/* * /MathJax/config/TeX-AMS_HTML-full.js * * Copyright (c) 2010-11 Design Science, Inc. * * 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.Ajax.Preloading( "[MathJax]/jax/input/TeX/config.js", "[MathJax]/jax/output/HTML-CSS/config.js", "[MathJax]/extensions/tex2jax.js", "[MathJax]/extensions/MathEvents.js", "[MathJax]/extensions/MathZoom.js", "[MathJax]/extensions/MathMenu.js", "[MathJax]/jax/element/mml/jax.js", "[MathJax]/extensions/toMathML.js", "[MathJax]/extensions/TeX/noErrors.js", "[MathJax]/extensions/TeX/noUndefined.js", "[MathJax]/jax/input/TeX/jax.js", "[MathJax]/extensions/TeX/AMSmath.js", "[MathJax]/extensions/TeX/AMSsymbols.js", "[MathJax]/jax/output/HTML-CSS/jax.js", "[MathJax]/jax/output/HTML-CSS/autoload/mtable.js" ); MathJax.Hub.Config({"v1.0-compatible":false}); MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.10",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+a},formatURL:function(a){return"#mjx-eqn-"+escape(a)}}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"1.1.15",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:false,EqnChunk:50,EqnChunkFactor:1.5,EqChunkDelay:100,linebreaks:{automatic:false,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=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var q=new Image();q.src=o.button.src}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastr){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); (function(c,f,j,e,b){var o="1.1.9";var i=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:o,signal:i};var m=c.Browser.isPC,k=c.Browser.isMSIE;var h=(m?null:"5px");var n=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",closeImg:j.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(m?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","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","z-index":201,"border-radius":h,"-webkit-border-radius":h,"-moz-border-radius":h,"-khtml-border-radius":h,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(m?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(m?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(k?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(k?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(m?"1em":".7em")},".MathJax_MenuLabel":{padding:(m?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(m?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(m?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(m?"Highlight":"#606872"),color:(m?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var g,d;c.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:o,items:[],posted:false,title:null,margin:5,Init:function(p){this.items=[].slice.call(arguments,0)},With:function(p){if(p){c.Insert(this,p)}return this},Post:function(q,A){if(!q){q=window.event}var w=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var p=document.getElementById("MathJax_MenuFrame");if(!p){p=a.Background(this);delete l.lastItem;delete l.lastMenu;delete a.skipUp;i.Post(["post",a.jax])}var r=f.addElement(p,"div",{onmouseup:a.Mouseup,ondblclick:g,ondragstart:g,onselectstart:g,oncontextmenu:g,menuItem:this,className:"MathJax_Menu"},w);for(var t=0,s=this.items.length;tdocument.body.offsetWidth-this.margin){z=document.body.offsetWidth-r.offsetWidth-this.margin}if(a.isMobile){z=Math.max(5,z-Math.floor(r.offsetWidth/2));v-=20}a.skipUp=q.isContextMenu}else{var u="left",B=A.offsetWidth;z=(a.isMobile?30:B-2);v=0;while(A&&A!==p){z+=A.offsetLeft;v+=A.offsetTop;A=A.parentNode}if(z+r.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){u="right";z=Math.max(this.margin,z-B-r.offsetWidth+6)}if(!m){r.style["borderRadiusTop"+u]=0;r.style["WebkitBorderRadiusTop"+u]=0;r.style["MozBorderRadiusTop"+u]=0;r.style["KhtmlBorderRadiusTop"+u]=0}}r.style.left=z+"px";r.style.top=v+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return g(q)},Remove:function(p,q){i.Post(["unpost",a.jax]);var r=document.getElementById("MathJax_MenuFrame");if(r){r.parentNode.removeChild(r);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return g(p)},Find:function(q){var s=[].slice.call(arguments,1);for(var r=0,p=this.items.length;r=0&&v.parentNode.menuItem!