length-1;0<=b;){var l=c[b];l.menuItem.posted=!1;l.parentNode.removeChild(l);if(l.menuItem===this.menu)break;b--}else this.timer&&(clearTimeout(this.timer),delete this.timer),this.menu.Post(a,f);return t(a)}});h.ITEM.RADIO=h.ITEM.Subclass({variable:null,marker:k?"\u25cf":"\u2713",Init:function(a,f,c){a instanceof Array||(a=[a,a]);this.name=a;this.variable=f;this.With(c);null==this.value&&(this.value=this.name[0])},Label:function(a,f){var c={className:"MathJax_MenuRadioCheck"};p.settings[this.variable]!==this.value&&(c={style:{display:"none"}});return[["span",c,[this.marker]]," "+this.Name()]},Mouseup:function(a,f){if(!this.disabled){for(var c=f.parentNode.childNodes,b=0,l=c.length;b<l;b++){var e=c[b].menuItem;e&&e.variable===this.variable&&(c[b].firstChild.style.display="none")}f.firstChild.display="";p.settings[this.variable]=this.value;h.cookie[this.variable]=p.settings[this.variable];h.saveCookie();m.Post(["radio button",this])}this.Remove(a,f);this.action&&!this.disabled&&this.action.call(h,this);return t(a)}});h.ITEM.CHECKBOX=h.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(a,f,c){a instanceof Array||(a=[a,a]);this.name=a;this.variable=f;this.With(c)},Label:function(a,f){var c={className:"MathJax_MenuCheck"};p.settings[this.variable]||(c={style:{display:"none"}});return[["span",c,[this.marker]]," "+this.Name()]},Mouseup:function(a,f){this.disabled||(f.firstChild.display=p.settings[this.variable]?"none":"",p.settings[this.variable]=!p.settings[this.variable],h.cookie[this.variable]=p.settings[this.variable],h.saveCookie(),m.Post(["checkbox",this]));this.Remove(a,f);this.action&&!this.disabled&&this.action.call(h,this);return t(a)}});h.ITEM.LABEL=h.ITEM.Subclass({Init:function(a,f){a instanceof Array||(a=[a,a]);this.name=a;this.With(f)},Label:function(a,f){delete a.onmouseover;delete a.onmouseout;delete a.onmousedown;a.className+=" MathJax_MenuLabel";return[this.Name()]}});h.ITEM.RULE=h.ITEM.Subclass({Label:function(a,f){delete a.onmouseover;delete a.onmouseout;delete a.onmousedown;a.className+=" MathJax_MenuRule";return null}});h.About=function(){var f=e["HTML-CSS"]||{},c=(f.imgFonts?"image":f.fontInUse?(f.webFonts?"web":"local")+" "+f.fontInUse:e.SVG?"web SVG":"generic")+" fonts",f=!f.webFonts||f.imgFonts?null:f.allowWebFonts.replace(/otf/,"woff or otf")+" fonts",b=["MathJax.js v"+MathJax.fileversion,["br"]];b.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);h.About.GetJax(b,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);h.About.GetJax(b,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);h.About.GetJax(b,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);b.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);h.About.GetJax(b,MathJax.Extension,["Extension","%1 Extension v%2"],!0);b.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[a.Browser+" v"+a.Browser.version+(f?" \u2014 "+g(f.replace(/ /g,""),f):"")]]);h.About.div=h.Background(h.About);c=d.addElement(h.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],g(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"}},b],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:h.About.Remove}]]);MathJax.Localization.setCSS(c);f=document.documentElement||{};f=window.innerHeight||f.clientHeight||f.scrollHeight||0;h.