/*
 *  /MathJax/config/AM_HTMLorMML.js
 *  
 *  Copyright (c) 2010-2013 The MathJax Consortium
 *
 *  Part of the MathJax library.
 *  See http://www.mathjax.org for details.
 * 
 *  Licensed under the Apache License, Version 2.0;
 *  you may not use this file except in compliance with the License.
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 */MathJax.Hub.Config({delayJaxRegistration:!0});MathJax.Ajax.Preloading("[MathJax]/jax/input/AsciiMath/config.js","[MathJax]/jax/output/HTML-CSS/config.js","[MathJax]/jax/output/NativeMML/config.js","[MathJax]/config/MMLorHTML.js","[MathJax]/extensions/asciimath2jax.js","[MathJax]/extensions/MathEvents.js","[MathJax]/extensions/MathZoom.js","[MathJax]/extensions/MathMenu.js","[MathJax]/jax/element/mml/jax.js","[MathJax]/extensions/toMathML.js","[MathJax]/jax/input/AsciiMath/jax.js");MathJax.Hub.Config({"v1.0-compatible":!1});MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.2",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:!0,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.2",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:!1,EqnChunk:MathJax.Hub.Browser.isMobile?10:50,EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:!1,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX\x3d2, OffY\x3d2, Color\x3d'gray', Positive\x3d'true')",padding:"3px 4px","z-index":401}}}});MathJax.Hub.Browser.isMSIE&&9<=document.documentMode&&delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter;MathJax.Hub.config.delayJaxRegistration||MathJax.OutputJax["HTML-CSS"].Register("jax/mml");MathJax.Hub.Register.StartupHook("End Config",[function(a,c){var b=a.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:!0,minBrowserTranslate:function(d){var c=a.getJaxFor(d),f=["[Math]"],k=document.createElement("span",{className:"MathJax_Preview"});"TeX"===c.inputJax&&(c.root.Get("displaystyle")?(f=b.displayMathDelimiters,f=[f[0]+c.originalText+f[1]],b.multilineDisplay&&(f=f[0].split(/\n/))):(f=b.inlineMathDelimiters,f=[f[0]+c.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+f[1]]));for(var c=0,p=f.length;c<p;c++)k.appendChild(document.createTextNode(f[c])),c<p-1&&k.appendChild(document.createElement("br"));d.parentNode.insertBefore(k,d)}},a.config["HTML-CSS"]||{});"0.0"===a.Browser.version||a.Browser.versionAtLeast(b.minBrowserVersion[a.Browser]||0)||(c.Translate=b.minBrowserTranslate,a.Config({showProcessingMessages:!1}),MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4E3),a.Startup.signal.Post("MathJax not supported"))},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.2",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,minScaleAdjust:50,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});MathJax.Hub.config.delayJaxRegistration||MathJax.OutputJax.NativeMML.Register("jax/mml");MathJax.OutputJax.NativeMML.loadComplete("config.js");(function(a,c){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},g="0.0"===c.version||c.versionAtLeast(d[c]||0),f=c.isFirefox&&c.versionAtLeast("1.5")||c.isMSIE&&c.hasMathPlayer||c.isSafari&&c.versionAtLeast("5.0")||c.isOpera&&c.versionAtLeast("9.52");a.Register.StartupHook("End Config",function(){var d=b.prefer&&"object"===typeof b.prefer?b.prefer[MathJax.Hub.Browser]||b.prefer.other||"HTML":b.prefer;g||f?!f||"MML"!==d&&g?(MathJax.OutputJax["HTML-CSS"]?MathJax.OutputJax["HTML-CSS"].Register("jax/mml"):a.config.jax.unshift("output/HTML-CSS"),a.Startup.signal.Post("HTML-CSS output selected")):(MathJax.OutputJax.NativeMML?MathJax.OutputJax.NativeMML.Register("jax/mml"):a.config.jax.unshift("output/NativeMML"),a.Startup.signal.Post("NativeMML output selected")):(a.PreProcess.disabled=!0,a.prepareScripts.disabled=!0,MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4E3),a.Startup.signal.Post("MathJax not supported"))})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");MathJax.Extension.asciimath2jax={version:"2.2",config:{delimiters:[["`","`"]],skipTags:"script noscript style textarea pre code".split(" "),ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){this.configured||(this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config),this.config.Augment&&MathJax.Hub.Insert(this,this.config.Augment),this.configured=!0);"string"===typeof a&&(a=document.getElementById(a));a||(a=document.body);this.createPatterns()&&this.scanElement(a,a.nextSibling)},createPatterns:function(){var a=[],c,b,d=this.config;this.match={};if(0===d.delimiters.length)return!1;c=0;for(b=d.delimiters.length;c<b;c++)a.push(this.patternQuote(d.delimiters[c][0])),this.match[d.delimiters[c][0]]={mode:"",end:d.delimiters[c][1],pattern:this.endPattern(d.delimiters[c][1])};this.start=new RegExp(a.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+d.skipTags.join("|")+")$","i");a=[];MathJax.Hub.config.preRemoveClass&&a.push(MathJax.Hub.config.preRemoveClass);d.ignoreClass&&a.push(d.ignoreClass);this.ignoreClass=a.length?new RegExp("(^| )("+a.join("|")+")( |$)"):/^$/;this.processClass=new RegExp("(^| )("+d.processClass+")( |$)");return!0},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(a,c){return a.length!