/*
 *  /MathJax/config/Accessible-full.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]/jax/output/NativeMML/jax.js","[MathJax]/jax/output/HTML-CSS/jax.js","[MathJax]/jax/output/HTML-CSS/autoload/mtable.js");MathJax.Hub.Config({"v1.0-compatible":!1});MathJax.Hub.Config({menuSettings:{zoom:"Double-Click",mpContext:!0,mpMouse:!0},errorSettings:{message:["[Math Error]"]}});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(c){return c},formatTag:function(c){return"("+c+")"},formatID:function(c){return"mjx-eqn-"+String(c).replace(/[:"'<>&]/g,"")},formatURL:function(c){return"#"+escape(c)},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(c,e){var b=c.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:!0,minBrowserTranslate:function(d){var e=c.getJaxFor(d),m=["[Math]"],l=document.createElement("span",{className:"MathJax_Preview"});"TeX"===e.inputJax&&(e.root.Get("displaystyle")?(m=b.displayMathDelimiters,m=[m[0]+e.originalText+m[1]],b.multilineDisplay&&(m=m[0].split(/\n/))):(m=b.inlineMathDelimiters,m=[m[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+m[1]]));for(var e=0,q=m.length;e<q;e++)l.appendChild(document.createTextNode(m[e])),e<q-1&&l.appendChild(document.createElement("br"));d.parentNode.insertBefore(l,d)}},c.config["HTML-CSS"]||{});"0.0"===c.Browser.version||c.Browser.versionAtLeast(b.minBrowserVersion[c.Browser]||0)||(e.Translate=b.minBrowserTranslate,c.Config({showProcessingMessages:!1}),MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4E3),c.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(c,e){var b=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}}),d={Firefox:3,Opera:9.52,MSIE:6,Chrome:.3,Safari:2,Konqueror:4},n="0.0"===e.version||e.versionAtLeast(d[e]||0),m=e.isFirefox&&e.versionAtLeast("1.5")||e.isMSIE&&e.hasMathPlayer||e.isSafari&&e.versionAtLeast("5.0")||e.isOpera&&e.versionAtLeast("9.52");c.Register.StartupHook("End Config",function(){var d=b.prefer&&"object"===typeof b.prefer?b.prefer[MathJax.Hub.Browser]||b.prefer.other||"HTML":b.prefer;n||m?!m||"MML"!==d&&n?(MathJax.OutputJax["HTML-CSS"]?MathJax.OutputJax["HTML-CSS"].Register("jax/mml"):c.config.jax.unshift("output/HTML-CSS"),c.Startup.signal.Post("HTML-CSS output selected")):(MathJax.OutputJax.NativeMML?MathJax.OutputJax.NativeMML.Register("jax/mml"):c.config.jax.unshift("output/NativeMML"),c.Startup.signal.Post("NativeMML output selected")):(c.PreProcess.disabled=!0,c.prepareScripts.disabled=!0,MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4E3),c.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(c){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 c&&(c=document.getElementById(c));c||(c=document.body);this.createPatterns()&&this.scanElement(c,c.nextSibling)},createPatterns:function(){var c=[],e=[],b,d,n=this.config;this.match={};b=0;for(d=n.inlineMath.length;b<d;b++)c.push(this.patternQuote(n.inlineMath[b][0])),this.match[n.inlineMath[b][0]]={mode:"",end:n.inlineMath[b][1],pattern:this.endPattern(n.inlineMath[b][1])};b=0;for(d=n.displayMath.length;b<d;b++)c.push(this.patternQuote(n.displayMath[b][0])),this.match[n.displayMath[b][0]]={mode:"; mode\x3ddisplay",end:n.displayMath[b][1],pattern:this.endPattern(n.displayMath[b][1])};c.length&&e.push(c.sort(this.sortLength).join("|"));n.processEnvironments&&e.push("\\\\begin\\{([^}]*)\\}");n.processEscapes&&e.push("\\\\*\\\\\\$");n.processRefs&&e.push("\\\\(eq)?ref\\{[^}]*\\}");this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+n.skipTags.join("|")+")$","i");c=[];MathJax.Hub.config.preRemoveClass&&c.push(MathJax.Hub.config.preRemoveClass);n.ignoreClass&&c.push(n.ignoreClass);this.ignoreClass=c.length?new RegExp("(^| )("+c.join("|")+")( |$)"):/^$/;this.processClass=new RegExp("(^| )("+n.processClass+")( |$)");return 0<e.length},patternQuote:function(c){return c.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(c){return new RegExp(this.patternQuote(c)+"|\\\\.|[{}]","g")},sortLength:function(c,e){return c.length!==e.length?e.length-c.length:c==e?0:c<e?-1:1},scanElement:function(c,e,b){for(var d,n,m;c&&c!=e;)"#text"===c.nodeName.toLowerCase()?b||(c=this.scanText(c)):(d="undefined"===typeof c.className?"":c.className,n="undefined"===typeof c.tagName?"":c.tagName,"string"!==typeof d&&(d=String(d)),m=this.processClass.exec(d),!c.firstChild||d.match(/(^| )MathJax/)||!m&&this.skipTags.exec(n)||(d=(b||this.ignoreClass.exec(d))&&!m,this.scanElement(c.firstChild,e,d))),c&&(c=c.nextSibling)},scanText:function(c){if(""==c.nodeValue.replace(/\s+/,""))return c;var e,b;this.search={start:!0};for(this.pattern=this.start;c;){for(this.pattern.lastIndex=0;c&&"#text"===c.nodeName.toLowerCase()&&(e=this.pattern.exec(c.nodeValue));)c=this.search.start?this.startMatch(e,c):this.endMatch(e,c);this.search.matched&&(c=this.encloseMath(c));if(c){do b=c,c=c.nextSibling;while(c&&("br"===c.nodeName.toLowerCase()||"#comment"===c.nodeName.toLowerCase()));if(!c||"#text"!==c.nodeName)return this.search.close?this.prevEndMatch():b}}return c},startMatch:function(c,e){var b=this.match[c[0]];if(null!=b)this.search={end:b.end,mode:b.mode,pcount:0,open:e,olen:c[0].length,opos:this.pattern.lastIndex-c[0].length},this.switchPattern(b.pattern);else if("\\begin"===c[0].substr(0,6))this.search={end:"\\end{"+c[1]+"}",mode:"; mode\x3ddisplay",pcount:0,open:e,olen:0,opos:this.pattern.lastIndex-c[0].length,isBeginEnd:!0},this.switchPattern(this.endPattern(this.search.end));else{if("\\ref"===c[0].substr(0,4)||"\\eqref"===c[0].substr(0,6))return this.search={mode:"",end:"",open:e,pcount:0,olen:0,opos:this.pattern.lastIndex-c[0].length},this.endMatch([""],e);var b=c[0].substr(0,c[0].length-1),d;0===b.length%2?(d=[b.replace(/\\\\/g,"\\")],b=1):(d=[b.substr(1).replace(/\\\\/g,"\\"),"$"],b=0);d=MathJax.HTML.Element("span",null,d);var n=MathJax.HTML.TextNode(e.nodeValue.substr(0,c.index));e.nodeValue=e.nodeValue.substr(c.index+c[0].length-b);e.parentNode.insertBefore(d,e);e.parentNode.insertBefore(n,d);this.pattern.lastIndex=b}return e},endMatch:function(c,e){var b=this.search;c[0]==b.end?(b.close&&0!==b.pcount||(b.close=e,b.cpos=this.pattern.lastIndex,b.clen=b.isBeginEnd?0:c[0].length),0===b.pcount&&(b.matched=!0,e=this.encloseMath(e),this.switchPattern(this.start))):"{"===c[0]?b.pcount++:"}"===c[0]&&b.pcount&&b.pcount--;return e},prevEndMatch:function(){this.search.matched=!0;var c=this.encloseMath(this.search.close);this.switchPattern(this.start);return c},switchPattern:function(c){c.lastIndex=this.pattern.lastIndex;this.pattern=c;this.search.start=c===this.start},encloseMath:function(c){c=this.search;var e=c.close,b,d;(e=c.cpos===e.length?e.nextSibling:e.splitText(c.cpos))||(b=e=MathJax.HTML.addText(c.close.parentNode,""));c.close=e;for(d=c.opos?c.open.splitText(c.opos):c.open;d.nextSibling&&d.nextSibling!==e;)d.nodeValue=null!==d.nextSibling.nodeValue?"#comment"===d.nextSibling.nodeName?d.nodeValue+d.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1"):d.nodeValue+d.nextSibling.nodeValue:this.msieNewlineBug?d.nodeValue+("br"===d.nextSibling.nodeName.toLowerCase()?"\n":" "):d.nodeValue+" ",d.parentNode.removeChild(d.nextSibling);e=d.nodeValue.substr(c.olen,d.nodeValue.length-c.olen-c.clen);d.parentNode.removeChild(d);"none"!==this.config.preview&&this.createPreview(c.mode,e);d=this.createMathTag(c.mode,e);this.search={};this.pattern.lastIndex=0;b&&b.parentNode.removeChild(b);return d},insertNode:function(c){var e=this.search;e.close.parentNode.insertBefore(c,e.close)},createPreview:function(c,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(c,e){var b=document.createElement("script");b.type="math/tex"+c;MathJax.HTML.setScript(b,e);this.insertNode(b);return b},filterPreview:function(c){return c},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(c){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 c&&(c=document.getElementById(c));c||(c=document.body);this.ProcessMathArray(c.getElementsByTagName("math"));c.getElementsByTagNameNS&&this.ProcessMathArray(c.getElementsByTagNameNS(this.MMLnamespace,"math"));var e,b;if("undefined"!==typeof document.namespaces)try{for(e=0,b=document.namespaces.length;e<b;e++){var d=document.namespaces[e];d.urn===this.MMLnamespace&&this.ProcessMathArray(c.getElementsByTagName(d.name+":math"))}}catch(m){}else if(d=document.getElementsByTagName("html")[0])for(e=0,b=d.attributes.length;e<b;e++){var n=d.attributes[e];"xmlns:"===n.nodeName.substr(0,6)&&n.nodeValue===this.MMLnamespace&&this.ProcessMathArray(c.getElementsByTagName(n.nodeName.substr(6)+":math"))}},ProcessMathArray:function(c){var e;if(c.length)if(this.MathTagBug)for(e=c.length-1;0<=e;e--)"MATH"===c[e].nodeName?this.ProcessMathFlattened(c[e]):this.ProcessMath(c[e]);else for(e=c.length-1;0<=e;e--)this.ProcessMath(c[e])},ProcessMath:function(c){var e=c.parentNode,b=document.createElement("script");b.type="math/mml";e.insertBefore(b,c);if(this.AttributeBug){var d=this.OuterHTML(c);this.CleanupHTML&&(d=d.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,""),d=d.replace(/&nbsp;/g,"\x26#xA0;"));MathJax.HTML.setScript(b,d);e.removeChild(c)}else e=MathJax.HTML.Element("span"),e.appendChild(c),MathJax.HTML.setScript(b,e.innerHTML);"none"!==this.config.preview&&this.createPreview(c,b)},ProcessMathFlattened:function(c){var e=c.parentNode,b=document.createElement("script");b.type="math/mml";e.insertBefore(b,c);for(var e="",d,n=c;c&&"/MATH"!==c.nodeName;)d=c,c=c.nextSibling,e+=this.NodeHTML(d),d.parentNode.removeChild(d);c&&"/MATH"===c.nodeName&&c.parentNode.removeChild(c);b.text=e+"\x3c/math\x3e";"none"!==this.config.preview&&this.createPreview(n,b)},NodeHTML:function(c){var e,b,d;if("#text"===c.nodeName)e=this.quoteHTML(c.nodeValue);else if("#comment"===c.nodeName)e="\x3c!--"+c.nodeValue+"--\x3e";else{e="\x3c"+c.nodeName.toLowerCase();b=0;for(d=c.attributes.length;b<d;b++){var n=c.attributes[b];if(n.specified){e+=" "+n.