==u[p].menuItem){u[p].menuItem.posted=false;u[p].parentNode.removeChild(u[p]);p--}if(this.Timer&&!a.isMobile){this.Timer(t,v)}}},Mouseout:function(p,q){if(!this.menu||!this.menu.posted){this.Deactivate(q)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(p,q){return this.Remove(p,q)},Touchstart:function(p,q){return this.TouchEvent(p,q,"Mousedown")},Touchend:function(p,q){return this.TouchEvent(p,q,"Mouseup")},TouchEvent:function(q,r,p){if(this!==l.lastItem){if(l.lastMenu){a.Event(q,l.lastMenu,"Mouseout")}a.Event(q,r,"Mouseover",true);l.lastItem=this;l.lastMenu=r}if(this.nativeTouch){return null}a.Event(q,r,p);return false},Remove:function(p,q){q=q.parentNode.menuItem;return q.Remove(p,q)},Activate:function(p){this.Deactivate(p);p.className+=" MathJax_MenuActive"},Deactivate:function(p){p.className=p.className.replace(/ MathJax_MenuActive/,"")},With:function(p){if(p){c.Insert(this,p)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(p,r,q){this.name=p;this.action=r;this.With(q)},Label:function(p,q){return[this.name]},Mouseup:function(p,q){if(!this.disabled){this.Remove(p,q);i.Post(["command",this]);this.action.call(this,p)}return g(p)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(m&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(p,r){this.name=p;var q=1;if(!(r instanceof a.ITEM)){this.With(r),q++}this.menu=a.apply(a,[].slice.call(arguments,q))},Label:function(p,q){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(p,q){if(this.timer){clearTimeout(this.timer)}p={clientX:p.clientX,clientY:p.clientY};this.timer=setTimeout(e(["Mouseup",this,p,q]),n.delay)},Touchend:function(q,s){var r=this.menu.posted;var p=this.SUPER(arguments).Touchend.apply(this,arguments);if(r){this.Deactivate(s);delete l.lastItem;delete l.lastMenu}return p},Mouseup:function(q,s){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(q,s)}else{var r=document.getElementById("MathJax_MenuFrame").childNodes,p=r.length-1;while(p>=0){var t=r[p];t.menuItem.posted=false;t.parentNode.removeChild(t);if(t.menuItem===this.menu){break}p--}}}return g(q)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(m?"\u25CF":"\u2713"),Init:function(q,p,r){this.name=q;this.variable=p;this.With(r);if(this.value==null){this.value=this.name}},Label:function(q,r){var p={className:"MathJax_MenuRadioCheck"};if(n.settings[this.variable]!==this.value){p={style:{display:"none"}}}return[["span",p,[this.marker]]," "+this.name]},Mouseup:function(s,t){if(!this.disabled){var u=t.parentNode.childNodes;for(var q=0,p=u.length;q/g,">");if(a.isMobile){r.document.open();r.document.write("MathJax Equation Source");r.document.write("
"+v+"
");r.document.write("
");r.document.write("");r.document.close()}else{r.document.open();r.document.write("MathJax Equation Source");r.document.write("
"+v+"
");r.document.write("");r.document.close();var t=r.document.body.firstChild;var s=(r.outerHeight-r.innerHeight)||30,q=(r.outerWidth-r.innerWidth)||30;q=Math.min(Math.floor(0.5*screen.width),t.offsetWidth+q+25);s=Math.min(Math.floor(0.5*screen.height),t.offsetHeight+s+25);r.resizeTo(q,s);if(u&&u.screenX!=null){var p=Math.max(0,Math.min(u.screenX-Math.floor(q/2),screen.width-q-20)),z=Math.max(0,Math.min(u.screenY-Math.floor(s/2),screen.height-s-20));r.moveTo(p,z)}}delete a.ShowSource.w};a.Scale=function(){var q=b["HTML-CSS"],p=b.NativeMML;var s=(q?q.config.scale:p.config.scale);var r=prompt("Scale all mathematics (compared to surrounding text) by",s+"%");if(r){if(r.match(/^\s*\d+\s*%?\s*$/)){r=parseInt(r);if(r){if(r!==s){if(q){q.config.scale=r}if(p){p.config.scale=r}a.cookie.scale=r;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){j.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var p=c.outputJax["jax/mml"];if(p[0]!==n.settings.renderer){c.Queue(["setRenderer",c,n.settings.renderer,"jax/mml"],["Rerender",c])}};a.Font=function(){var p=b["HTML-CSS"];if(!p){return}document.location.reload()};c.Browser.Select({MSIE:function(p){var q=(document.compatMode==="BackCompat");var r=p.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(q||!r),msieAboutBug:q});if(document.documentMode>=9){delete n.styles["#MathJax_About"].filter;delete n.styles[".MathJax_Menu"].filter}},Firefox:function(p){a.skipMouseover=p.isMobile&&p.versionAtLeast("6.0");a.skipMousedown=p.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){n.settings=c.config.menuSettings;if(typeof(n.settings.showRenderer)!