==c.length?c.length-a.length:a==c?0:a<c?-1:1},scanElement:function(a,c,b){for(var d,g,f;a&&a!=c;)"#text"===a.nodeName.toLowerCase()?b||(a=this.scanText(a)):(d="undefined"===typeof a.className?"":a.className,g="undefined"===typeof a.tagName?"":a.tagName,"string"!==typeof d&&(d=String(d)),f=this.processClass.exec(d),!a.firstChild||d.match(/(^| )MathJax/)||!f&&this.skipTags.exec(g)||(d=(b||this.ignoreClass.exec(d))&&!f,this.scanElement(a.firstChild,c,d))),a&&(a=a.nextSibling)},scanText:function(a){if(""==a.nodeValue.replace(/\s+/,""))return a;var c,b;this.search={start:!0};for(this.pattern=this.start;a;){for(this.pattern.lastIndex=0;a&&"#text"===a.nodeName.toLowerCase()&&(c=this.pattern.exec(a.nodeValue));)a=this.search.start?this.startMatch(c,a):this.endMatch(c,a);this.search.matched&&(a=this.encloseMath(a));if(a){do b=a,a=a.nextSibling;while(a&&("br"===a.nodeName.toLowerCase()||"#comment"===a.nodeName.toLowerCase()));if(!a||"#text"!==a.nodeName)return b}}return a},startMatch:function(a,c){var b=this.match[a[0]];null!=b&&(this.search={end:b.end,mode:b.mode,open:c,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length},this.switchPattern(b.pattern));return c},endMatch:function(a,c){a[0]==this.search.end&&(this.search.close=c,this.search.cpos=this.pattern.lastIndex,this.search.clen=this.search.isBeginEnd?0:a[0].length,this.search.matched=!0,c=this.encloseMath(c),this.switchPattern(this.start));return c},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=a===this.start},encloseMath:function(a){a=this.search;var c=a.close,b,d;(c=a.cpos===c.length?c.nextSibling:c.splitText(a.cpos))||(b=c=MathJax.HTML.addText(a.close.parentNode,""));a.close=c;for(d=a.opos?a.open.splitText(a.opos):a.open;d.nextSibling&&d.nextSibling!==c;)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);c=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);"none"!==this.config.preview&&this.createPreview(a.mode,c);d=this.createMathTag(a.mode,c);this.search={};this.pattern.lastIndex=0;b&&b.parentNode.removeChild(b);return d},insertNode:function(a){var c=this.search;c.close.parentNode.insertBefore(a,c.close)},createPreview:function(a,c){var b=this.config.preview;"none"!==b&&("AsciiMath"===b&&(b=[this.filterPreview(c)]),b&&(b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b),this.insertNode(b)))},createMathTag:function(a,c){var b=document.createElement("script");b.type="math/asciimath"+a;MathJax.HTML.setScript(b,c);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:MathJax.Hub.Browser.isMSIE&&9>(document.documentMode||0)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");(function(a,c,b,d,g,f,k){var p=MathJax.Extension,t=p.MathEvents={version:"2.2"},n=a.config.menuSettings,q={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(f.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"}}},h=t.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(a){return h.Handler(a,"Mousedown",this)},Mouseup:function(a){return h.Handler(a,"Mouseup",this)},Mousemove:function(a){return h.Handler(a,"Mousemove",this)},Mouseover:function(a){return h.Handler(a,"Mouseover",this)},Mouseout:function(a){return h.Handler(a,"Mouseout",this)},Click:function(a){return h.Handler(a,"Click",this)},DblClick:function(a){return h.Handler(a,"DblClick",this)},Menu:function(a){return h.Handler(a,"ContextMenu",this)},Handler:function(a,d,m){if(b.loadingMathMenu)return h.False(a);var c=f[m.jaxID];a||(a=window.event);a.isContextMenu="ContextMenu"===d;if(c[d])return c[d](a,m);if(p.MathZoom)return p.MathZoom.HandleEvent(a,d,m)},False:function(a){a||(a=window.event);a&&(a.preventDefault&&a.preventDefault(),a.stopPropagation&&a.stopPropagation(),a.cancelBubble=!0,a.returnValue=!1);return!1},ContextMenu:function(c,x,m){var e=f[x.jaxID],w=e.getJaxFromMath(x);if((null!=e.config.showMathMenu?e:a).config.showMathMenu&&("MathJax"===n.context||m)){t.msieEventBug&&(c=window.event||c);h.ClearSelection();r.ClearHoverTimer();w.hover&&(w.hover.remove&&(clearTimeout(w.hover.remove),delete w.hover.remove),w.hover.nofade=!0);var q=MathJax.Menu;if(q){if(q.loadingDomain)return h.False(c);e=g.loadDomain("MathMenu");if(!e)return q.jax=w,x=q.menu.Find("Show Math As").menu,x.items[0].name=w.sourceMenuTitle,x.items[0].format=w.sourceMenuFormat||"MathML",x.items[1].name=k[w.inputJax].sourceMenuTitle,q.menu.Find("Math Settings","MathPlayer").hidden=!("NativeMML"===w.outputJax&&a.Browser.hasMathPlayer),q.menu.Post(c);q.loadingDomain=!0;w=function(){delete q.loadingDomain}}else{if(b.loadingMathMenu)return h.False(c);b.loadingMathMenu=!0;e=b.Require("[MathJax]/extensions/MathMenu.js");w=function(){delete b.loadingMathMenu;MathJax.Menu||(MathJax.Menu={})}}d.Queue(e,w,["ContextMenu",h,{pageX:c.pageX,pageY:c.pageY,clientX:c.clientX,clientY:c.clientY},x,m]);return h.False(c)}},AltContextMenu:function(d,b){var m=f[b.jaxID],c=(null!=m.config.showMathMenu?m:a).config.showMathMenu;if(c){c=(null!