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"\x3d";var m=n.nodeValue;null==m&&"style"===n.nodeName&&c.style&&(m=c.style.cssText);e+='"'+this.quoteHTML(m)+'"'}}e+="\x3e";if(null!=c.outerHTML&&c.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){b=0;for(d=c.childNodes.length;b<d;b++)e+=this.OuterHTML(c.childNodes[b]);e+="\x3c/"+c.nodeName.toLowerCase()+"\x3e"}}return e},OuterHTML:function(c){if("#"===c.nodeName.charAt(0))return this.NodeHTML(c);if(!this.AttributeBug)return c.outerHTML;for(var e=this.NodeHTML(c),b=0,d=c.childNodes.length;b<d;b++)e+=this.OuterHTML(c.childNodes[b]);return e+="\x3c/"+c.nodeName.toLowerCase()+"\x3e"},quoteHTML:function(c){null==c&&(c="");return c.replace(/&/g,"\x26#x26;").replace(/</g,"\x26lt;").replace(/>/g,"\x26gt;").replace(/\"/g,"\x26quot;")},createPreview:function(c,e){var b=this.config.preview;"none"!==b&&("alttext"===b&&(b=c.getAttribute("alttext"),b=null!=b?[this.filterPreview(b)]:null),b&&(b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b),e.parentNode.insertBefore(b,e)))},filterPreview:function(c){return c},InitBrowser:function(){var c=MathJax.HTML.Element("span",{id:"\x3c",className:"mathjax",innerHTML:"\x3cmath\x3e\x3cmi\x3ex\x3c/mi\x3e\x3cmspace /\x3e\x3c/math\x3e"}),e=c.outerHTML||"";this.AttributeBug=""!==e&&!(e.match(/id="&lt;"/)&&e.match(/class="mathjax"/)&&e.match(/<\/math>/));this.MathTagBug=1<c.childNodes.length;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");(function(c,e,b,d,n,m,l){var q=MathJax.Extension,r=q.MathEvents={version:"2.2"},a=c.config.menuSettings,f={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"}}},k=r.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(a){return k.Handler(a,"Mousedown",this)},Mouseup:function(a){return k.Handler(a,"Mouseup",this)},Mousemove:function(a){return 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k=a.scroll_parent||document.documentElement||document.body;a.style.width=k.scrollWidth+"px";a.style.height=Math.max(k.clientHeight,k.scrollHeight)+"px"},getOverflow:window.getComputedStyle?function(a){return getComputedStyle(a).overflow}:function(a){return(a.currentStyle||{overflow:"visible"}).overflow},getBorder:function(a){var k={thin:1,medium:2,thick:3},c=window.getComputedStyle?getComputedStyle(a):a.currentStyle||{borderLeftWidth:0,borderTopWidth:0};a=c.borderLeftWidth;c=c.borderTopWidth;a=k[a]?k[a]:parseInt(a);c=k[c]?k[c]:parseInt(c);return{x:a,y:c}},getXY:function(f){var k=0,c=0,b;for(b=f;b.offsetParent;)k+=b.offsetLeft,b=b.offsetParent;a.operaPositionBug&&(f.style.border="1px solid");for(b=f;b.offsetParent;)c+=b.offsetTop,b=b.offsetParent;a.operaPositionBug&&(f.style.border="");return{x:k,y:c}},Remove:function(f){var k=document.getElementById("MathJax_ZoomFrame");if(k){var b=MathJax.OutputJax[k.previousSibling.jaxID].getJaxFromMath(k.previousSibling);c.signal.Post(["math 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m.styles["#MathJax_Zoom"].filter},Opera:function(f){a.operaPositionBug=!0;a.operaRefreshBug=!0}});a.topImg=a.msieInlineBlockAlignBug?e.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):e.Element("span",{style:{width:0,height:0,display:"inline-block"}});if(a.operaPositionBug||a.msieTopBug)a.topImg.style.border="1px solid";MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",b,m.styles],["Post",c.Startup.signal,"MathZoom Ready"],["loadComplete",b,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);(function(c,e,b,d,n){var m=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:"2.2",signal:m};var l=function(a){return 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n="left",l=f.offsetWidth,d=h.isMobile?30:l-2,g=0;f&&f!==c;)d+=f.offsetLeft,g+=f.offsetTop,f=f.parentNode;d+b.offsetWidth>document.body.offsetWidth-this.margin&&!h.isMobile&&(n="right",d=Math.max(this.margin,d-l-b.offsetWidth+6));q||(b.style["borderRadiusTop"+n]=0,b.style["WebkitBorderRadiusTop"+n]=0,b.style["MozBorderRadiusTop"+n]=0,b.style["KhtmlBorderRadiusTop"+n]=0)}else d+b.offsetWidth>document.body.offsetWidth-this.margin&&(d=document.body.offsetWidth-b.offsetWidth-this.margin),h.isMobile&&(d=Math.max(5,d-Math.floor(b.offsetWidth/2)),g-=20),h.skipUp=a.isContextMenu;b.style.left=d+"px";b.style.top=g+"px";document.selection&&document.selection.empty&&document.selection.empty();return p(a)},Remove:function(a,f){m.Post(["unpost",h.jax]);var k=document.getElementById("MathJax_MenuFrame");k&&(k.parentNode.removeChild(k),this.msieFixedPositionBug&&detachEvent("onresize",h.Resize));h.jax.hover&&(delete h.jax.hover.nofade,g.UnHover(h.jax));return p(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,k){for(var c=0,b=this.items.length;c<b;c++)if(this.items[c].name[a]===f){if(k.length){if(!this.items[c].menu)break;return this.items[c].menu.FindN(a,k[0],k.slice(1))}return this.items[c]}return null},IndexOf:function(a){return this.IndexOfN(1,a)},IndexOfId:function(a){return this.IndexOfN(0,a)},IndexOfN:function(a,f){for(var k=0,c=this.items.length;k<c;k++)if(this.items[k].name[a]===f)return k;return null}},{config:k,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,k,c){if(h.skipMouseover&&"Mouseover"===k&&!c)return p(a);if(h.skipUp){if(k.match(/Mouseup|Touchend/))return delete h.skipUp,p(a);("Touchstart"===k||"Mousedown"===k&&!h.skipMousedown)&&delete h.skipUp}a||(a=window.event);return(c=f.menuItem)&&c[k]?c[k](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=e.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(){e.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=e.Cookie.Get("menu")},getImages:function(){h.isMobile&&((new Image).src=k.closeImg)}}),t=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:p,onselectstart:p,onselectend:p,ontouchstart:h.Touchstart,ontouchend:h.Touchend,className:"MathJax_MenuItem",menuItem:this};this.disabled&&(f.className+=" MathJax_MenuDisabled");e.addElement(a,"div",f,this.Label(f,a))}},Name:function(){return l(this.name[0],this.name[1])},Mouseover:function(a,f){this.disabled||this.Activate(f);if(!this.menu||!this.menu.posted){for(var k=document.getElementById("MathJax_MenuFrame").childNodes,c=f.parentNode.childNodes,b=0,d=c.length;b<d;b++){var g=c[b].menuItem;g&&g.menu&&g.menu.posted&&g.Deactivate(c[b])}for(d=k.length-1;0<=d&&f.parentNode.menuItem!==k[d].menuItem;)k[d].menuItem.posted=!1,k[d].parentNode.removeChild(k[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,k){this!==t.lastItem&&(t.lastMenu&&h.Event(a,t.lastMenu,"Mouseout"),h.Event(a,f,"Mouseover",!0),t.lastItem=this,t.lastMenu=f);if(this.nativeTouch)return null;h.Event(a,f,k);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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c={className:"MathJax_MenuRadioCheck"};k.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,d=c.length;b<d;b++){var g=c[b].menuItem;g&&g.variable===this.variable&&(c[b].firstChild.style.display="none")}f.firstChild.display="";k.settings[this.variable]=this.value;h.cookie[this.variable]=k.settings[this.variable];h.saveCookie();m.Post(["radio button",this])}this.Remove(a,f);this.action&&!this.disabled&&this.action.call(h,this);return p(a)}});h.ITEM.CHECKBOX=h.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(a,f,k){a instanceof Array||(a=[a,a]);this.name=a;this.variable=f;this.With(k)},Label:function(a,f){var c={className:"MathJax_MenuCheck"};k.settings[this.variable]||(c={style:{display:"none"}});return[["span",c,[this.marker]]," 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inset"}},b],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:k.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:h.About.Remove}]]);MathJax.Localization.setCSS(f);a=document.documentElement||{};a=window.innerHeight||a.clientHeight||a.scrollHeight||0;h.prototype.msieAboutBug?(f.style.width="20em",f.style.position="absolute",f.style.left=Math.floor((document.documentElement.scrollWidth-f.offsetWidth)/2)+"px",f.style.top=Math.floor((a-f.offsetHeight)/3)+document.body.scrollTop+"px"):(f.style.marginLeft=Math.floor(-f.offsetWidth/2)+"px",f.style.top=Math.floor((a-f.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,k,c){var b=[],d;for(d in f)f.hasOwnProperty(d)&&f[d]&&(c&&f[d].version||f[d].isa&&f[d].isa(f))&&b.push(l(k[0],k[1],f[d].id||d,f[d].version));b.sort();f=0;for(k=b.length;f<k;f++)a.push(b[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 k=MathJax.ElementJax.mml;if(k&&"undefined"!==typeof k.mbase.prototype.toMathML)try{h.ShowSource.Text(h.jax.root.toMathML(),a)}catch(c){if(!c.restart)throw c;d.After([this,h.ShowSource,f],c.restart)}else b.loadingToMathML||(b.loadingToMathML=!0,h.ShowSource.Window(a),d.Queue(b.Require("[MathJax]/extensions/toMathML.js"),function(){delete b.loadingToMathML;k.mbase.prototype.toMathML||(k.mbase.prototype.toMathML=function(){})},[this,h.ShowSource,f]))}else"Error"===this.format?h.ShowSource.Text(h.jax.errorText,a):null==h.jax.originalText?alert(l("NoOriginalForm","No original form available")):h.ShowSource.Text(h.jax.originalText,a)};h.ShowSource.Window=function(a){if(!h.ShowSource.w){a=[];var f=k.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 k=h.ShowSource.Window(f);delete h.ShowSource.w;a=a.replace(/^\s*/,"").replace(/\s*$/,"");a=a.replace(/&/g,"\x26amp;").replace(/</g,"\x26lt;").replace(/>/g,"\x26gt;");var c=l("EqSource","MathJax Equation Source");if(h.isMobile)k.document.open(),k.document.write("\x3chtml\x3e\x3chead\x3e\x3cmeta name\x3d'viewport' content\x3d'width\x3ddevice-width, initial-scale\x3d1.0' /\x3e\x3ctitle\x3e"+c+"\x3c/title\x3e\x3c/head\x3e\x3cbody style\x3d'font-size:85%'\x3e"),k.document.write("\x3cpre\x3e"+a+"\x3c/pre\x3e"),k.document.write("\x3chr\x3e\x3cinput type\x3d'button' value\x3d'"+l("Close","Close")+"' onclick\x3d'window.close()' 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a=n["HTML-CSS"],f=n.NativeMML,k=n.SVG,b=(a||f||k||{config:{scale:100}}).config.scale,d=prompt(l("ScaleMath","Scale all mathematics (compared to surrounding text) by"),b+"%");d&&(d.