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((f-c.offsetHeight)/3)+document.body.scrollTop+"px"):(c.style.marginLeft=Math.floor(-c.offsetWidth/2)+"px",c.style.top=Math.floor((f-c.offsetHeight)/3)+"px")};h.About.Remove=function(a){h.About.div&&(document.body.removeChild(h.About.div),delete h.About.div)};h.About.GetJax=function(a,f,c,b){var l=[],e;for(e in f)f.hasOwnProperty(e)&&f[e]&&(b&&f[e].version||f[e].isa&&f[e].isa(f))&&l.push(g(c[0],c[1],f[e].id||e,f[e].version));l.sort();f=0;for(c=l.length;f<c;f++)a.push(l[f],["br"]);return a};h.Help=function(){b.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};h.ShowSource=function(a){a||(a=window.event);var f={screenX:a.screenX,screenY:a.screenY};if(h.jax)if("MathML"===this.format){var l=MathJax.ElementJax.mml;if(l&&"undefined"!==typeof l.mbase.prototype.toMathML)try{h.ShowSource.Text(h.jax.root.toMathML(),a)}catch(e){if(!e.restart)throw e;c.After([this,h.ShowSource,f],e.restart)}else b.loadingToMathML||(b.loadingToMathML=!0,h.ShowSource.Window(a),c.Queue(b.Require("[MathJax]/extensions/toMathML.js"),function(){delete b.loadingToMathML;l.mbase.prototype.toMathML||(l.mbase.prototype.toMathML=function(){})},[this,h.ShowSource,f]))}else"Error"===this.format?h.ShowSource.Text(h.jax.errorText,a):null==h.jax.originalText?alert(g("NoOriginalForm","No original form available")):h.ShowSource.Text(h.jax.originalText,a)};h.ShowSource.Window=function(a){if(!h.ShowSource.w){a=[];var f=p.windowSettings,c;for(c in f)f.hasOwnProperty(c)&&a.push(c+"\x3d"+f[c]);h.ShowSource.w=window.open("","_blank",a.join(","))}return h.ShowSource.w};h.ShowSource.Text=function(a,f){var c=h.ShowSource.Window(f);delete h.ShowSource.w;a=a.replace(/^\s*/,"").replace(/\s*$/,"");a=a.replace(/&/g,"\x26amp;").replace(/</g,"\x26lt;").replace(/>/g,"\x26gt;");var b=g("EqSource","MathJax Equation Source");if(h.isMobile)c.document.open(),c.document.write("\x3chtml\x3e\x3chead\x3e\x3cmeta name\x3d'viewport' content\x3d'width\x3ddevice-width, initial-scale\x3d1.0' /\x3e\x3ctitle\x3e"+b+"\x3c/title\x3e\x3c/head\x3e\x3cbody style\x3d'font-size:85%'\x3e"),c.document.write("\x3cpre\x3e"+a+"\x3c/pre\x3e"),c.document.write("\x3chr\x3e\x3cinput type\x3d'button' value\x3d'"+g("Close","Close")+"' onclick\x3d'window.close()' /\x3e"),c.document.write("\x3c/body\x3e\x3c/html\x3e"),c.document.close();else{c.document.open();c.document.write("\x3chtml\x3e\x3chead\x3e\x3ctitle\x3e"+b+"\x3c/title\x3e\x3c/head\x3e\x3cbody style\x3d'font-size:85%'\x3e");c.document.write("\x3ctable\x3e\x3ctr\x3e\x3ctd\x3e\x3cpre\x3e"+a+"\x3c/pre\x3e\x3c/td\x3e\x3c/tr\x3e\x3c/table\x3e");c.document.write("\x3c/body\x3e\x3c/html\x3e");c.document.close();var l=c.document.body.firstChild;setTimeout(function(){var a=c.outerHeight-c.innerHeight||30,b=c.outerWidth-c.innerWidth||30,b=Math.max(100,Math.min(Math.floor(.5*screen.width),l.offsetWidth+b+25)),a=Math.max(40,Math.min(Math.floor(.5*screen.height),l.offsetHeight+a+25));c.resizeTo(b,a);f&&null!=f.screenX&&(b=Math.max(0,Math.min(f.screenX-Math.floor(b/2),screen.width-b-20)),a=Math.max(0,Math.min(f.screenY-Math.floor(a/2),screen.height-a-20)),c.moveTo(b,a))},50)}};h.Scale=function(){var f=e["HTML-CSS"],c=e.NativeMML,b=e.SVG,l=(f||c||b||{config:{scale:100}}).config.scale,d=prompt(g("ScaleMath","Scale all mathematics (compared to surrounding text) by"),l+"%");d&&(d.