=m.config.showMathMenuMSIE?m:a).config.showMathMenuMSIE;if("MathJax"===n.context&&!n.mpContext&&c){if(!t.noContextMenuBug||d.button!==h.RIGHTBUTTON)return}else if(!d[h.MENUKEY]||d.button!==h.LEFTBUTTON)return;return m.ContextMenu(d,b,!0)}},ClearSelection:function(){t.safariContextMenuBug&&setTimeout("window.getSelection().empty()",0);document.selection&&setTimeout("document.selection.empty()",0)},getBBox:function(a){a.appendChild(t.topImg);var d=t.topImg.offsetTop,b=a.offsetHeight-d,c=a.offsetWidth;a.removeChild(t.topImg);return{w:c,h:d,d:b}}},r=t.Hover={Mouseover:function(d,b){if(n.discoverable||"Hover"===n.zoom){var m=d.fromElement||d.relatedTarget,c=d.toElement||d.target;if(m&&c&&(m.isMathJax!=c.isMathJax||a.getJaxFor(m)!==a.getJaxFor(c)))return m=this.getJaxFromMath(b),m.hover?r.ReHover(m):r.HoverTimer(m,b),h.False(d)}},Mouseout:function(d,b){if(n.discoverable||"Hover"===n.zoom){var m=d.fromElement||d.relatedTarget,c=d.toElement||d.target;if(m&&c&&(m.isMathJax!=c.isMathJax||a.getJaxFor(m)!==a.getJaxFor(c)))return m=this.getJaxFromMath(b),m.hover?r.UnHover(m):r.ClearHoverTimer(),h.False(d)}},Mousemove:function(a,d){if(n.discoverable||"Hover"===n.zoom){var b=this.getJaxFromMath(d);if(!b.hover&&(r.lastX!=a.clientX||r.lastY!=a.clientY))return r.lastX=a.clientX,r.lastY=a.clientY,r.HoverTimer(b,d),h.False(a)}},HoverTimer:function(a,b){this.ClearHoverTimer();this.hoverTimer=setTimeout(d(["Hover",this,a,b]),q.hover)},ClearHoverTimer:function(){this.hoverTimer&&(clearTimeout(this.hoverTimer),delete this.hoverTimer)},Hover:function(d,b){if(!p.MathZoom||!p.MathZoom.Hover({},b)){var m=f[d.outputJax],e=m.getHoverSpan(d,b),g=m.getHoverBBox(d,e,b),h=(null!=m.config.showMathMenu?m:a).config.showMathMenu,k=q.frame.x,r=q.frame.y,n=q.frame.bwidth;t.msieBorderWidthBug&&(n=0);d.hover={opacity:0,id:d.inputID+"-Hover"};var v=c.Element("span",{id:d.hover.id,isMathJax:!0,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:!0,style:{display:"inline-block",position:"absolute",top:this.Px(-g.h-r-n-(g.y||0)),left:this.Px(-k-n+(g.x||0)),width:this.Px(g.w+2*k),height:this.Px(g.h+g.d+2*r),opacity:0,filter:"alpha(opacity\x3d0)"}}]]),m=c.Element("span",{isMathJax:!0,id:d.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:!0,math:b,src:q.button.src,onclick:this.HoverMenu,jax:m.id,style:{left:this.Px(g.w+k+n+(g.x||0)+q.button.x),top:this.Px(-g.h-r-n-(g.y||0)-q.button.y),opacity:0,filter:"alpha(opacity\x3d0)"}}]]);g.width&&(v.style.width=m.style.width=g.width,v.style.marginRight=m.style.marginRight="-"+g.width,v.firstChild.style.width=g.width,m.firstChild.style.left="",m.firstChild.style.right=this.Px(q.button.wx));e.parentNode.insertBefore(v,e);h&&e.parentNode.insertBefore(m,e);e.style&&(e.style.position="relative");this.ReHover(d)}},ReHover:function(a){a.hover.remove&&clearTimeout(a.hover.remove);a.hover.remove=setTimeout(d(["UnHover",this,a]),q.fadeoutDelay);this.HoverFadeTimer(a,q.fadeinInc)},UnHover:function(a){a.hover.nofade||this.HoverFadeTimer(a,-q.fadeoutInc,q.fadeoutStart)},HoverFade:function(a){delete a.hover.timer;a.hover.opacity=Math.max(0,Math.min(1,a.hover.opacity+a.hover.inc));a.hover.opacity=Math.floor(1E3*a.hover.opacity)/1E3;var d=document.getElementById(a.hover.id),b=document.getElementById(a.hover.id+"Menu");d.firstChild.style.opacity=a.hover.opacity;d.firstChild.style.filter="alpha(opacity\x3d"+Math.floor(100*a.hover.opacity)+")";b&&(b.firstChild.style.opacity=a.hover.opacity,b.firstChild.style.filter=d.style.filter);1!==a.hover.opacity&&(0<a.hover.opacity?this.HoverFadeTimer(a,a.hover.inc):(d.parentNode.removeChild(d),b&&b.parentNode.removeChild(b),a.hover.remove&&clearTimeout(a.hover.remove),delete a.hover))},HoverFadeTimer:function(a,b,c){a.hover.inc=b;a.hover.timer||(a.hover.timer=setTimeout(d(["HoverFade",this,a]),c||q.fadeDelay))},HoverMenu:function(a){a||(a=window.event);return f[this.jax].ContextMenu(a,this.math,!0)},ClearHover:function(a){a.hover.remove&&clearTimeout(a.hover.remove);a.hover.timer&&clearTimeout(a.hover.timer);r.ClearHoverTimer();delete a.hover},Px:function(a){return.006>Math.abs(a)?"0px":a.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){(new Image).src=q.button.src}},v=t.Touch={last:0,delay:500,start:function(a){var d=(new Date).getTime(),b=d-v.last<v.delay&&v.up;v.last=d;v.up=!1;b&&(v.timeout=setTimeout(v.menu,v.delay,a,this),a.preventDefault())},end:function(a){var d=(new Date).getTime();v.up=d-v.last<v.delay;if(v.timeout)return clearTimeout(v.timeout),delete v.timeout,v.last=0,v.up=!1,a.preventDefault(),h.Handler(a.touches[0]||a.touch,"DblClick",this)},menu:function(a,d){delete v.timeout;v.last=0;v.up=!1;return h.Handler(a.touches[0]||a.touch,"ContextMenu",d)}};if(a.Browser.isMobile){var e=q.styles[".MathJax_Hover_Arrow"];e.width="25px";e.height="18px";q.button.x=-6}a.Browser.Select({MSIE:function(a){var d=document.documentMode||0,b=a.versionAtLeast("8.0");t.msieBorderWidthBug="BackCompat"===document.compatMode;t.msieEventBug=a.isIE9;t.msieAlignBug=!b||8>d;9>d&&(h.LEFTBUTTON=1)},Safari:function(a){t.safariContextMenuBug=!0},Opera:function(a){t.operaPositionBug=!0},Konqueror:function(a){t.noContextMenuBug=!0}});t.topImg=t.msieAlignBug?c.