/*
 *  /MathJax/config/TeX-MML-AM_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/input/AsciiMath/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/asciimath2jax.js","[MathJax]/extensions/MathEvents.js","[MathJax]/extensions/MathZoom.js","[MathJax]/extensions/MathMenu.js","[MathJax]/jax/element/mml/jax.js","[MathJax]/extensions/toMathML.js","[MathJax]/extensions/TeX/noErrors.js","[MathJax]/extensions/TeX/noUndefined.js","[MathJax]/jax/input/TeX/jax.js","[MathJax]/extensions/TeX/AMSmath.js","[MathJax]/extensions/TeX/AMSsymbols.js","[MathJax]/jax/input/MathML/jax.js","[MathJax]/jax/input/AsciiMath/jax.js");MathJax.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.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.2",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:!0,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.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),l=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||l?!l||"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,l;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)),l=this.processClass.exec(c),!a.firstChild||c.match(/(^| )MathJax/)||!l&&this.skipTags.exec(e)||(c=(b||this.ignoreClass.exec(c))&&!l,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:"; 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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(l){}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 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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");MathJax.Extension.asciimath2jax={version:"2.2",config:{delimiters:[["`","`"]],skipTags:"script noscript style textarea pre code".split(" 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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=n.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:u,onselectstart:u,onselectend:u,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,m=0,d=b.length;m<d;m++){var e=b[m].menuItem;e&&e.menu&&e.menu.posted&&e.Deactivate(b[m])}for(d=c.length-1;0<=d&&f.parentNode.menuItem!==c[d].menuItem;)c[d].menuItem.posted=!1,c[d].parentNode.removeChild(c[d]),d--;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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