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)?(d=parseFloat(d))?d!==l&&(f&&(f.config.scale=d),c&&(c.config.scale=d),b&&(b.config.scale=d),h.cookie.scale=d,h.saveCookie(),a.Reprocess()):alert(g("NonZeroScale","The scale should not be zero")):alert(g("PercentScale","The scale should be a percentage (e.g., 120%%)")))};h.Zoom=function(){MathJax.Extension.MathZoom||b.Require("[MathJax]/extensions/MathZoom.js")};h.Renderer=function(){var c=a.outputJax["jax/mml"];if(c[0]!==p.settings.renderer){var b=a.Browser,l,e=h.Renderer.Messages,k;switch(p.settings.renderer){case "NativeMML":p.settings.warnedMML||(b.isChrome&&"24."!==b.version.substr(0,3)?l=e.MML.WebKit:b.isSafari&&!b.versionAtLeast("5.0")?l=e.MML.WebKit:b.isMSIE?b.hasMathPlayer||(l=e.MML.MSIE):l=e.MML[b],k="warnedMML");break;case "SVG":p.settings.warnedSVG||!b.isMSIE||f||(l=e.SVG.MSIE)}if(l){l=g(l[0],l[1]);l=l+"\n\n"+g("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");h.cookie.renderer=c[0].id;h.saveCookie();if(!confirm(l)){h.cookie.renderer=p.settings.renderer=d.Cookie.Get("menu").renderer;h.saveCookie();return}k&&(h.cookie.warned=p.settings.warned=!0);h.cookie.renderer=p.settings.renderer;h.saveCookie()}a.Queue(["setRenderer",a,p.settings.renderer,"jax/mml"],["Rerender",a])}};h.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."]}};h.Font=function(){e["HTML-CSS"]&&document.location.reload()};h.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};h.LoadLocale=function(){var a=prompt(g("LoadURL","Load translation data from this URL:"));a&&(a.match(/\.js$/)||alert(g("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'")),b.Require(a,function(f){f!=b.STATUS.OK&&alert(g("BadData","Failed to load translation data from %1",a))}))};h.MPEvents=function(a){var c=p.settings.discoverable,b=h.MPEvents.Messages;f?!c&&"Menu Events"===a.name[1]&&p.settings.mpContext&&alert(g.apply(g,b.IE9warning)):p.settings.mpMouse&&!confirm(g.apply(g,b.IE8warning))?(delete h.cookie.mpContext,delete p.settings.mpContext,delete h.cookie.mpMouse,delete p.settings.mpMouse,h.saveCookie()):(p.settings.mpContext=p.settings.mpMouse,h.cookie.mpContext=h.cookie.mpMouse=p.settings.mpMouse,h.saveCookie(),MathJax.Hub.Queue(["Rerender",MathJax.Hub]))};h.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;h.Augment({margin:20,msieBackgroundBug:9>document.documentMode,msieFixedPositionBug:c||!a,msieAboutBug:c});f&&(delete p.styles["#MathJax_About"].filter,delete p.styles[".MathJax_Menu"].filter)},Firefox:function(a){h.skipMouseover=a.isMobile&&a.versionAtLeast("6.0");h.skipMousedown=a.isMobile}});h.isMobile=a.Browser.isMobile;h.noContextMenu=a.Browser.noContextMenu;h.CreateLocaleMenu=function(){if(h.menu){var a=h.menu.Find("Language").menu,f=a.items,c=[],b=MathJax.Localization.strings,l;for(l in b)b.hasOwnProperty(l)&&c.push(l);c=c.sort();a.items=[];l=0;for(var e=c.length;l<e;l++){var d=b[c[l]].menuTitle,d=d?d+(" ("+c[l]+")"):c[l];a.items.push(q.RADIO([c[l],d],"locale",{action:h.Locale}))}a.items.push(f[f.length-2],f[f.length-1])}};a.Register.StartupHook("End Config",function(){p.settings=a.config.menuSettings;"undefined"!==typeof 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