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}});t.operaPositionBug&&(t.topImg.style.border="1px solid");t.config=q=a.CombineConfig("MathEvents",q);d.Queue(a.Register.StartupHook("End Config",{}),[function(){var a=q.styles[".MathJax_Hover_Frame"];a.border=q.frame.bwidth+"px solid "+q.frame.bcolor+" ! important";a["box-shadow"]=a["-webkit-box-shadow"]=a["-moz-box-shadow"]=a["-khtml-box-shadow"]="0px 0px "+q.frame.hwidth+" "+q.frame.hcolor}],["getImages",r],["Styles",b,q.styles],["Post",a.Startup.signal,"MathEvents Ready"],["loadComplete",b,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);(function(a,c,b,d,g){var f=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX\x3d2, OffY\x3d2, Color\x3d'gray', Positive\x3d'true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity\x3d0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity\x3d0)"}}}),k,p,t;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){t=MathJax.Extension.MathEvents.Event;k=MathJax.Extension.MathEvents.Event.False;p=MathJax.Extension.MathEvents.Hover});var n=MathJax.Extension.MathZoom={version:"2.2",settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(a,d,b){return n.settings.CTRL&&!a.ctrlKey||n.settings.ALT&&!a.altKey||n.settings.CMD&&!a.metaKey||n.settings.Shift&&!a.shiftKey||!n[d]?!0:n[d](a,b)},Click:function(a,d){if("Click"===this.settings.zoom)return this.Zoom(a,d)},DblClick:function(a,d){if("Double-Click"===this.settings.zoom)return this.Zoom(a,d)},Hover:function(a,d){return"Hover"===this.settings.zoom?(this.Zoom(a,d),!0):!1},Zoom:function(d,b){this.Remove();p.ClearHoverTimer();t.ClearSelection();var g=MathJax.OutputJax[b.jaxID],n=g.getJaxFromMath(b);n.hover&&p.UnHover(n);var e=Math.floor(.85*document.body.clientWidth),l=Math.floor(.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight)),x=c.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":e+"px","max-height":l+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]),m=x.lastChild,A=m.firstChild,w=x.firstChild;b.parentNode.insertBefore(x,b);b.parentNode.insertBefore(b,x);A.addEventListener&&A.addEventListener("mousedown",this.Remove,!0);if(this.msieTrapEventBug){var y=c.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});x.insertBefore(y,m)}this.msieZIndexBug&&(c.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}}),x.style.position="relative",x.style.zIndex=f.styles["#MathJax_ZoomOverlay"]["z-index"]);g=g.Zoom(n,A,b,e,l);this.msiePositionBug&&(this.msieSizeBug&&(m.style.height=g.zH+"px",m.style.width=g.zW+"px"),m.offsetHeight>l&&(m.style.height=l+"px",m.style.width=g.zW+this.scrollSize+"px"),m.offsetWidth>e&&(m.style.width=e+"px",m.style.height=g.zH+this.scrollSize+"px"));this.operaPositionBug&&(m.style.width=Math.min(e,g.zW)+"px");m.offsetWidth&&m.offsetWidth<e&&m.offsetHeight<l&&(m.style.overflow="visible");this.Position(m,g);this.msieTrapEventBug&&(y.style.height=m.clientHeight+"px",y.style.width=m.clientWidth+"px",y.style.left=parseFloat(m.style.left)+m.clientLeft+"px",y.style.top=parseFloat(m.style.top)+m.clientTop+"px");m.style.visibility="";"Hover"===this.settings.zoom&&(w.onmouseover=this.Remove);window.addEventListener?addEventListener("resize",this.Resize,!1):window.attachEvent?attachEvent("onresize",this.Resize):(this.onresize=window.onresize,window.onresize=this.Resize);a.signal.Post(["math zoomed",n]);return k(d)},Position:function(a,d){var b=this.Resize(),c=b.y,g=d.mW,f=d.Y;a.style.left=Math.max(-g-Math.floor((a.offsetWidth-g)/2),10-b.x)+"px";a.style.top=Math.max(f,10-c)+"px";n.msiePositionBug||n.SetWH()},Resize:function(a){if(n.onresize)n.onresize(a);var d=document.getElementById("MathJax_ZoomFrame");a=document.getElementById("MathJax_ZoomOverlay");for(var b=n.getXY(d),d=d.parentNode,c=n.getOverflow(d);d.parentNode&&d!==document.body&&"visible"===c;)d=d.parentNode,c=n.getOverflow(d);"visible"!==c&&(a.scroll_parent=d,c=n.getXY(d),b.x-=c.x,b.y-=c.y,c=n.getBorder(d),b.x-=c.x,b.y-=c.y);a.style.left=-b.x+"px";a.style.top=-b.y+"px";n.msiePositionBug?setTimeout(n.SetWH,0):n.SetWH();return b},SetWH:function(){var a=document.getElementById("MathJax_ZoomOverlay");a.style.width=a.style.height="1px";var d=a.scroll_parent||document.documentElement||document.body;a.style.width=d.scrollWidth+"px";a.style.height=Math.max(d.clientHeight,d.scrollHeight)+"px"},getOverflow:window.getComputedStyle?function(a){return getComputedStyle(a).overflow}:function(a){return(a.currentStyle||{overflow:"visible"}).overflow},getBorder:function(a){var d={thin:1,medium:2,thick:3},b=window.getComputedStyle?getComputedStyle(a):a.currentStyle||{borderLeftWidth:0,borderTopWidth:0};a=b.borderLeftWidth;b=b.borderTopWidth;a=d[a]?d[a]:parseInt(a);b=d[b]?d[b]:parseInt(b);return{x:a,y:b}},getXY:function(a){var d=0,b=0,c;for(c=a;c.offsetParent;)d+=c.offsetLeft,c=c.offsetParent;n.operaPositionBug&&(a.style.border="1px solid");for(c=a;c.offsetParent;)b+=c.offsetTop,c=c.offsetParent;n.operaPositionBug&&(a.style.border="");return{x:d,y:b}},Remove:function(d){var b=document.getElementById("MathJax_ZoomFrame");if(b){var g=MathJax.OutputJax[b.previousSibling.jaxID].getJaxFromMath(b.previousSibling);a.signal.Post(["math 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f.styles["#MathJax_Zoom"].filter},Opera:function(a){n.operaPositionBug=!0;n.operaRefreshBug=!0}});n.topImg=n.