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)?(d=parseFloat(d))?d!==b&&(a&&(a.config.scale=d),f&&(f.config.scale=d),k&&(k.config.scale=d),h.cookie.scale=d,h.saveCookie(),c.Reprocess()):alert(l("NonZeroScale","The scale should not be zero")):alert(l("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 f=c.outputJax["jax/mml"];if(f[0]!==k.settings.renderer){var b=c.Browser,d,g=h.Renderer.Messages,p;switch(k.settings.renderer){case "NativeMML":k.settings.warnedMML||(b.isChrome&&"24."!==b.version.substr(0,3)?d=g.MML.WebKit:b.isSafari&&!b.versionAtLeast("5.0")?d=g.MML.WebKit:b.isMSIE?b.hasMathPlayer||(d=g.MML.MSIE):d=g.MML[b],p="warnedMML");break;case "SVG":k.settings.warnedSVG||!b.isMSIE||a||(d=g.SVG.MSIE)}if(d){d=l(d[0],d[1]);d=d+"\n\n"+l("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");h.cookie.renderer=f[0].id;h.saveCookie();if(!confirm(d)){h.cookie.renderer=k.settings.renderer=e.Cookie.Get("menu").renderer;h.saveCookie();return}p&&(h.cookie.warned=k.settings.warned=!0);h.cookie.renderer=k.settings.renderer;h.saveCookie()}c.Queue(["setRenderer",c,k.settings.renderer,"jax/mml"],["Rerender",c])}};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(){n["HTML-CSS"]&&document.location.reload()};h.Locale=function(){MathJax.Localization.setLocale(k.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};h.LoadLocale=function(){var a=prompt(l("LoadURL","Load translation data from this URL:"));a&&(a.match(/\.js$/)||alert(l("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'")),b.Require(a,function(f){f!=b.STATUS.OK&&alert(l("BadData","Failed to load translation data from %1",a))}))};h.MPEvents=function(f){var c=k.settings.discoverable,b=h.MPEvents.Messages;a?!c&&"Menu Events"===f.name[1]&&k.settings.mpContext&&alert(l.apply(l,b.IE9warning)):k.settings.mpMouse&&!confirm(l.apply(l,b.IE8warning))?(delete h.cookie.mpContext,delete k.settings.mpContext,delete h.cookie.mpMouse,delete k.settings.mpMouse,h.saveCookie()):(k.settings.mpContext=k.settings.mpMouse,h.cookie.mpContext=h.cookie.mpMouse=k.settings.mpMouse,h.saveCookie(),MathJax.Hub.Queue(["Rerender",MathJax.Hub]))};h.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax 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b=d.TeXAtom(this.ParseArg(a)).With(b);this.Push(b)},MmlToken:function(a){var f=this.GetArgument(a),b=this.GetBrackets(a,"").replace(/^\s+/,"");a=this.GetArgument(a);var p={attrNames:[]},g;for(d[f]&&d[f].prototype.isToken||c.Error(["NotMathMLToken","%1 is not a token element",f]);""!==b;){(g=b.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i))||c.Error("InvalidMathMLAttr","Invalid MathML attribute: %1",b);d[f].prototype.defaults[g[1]]||this.MmlTokenAllow[g[1]]||c.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",g[1],f]);var h=this.MmlFilterAttribute(g[1],g[2].replace(/^(['"])(.*)\1$/,"$2"));h&&("true"===h.toLowerCase()?h=!0:"false"===h.toLowerCase()&&(h=!1),p[g[1]]=h,p.attrNames.push(g[1]));b=b.substr(g[0].length)}this.Push(this.mmlToken(d[f](a).With(p)))},MmlFilterAttribute:function(a,f){return f},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(a){this.Push(d.mpadded(d.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(a,f,b){a=d.mphantom(this.ParseArg(a));if(f||b)a=d.mpadded(a),b&&(a.height=a.depth=0),f&&(a.width=0);this.Push(d.TeXAtom(a))},Smash:function(a){var f=this.trimSpaces(this.GetBrackets(a,""));a=d.mpadded(this.ParseArg(a));switch(f){case "b":a.depth=0;break;case "t":a.height=0;break;default:a.height=a.depth=0}this.Push(d.TeXAtom(a))},Lap:function(a){var f=d.mpadded(this.ParseArg(a)).With({width:0});"\\llap"===a&&(f.lspace="-1 width");this.Push(d.TeXAtom(f))},RaiseLower:function(a){var f=this.GetDimen(a),b=l.position().With({name:a,move:"vertical"});"-"===f.charAt(0)&&(f=f.slice(1),a={raise:"\\lower",lower:"\\raise"}[a.substr(1)]);"\\lower"===a?(b.dh="-"+f,b.dd="+"+f):(b.dh="+"+f,b.dd="-"+f);this.Push(b)},MoveLeftRight:function(a){var f=this.GetDimen(a),b="-"===f.charAt(0)?f.slice(1):"-"+f;if("\\moveleft"===a)var c=f,f=b,b=c;this.Push(l.position().With({name:a,move:"horizontal",left:d.mspace().With({width:f,mathsize:d.SIZE.NORMAL}),right:d.mspace().With({width:b,mathsize:d.SIZE.NORMAL})}))},Hskip:function(a){this.Push(d.mspace().With({width:this.GetDimen(a),mathsize:d.SIZE.NORMAL}))},Rule:function(a,f){var b=this.GetDimen(a),c=this.GetDimen(a),g=this.GetDimen(a),h={width:b,height:c,depth:g};"blank"!==f?(parseFloat(b)&&parseFloat(c)+parseFloat(g)&&(h.mathbackground=this.stack.env.color||"black"),b=d.mpadded(d.mrow()).With(h)):b=d.mspace().With(h);this.Push(b)},MakeBig:function(a,f,b){b*=q.p_height;b=String(b).replace(/(\.\d\d\d).+/,"$1")+"em";a=this.GetDelimiter(a);this.Push(d.TeXAtom(d.mo(a).With({minsize:b,maxsize:b,fence:!0,stretchy:!0,symmetric:!0})).With({texClass:f}))},BuildRel:function(a){var f=this.ParseUpTo(a,"\\over");a=this.ParseArg(a);this.Push(d.TeXAtom(d.munderover(a,null,f)).With({mclass:d.TEXCLASS.REL}))},HBox:function(a,f){this.Push.apply(this,this.InternalMath(this.GetArgument(a),f))},FBox:function(a){this.Push(d.menclose.apply(d,this.InternalMath(this.GetArgument(a))).With({notation:"box"}))},Not:function(a){this.Push(l.not())},Dots:function(a){this.Push(l.dots().With({ldots:this.mmlToken(d.mo(d.entity("#x2026")).With({stretchy:!1})),cdots:this.mmlToken(d.mo(d.entity("#x22EF")).With({stretchy:!1}))}))},Require:function(a){a=this.GetArgument(a).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,a)},Extension:function(a,f,k){f=c.extensionDir+"/"+f;f.match(/\.js$/)||(f+=".js");b.loaded[b.fileURL(f)]||(null!=a&&delete q[k||"macros"][a.replace(/^\\/,"")],e.RestartAfter(b.Require(f)))},Macro:function(a,f,b,p){if(b){var g=[];if(null!=p){var h=this.GetBrackets(a);g.push(null==h?p:h)}for(p=g.length;p<b;p++)g.push(this.GetArgument(a));f=this.SubstituteArgs(g,f)}this.string=this.AddArgs(f,this.string.slice(this.i));this.i=0;++this.macroCount>c.config.MAXMACROS&&c.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])},Matrix:function(a,f,b,p,g,h,d,e){var n=this.GetNext();""===n&&c.Error(["MissingArgFor","Missing argument for %1",a]);"{"===n?this.i++:(this.string=n+"}"+this.string.slice(this.i+1),this.i=0);a=l.array().With({requireClose:!0,arraydef:{rowspacing:h||"4pt",columnspacing:g||"1em"}});e&&(a.isCases=!0);if(f||b)a.open=f,a.close=b;"D"===d&&(a.arraydef.displaystyle=!0);null!=p&&(a.arraydef.columnalign=p);this.Push(a)},Entry:function(a){this.Push(l.cell().With({isEntry:!0,name:a}));if(this.stack.Top().isCases){var f=this.string,b=0;a=this.i;for(var p=f.length;a<p;){var 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n=("c"+c).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");c=c.replace(/[^clr]/g,"").split("").join(" ");c=c.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");c=l.array().With({arraydef:{columnalign:c,columnspacing:g||"1em",rowspacing:h||"4pt"}});n.match(/[|:]/)&&(n.charAt(0).match(/[|:]/)&&(c.frame.push("left"),c.frame.dashed=":"===n.charAt(0)),n.charAt(n.length-1).match(/[|:]/)&&c.frame.push("right"),n=n.substr(1,n.length-2),c.arraydef.columnlines=n.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed"));f&&(c.open=this.convertDelimiter(f));b&&(c.close=this.convertDelimiter(b));"D"===d&&(c.arraydef.displaystyle=!0);"S"===d&&(c.arraydef.scriptlevel=1);e&&(c.arraydef.useHeight=!1);this.Push(a);return c},AlignedArray:function(a){var f=this.GetBrackets("\\begin{"+a.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),f)},setArrayAlign:function(a,f){f=this.trimSpaces(f||"");"t"===f?a.arraydef.align="baseline 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b=++this.i,p=1;this.i<this.string.length;)switch(this.string.charAt(this.i++)){case "\\":this.i++;break;case "{":p++;break;case "}":if(0==p&&c.Error(["ExtraClose","Extra close brace"]),0==--p)return this.string.slice(b,this.i-1)}c.Error(["MissingCloseBrace","Missing close brace"])}return this.string.charAt(this.i++)},GetBrackets:function(a,f){if("["!=this.GetNext())return f;for(var b=++this.i,p=0;this.i<this.string.length;)switch(this.string.charAt(this.i++)){case "{":p++;break;case "\\":this.i++;break;case "}":0>=p--&&c.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"]);break;case "]":if(0==p)return this.string.slice(b,this.i-1)}c.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",a])},GetDelimiter:function(a){for(;this.nextIsSpace();)this.i++;var f=this.string.charAt(this.i);if(this.i<this.string.length&&(this.i++,"\\"==f&&(f+=this.GetCS(a)),null!=q.delimiter[f]))return this.convertDelimiter(f);c.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",a])},GetDimen:function(a){var f;this.nextIsSpace()&&this.i++;if("{"==this.string.charAt(this.i)){if(f=this.GetArgument(a),f.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/))return f.replace(/ /g,"")}else if(f=this.string.slice(this.i),f=f.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/))return this.i+=f[0].length,f[1].replace(/ /g,"");c.Error(["MissingDimOrUnits","Missing dimension or its units for %1",a])},GetUpTo:function(a,f){for(;this.nextIsSpace();)this.i++;for(var b=this.i,p,g,h=0;this.i<this.string.length;){p=this.i;g=this.string.charAt(this.i++);switch(g){case "\\":g+=this.GetCS();break;case "{":h++;break;case "}":0==h&&c.Error(["ExtraCloseLooking","Extra close brace while looking for %1",f]),h--}if(0==h&&g==f)return this.string.slice(b,p)}c.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",f,a])},ParseArg:function(a){return c.Parse(this.GetArgument(a),this.stack.env).mml()},ParseUpTo:function(a,f){return c.Parse(this.GetUpTo(a,f),this.stack.env).mml()},InternalMath:function(a,f){var b={displaystyle:!1};null!=f&&(b.scriptlevel=f);this.stack.env.font&&(b.mathvariant=this.stack.env.font);if(!a.