=="undefined"){n.showRenderer=n.settings.showRenderer}if(typeof(n.settings.showFontMenu)!=="undefined"){n.showFontMenu=n.settings.showFontMenu}if(typeof(n.settings.showContext)!=="undefined"){n.showContext=n.settings.showContext}a.getCookie();a.menu=a(l.SUBMENU("Show Math As",l.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),l.COMMAND("Original Form",a.ShowSource,{nativeTouch:true})),l.RULE(),l.SUBMENU("Math Settings",l.SUBMENU("Zoom Trigger",l.RADIO("Hover","zoom",{action:a.Zoom}),l.RADIO("Click","zoom",{action:a.Zoom}),l.RADIO("Double-Click","zoom",{action:a.Zoom}),l.RADIO("No Zoom","zoom",{value:"None"}),l.RULE(),l.LABEL("Trigger Requires:"),l.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),l.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),l.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),l.CHECKBOX("Shift","Shift")),l.SUBMENU("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("Math Renderer",{hidden:!n.showRenderer},l.RADIO("HTML-CSS","renderer",{action:a.Renderer}),l.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"})),l.SUBMENU("Font Preference",{hidden:!n.showFontMenu},l.LABEL("For HTML-CSS:"),l.RADIO("Auto","font",{action:a.Font}),l.RULE(),l.RADIO("TeX (local)","font",{action:a.Font}),l.RADIO("TeX (web)","font",{action:a.Font}),l.RADIO("TeX (image)","font",{action:a.Font}),l.RULE(),l.RADIO("STIX (local)","font",{action:a.Font})),l.SUBMENU("Contextual Menu",{hidden:!n.showContext},l.RADIO("MathJax","context"),l.RADIO("Browser","context")),l.COMMAND("Scale All Math ...",a.Scale),l.RULE().With({hidden:true}),l.CHECKBOX("Highlight on Hover","discoverable",{hidden:true})),l.RULE(),l.COMMAND("About 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n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em0&&(m+o)*this.em0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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l=o.remap[v];v=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{v=o.remap[v];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}if(this.FONTDATA.REMAP[v]&&!o.noRemap){v=this.FONTDATA.REMAP[v]}s=this.lookupChar(o,v);B=s[v];if(o!==A&&!B[5].img){if(x.length){this.addText(j,x);x=""}j=y;A=k;if(o!==A){if(A){j=this.addElement(y,"span",{isMathJax:true})}else{k=o}}this.handleFont(j,s,j!==y);A=o}x=this.handleChar(j,s,B,v,x);if(B[0]/1000>y.bbox.h){y.bbox.h=B[0]/1000}if(B[1]/1000>y.bbox.d){y.bbox.d=B[1]/1000}if(y.bbox.w+B[3]/1000y.bbox.rw){y.bbox.rw=y.bbox.w+B[4]/1000}y.bbox.w+=B[2]/1000}if(x.length){this.addText(j,x)}if(y.scale&&y.scale!==1){y.bbox.h*=y.scale;y.bbox.d*=y.scale;y.bbox.w*=y.scale;y.bbox.lw*=y.scale;y.bbox.rw*=y.scale}if(r.length==1&&s.skew&&s.skew[v]){y.bbox.skew=s.skew[v]}},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,q,p,o){var m=q[5];if(m.img){return this.handleImg(k,j,q,p,o)}if(m.isUnknown&&this.FONTDATA.DELIMITERS[p]){if(o.length){this.addText(k,o)}var l=k.scale;d.createDelimiter(k,p,0,1,j);k.scale=l;q[0]=k.bbox.h*1000;q[1]=k.bbox.d*1000;q[2]=k.bbox.w*1000;q[3]=k.bbox.lw*1000;q[4]=k.bbox.rw*1000;return""}if(m.c==null){if(p<=65535){m.c=String.fromCharCode(p)}else{m.c=this.PLANE1+String.fromCharCode(p-119808+56320)}}if(m.rfix){this.addText(k,m.c);d.createShift(k,m.rfix/1000);return""}if(q[2]||!this.msieAccentBug||o.length){return o+m.c}d.createShift(k,q[3]/1000);d.createShift(k,(q[4]-q[3])/1000);this.addText(k,m.c);d.createShift(k,-q[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.HTMLspanElement()},HTMLstretchV:function(k,j,l){return this.HTMLspanElement()},HTMLnotEmpty:function(j){while(j){if((j.type!=="mrow"&&j.type!=="texatom")||j.data.length>1){return true}j=j.data[0]}return false},HTMLmeasureChild:function(k,j){if(this.data[k]){d.Measured(this.data[k].toHTML(j),j)}else{j.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(k,j){if(this.data[k]){return this.data[k].toHTML(j)}return null},HTMLcreateSpan:function(j){if(this.spanID){var k=this.HTMLspanElement();if(k){while(k.firstChild){k.removeChild(k.firstChild)}k.bbox={w:0,h:0,d:0,lw:0,rw:0};k.scale=1;k.isMultChar=null;k.style.cssText="";return k}}if(this.href){j=d.addElement(j,"a",{href:this.href,isMathJax:true})}j=d.addElement(j,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){j.style.display="inline-block"}if(this["class"]!=null){j.className+=" 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