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}});if(n.operaPositionBug||n.msieTopBug)n.topImg.style.border="1px solid";MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",b,f.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",b,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);(function(a,c,b,d,g){var f=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:"2.2",signal:f};var k=function(a){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",a]].concat([].slice.call(arguments,1)))},p=a.Browser.isPC,t=a.Browser.isMSIE,n=8<(document.documentMode||0),q=p?null:"5px",h=a.CombineConfig("MathMenu",{delay:150,closeImg:b.fileURL(g.imageDir+"/CloseX-31.png"),showRenderer:!0,showMathPlayer:!0,showFontMenu:!1,showContext:!1,showDiscoverable:!1,showLocale:!0,showLocaleURL:!1,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 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l.lastItem,delete l.lastMenu,delete e.skipUp,f.Post(["post",e.jax]));var g=c.addElement(b,"div",{onmouseup:e.Mouseup,ondblclick:r,ondragstart:r,onselectstart:r,oncontextmenu:r,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(g);for(var k=0,n=this.items.length;k<n;k++)this.items[k].Create(g);e.isMobile&&c.addElement(g,"span",{className:"MathJax_Menu_Close",menu:d,ontouchstart:e.Close,ontouchend:r,onmousedown:e.Close,onmouseup:r},[["img",{src:h.closeImg,style:{width:"100%",height:"100%"}}]]);this.posted=!0;g.style.width=g.offsetWidth+2+"px";k=a.pageX;n=a.pageY;k||n||(k=a.clientX+document.body.scrollLeft+document.documentElement.scrollLeft,n=a.clientY+document.body.scrollTop+document.documentElement.scrollTop);if(d){for(var q="left",t=d.offsetWidth,k=e.isMobile?30:t-2,n=0;d&&d!==b;)k+=d.offsetLeft,n+=d.offsetTop,d=d.parentNode;k+g.offsetWidth>document.body.offsetWidth-this.margin&&!e.isMobile&&(q="right",k=Math.max(this.margin,k-t-g.offsetWidth+6));p||(g.style["borderRadiusTop"+q]=0,g.style["WebkitBorderRadiusTop"+q]=0,g.style["MozBorderRadiusTop"+q]=0,g.style["KhtmlBorderRadiusTop"+q]=0)}else k+g.offsetWidth>document.body.offsetWidth-this.margin&&(k=document.body.offsetWidth-g.offsetWidth-this.margin),e.isMobile&&(k=Math.max(5,k-Math.floor(g.offsetWidth/2)),n-=20),e.skipUp=a.isContextMenu;g.style.left=k+"px";g.style.top=n+"px";document.selection&&document.selection.empty&&document.selection.empty();return r(a)},Remove:function(a,d){f.Post(["unpost",e.jax]);var b=document.getElementById("MathJax_MenuFrame");b&&(b.parentNode.removeChild(b),this.msieFixedPositionBug&&detachEvent("onresize",e.Resize));e.jax.hover&&(delete e.jax.hover.nofade,v.UnHover(e.jax));return r(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,d,b){for(var c=0,g=this.items.length;c<g;c++)if(this.items[c].name[a]===d){if(b.length){if(!this.items[c].menu)break;return this.items[c].menu.FindN(a,b[0],b.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,d){for(var b=0,c=this.items.length;b<c;b++)if(this.items[b].name[a]===d)return b;return null}},{config:h,div:null,Close:function(a){return e.Event(a,this.menu||this.parentNode,this.menu?"Touchend":"Remove")},Remove:function(a){return e.Event(a,this,"Remove")},Mouseover:function(a){return e.Event(a,this,"Mouseover")},Mouseout:function(a){return e.Event(a,this,"Mouseout")},Mousedown:function(a){return e.Event(a,this,"Mousedown")},Mouseup:function(a){return e.Event(a,this,"Mouseup")},Touchstart:function(a){return e.Event(a,this,"Touchstart")},Touchend:function(a){return e.Event(a,this,"Touchend")},Event:function(a,d,b,c){if(e.skipMouseover&&"Mouseover"===b&&!c)return r(a);if(e.skipUp){if(b.match(/Mouseup|Touchend/))return delete e.skipUp,r(a);("Touchstart"===b||"Mousedown"===b&&!e.skipMousedown)&&delete e.skipUp}a||(a=window.event);return(c=d.menuItem)&&c[b]?c[b](a,d):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=c.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:a,onmousedown:this.Remove}]]);var d=a.firstChild;e.msieBackgroundBug&&(d.style.backgroundColor="white",d.style.filter="alpha(opacity\x3d0)");e.msieFixedPositionBug?(a.width=a.height=0,this.Resize(),attachEvent("onresize",this.Resize)):d.style.position="fixed";return a},Resize:function(){setTimeout(e.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(){c.