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/))return[this.InternalText(a,b)];for(var 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}else document.body.appendChild(this.EmExSpan),this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60,this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60,document.body.removeChild(this.EmExSpan)},preTranslate:function(a){a=a.jax[this.id];var b,f=a.length,c,k,e;for(b=0;b<f;b++)if(c=a[b],c.parentNode&&(this.initialized||this.InitializeMML(),(k=c.previousSibling)&&"MathJax_MathML"===k.className&&k.parentNode.removeChild(k),k=c.MathJax.elementJax))e=k.root,k.NativeMML={},e="block"===e.Get("display")?"div":"span",k=d.Element(e,{className:"MathJax_MathML",id:k.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:!0,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:!0,style:{display:"inline-block"}}]]]]),c.parentNode.insertBefore(k,c),m||c.parentNode.insertBefore(this.EmExSpan.cloneNode(!0),c);for(b=0;b<f;b++)if(c=a[b],c.parentNode&&(k=c.MathJax.elementJax)){if(m)e=100;else{e=c.previousSibling;c=e.firstChild.offsetWidth/60;e=e.lastChild.offsetWidth/60;if(0===c||"NaN"===c)c=this.defaultEx,e=this.defaultMEx;e=(1<e?c/e:1)*this.config.scale;e=Math.floor(Math.max(this.config.minScaleAdjust/100,e));k.NativeMML.ex=c}k.NativeMML.fontSize=e+"%"}if(!m)for(b=0;b<f;b++)c=a[b],c.parentNode&&c.MathJax.elementJax&&(e=a[b].previousSibling,e.parentNode.removeChild(e))},Translate:function(a){if(a.parentNode){a=a.MathJax.elementJax;var b=a.root,f=document.getElementById(a.inputID+"-Frame"),c=f.firstChild,k=c.firstChild;f.style.fontSize=a.NativeMML.fontSize;this.ex=a.NativeMML.ex||this.defaultEx;try{b.toNativeMML(k)}catch(d){if(d.restart)for(;k.firstChild;)k.removeChild(k.firstChild);throw d;}if(m)if(c.addEventListener)for(var H in this.MSIE9events)this.MSIE9events.hasOwnProperty(H)&&c.addEventListener(H,this.MSIE9event,!0);else!(null!=this.config.showMathMenuMSIE?this:e).config.showMathMenuMSIE||this.settings.mpContext||this.settings.mpMouse?(c.style.position="",k.firstChild.onmousedown=this.MSIEaltMenu):this.MSIEoverlay(c);else 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b=window.event,f=c.MSIEevents[b.type];if(c[f]&&!1===c[f](b,this)||a&&!1===a.HandleEvent(b,f,this))return!1;"MathJax_MathPlayer_Overlay"===b.srcElement.className&&this.msieMath.fireEvent&&("ContextMenu"!==f&&"Mouseover"!==f&&"Mouseout"!==f||this.msieMath.fireEvent("on"+b.type,b));return l.False(b)},MSIEaltMenu:function(){for(var a=this.parentNode.parentNode;!a.jaxID;)a=a.parentNode;l.AltContextMenu(window.event,a)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(a){return"contextmenu"===a.type&&c.settings.mpContext||"mouseup"===a.type&&c.settings.mpMouse?!0:"click"===a.type&&c.settings.mpContext?l.AltContextMenu(a,this):l[c.MSIE9events[a.type]].call(this,a)},getJaxFromMath:function(a){a=a.parentNode;do a=a.nextSibling;while(a&&"script"!==a.nodeName.toLowerCase());return e.getJaxFor(a)},getHoverSpan:function(a,b){return b.firstChild},getHoverBBox:function(a,b,f){return l.getBBox(b.parentNode)},Zoom:function(a,b,f,k,d){a.root.toNativeMML(b);this.msieIE8HeightBug&&(b.style.position="absolute");a=f.offsetWidth||f.scrollWidth;f=f.offsetHeight||f.scrollHeight;k=b.offsetWidth;d=b.offsetHeight;if(c.widthBug){var e=b.firstChild.firstChild.scrollWidth;e>k&&(k=e,b.style.width=k+"px")}this.msieIE8HeightBug&&(b.style.position="");return{Y:-l.getBBox(b.parentNode).h,mW:a,mH:f,zW:k,zH:d}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){n=MathJax.ElementJax.mml;n.mbase.Augment({toNativeMML:function(a){var b=this.NativeMMLelement(this.type);this.NativeMMLattributes(b);for(var 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k=this.NativeMMLelement("mfenced");this.NativeMMLattributes(k);b=0;f=this.data.length;this.open&&(k.setAttribute("open",this.open),b++);this.close&&(k.setAttribute("close",this.close),f--);var g=k;1<f-b+1&&(g=this.NativeMMLelement("mrow"),a.appendChild(k),a=k);for(;b<f;b++)this.data[b]?this.data[b].toNativeMML(g):g.appendChild(this.NativeMMLelement("mrow"));a.appendChild(g)}else this.SUPER(arguments).toNativeMML.call(this,a)}});n.msubsup.Augment({toNativeMML:function(a){var b=this.type;null==this.data[this.sup]&&(b="msub");null==this.data[this.sub]&&(b="msup");b=this.NativeMMLelement(b);this.NativeMMLattributes(b);delete this.data[0].inferred;for(var f=0,c=this.data.length;f<c;f++)this.data[f]&&this.data[f].toNativeMML(b);a.appendChild(b)}});n.munderover.Augment({toNativeMML:function(a){var b=this.type;null==this.data[this.under]&&(b="mover");null==this.data[this.over]&&(b="munder");b=this.NativeMMLelement(b);this.NativeMMLattributes(b);delete this.data[0].inferred;for(var f=0,c=this.data.length;f<c;f++)this.data[f]&&this.data[f].toNativeMML(b);a.appendChild(b)}});if(!m){var a=MathJax.Hub.SplitList;n.mtable.Augment({toNativeMML:function(b){var f,k;if(c.tableSpacingBug){f=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=a("0px "+f.rowspacing);this.nMMLleftPadding=a("0px "+f.columnspacing);var g=this.nMMLtopPadding,d=g.length;f=0;for(k=this.data.length;f<k;f++)this.data[f]&&(this.data[f].nMMLtopPadding=g[f<d?f:d-1])}if(c.tableLabelBug)for(f=0,k=this.data.length;f<k;f++)if(this.data[f]&&this.data[f].isa(n.mlabeledtr)){var l=e.config.displayAlign.charAt(0),m=this.Get("side").charAt(0);this.nMMLhasLabels=!0;this.nMMLlaMatch=l===m;this.nMMLforceWidth="c"===l||!!(this.width||"").match("%");break}this.width&&this.ffTableWidthBug&&(f=(this.style||"").replace(/;\s*$/,"").split(";"),""===f[0]&&f.shift(),f.push("width:"+this.width),this.style=f.join(";"));this.SUPER(arguments).toNativeMML.call(this,b);if(this.nMMLhasLabels){f=b.firstChild;if(this.nMMLforceWidth||"r"!==m)if(l=("l"!==l?1:0)+("l"===m?1:0)){var m={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"},q;for(q in m)m.hasOwnProperty(q)&&this[q]&&(k=[m[q],m[q]].slice(2-l).join(" ")+" ",f.setAttribute(q,k+f.getAttribute(q)))}!this.nMMLforceWidth&&this.nMMLlaMatch||f.setAttribute("width","100%")}}});n.mtr.Augment({toNativeMML:function(a){this.SUPER(arguments).toNativeMML.call(this,a);var b=a.lastChild;if(c.tableSpacingBug)for(var g=this.parent.nMMLleftPadding,d=g.length,p=b.firstChild,l=0;p;p=p.nextSibling,l++)k(p,this.nMMLtopPadding,g[l<d?l:d-1]);if(c.tableLabelBug&&(g=this.parent.nMMLforceWidth,d=this.parent.Get("side").charAt(0),p=e.config.displayAlign.charAt(0),this.parent.nMMLhasLabels&&b.firstChild)){if(g||"r"!==d)f("Left",b.firstChild),"l"!==p&&b.insertBefore(this.NativeMMLelement("mtd"),b.firstChild).setAttribute("style","padding:0"),"l"===d&&b.insertBefore(this.NativeMMLelement("mtd"),b.firstChild).setAttribute("style","padding:0");(g||"l"!==d)&&f("Right",b.lastChild)}}});n.mlabeledtr.Augment({toNativeMML:function(a){var b=this.NativeMMLelement("mtr");this.NativeMMLattributes(b);for(var g=1,d=this.data.length;g<d;g++)this.data[g]?this.data[g].toNativeMML(b):b.appendChild(this.NativeMMLelement("mtd"));if(c.tableSpacingBug)for(var d=this.parent.nMMLleftPadding,p=d.length,g=0,l=b.firstChild;l;l=l.nextSibling,g++)k(l,this.nMMLtopPadding,d[g<p?g:p-1]);if(c.tableLabelBug){var g=this.parent.Get("side").charAt(0),d=e.config.displayAlign.charAt(0),m=e.config.displayIndent;this.data[0].toNativeMML(b);l=p=b.lastChild;g===d?(p.setAttribute("style","width:"+m),p.setAttribute("columnalign",e.config.displayAlign)):(l=this.NativeMMLelement("mpadded"),l.setAttribute("style","width:0"),l.setAttribute("width","0px"),l.appendChild(p.firstChild),p.appendChild(l));f("",p);b.removeChild(p);var m=100,n=this.parent.nMMLforceWidth;(this.parent.width||"").match(/%/)&&(m-=parseFloat(this.parent.width));var q=m;if(n||"r"!==g)f("Left",b.firstChild),"l"!==d&&("c"===d&&(q/=2),m-=q,b.insertBefore(this.NativeMMLelement("mtd"),b.firstChild).setAttribute("style","padding:0;width:"+q+"%")),"l"===g&&b.insertBefore(p,b.firstChild);if(n||"l"!==g)f("Right",b.lastChild),"r"!==d&&b.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+m+"%"),"r"===g&&(g!==d&&l.setAttribute("lspace","-1width"),b.appendChild(p))}a.appendChild(b)}});n.mtd.Augment({toNativeMML:function(a){a=a.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(a);c.widthBug&&(a=a.appendChild(this.NativeMMLelement("mrow")));for(var b=0,f=this.data.length;b<f;b++)this.data[b]?this.data[b].toNativeMML(a):a.appendChild(this.NativeMMLelement("mrow"))}});n.mspace.Augment({toNativeMML:function(a){this.SUPER(arguments).toNativeMML.call(this,a);if(c.spaceWidthBug&&this.width){var b=a.lastChild,f=b.getAttribute("width"),k=b.getAttribute("style")||"";""!=k&&(k+=";");b.setAttribute("style",k+"width:"+f)}}});var b=MathJax.Ajax.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");c.Augment({config:{styles:{'[mathvariant\x3d"double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant\x3d"script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant\x3d"fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant\x3d"bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant\x3d"bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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k=0,g=this.data.length;k<g;k++)this.data[k]?this.data[k].toNativeMML(b):b.appendChild(this.NativeMMLelement("mrow"));k=(this.data[0]||[]).data[0]||{};if(k.nMMLhasLabels){if(k.nMMLforceWidth||!k.nMMLlaMatch)b.setAttribute("style","width:100%"),a.style.width=a.parentNode.style.width="100%";k.nMMLlaMatch&&"div"===a.parentNode.parentNode.nodeName.toLowerCase()&&a.parentNode.parentNode.style.setProperty("margin-"+e.config.displayAlign,"0px","important")}a.appendChild(f);c.widthBug&&!k.nMMLforceWidth&&k.nMMLlaMatch&&(a.style.width=(f.firstChild.scrollWidth/c.ex).toFixed(3)+"ex")}});n.mfenced.Augment({toNativeMML:function(a){if(c.mfencedBug){var b=e.Browser.isOpera,f,k,g,d=this.getValues("open","close","separators");d.open=d.open.replace(/^\s+/,"").replace(/\s+$/,"");d.close=d.close.replace(/^\s+/,"").replace(/\s+$/,"");d.separators=d.separators.replace(/\s+/g,"").split("");if(0==d.separators.length)d.separators=null;else if(d.separators.length<this.data.length-1)for(k=d.separators[d.separators.length-1],f=this.data.length-1-d.separators.length;0<f;f--)d.separators.push(k);var p=this.NativeMMLelement(b?this.type:"mrow");this.NativeMMLattributes(p);p.removeAttribute("separators");b?