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=c.Cookie.Get("menu")},getImages:function(){e.isMobile&&((new Image).src=h.closeImg)}}),l=e.ITEM=MathJax.Object.Subclass({name:"",Create:function(a){if(!this.hidden){var d={onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmouseup:e.Mouseup,onmousedown:e.Mousedown,ondragstart:r,onselectstart:r,onselectend:r,ontouchstart:e.Touchstart,ontouchend:e.Touchend,className:"MathJax_MenuItem",menuItem:this};this.disabled&&(d.className+=" MathJax_MenuDisabled");c.addElement(a,"div",d,this.Label(d,a))}},Name:function(){return k(this.name[0],this.name[1])},Mouseover:function(a,d){this.disabled||this.Activate(d);if(!this.menu||!this.menu.posted){for(var b=document.getElementById("MathJax_MenuFrame").childNodes,c=d.parentNode.childNodes,g=0,f=c.length;g<f;g++){var k=c[g].menuItem;k&&k.menu&&k.menu.posted&&k.Deactivate(c[g])}for(f=b.length-1;0<=f&&d.parentNode.menuItem!==b[f].menuItem;)b[f].menuItem.posted=!1,b[f].parentNode.removeChild(b[f]),f--;this.Timer&&!e.isMobile&&this.Timer(a,d)}},Mouseout:function(a,d){this.menu&&this.menu.posted||this.Deactivate(d);this.timer&&(clearTimeout(this.timer),delete this.timer)},Mouseup:function(a,d){return this.Remove(a,d)},Touchstart:function(a,d){return this.TouchEvent(a,d,"Mousedown")},Touchend:function(a,d){return this.TouchEvent(a,d,"Mouseup")},TouchEvent:function(a,d,b){this!==l.lastItem&&(l.lastMenu&&e.Event(a,l.lastMenu,"Mouseout"),e.Event(a,d,"Mouseover",!0),l.lastItem=this,l.lastMenu=d);if(this.nativeTouch)return null;e.Event(a,d,b);return!1},Remove:function(a,d){d=d.parentNode.menuItem;return d.Remove(a,d)},Activate:function(a){this.Deactivate(a);a.className+=" MathJax_MenuActive"},Deactivate:function(a){a.className=a.className.replace(/ MathJax_MenuActive/,"")},With:function(d){d&&a.Insert(this,d);return this}});e.ITEM.COMMAND=e.ITEM.Subclass({action:function(){},Init:function(a,d,b){a instanceof Array||(a=[a,a]);this.name=a;this.action=d;this.With(b)},Label:function(a,d){return[this.Name()]},Mouseup:function(a,d){this.disabled||(this.Remove(a,d),f.Post(["command",this]),this.action.call(this,a));return r(a)}});e.ITEM.SUBMENU=e.ITEM.Subclass({menu:null,marker:p&&!a.Browser.isSafari?"\u25b6":"\u25b8",Init:function(a,d){a instanceof Array||(a=[a,a]);this.name=a;var b=1;d instanceof e.ITEM||(this.With(d),b++);this.menu=e.apply(e,[].slice.call(arguments,b))},Label:function(a,d){this.menu.posted=!1;return[this.Name()+" 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b={className:"MathJax_MenuRadioCheck"};h.settings[this.variable]!==this.value&&(b={style:{display:"none"}});return[["span",b,[this.marker]]," "+this.Name()]},Mouseup:function(a,d){if(!this.disabled){for(var b=d.parentNode.childNodes,c=0,g=b.length;c<g;c++){var k=b[c].menuItem;k&&k.variable===this.variable&&(b[c].firstChild.style.display="none")}d.firstChild.display="";h.settings[this.variable]=this.value;e.cookie[this.variable]=h.settings[this.variable];e.saveCookie();f.Post(["radio button",this])}this.Remove(a,d);this.action&&!this.disabled&&this.action.call(e,this);return r(a)}});e.ITEM.CHECKBOX=e.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(a,d,b){a instanceof Array||(a=[a,a]);this.name=a;this.variable=d;this.With(b)},Label:function(a,d){var b={className:"MathJax_MenuCheck"};h.settings[this.variable]||(b={style:{display:"none"}});return[["span",b,[this.marker]]," "+this.Name()]},Mouseup:function(a,d){this.disabled||(d.firstChild.display=h.settings[this.variable]?"none":"",h.settings[this.variable]=!h.settings[this.variable],e.cookie[this.variable]=h.settings[this.variable],e.saveCookie(),f.Post(["checkbox",this]));this.Remove(a,d);this.action&&!this.disabled&&this.action.call(e,this);return r(a)}});e.ITEM.LABEL=e.ITEM.Subclass({Init:function(a,d){a instanceof Array||(a=[a,a]);this.name=a;this.With(d)},Label:function(a,d){delete a.onmouseover;delete a.onmouseout;delete a.onmousedown;a.className+=" MathJax_MenuLabel";return[this.Name()]}});e.ITEM.RULE=e.ITEM.Subclass({Label:function(a,d){delete a.onmouseover;delete a.onmouseout;delete a.onmousedown;a.className+=" MathJax_MenuRule";return null}});e.About=function(){var d=g["HTML-CSS"]||{},b=(d.imgFonts?"image":d.fontInUse?(d.webFonts?"web":"local")+" "+d.fontInUse:g.SVG?"web SVG":"generic")+" fonts",d=!d.webFonts||d.imgFonts?null:d.allowWebFonts.replace(/otf/,"woff or otf")+" fonts",f=["MathJax.js 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d)d.hasOwnProperty(f)&&d[f]&&(c&&d[f].version||d[f].isa&&d[f].isa(d))&&g.push(k(b[0],b[1],d[f].id||f,d[f].version));g.sort();d=0;for(b=g.length;d<b;d++)a.push(g[d],["br"]);return a};e.Help=function(){b.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};e.ShowSource=function(a){a||(a=window.event);var c={screenX:a.screenX,screenY:a.screenY};if(e.jax)if("MathML"===this.format){var g=MathJax.ElementJax.mml;if(g&&"undefined"!==typeof g.mbase.prototype.toMathML)try{e.ShowSource.Text(e.jax.root.toMathML(),a)}catch(f){if(!f.restart)throw f;d.After([this,e.ShowSource,c],f.restart)}else b.loadingToMathML||(b.loadingToMathML=!0,e.ShowSource.Window(a),d.Queue(b.Require("[MathJax]/extensions/toMathML.js"),function(){delete b.loadingToMathML;g.mbase.prototype.toMathML||(g.mbase.prototype.toMathML=function(){})},[this,e.ShowSource,c]))}else"Error"===this.format?e.ShowSource.Text(e.jax.errorText,a):null==e.jax.originalText?alert(k("NoOriginalForm","No original form available")):e.ShowSource.Text(e.jax.originalText,a)};e.ShowSource.Window=function(a){if(!e.ShowSource.w){a=[];var d=h.windowSettings,b;for(b in d)d.hasOwnProperty(b)&&a.push(b+"\x3d"+d[b]);e.ShowSource.w=window.open("","_blank",a.join(","))}return e.ShowSource.w};e.ShowSource.Text=function(a,d){var b=e.ShowSource.Window(d);delete e.ShowSource.w;a=a.replace(/^\s*/,"").replace(/\s*$/,"");a=a.replace(/&/g,"\x26amp;").replace(/</g,"\x26lt;").replace(/>/g,"\x26gt;");var c=k("EqSource","MathJax Equation Source");if(e.isMobile)b.document.open(),b.document.write("\x3chtml\x3e\x3chead\x3e\x3cmeta name\x3d'viewport' content\x3d'width\x3ddevice-width, initial-scale\x3d1.0' /\x3e\x3ctitle\x3e"+c+"\x3c/title\x3e\x3c/head\x3e\x3cbody style\x3d'font-size:85%'\x3e"),b.document.write("\x3cpre\x3e"+a+"\x3c/pre\x3e"),b.document.write("\x3chr\x3e\x3cinput type\x3d'button' value\x3d'"+k("Close","Close")+"' onclick\x3d'window.close()' /\x3e"),b.document.write("\x3c/body\x3e\x3c/html\x3e"),b.document.close();else{b.document.open();b.document.write("\x3chtml\x3e\x3chead\x3e\x3ctitle\x3e"+c+"\x3c/title\x3e\x3c/head\x3e\x3cbody style\x3d'font-size:85%'\x3e");b.document.write("\x3ctable\x3e\x3ctr\x3e\x3ctd\x3e\x3cpre\x3e"+a+"\x3c/pre\x3e\x3c/td\x3e\x3c/tr\x3e\x3c/table\x3e");b.document.write("\x3c/body\x3e\x3c/html\x3e");b.document.close();var g=b.document.body.firstChild;setTimeout(function(){var a=b.outerHeight-b.innerHeight||30,c=b.outerWidth-b.innerWidth||30,c=Math.max(100,Math.min(Math.floor(.5*screen.width),g.offsetWidth+c+25)),a=Math.max(40,Math.min(Math.floor(.5*screen.height),g.offsetHeight+a+25));b.resizeTo(c,a);d&&null!=d.screenX&&(c=Math.max(0,Math.min(d.screenX-Math.floor(c/2),screen.width-c-20)),a=Math.max(0,Math.min(d.screenY-Math.floor(a/2),screen.height-a-20)),b.moveTo(c,a))},50)}};e.Scale=function(){var d=g["HTML-CSS"],b=g.NativeMML,c=g.SVG,f=(d||b||c||{config:{scale:100}}).config.scale,h=prompt(k("ScaleMath","Scale all mathematics (compared to surrounding text) by"),f+"%");h&&(h.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)?(h=parseFloat(h))?h!==f&&(d&&(d.config.scale=h),b&&(b.config.scale=h),c&&(c.config.scale=h),e.cookie.scale=h,e.saveCookie(),a.Reprocess()):alert(k("NonZeroScale","The scale should not be zero")):alert(k("PercentScale","The scale should be a percentage (e.g., 120%%)")))};e.Zoom=function(){MathJax.Extension.MathZoom||b.Require("[MathJax]/extensions/MathZoom.js")};e.Renderer=function(){var d=a.outputJax["jax/mml"];if(d[0]!==h.settings.renderer){var b=a.Browser,g,f=e.Renderer.Messages,l;switch(h.settings.renderer){case "NativeMML":h.settings.warnedMML||(b.isChrome&&"24."!==b.version.substr(0,3)?g=f.MML.WebKit:b.isSafari&&!b.versionAtLeast("5.0")?g=f.MML.WebKit:b.isMSIE?b.hasMathPlayer||(g=f.MML.MSIE):g=f.MML[b],l="warnedMML");break;case "SVG":h.settings.warnedSVG||!b.isMSIE||n||(g=f.SVG.MSIE)}if(g){g=k(g[0],g[1]);g=g+"\n\n"+k("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");e.cookie.renderer=d[0].id;e.saveCookie();if(!confirm(g)){e.cookie.renderer=h.settings.renderer=c.Cookie.Get("menu").renderer;e.saveCookie();return}l&&(e.cookie.warned=h.settings.warned=!0);e.cookie.renderer=h.settings.renderer;e.saveCookie()}a.Queue(["setRenderer",a,h.settings.renderer,"jax/mml"],["Rerender",a])}};e.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."]}};e.Font=function(){g["HTML-CSS"]&&document.location.reload()};e.Locale=function(){MathJax.Localization.setLocale(h.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};e.LoadLocale=function(){var a=prompt(k("LoadURL","Load translation data from this URL:"));a&&(a.match(/\.js$/)||alert(k("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(d){d!=b.STATUS.OK&&alert(k("BadData","Failed to load translation data from %1",a))}))};e.MPEvents=function(a){var d=h.settings.discoverable,b=e.MPEvents.Messages;n?!d&&"Menu Events"===a.name[1]&&h.settings.mpContext&&alert(k.apply(k,b.IE9warning)):h.settings.mpMouse&&!confirm(k.apply(k,b.IE8warning))?(delete e.cookie.mpContext,delete h.settings.mpContext,delete e.cookie.mpMouse,delete h.settings.mpMouse,e.saveCookie()):(h.settings.mpContext=h.settings.mpMouse,e.cookie.mpContext=e.cookie.mpMouse=h.settings.mpMouse,e.saveCookie(),MathJax.Hub.Queue(["Rerender",MathJax.Hub]))};e.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};a.Browser.Select({MSIE:function(a){var d="BackCompat"===document.compatMode;a=a.versionAtLeast("8.0")&&7<document.documentMode;e.Augment({margin:20,msieBackgroundBug:9>document.documentMode,msieFixedPositionBug:d||!a,msieAboutBug:d});n&&(delete h.styles["#MathJax_About"].filter,delete h.styles[".MathJax_Menu"].filter)},Firefox:function(a){e.skipMouseover=a.isMobile&&a.versionAtLeast("6.0");e.skipMousedown=a.isMobile}});e.isMobile=a.Browser.isMobile;e.noContextMenu=a.Browser.noContextMenu;e.CreateLocaleMenu=function(){if(e.menu){var a=e.menu.Find("Language").menu,d=a.items,b=[],c=MathJax.Localization.strings,g;for(g in c)c.hasOwnProperty(g)&&b.push(g);b=b.sort();a.items=[];g=0;for(var f=b.length;g<f;g++){var k=c[b[g]].menuTitle,k=k?k+(" ("+b[g]+")"):b[g];a.items.push(l.RADIO([b[g],k],"locale",{action:e.Locale}))}a.items.push(d[d.length-2],d[d.length-1])}};a.Register.StartupHook("End Config",function(){h.settings=a.config.menuSettings;"undefined"!