(p.setAttribute("open",d.open),p.setAttribute("close",d.close),1<this.data.length&&(a.appendChild(p),a=p,p=this.NativeMMLelement("mrow"))):(p.removeAttribute("open"),p.removeAttribute("close"));b||(g=this.NativeMMLelement("mo"),g.setAttribute("fence","true"),g.textContent=d.open,p.appendChild(g));f=0;for(k=this.data.length;f<k;f++)d.separators&&0<f&&(g=this.NativeMMLelement("mo"),g.setAttribute("separator","true"),g.textContent=d.separators[f-1],p.appendChild(g)),this.data[f]?this.data[f].toNativeMML(p):p.appendChild(this.NativeMMLelement("mrow"));b||(g=this.NativeMMLelement("mo"),g.setAttribute("fence","true"),g.textContent=d.close,p.appendChild(g));a.appendChild(p)}else this.SUPER(arguments).toNativeMML.call(this,a)}});n.TeXAtom.Augment({toNativeMML:function(a){var b=this.NativeMMLelement("mrow");this.NativeMMLattributes(b);this.data[0].toNativeMML(b);a.appendChild(b)}});n.chars.Augment({toNativeMML:function(a){a.appendChild(document.createTextNode(this.toString()))}});n.entity.Augment({toNativeMML:function(a){a.appendChild(document.createTextNode(this.toString()))}});n.xml.Augment({toNativeMML:function(a){for(var b=0,f=this.data.length;b<f;b++)a.appendChild(this.data[b].cloneNode(!0))}});e.Register.StartupHook("TeX mathchoice Ready",function(){n.TeXmathchoice.Augment({toNativeMML:function(a){this.Core().toNativeMML(a)}})});setTimeout(MathJax.Callback(["loadComplete",c,"jax.js"]),0)});e.Browser.Select({MSIE:function(a){c.msieIE8HeightBug=8===(document.documentMode||0)},Opera:function(a){c.operaPositionBug=!0;c.stretchyMoBug=!0;c.tableLabelBug=!0;c.mfencedBug=!0},Firefox:function(a){c.ffTableWidthBug=!a.versionAtLeast("13.0");c.forceReflow=!0;c.widthBug=!0;c.spaceWidthBug=!a.versionAtLeast("20.0");c.tableSpacingBug=!0;c.tableLabelBug=!0;c.mfencedBug=!0},Chrome:function(a){c.tableSpacingBug=!0;c.tableLabelBug=!0;c.mfencedBug=!0},Safari:function(a){c.tableSpacingBug=!0;c.tableLabelBug=!0;c.mfencedBug=!0}});e.Register.StartupHook("End Cookie",function(){"None"!==e.config.menuSettings.zoom&&b.Require("[MathJax]/extensions/MathZoom.js")})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);(function(c,e,b){var d,n=function(){var a=[].slice.call(arguments,0);a[0][0]=["HTML-CSS",a[0][0]];return MathJax.Message.Set.apply(MathJax.Message,a)},m=MathJax.Object.Subclass({timeout:1E3*(e.Browser.isMobile?15:8),FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:"sans-serif monospace script Times Courier Arial Helvetica".split(" "),testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(a,b){if(b&&this.testCollection(b))return b;for(var c=0,d=a.length;c<d;c++)if(a[c]!==b&&this.testCollection(a[c]))return a[c];return null},testCollection:function(a){return this.testFont(this.FontInfo[a])},testFont:function(a){a.isWebFont&&b.FontFaceBug?this.div.style.fontWeight=this.div.style.fontStyle="normal":(this.div.style.fontWeight=a.weight||"normal",this.div.style.fontStyle=a.style||"normal");var f=this.getComparisonWidths(a.testString,a.noStyleChar);if(f){this.div.style.fontFamily="'"+a.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==f[0]&&(this.div.style.fontFamily="'"+a.family+"',"+this.comparisonFont[f[2]],this.div.offsetWidth==f[1]))return!1;if(this.div.offsetWidth!=f[3]||this.div.offsetHeight!=f[4]){if(a.noStyleChar||!b.FONTDATA||!b.FONTDATA.hasStyleChar)return!0;for(var f=0,c=this.testSize.length;f<c;f++)if(this.testStyleChar(a,this.testSize[f]))return!0}}return!1},styleChar:"\ueffd",versionChar:"\ueffe",compChar:"\uefff",testStyleChar:function(a,f){var c=3+(a.weight?2:0)+(a.style?4:0),d="",g=0,h=this.div.style.fontSize;this.div.style.fontSize=f;b.msieItalicWidthBug&&"italic"===a.style&&(this.text.nodeValue=d=this.compChar,g=this.div.offsetWidth);b.safariTextNodeBug?this.div.innerHTML=this.compChar+d:this.text.nodeValue=this.compChar+d;var e=this.div.offsetWidth-g;b.safariTextNodeBug?this.div.innerHTML=this.styleChar+d:this.text.nodeValue=this.styleChar+d;var l=Math.floor((this.div.offsetWidth-g)/e+.5);l===c&&(b.safariTextNodeBug?this.div.innerHTML=this.versionChar+d:this.text.nodeValue=this.versionChar+d,a.version=Math.floor((this.div.offsetWidth-g)/e+1.5)/2);this.div.style.fontSize=h;return l===c},getComparisonWidths:function(a,f){b.FONTDATA&&b.FONTDATA.hasStyleChar&&!f&&(a+=this.styleChar+" "+this.compChar);b.safariTextNodeBug?this.div.innerHTML=a:this.text.nodeValue=a;this.div.style.fontFamily=this.comparisonFont[0];var c=this.div.offsetWidth;this.div.style.fontFamily=b.webFontDefault;for(var d=this.div.offsetWidth,g=this.div.offsetHeight,h=1,e=this.comparisonFont.length;h<e;h++)if(this.div.style.fontFamily=this.comparisonFont[h],this.div.offsetWidth!=c)return[c,this.div.offsetWidth,h,d,g];return null},loadWebFont:function(a){e.Startup.signal.Post("HTML-CSS Jax - Web-Font "+b.fontInUse+"/"+a.directory);var f=n(["LoadWebFont","Loading web-font %1",b.fontInUse+"/"+a.directory]),k=MathJax.Callback({}),f=MathJax.Callback(["loadComplete",this,a,f,k]);c.timer.start(c,[this.checkWebFont,a,f],0,this.timeout);return k},loadComplete:function(a,f,k,d){MathJax.Message.Clear(f);d===c.STATUS.OK?(this.webFontLoaded=!0,k()):(this.loadError(a),e.Browser.isFirefox&&b.allowWebFonts&&(f=document.location.protocol+"//"+document.location.hostname,""!=document.location.port&&(f+=":"+document.location.port),f+="/",c.fileURL(b.webfontDir).substr(0,f.length)!==f&&this.firefoxFontError(a)),this.webFontLoaded?k():b.loadWebFontError(a,k))},loadError:function(a){n(["CantLoadWebFont","Can't load web font %1",b.fontInUse+"/"+a.directory],null,2E3);e.Startup.signal.Post(["HTML-CSS Jax - web font error",b.fontInUse+"/"+a.directory,a])},firefoxFontError:function(a){n(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3E3);e.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(a,f,c){a.time(c)||(b.Font.testFont(f)?c(a.STATUS.OK):setTimeout(a,a.delay))},fontFace:function(a){var f=b.allowWebFonts,k=b.FONTDATA.FONTS[a];b.msieFontCSSBug&&!k.family.match(/-Web$/)&&(k.family+="-Web");var d=c.fileURL(b.webfontDir+"/"+f),g=a.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");g.match(/-/)||(g+="-Regular");var g="svg"===f?g+(".svg#"+g):g+("."+f),h={"font-family":k.family,src:"url('"+d+"/"+g+"')"};"otf"===f?(h.src+=" format('opentype')",d=c.fileURL(b.webfontDir+"/woff"),h.src="url('"+d+"/"+g.replace(/otf$/,"woff")+"') format('woff'), "+h.src):"eot"!==f&&(h.src+=" format('"+f+"')");b.FontFaceBug&&k.isWebFont||(a.match(/-bold/)&&(h["font-weight"]="bold"),a.match(/-italic/)&&(h["font-style"]="italic"));return h}}),l,q,r;b.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity\x3d0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:e.config.menuSettings,hideProcessedMath:!0,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1E3,Config:function(){this.require||(this.require=[]);this.Font=m();this.SUPER(arguments).Config.call(this);var a=this.settings;this.adjustAvailableFonts&&this.adjustAvailableFonts(this.config.availableFonts);a.scale&&(this.config.scale=a.scale);a.font&&"Auto"!==a.font&&("TeX (local)"===a.font?(this.config.availableFonts=["TeX"],this.config.preferredFont=this.config.webFont="TeX"):"STIX (local)"===a.font?(this.config.availableFonts=["STIX"],this.config.preferredFont="STIX",this.config.webFont="TeX"):"TeX (web)"===a.font?(this.config.availableFonts=[],this.config.preferredFont="",this.config.webFont="TeX"):"TeX (image)"===a.font&&(this.config.availableFonts=[],this.config.preferredFont=this.config.webFont=""));a=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);!a&&this.allowWebFonts&&(a=this.config.webFont)&&(this.webFonts=!0);!a&&this.config.imageFont&&(a=this.config.imageFont,this.imgFonts=!0);a?(this.fontInUse=a,this.fontDir+="/"+a,this.webfontDir+="/"+a,this.require.push(this.fontDir+"/fontdata.js"),this.imgFonts&&(this.require.push(this.directory+"/imageFonts.js"),e.Startup.signal.Post("HTML-CSS Jax - using image fonts"))):(n(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3E3),this.fontInUse="generic",this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:.8,lineD:.2,ffLineH:.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{fonts:[]},"-largeOp":{fonts:[]},"-smallOp":{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},e.Startup.signal.Post("HTML-CSS Jax - no valid font"));this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){l=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;r=MathJax.Extension.MathEvents.Hover;this.ContextMenu=l.ContextMenu;this.Mousedown=l.AltContextMenu;this.Mouseover=r.Mouseover;this.Mouseout=r.Mouseout;this.Mousemove=r.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});document.body.firstChild?document.body.insertBefore(this.hiddenDiv,document.body.firstChild):document.body.appendChild(this.hiddenDiv);this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var a=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=a.offsetWidth/5;this.hiddenDiv.removeChild(a);this.startMarker=this.createStrut(this.Element("span"),10,!0);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");this.operaHeightBug&&this.createStrut(this.HDspan,0);if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(b){}}else this.HDimg=this.createStrut(this.HDspan,0);this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return c.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(a){for(var b=0,c=a.length;b<c;b++)"STIX"===a[b]&&(a.splice(b,1),c--,b--);"STIX"===this.config.preferredFont&&(this.config.preferredFont=a[0])},PreloadWebFonts:function(){if(b.allowWebFonts&&b.config.preloadWebFonts)for(var a=0,f=b.config.preloadWebFonts.length;a<f;a++){var c=b.FONTDATA.FONTS[b.config.preloadWebFonts[a]];c.available||b.Font.testFont(c)}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(a){var b=a.jax[this.id],c,d=b.length,g,h,t,m,n,z,r=!1,u=this.config.linebreaks.automatic,v=this.config.linebreaks.width;u?