==typeof h.settings.showRenderer&&(h.showRenderer=h.settings.showRenderer);"undefined"!==typeof h.settings.showFontMenu&&(h.showFontMenu=h.settings.showFontMenu);"undefined"!==typeof h.settings.showContext&&(h.showContext=h.settings.showContext);e.getCookie();e.menu=e(l.SUBMENU(["Show","Show Math As"],l.COMMAND(["MathMLcode","MathML Code"],e.ShowSource,{nativeTouch:!0,format:"MathML"}),l.COMMAND(["Original","Original Form"],e.ShowSource,{nativeTouch:!0}),l.RULE(),l.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),l.RULE(),l.SUBMENU(["Settings","Math Settings"],l.SUBMENU(["ZoomTrigger","Zoom Trigger"],l.RADIO(["Hover","Hover"],"zoom",{action:e.Zoom}),l.RADIO(["Click","Click"],"zoom",{action:e.Zoom}),l.RADIO(["DoubleClick","Double-Click"],"zoom",{action:e.Zoom}),l.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),l.RULE(),l.LABEL(["TriggerRequires","Trigger Requires:"]),l.CHECKBOX(a.Browser.isMac?["Option","Option"]:["Alt","Alt"],"ALT"),l.CHECKBOX(["Command","Command"],"CMD",{hidden:!a.Browser.isMac}),l.CHECKBOX(["Control","Control"],"CTRL",{hidden:a.Browser.isMac}),l.CHECKBOX(["Shift","Shift"],"Shift")),l.SUBMENU(["ZoomFactor","Zoom Factor"],l.RADIO("125%","zscale"),l.RADIO("133%","zscale"),l.RADIO("150%","zscale"),l.RADIO("175%","zscale"),l.RADIO("200%","zscale"),l.RADIO("250%","zscale"),l.RADIO("300%","zscale"),l.RADIO("400%","zscale")),l.RULE(),l.SUBMENU(["Renderer","Math Renderer"],{hidden:!h.showRenderer},l.RADIO("HTML-CSS","renderer",{action:e.Renderer}),l.RADIO("MathML","renderer",{action:e.Renderer,value:"NativeMML"}),l.RADIO("SVG","renderer",{action:e.Renderer})),l.SUBMENU("MathPlayer",{hidden:!a.Browser.isMSIE||!h.showMathPlayer,disabled:!a.Browser.hasMathPlayer},l.LABEL(["MPHandles","Let MathPlayer Handle:"]),l.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:e.MPEvents,hidden:!n}),l.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:e.MPEvents,hidden:!n}),l.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:e.MPEvents,hidden:n})),l.SUBMENU(["FontPrefs","Font Preference"],{hidden:!h.showFontMenu},l.LABEL(["ForHTMLCSS","For HTML-CSS:"]),l.RADIO(["Auto","Auto"],"font",{action:e.Font}),l.RULE(),l.RADIO(["TeXLocal","TeX (local)"],"font",{action:e.Font}),l.RADIO(["TeXWeb","TeX (web)"],"font",{action:e.Font}),l.RADIO(["TeXImage","TeX (image)"],"font",{action:e.Font}),l.RULE(),l.RADIO(["STIXlocal","STIX (local)"],"font",{action:e.Font})),l.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!h.showContext},l.RADIO("MathJax","context"),l.RADIO(["Browser","Browser"],"context")),l.COMMAND(["Scale","Scale All Math ..."],e.Scale),l.RULE().With({hidden:!h.showDiscoverable,name:["","discover_rule"]}),l.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!h.showDiscoverable})),l.SUBMENU(["Locale","Language"],{hidden:!h.showLocale},l.RADIO("en","locale",{action:e.Locale}),l.RULE().With({hidden:!h.showLocaleURL,name:["","localURL_rule"]}),l.COMMAND(["LoadLocale","Load from URL ..."],e.LoadLocale,{hidden:!h.showLocaleURL})),l.RULE(),l.COMMAND(["About","About MathJax"],e.About),l.COMMAND(["Help","MathJax Help"],e.Help));if(e.isMobile){var d=h.settings,b=e.menu.Find("Math Settings","Zoom Trigger").menu;b.items[0].disabled=b.items[1].disabled=!0;if("Hover"===d.zoom||"Click"==d.zoom)d.zoom="None";b.items=b.items.slice(0,4);navigator.appVersion.match(/[ (]Android[) ]/)&&e.ITEM.SUBMENU.Augment({marker:"\u00bb"})}e.CreateLocaleMenu()});e.showRenderer=function(a){e.cookie.showRenderer=h.showRenderer=a;e.saveCookie();e.menu.Find("Math Settings","Math Renderer").hidden=!a};e.showMathPlayer=function(a){e.cookie.showMathPlayer=h.showMathPlayer=a;e.saveCookie();e.menu.Find("Math Settings","MathPlayer").hidden=!a};e.showFontMenu=function(a){e.cookie.showFontMenu=h.showFontMenu=a;e.saveCookie();e.menu.Find("Math Settings","Font Preference").hidden=!a};e.showContext=function(a){e.cookie.showContext=h.showContext=a;e.saveCookie();e.menu.Find("Math Settings","Contextual Menu").hidden=!a};e.showDiscoverable=function(a){e.cookie.showDiscoverable=h.showDiscoverable=a;e.saveCookie();e.menu.Find("Math Settings","Highlight on Hover").hidden=!a;e.menu.Find("Math Settings","discover_rule").hidden=!a};e.showLocale=function(a){e.cookie.showLocale=h.showLocale=a;e.saveCookie();e.menu.Find("Language").hidden=!a};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){MathJax.OutputJax["HTML-CSS"].config.imageFont||(e.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=!0)});d.Queue(a.Register.StartupHook("End Config",{}),["getImages",e],["Styles",b,h.styles],["Post",a.Startup.signal,"MathMenu 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