((r=null!=v.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/))?v=v.replace(/\s*container\s*/,""):z=this.defaultWidth,""===v&&(v="100%")):z=1E5;for(c=0;c<d;c++)if(g=b[c],g.parentNode&&((h=g.previousSibling)&&String(h.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)&&h.parentNode.removeChild(h),h=g.MathJax.elementJax))h.HTMLCSS={display:"block"===h.root.Get("display")},t=m=this.Element("span",{className:"MathJax",id:h.inputID+"-Frame",isMathJax:!0,jaxID:this.id,oncontextmenu:l.Menu,onmousedown:l.Mousedown,onmouseover:l.Mouseover,onmouseout:l.Mouseout,onmousemove:l.Mousemove,onclick:l.Click,ondblclick:l.DblClick}),e.Browser.noContextMenu&&(t.ontouchstart=q.start,t.ontouchend=q.end),h.HTMLCSS.display?(m=this.Element("div",{className:"MathJax_Display"}),m.appendChild(t)):this.msieDisappearingBug&&(t.style.display="inline-block"),m.setAttribute("role","textbox"),m.setAttribute("aria-readonly","true"),m.className+=" MathJax_Processing",g.parentNode.insertBefore(m,g),g.parentNode.insertBefore(this.EmExSpan.cloneNode(!0),g),r&&m.parentNode.insertBefore(this.linebreakSpan.cloneNode(!0),m);for(c=0;c<d;c++)if(g=b[c],g.parentNode&&(n=g.previousSibling,m=n.previousSibling,h=g.MathJax.elementJax)){g=n.firstChild.offsetHeight/60;n=n.lastChild.firstChild.offsetHeight/60;r&&(z=m.previousSibling.firstChild.offsetWidth);if(0===g||"NaN"===g)this.hiddenDiv.appendChild(m),h.HTMLCSS.isHidden=!0,g=this.defaultEx,n=this.defaultEm,r&&(z=this.defaultWidth);m=Math.floor(Math.max(this.config.minScaleAdjust/100,g/this.TeX.x_height/n)*this.config.scale);h.HTMLCSS.scale=m/100;h.HTMLCSS.fontSize=m+"%";h.HTMLCSS.em=h.HTMLCSS.outerEm=n;this.em=n*m/100;h.HTMLCSS.ex=g;h.HTMLCSS.lineWidth=u?this.length2em(v,1,z/this.em):1E6}for(c=0;c<d;c++)if(g=b[c],g.parentNode&&(n=b[c].previousSibling,h=b[c].MathJax.elementJax))r&&(t=n.previousSibling,h.HTMLCSS.isHidden||(t=t.previousSibling),t.parentNode.removeChild(t)),n.parentNode.removeChild(n);a.HTMLCSSeqn=a.HTMLCSSlast=0;a.HTMLCSSi=-1;a.HTMLCSSchunk=this.config.EqnChunk;a.HTMLCSSdelay=!1},Translate:function(a,b){if(a.parentNode){b.HTMLCSSdelay&&(b.HTMLCSSdelay=!1,e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay)));var c=a.MathJax.elementJax,p=c.root,g=document.getElementById(c.inputID+"-Frame"),h=c.HTMLCSS.display?g.parentNode:g;this.em=d.mbase.prototype.em=c.HTMLCSS.em*c.HTMLCSS.scale;this.outerEm=c.HTMLCSS.em;this.scale=c.HTMLCSS.scale;this.linebreakWidth=c.HTMLCSS.lineWidth;g.style.fontSize=c.HTMLCSS.fontSize;this.initImg(g);this.initHTML(p,g);p.setTeXclass();try{p.toHTML(g,h)}catch(t){if(t.restart)for(;g.firstChild;)g.removeChild(g.firstChild);throw t;}c.HTMLCSS.isHidden&&a.parentNode.insertBefore(h,a);h.className=h.className.split(/ /)[0];this.hideProcessedMath&&(h.className+=" MathJax_Processed",a.MathJax.preview&&(c.HTMLCSS.preview=a.MathJax.preview,delete a.MathJax.preview),b.HTMLCSSeqn+=b.i-b.HTMLCSSi,b.HTMLCSSi=b.i,b.HTMLCSSeqn>=b.HTMLCSSlast+b.HTMLCSSchunk&&(this.postTranslate(b),b.HTMLCSSchunk=Math.floor(b.HTMLCSSchunk*this.config.EqnChunkFactor),b.HTMLCSSdelay=!0))}},postTranslate:function(a){var b=a.jax[this.id];if(this.hideProcessedMath){for(var c=a.HTMLCSSlast,d=a.HTMLCSSeqn;c<d;c++){var g=b[c];if(g&&g.MathJax.elementJax){g.previousSibling.className=g.previousSibling.className.split(/ /)[0];var h=g.MathJax.elementJax.HTMLCSS;h.preview&&(h.preview.innerHTML="",g.MathJax.preview=h.preview,delete h.preview)}}this.forceReflow&&(b=(document.styleSheets||[])[0]||{},b.disabled=!0,b.disabled=!1);a.HTMLCSSlast=a.HTMLCSSeqn}},getJaxFromMath:function(a){"MathJax_Display"===a.parentNode.className&&(a=a.parentNode);do a=a.nextSibling;while(a&&"script"!==a.nodeName.toLowerCase());return e.getJaxFor(a)},getHoverSpan:function(a,b){return a.root.HTMLspanElement()},getHoverBBox:function(a,b,c){b=b.bbox;a=a.HTMLCSS.outerEm;a={w:b.w*a,h:b.h*a,d:b.d*a};b.width&&(a.width=b.width);return a},Zoom:function(a,f,c,e,g){f.className="MathJax";f.style.fontSize=a.HTMLCSS.fontSize;g=f.appendChild(this.EmExSpan.cloneNode(!0));var h=g.lastChild.firstChild.offsetHeight/60;this.em=d.mbase.prototype.em=h;this.outerEm=h/a.HTMLCSS.scale;g.parentNode.removeChild(g);this.idPostfix="-zoom";a.root.toHTML(f,f);this.idPostfix="";if(g=a.root.HTMLspanElement().bbox.width){f.style.width=Math.floor(e-1.5*b.em)+"px";f.style.display="inline-block";for(a=document.getElementById((a.root.id||"MathJax-Span-"+a.root.spanID)+"-zoom").firstChild;a&&a.style.width!==g;)a=a.nextSibling;a&&(a.style.width="100%")}f.style.position="absolute";g||(c.style.position="absolute");a=f.offsetWidth;e=f.offsetHeight;g=c.offsetHeight;h=c.offsetWidth;0===h&&(h=c.parentNode.offsetWidth);f.style.position=c.style.position="";return{Y:-l.getBBox(f).h,mW:h,mH:g,zW:a,zH:e}},initImg:function(a){},initHTML:function(a,b){},initFont:function(a){var f=b.FONTDATA.FONTS,k=b.config.availableFonts;if(k&&k.length&&b.Font.testFont(f[a]))return f[a].available=!0,null;if(!this.allowWebFonts)return null;f[a].isWebFont=!0;b.FontFaceBug&&(f[a].family=a,b.msieFontCSSBug&&(f[a].family+="-Web"));return c.Styles({"@font-face":this.Font.fontFace(a)})},Remove:function(a){var b=document.getElementById(a.inputID+"-Frame");b&&(a.HTMLCSS.display&&(b=b.parentNode),b.parentNode.removeChild(b));delete a.HTMLCSS},getHD:function(a){var b=a.style.position;a.style.position="absolute";this.HDimg.style.height="0px";a.appendChild(this.HDspan);var c={h:a.offsetHeight};this.HDimg.style.height=c.h+"px";c.d=a.offsetHeight-c.h;c.h-=c.d;c.h/=this.em;c.d/=this.em;a.removeChild(this.HDspan);a.style.position=b;return c},getW:function(a){var b,c;b=(a.bbox||{}).w;var d=a;if(a.bbox&&a.bbox.exactW)return b;if(a.bbox&&0<=b&&!this.initialSkipBug||this.negativeBBoxes||!a.firstChild)b=a.offsetWidth,c=a.parentNode.offsetHeight;else if(a.bbox&&0>b&&this.msieNegativeBBoxBug)b=-a.offsetWidth,c=a.parentNode.offsetHeight;else{if(this.initialSkipBug){var g=a.style.position;a.style.position="absolute";d=this.startMarker;a.insertBefore(d,a.firstChild)}a.appendChild(this.endMarker);b=this.endMarker.offsetLeft-d.offsetLeft;a.removeChild(this.endMarker);this.initialSkipBug&&(a.removeChild(d),a.style.position=g)}null!=c&&(a.parentNode.HH=c/this.em);return b/this.em},Measured:function(a,b){var c=a.bbox;if(null==c.width&&c.w&&!c.isMultiline){var d=this.getW(a);c.rw+=d-c.w;c.w=d;c.exactW=!0}b||(b=a.parentNode);b.bbox||(b.bbox=c);return a},Remeasured:function(a,b){b.bbox=this.Measured(a,b).bbox},MeasureSpans:function(a){var b=[],c,d,g,h,e;d=0;for(g=a.length;d<g;d++)if(c=a[d])h=c.bbox,e=this.parentNode(c),h.exactW||h.width||0===h.w||h.isMultiline?e.bbox||(e.bbox=h):this.negativeBBoxes||!c.firstChild||0<=h.w&&!this.initialSkipBug||0>h.w&&this.msieNegativeBBoxBug?b.push([c]):this.initialSkipBug?(h=this.startMarker.cloneNode(!0),e=this.endMarker.cloneNode(!0),c.insertBefore(h,c.firstChild),c.appendChild(e),b.push([c,h,e,c.style.position]),c.style.position="absolute"):(e=this.endMarker.cloneNode(!0),c.appendChild(e),b.push([c,null,e]));d=0;for(g=b.length;d<g;d++)c=b[d][0],h=c.bbox,e=this.parentNode(c),0<=h.w&&!this.initialSkipBug||this.negativeBBoxes||!c.firstChild?(a=c.offsetWidth,e.HH=e.offsetHeight/this.em):0>h.w&&this.msieNegativeBBoxBug?(a=-c.offsetWidth,e.HH=e.offsetHeight/this.em):a=b[d][2].offsetLeft-((b[d][1]||{}).offsetLeft||0),a/=this.em,h.rw+=a-h.w,h.w=a,h.exactW=!0,e.bbox||(e.bbox=h);d=0;for(g=b.length;d<g;d++)c=b[d],c[1]&&(c[1].parentNode.removeChild(c[1]),c[0].style.position=c[3]),c[2]&&c[2].parentNode.removeChild(c[2])},Em:function(a){return 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t=this.Em(c+k),l=this.Em(-k);this.msieInlineBlockAlignBug&&(l=this.Em(b.getHD(a.parentNode).d-k));a.isBox||h?(h=null==a.scale?1:a.scale,a.bbox={exactW:!0,h:c*h,d:k*h,w:e*h,rw:e*h,lw:0},a.style.height=t,a.style.verticalAlign=l,a.HH=(c+k)*h):a=this.addElement(a,"span",{style:{height:t,verticalAlign:l},isMathJax:!0});0<=e?(a.style.width=this.Em(e),a.style.display="inline-block",a.style.overflow="hidden"):(this.msieNegativeSpaceBug&&(a.style.height=""),a.style.marginLeft=this.Em(e),b.safariNegativeSpaceBug&&a.parentNode.firstChild==a&&this.createBlank(a,0,!0));g&&g!==d.COLOR.TRANSPARENT&&(a.style.backgroundColor=g,a.style.position="relative");return a},createRule:function(a,c,k,d,g){c<-k&&(k=-c);var h=b.TeX.min_rule_thickness,e=1;0<d&&d*this.em<h&&(d=h/this.em);0<c+k&&(c+k)*this.em<h&&(e=1/(c+k)*(h/this.em),c*=e,k*=e);g=g?"solid "+g:"solid";g=this.Em(d)+" 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d=String(c).match(/%$/),g=d||null==c?0:c;a=this.addElement(a,"span",{noAdjust:!0,HH:0,isMathJax:!0,style:{display:"inline-block",position:"relative",width:d?"100%":this.Em(g),height:0}});b||(a.parentNode.bbox=a.bbox={exactW:!0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:g,lw:this.BIGDIMEN,rw:d||null==c?-this.BIGDIMEN:c},d&&(a.bbox.width=c));return a},createBox:function(a,b){var c=this.addElement(a,"span",{style:{position:"absolute"},isBox:!0,isMathJax:!0});null!=b&&(c.style.width=b);return c},addBox:function(a,b){b.style.position="absolute";b.isBox=b.isMathJax=!0;return a.appendChild(b)},placeBox:function(a,c,d,e){a.isMathJax=!0;var g=b.parentNode(a),h=a.bbox,t=g.bbox;this.msiePlaceBoxBug&&this.addText(a,this.NBSP);this.imgSpaceBug&&this.addText(a,this.imgSpace);var l,m=0;l=null!=a.HH?a.HH:h?Math.max(3,h.h+h.d):a.offsetHeight/this.em;a.noAdjust||(l=Math.round((l+1)*this.em)/this.em,this.msieInlineBlockAlignBug?this.addElement(a,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:!0,style:{width:0,height:this.Em(l)}}):(this.addElement(a,"span",{isMathJax:!0,style:{display:"inline-block",width:0,height:this.Em(l)}}),b.chromeHeightBug&&(l-=(a.lastChild.offsetHeight-Math.round(l*this.em))/this.em)));if(h&&(this.initialSkipBug&&(0>h.lw&&(m=h.lw,b.createBlank(a,-m,!0)),h.rw>h.w&&b.createBlank(a,h.rw-h.w+.1)),!this.msieClipRectBug&&!h.noclip&&!e)){e=3/this.em;var n=null==h.H?h.h:h.H,q=l+(null==h.D?h.d:h.D)+e,r=h.lw-3*e,v=1E3;this.initialSkipBug&&0>h.lw&&(r=-3*e);h.isFixed&&(v=h.width-r);a.style.clip="rect("+this.Em(l-n-e)+" "+this.Em(v)+" "+this.Em(q)+" 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c=a.bbox;c&&(c.w=b,c.exactW=!0);if(c=a.parentNode.bbox)c.w=b,c.exactW=!0}else a.style.width=a.parentNode.style.width="100%",a.bbox&&(a.bbox.width=b),a.parentNode.bbox&&(a.parentNode.bbox.width=b)},createDelimiter:function(a,b,k,p,g){if(b){p||(p=1);k instanceof Array||(k=[k,k]);var h=k[1];k=k[0];for(var l={alias:b};l.alias;)b=l.alias,(l=this.FONTDATA.DELIMITERS[b])||(l={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]});l.load&&e.RestartAfter(c.Require(this.fontDir+"/fontdata-"+l.load+".js"));for(var m=0,n=l.HW.length;m<n;m++)if(l.HW[m][0]*p>=k-.01||m==n-1&&!l.stretch){l.HW[m][2]&&(p*=l.HW[m][2]);l.HW[m][3]&&(b=l.HW[m][3]);k=this.addElement(a,"span");this.createChar(k,[b,l.HW[m][1]],p,g);a.bbox=k.bbox;a.offset=.65*a.bbox.w;a.scale=p;return}if(l.stretch)this["extendDelimiter"+l.dir](a,h,l.stretch,p,g)}else a.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0},a.bbox.rw=a.bbox.w,this.createSpace(a,a.bbox.h,a.bbox.d,a.bbox.w)},extendDelimiterV:function(a,b,c,d,g){var e=this.createStack(a,!0),l=this.createBox(e),m=this.createBox(e);this.createChar(l,c.top||c.ext,d,g);this.createChar(m,c.bot||c.ext,d,g);var n={bbox:{w:0,lw:0,rw:0}},z=n,q,r=l.bbox.h+l.bbox.d+m.bbox.h+m.bbox.d,v=-l.bbox.h;this.placeBox(l,0,v,!0);v-=l.bbox.d;c.mid&&(z=this.createBox(e),this.createChar(z,c.mid,d,g),r+=z.bbox.h+z.bbox.d);c.min&&b<r*c.min&&(b=r*c.min);if(b>r){n=this.Element("span");this.createChar(n,c.ext,d,g);q=n.bbox.h+n.bbox.d;var y=q-.05,C,B,D=c.mid?2:1;B=C=Math.min(Math.ceil((b-r)/(D*y)),this.maxStretchyParts);c.fullExtenders||(y=(b-r)/(D*C));b=C/(C+1)*(q-y);y=q-b;for(v+=b+y-n.bbox.h;0<D--;){for(;0<C--;)this.msieCloneNodeBug?(q=this.Element("span"),this.createChar(q,c.ext,d,g)):q=n.cloneNode(!0),q.bbox=n.bbox,v-=y,this.placeBox(this.addBox(e,q),0,v,!0);v+=b-n.bbox.d;c.mid&&D&&(this.placeBox(z,0,v-z.bbox.h,!0),C=B,v+=-(z.bbox.h+z.bbox.d)+b+y-n.bbox.h)}}else 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y=r-.05,C,B,D=c.mid?2:1;B=C=Math.min(Math.ceil((b-u)/(D*y)),this.maxStretchyParts);c.fillExtenders||(y=(b-u)/(D*C));b=C/(C+1)*(r-y);y=r-b;for(v-=n.bbox.lw+b;0<D--;){for(;0<C--;)this.cloneNodeBug?(r=this.Element("span"),this.createChar(r,c.rep,d,g)):r=n.cloneNode(!0),r.bbox=n.bbox,this.placeBox(this.addBox(e,r),v,0,!0),v+=y;c.mid&&D&&(this.placeBox(q,v,0,!0),v+=q.bbox.w-b,C=B)}}else v-=(u-b)/2,c.mid&&(this.placeBox(q,v,0,!0),v+=q.bbox.w),v-=(u-b)/2;this.placeBox(m,v,0,!0);a.bbox={w:v+m.bbox.rw,lw:0,rw:v+m.bbox.rw,H:Math.max(l.bbox.h,n.bbox.h,m.bbox.h,q.bbox.h),D:Math.max(l.bbox.d,n.bbox.d,m.bbox.d,q.bbox.d),h:n.bbox.h,d:n.bbox.d,exactW:!0};a.scale=d;a.isMultiChar=!0;this.setStackWidth(e,a.bbox.w)},createChar:function(a,b,c,e){a.isMathJax=!0;var g=a,h="",l={fonts:[b[1]],noRemap:!0};e&&e===d.VARIANT.BOLD&&(l.fonts=[b[1]+"-bold",b[1]]);"string"!==typeof b[1]&&(l=b[1]);if(b[0]instanceof Array){e=0;for(var m=b[0].length;e<m;e++)h+=String.fromCharCode(b[0][e])}else h=String.fromCharCode(b[0]);b[4]&&(c*=b[4]);1!==c||b[3]?(g=this.addElement(a,"span",{style:{fontSize:this.Percent(c)},scale:c,isMathJax:!0}),this.handleVariant(g,l,h),a.bbox=g.bbox):this.handleVariant(a,l,h);b[2]&&(a.style.marginLeft=this.Em(b[2]));b[3]&&(a.firstChild.style.verticalAlign=this.Em(b[3]),a.bbox.h+=b[3],0>a.bbox.h&&(a.bbox.h=0));b[5]&&(a.bbox.h+=b[5]);b[6]&&(a.bbox.d+=b[6]);this.AccentBug&&0===a.bbox.w&&(g.firstChild.nodeValue+=this.NBSP)},positionDelimiter:function(a,c){c-=a.bbox.h;a.bbox.d-=c;a.bbox.h+=c;c&&(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||this.operaVerticalAlignBug&&a.isMultiChar?(""===a.firstChild.style.display&&""!==a.style.top&&(a=a.firstChild,c-=b.unEm(a.style.top)),a.style.position="relative",a.style.top=this.Em(-c)):(a.style.verticalAlign=this.Em(c),b.ffVerticalAlignBug&&b.createRule(a.parentNode,a.bbox.h,0,0)))},handleVariant:function(a,b,c){var e="",g,h,l,m=a,n=!!a.style.fontFamily;if(0!==c.length){a.bbox||(a.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN});b||(b=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]);l=b;for(var q=0,r=c.length;q<r;q++){b=l;g=c.charCodeAt(q);c.charAt(q);if(55296<=g&&56319>g)q++,g=(g-55296<<10)+(c.charCodeAt(q)-56320)+65536,this.FONTDATA.RemapPlane1&&(b=this.FONTDATA.RemapPlane1(g,b),g=b.n,b=b.variant);else{var u,v=this.FONTDATA.RANGES;h=0;for(u=v.length;h<u;h++)if("alpha"!==v[h].name||!b.noLowerCase){var y=b["offset"+v[h].offset];if(y&&g>=v[h].low&&g<=v[h].high){v[h].remap&&v[h].remap[g]?g=y+v[h].remap[g]:(g=g-v[h].low+y,v[h].add&&(g+=v[h].add));b["variant"+v[h].offset]&&(b=this.FONTDATA.VARIANT[b["variant"+v[h].offset]]);break}}}b.remap&&b.remap[g]&&(b.remap[g]instanceof Array?(b=b.remap[g],g=b[0],b=this.FONTDATA.VARIANT[b[1]]):"string"===typeof 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m=g.data[g.over],n=g.data[g.under];m&&this===m.CoreMO()&&g.Get("accent")?l=b.FONTDATA.REMAPACCENT:n&&this===n.CoreMO()&&g.Get("accentunder")&&(l=b.FONTDATA.REMAPACCENTUNDER)}h&&c.match(/['`"\u00B4\u2032-\u2037\u2057]/)&&(e=b.FONTDATA.VARIANT["-"+b.fontInUse+"-variant"]);g=0;for(h=this.data.length;g<h;g++)this.data[g]&&this.data[g].toHTML(a,e,this.HTMLremap,l);a.bbox||(a.bbox=this.HTMLzeroBBox());1!==c.length&&delete a.bbox.skew;b.AccentBug&&0===a.bbox.w&&1===c.length&&a.firstChild&&(a.firstChild.nodeValue+=b.NBSP,b.createSpace(a,0,0,-a.offsetWidth/b.em));p.largeop&&(c=(a.bbox.h-a.bbox.d)/2-b.TeX.axis_height*a.scale,b.safariVerticalAlignBug&&"IMG"===a.lastChild.nodeName?a.lastChild.style.verticalAlign=b.Em(b.unEm(a.lastChild.style.verticalAlign||0)/b.em-c/a.scale):b.konquerorVerticalAlignBug&&"IMG"===a.lastChild.nodeName?(a.style.position="relative",a.lastChild.style.position="relative",a.lastChild.style.top=b.Em(c/a.scale)):a.style.verticalAlign=b.Em(-c/a.scale),a.bbox.h-=c,a.bbox.d+=c,a.bbox.rw>a.bbox.w&&(a.bbox.ic=a.bbox.rw-a.bbox.w,b.createBlank(a,a.bbox.ic),a.bbox.w=a.bbox.rw));this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},CoreParent:function(){for(var a=this;a&&a.isEmbellished()&&a.CoreMO()===this&&!a.isa(d.math);)a=a.Parent();return a},CoreText:function(a){if(!a)return"";if(a.isEmbellished())return a.CoreMO().data.join("");for(;(a.isa(d.mrow)||a.isa(d.TeXAtom)||a.isa(d.mstyle)||a.isa(d.mphantom))&&1===a.data.length&&a.data[0];)a=a.data[0];return a.isToken?a.data.join(""):""},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00b0":"\u2218","\u00b2":"2","\u00b3":"3","\u00b4":"\u2032","\u00b9":"1"},HTMLremap:function(a,b){a=a.replace(/-/g,"\u2212");b&&(a=a.replace(/'/g,"\u2032").replace(/`/g,"\u2035"),1===a.length&&(a=b[a]||a));return a},HTMLcanStretch:function(a){if(!this.Get("stretchy"))return!1;var c=this.data.join("");if(1<c.length)return!1;var e=this.CoreParent();if(e&&e.isa(d.munderover)&&1===this.CoreText(e.data[e.base]).length){var p=e.data[e.over],g=e.data[e.under];p&&this===p.CoreMO()&&e.Get("accent")?c=b.FONTDATA.REMAPACCENT[c]||c:g&&this===g.CoreMO()&&e.Get("accentunder")&&(c=b.FONTDATA.REMAPACCENTUNDER[c]||c)}return(c=b.FONTDATA.DELIMITERS[c.charCodeAt(0)])&&c.dir==a.substr(0,1)},HTMLstretchV:function(a,c,d){this.HTMLremoveColor();var e=this.getValues("symmetric","maxsize","minsize"),g=this.HTMLspanElement(),h=this.HTMLgetMu(g),l,m=b.TeX.axis_height,n=g.scale;l=e.symmetric?2*Math.max(c-m,d+m):c+d;e.maxsize=b.length2em(e.maxsize,h,g.bbox.h+g.bbox.d);e.minsize=b.length2em(e.minsize,h,g.bbox.h+g.bbox.d);l=Math.max(e.minsize,Math.min(e.maxsize,l));g=this.HTMLcreateSpan(a);b.createDelimiter(g,this.data.join("").charCodeAt(0),l,n);l=e.symmetric?(g.bbox.h+g.bbox.d)/2+m:(g.bbox.h+g.bbox.d)*c/(c+d);b.positionDelimiter(g,l);this.HTMLhandleSpace(g);this.HTMLhandleColor(g);return g},HTMLstretchH:function(a,c){this.HTMLremoveColor();var e=this.getValues("maxsize","minsize","mathvariant","fontweight");("bold"===e.fontweight||600<=parseInt(e.fontweight))&&!this.Get("mathvariant",!0)&&(e.mathvariant=d.VARIANT.BOLD);var p=this.HTMLspanElement(),g=this.HTMLgetMu(p),h=p.scale;e.maxsize=b.length2em(e.maxsize,g,p.bbox.w);e.minsize=b.length2em(e.minsize,g,p.bbox.w);c=Math.max(e.minsize,Math.min(e.maxsize,c));p=this.HTMLcreateSpan(a);b.createDelimiter(p,this.data.join("").charCodeAt(0),c,h,e.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});d.mtext.Augment({toHTML:function(a){a=this.HTMLhandleSize(this.HTMLcreateSpan(a));var c=this.HTMLgetVariant();if(b.config.mtextFontInherit||"merror"===this.Parent().type)c={bold:c.bold,italic:c.italic,fontInherit:!0};for(var d=0,e=this.data.length;d<e;d++)this.data[d]&&this.data[d].toHTML(a,c);a.bbox||(a.bbox=this.HTMLzeroBBox());1!==this.data.join("").length&&delete a.bbox.skew;this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a}});d.merror.Augment({toHTML:function(a){var c=MathJax.HTML.addElement(a,"span",{style:{display:"inline-block"}});a=this.SUPER(arguments).toHTML.call(this,c);var d=b.getHD(c),e=b.getW(c);c.bbox={h:d.h,d:d.d,w:e,lw:0,rw:e,exactW:!0};c.id=a.id;a.id=null;return c}});d.ms.Augment({toHTML:d.mbase.HTMLautoload});d.mglyph.Augment({toHTML:d.mbase.HTMLautoload});d.mspace.Augment({toHTML:function(a){a=this.HTMLcreateSpan(a);var c=this.getValues("height","depth","width"),d=this.HTMLgetMu(a);c.mathbackground=this.mathbackground;this.background&&!this.mathbackground&&(c.mathbackground=this.background);var e=b.length2em(c.height,d),g=b.length2em(c.depth,d),d=b.length2em(c.width,d);b.createSpace(a,e,g,d,c.mathbackground,!0);return a}});d.mphantom.Augment({toHTML:function(a,c,d){a=this.HTMLcreateSpan(a);if(null!=this.data[0]){var e=this.data[0].toHTML(a);null!=d?b.Remeasured(this.data[0].HTMLstretchV(a,c,d),a):null!=c?b.Remeasured(this.data[0].HTMLstretchH(a,c),a):e=b.Measured(e,a);a.bbox={w:e.bbox.w,h:e.bbox.h,d:e.bbox.d,lw:0,rw:0,exactW:!0};c=0;for(d=a.childNodes.length;c<d;c++)a.childNodes[c].style.visibility="hidden"}this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},HTMLstretchH:d.mbase.HTMLstretchH,HTMLstretchV:d.mbase.HTMLstretchV});d.mpadded.Augment({toHTML:function(a,c,d){a=this.HTMLcreateSpan(a);if(null!=this.data[0]){var e=b.createStack(a,!0),g=b.createBox(e),h=this.data[0].toHTML(g);null!=d?b.Remeasured(this.data[0].HTMLstretchV(g,c,d),g):null!=c?b.Remeasured(this.data[0].HTMLstretchH(g,c),g):b.Measured(h,g);c=this.getValues("height","depth","width","lspace","voffset");var h=d=0,l=this.HTMLgetMu(a);c.lspace&&(d=this.HTMLlength2em(g,c.lspace,l));c.voffset&&(h=this.HTMLlength2em(g,c.voffset,l));b.placeBox(g,d,h);a.bbox={h:g.bbox.h,d:g.bbox.d,w:g.bbox.w,exactW:!0,lw:Math.min(0,g.bbox.lw+d),rw:Math.max(g.bbox.w,g.bbox.rw+d),H:Math.max(null==g.bbox.H?-b.BIGDIMEN:g.bbox.H,g.bbox.h+h),D:Math.max(null==g.bbox.D?-b.BIGDIMEN:g.bbox.D,g.bbox.d-h)};""!==c.height&&(a.bbox.h=this.HTMLlength2em(g,c.height,l,"h",0));""!==c.depth&&(a.bbox.d=this.HTMLlength2em(g,c.depth,l,"d",0));""!==c.width&&(a.bbox.w=this.HTMLlength2em(g,c.width,l,"w",0));a.bbox.H<=a.bbox.h&&delete a.bbox.H;a.bbox.D<=a.bbox.d&&delete a.bbox.D;g=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;a.bbox.exact=!!(this.data[0]&&0==this.data[0].data.length||g.exec(c.height)||g.exec(c.width)||g.exec(c.depth));b.setStackWidth(e,a.bbox.w)}this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},HTMLlength2em:function(a,c,d,e,g){null==g&&(g=-b.BIGDIMEN);var h=String(c).match(/width|height|depth/),h=h?a.bbox[h[0].charAt(0)]:e?a.bbox[e]:0;d=b.length2em(c,d,h);return e&&String(c).match(/^\s*[-+]/)?Math.max(g,a.bbox[e]+d):d},HTMLstretchH:d.mbase.HTMLstretchH,HTMLstretchV:d.mbase.HTMLstretchV});d.mrow.Augment({HTMLlineBreaks:function(a){return this.parent.linebreakContainer?b.config.linebreaks.automatic&&a.bbox.w>b.linebreakWidth||this.hasNewline():!1},HTMLstretchH:function(a,b){this.HTMLremoveColor();var c=this.HTMLspanElement();this.data[this.core].HTMLstretchH(c,b);this.HTMLcomputeBBox(c,!0);this.HTMLhandleColor(c);return c},HTMLstretchV:function(a,b,c){this.HTMLremoveColor();a=this.HTMLspanElement();this.data[this.core].HTMLstretchV(a,b,c);this.HTMLcomputeBBox(a,!0);this.HTMLhandleColor(a);return a}});d.mstyle.Augment({toHTML:function(a,b,c){a=this.HTMLcreateSpan(a);if(null!=this.data[0]){var d=this.data[0].toHTML(a);null!=c?this.data[0].HTMLstretchV(a,b,c):null!=b&&this.data[0].HTMLstretchH(a,b);a.bbox=d.bbox}this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},HTMLstretchH:d.mbase.HTMLstretchH,HTMLstretchV:d.mbase.HTMLstretchV});d.mfrac.Augment({toHTML:function(a){a=this.HTMLcreateSpan(a);var c=b.createStack(a),d=b.createBox(c),e=b.createBox(c);b.MeasureSpans([this.HTMLboxChild(0,d),this.HTMLboxChild(1,e)]);var g=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled"),h=this.HTMLgetScale(),l=g.displaystyle,m=b.TeX.axis_height*h;if(g.bevelled){var g=l?.4:.15,n=Math.max(d.bbox.h+d.bbox.d,e.bbox.h+e.bbox.d)+2*g,c=b.createBox(c);b.createDelimiter(c,47,n);b.placeBox(d,0,(d.bbox.d-d.bbox.h)/2+m+g);b.placeBox(c,d.bbox.w-g/2,(c.bbox.d-c.bbox.h)/2+m);b.placeBox(e,d.bbox.w+c.bbox.w-g,(e.bbox.d-e.bbox.h)/2+m-g)}else{var n=Math.max(d.bbox.w,e.bbox.w),q=b.thickness2em(g.linethickness,h),r,u,v=b.TeX.min_rule_thickness/this.em;l?(r=b.TeX.num1,u=b.TeX.denom1):(r=0===q?b.TeX.num3:b.TeX.num2,u=b.TeX.denom2);r*=h;u*=h;0===q?(h=Math.max((l?7:3)*b.TeX.rule_thickness,2*v),l=r-d.bbox.d-(e.bbox.h-u),l<h&&(r+=(h-l)/2,u+=(h-l)/2)):(h=Math.max((l?2:0)*v+q,q/2+1.5*v),l=r-d.bbox.d-(m+q/2),l<h&&(r+=h-l),l=m-q/2-(e.bbox.h-u),l<h&&(u+=h-l),c=b.createBox(c),b.createRule(c,q,0,n+2*q),b.placeBox(c,0,m-q/2));b.alignBox(d,g.numalign,r);b.alignBox(e,g.denomalign,-u)}this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},HTMLcanStretch:function(a){return!1},HTMLhandleSpace:function(a){if(!this.texWithDelims){var c=(this.useMMLspacing?0:b.length2em(this.texSpacing()||0))+.12;a.style.paddingLeft=b.Em(c);a.style.paddingRight=b.Em(.12)}}});d.msqrt.Augment({toHTML:function(a){a=this.HTMLcreateSpan(a);var c=b.createStack(a),d=b.createBox(c),e=b.createBox(c),g=b.createBox(c),h=this.HTMLgetScale(),l=b.TeX.rule_thickness*h,m,n,q;m=this.Get("displaystyle")?b.TeX.x_height*h:l;m=Math.max(l+m/4,1.5*b.TeX.min_rule_thickness/this.em);var r=this.HTMLboxChild(0,d);n=r.bbox.h+r.bbox.d+m+l;b.createDelimiter(g,8730,n,h);b.MeasureSpans([r,g]);q=r.bbox.w;var u=0;if(g.isMultiChar||b.AdjustSurd&&b.imgFonts)g.bbox.w*=.95;g.bbox.h+g.bbox.d>n&&(m=(g.bbox.h+g.bbox.d-(n-l))/2);n=b.FONTDATA.DELIMITERS[b.FONTDATA.RULECHAR];!n||q<n.HW[0][0]*h||.75>h?b.createRule(e,0,l,q):b.createDelimiter(e,b.FONTDATA.RULECHAR,q,h);n=r.bbox.h+m+l;m=n*b.rfuzz;g.isMultiChar&&(m=b.rfuzz);u=this.HTMLaddRoot(c,g,u,g.bbox.h+g.bbox.d-n,h);b.placeBox(g,u,n-g.bbox.h);b.placeBox(e,u+g.bbox.w,n-e.bbox.h+m);b.placeBox(d,u+g.bbox.w,0);this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},HTMLaddRoot:function(a,b,c,d,e){return c}});d.mroot.Augment({toHTML:d.msqrt.prototype.toHTML,HTMLaddRoot:function(a,c,d,e,g){a=b.createBox(a);this.data[1]?(d=this.data[1].toHTML(a),d.style.paddingRight=d.style.paddingLeft="",b.Measured(d,a)):a.bbox=this.HTMLzeroBBox();e=this.HTMLrootHeight(c.bbox.h+c.bbox.d,g,a)-e;g=Math.min(a.bbox.w,a.bbox.rw);d=Math.max(g,c.offset);b.placeBox(a,d-g,e);return d-c.offset},HTMLrootHeight:function(a,b,c){return.45*(a-.9*b)+.6*b+Math.max(0,c.bbox.d-.075)}});d.mfenced.Augment({toHTML:function(a){a=this.HTMLcreateSpan(a);this.data.open&&this.data.open.toHTML(a);null!=this.data[0]&&this.data[0].toHTML(a);for(var b=1,c=this.data.length;b<c;b++)this.data[b]&&(this.data["sep"+b]&&this.data["sep"+b].toHTML(a),this.data[b].toHTML(a));this.data.close&&this.data.close.toHTML(a);for(var d=this.HTMLcomputeBBox(a),e=a.bbox.h,h=a.bbox.d,b=0,c=d.length;b<c;b++)d[b].HTMLstretchV(a,e,h);d.length&&this.HTMLcomputeBBox(a,!0);this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},HTMLcomputeBBox:function(a,b){var c=a.bbox={},d=[];this.HTMLcheckStretchy(this.data.open,c,d,b);this.HTMLcheckStretchy(this.data[0],c,d,b);for(var e=1,h=this.data.length;e<h;e++)this.data[e]&&(this.HTMLcheckStretchy(this.data["sep"+e],c,d,b),this.HTMLcheckStretchy(this.data[e],c,d,b));this.HTMLcheckStretchy(this.data.close,c,d,b);this.HTMLcleanBBox(c);return d},HTMLcheckStretchy:function(a,b,c,d){a&&(!d&&a.HTMLcanStretch("Vertical")&&(c.push(a),a=a.CoreMO()||a),this.HTMLcombineBBoxes(a,b))}});d.menclose.Augment({toHTML:d.mbase.HTMLautoload});d.maction.Augment({toHTML:d.mbase.HTMLautoload});d.semantics.Augment({toHTML:function(a,b,c){a=this.HTMLcreateSpan(a);if(null!=this.data[0]){var d=this.data[0].toHTML(a);null!=c?this.data[0].HTMLstretchV(a,b,c):null!=b&&this.data[0].HTMLstretchH(a,b);a.bbox=d.bbox}this.HTMLhandleSpace(a);return a},HTMLstretchH:d.mbase.HTMLstretchH,HTMLstretchV:d.mbase.HTMLstretchV});d.munderover.Augment({toHTML:function(a,c,e){var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&null!=this.data[this.base]&&this.data[this.base].CoreMO().Get("movablelimits"))return d.msubsup.prototype.toHTML.call(this,a);a=this.HTMLcreateSpan(a);var g=this.HTMLgetScale(),h=b.createStack(a),m=[],n=[],q=[],r,w,u;w=0;for(u=this.data.length;w<u;w++)null!=this.data[w]&&(r=m[w]=b.createBox(h),n[w]=this.data[w].toHTML(r),w==this.base?(null!=e?this.data[this.base].HTMLstretchV(r,c,e):null!=c&&this.data[this.base].HTMLstretchH(r,c),q[w]=null==e&&null!=c?!1:this.data[w].HTMLcanStretch("Horizontal")):q[w]=this.data[w].HTMLcanStretch("Horizontal"));b.MeasureSpans(n);h=n=-b.BIGDIMEN;w=0;for(u=this.data.length;w<u;w++)this.data[w]&&(m[w].bbox.w>h&&(h=m[w].bbox.w),!q[w]&&h>n&&(n=h));null==e&&null!=c?n=c:n==-b.BIGDIMEN&&(n=h);w=h=0;for(u=this.data.length;w<u;w++)this.data[w]&&(r=m[w],q[w]&&(r.bbox=this.data[w].HTMLstretchH(r,n).bbox),r.bbox.w>h&&(h=r.bbox.w));c=b.TeX.rule_thickness;e=b.FONTDATA.TeX_factor;var q=m[this.base]||{bbox:this.HTMLzeroBBox()},v,y,C,B=0;q.bbox.ic&&(B=1.3*q.bbox.ic+.05);w=0;for(u=this.data.length;w<u;w++)null!=this.data[w]&&(r=m[w],n=b.TeX.big_op_spacing5*g,(C=w!=this.base&&l[this.ACCENTS[w]])&&r.bbox.w<=1/b.em+1E-4&&(r.bbox.w=r.bbox.rw-r.bbox.lw,r.bbox.noclip=!0,r.bbox.lw&&r.insertBefore(b.createSpace(r.parentNode,0,0,-r.bbox.lw),r.firstChild),b.createBlank(r,0,0,r.bbox.rw+.1)),v={left:0,center:(h-r.bbox.w)/2,right:h-r.bbox.w}[l.align],y=0,w==this.over?(C?(C=Math.max(c*g*e,2.5/this.em),n=0,q.bbox.skew&&(v+=q.bbox.skew)):(C=b.TeX.big_op_spacing1*g*e,y=b.TeX.big_op_spacing3*g*e,C=Math.max(C,y-Math.max(0,r.bbox.d))),C=Math.max(C,1.5/this.em),v+=B/2,y=q.bbox.h+r.bbox.d+C,r.bbox.h+=n):w==this.under&&(C?(C=3*c*g*e,n=0):(C=b.TeX.big_op_spacing2*g*e,y=b.TeX.big_op_spacing4*g*e,C=Math.max(C,y-r.bbox.h)),C=Math.max(C,1.5/this.em),v-=B/2,y=-(q.bbox.d+r.bbox.h+C),r.bbox.d+=n),b.placeBox(r,v,y));this.HTMLhandleSpace(a);this.HTMLhandleColor(a);return a},HTMLstretchH:d.mbase.HTMLstretchH,HTMLstretchV:d.mbase.HTMLstretchV});d.msubsup.Augment({toHTML:function(a,c,d){a=this.HTMLcreateSpan(a);var e=this.HTMLgetScale(),g=this.HTMLgetMu(a),h=b.createStack(a),l,m=[],n=b.createBox(h);this.data[this.base]?(m.push(this.data[this.base].toHTML(n)),null!=d?this.data[this.base].HTMLstretchV(n,c,d):null!=c&&this.data[this.base].HTMLstretchH(n,c)):n.bbox=this.HTMLzeroBBox();c=b.TeX.x_height*e;d=b.TeX.scriptspace*e*.75;var q;this.HTMLnotEmpty(this.data[this.sup])&&(q=b.createBox(h),m.push(this.data[this.sup].toHTML(q)));this.HTMLnotEmpty(this.data[this.sub])&&(l=b.createBox(h),m.push(this.data[this.sub].toHTML(l)));b.MeasureSpans(m);q&&(q.bbox.w+=d,q.bbox.rw=Math.max(q.bbox.w,q.bbox.rw));l&&(l.bbox.w+=d,l.bbox.rw=Math.max(l.bbox.w,l.bbox.rw));b.placeBox(n,0,0);var 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