diff --git a/config/Accessible-full.js b/config/Accessible-full.js
index d635092a9..9bcfc7c91 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -89,7 +89,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"1.1.3"};MathJax.Hub.Register.Start
 
 (function(j,b,f,d){var e,h=b.Browser.isMSIE;var g,a,c,i;b.Register.StartupHook("MathZoom Ready",function(){i=MathJax.Extension.MathZoom});j.Augment({config:{styles:{".MathJax_mmlExBox":{display:"block",overflow:"hidden",height:"1px",width:"60ex",padding:0,border:0,margin:0}}},settings:b.config.menuSettings,Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(b.config.displayAlign!=="center"){var m=b.config.displayAlign,k=b.config.displayIndent;var l={"text-align":m+"!important"};l["margin-"+m]=k+"!important";MathJax.Hub.Insert(this.config.styles,{"div.MathJax_MathML":l,"div.MathJax_MathML math":{"text-align":m},"div.MathJax_MathContainer > span":{"text-align":m+"!important"}})}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;if(!h){this.EmExSpan=d.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);e.math(e.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return f.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(h){try{var k=document.createElement("object");k.id="mathplayer";k.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(k);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(l){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  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(l){var r=l.jax[this.id],s,n=r.length,w,p,y,u,x,k,t,q,o;for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}if(!this.initialized){this.InitializeMML()}p=w.previousSibling;if(p&&p.className==="MathJax_MathML"){p.parentNode.removeChild(p)}k=w.MathJax.elementJax;x=k.root;k.NativeMML={};var v=(x.Get("display")==="block"?"div":"span");y=d.Element(v,{className:"MathJax_MathML",id:k.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);w.parentNode.insertBefore(y,w);if(!h){w.parentNode.insertBefore(this.EmExSpan.cloneNode(true),w)}}for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}k=w.MathJax.elementJax;if(!h){u=w.previousSibling;y=u.previousSibling;t=u.firstChild.offsetWidth/60;q=u.lastChild.offsetWidth/60;if(t===0||t==="NaN"){t=this.defaultEx;q=this.defaultMEx}o=(q>1?t/q:1)*this.config.scale;o=Math.floor(Math.max(this.config.minScaleAdjust/100,o))}else{o=100}k.NativeMML.fontSize=o+"%"}if(!h){for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}u=r[s].previousSibling;u.parentNode.removeChild(u)}}},Translate:function(m){if(!m.parentNode){return}var l=m.MathJax.elementJax,q=l.root;var o=document.getElementById(l.inputID+"-Frame"),k=o.firstChild,r=k.firstChild;o.style.fontSize=l.NativeMML.fontSize;try{q.toNativeMML(r)}catch(p){if(p.restart){while(r.firstChild){r.removeChild(r.firstChild)}}throw p}if(h){if(k.addEventListener){k.addEventListener("contextmenu",g.Menu,true);k.addEventListener("mouseover",g.Mouseover,true);k.addEventListener("mouseout",g.Mouseout,true);k.addEventListener("mousedown",g.Mousedown,true);k.addEventListener("mouseup",g.False,true);k.addEventListener("click",g.Click,true);k.addEventListener("dblclick",g.DblClick,true)}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE){this.MSIEoverlay(k)}else{k.style.position=""}}}else{k.oncontextmenu=g.Menu;k.onmouseover=g.Mouseover;k.onmouseout=g.Mouseout;k.onmousedown=g.Mousedown;k.onclick=g.Click;k.ondblclick=g.DblClick}},postTranslate:function(l){if(this.forceReflow){var k=(document.styleSheets||[])[0]||{};k.disabled=true;k.disabled=false}},Remove:function(k){var l=k.SourceElement();if(!l){return}l=l.previousSibling;if(!l){return}if(l.className.match(/MathJax_MathML/)){l.parentNode.removeChild(l)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(k){var l=k.firstChild;if(l.nodeName.toLowerCase()==="span"){l=l.firstChild}var m=this.getHoverBBox(null,l,{});d.addElement(k,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:c.Px(-m.w),top:c.Px(-m.h-(m.y||0)-1),width:c.Px(m.w),height:c.Px(m.h+m.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);b.Insert(k,{msieMath:l,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var l=window.event;var k=j.MSIEevents[l.type];if(j[k]&&j[k](l,this)===false){return false}if(i&&i.HandleEvent(l,k,this)===false){return false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},getJaxFromMath:function(k){return b.getJaxFor(k.parentNode.nextSibling)},getHoverSpan:function(k,l){return l.firstChild},getHoverBBox:function(k,l,m){return g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r,r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var q=this.defaults;var s=(this.mmlAttributes||this.NativeMMLcopyAttributes),p=this.NativeMMLskipAttributes;if(!this.mmlAttributes){if(this.type==="mstyle"){q=e.math.prototype.defaults}for(var r in q){if(!p[r]&&q.hasOwnProperty(r)){if(this[r]!=null){n.setAttribute(r,this.NativeMMLattribute(r,this[r]))}}}}for(var o=0,l=s.length;o<l;o++){if(this[s[o]]!=null){n.setAttribute(s[o],this.NativeMMLattribute(s[o],this[s[o]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(m,l){l=String(l);if(j.NAMEDSPACE[l]){l=j.NAMEDSPACE[l]}else{if(l.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){l=((1/18)*RegExp.$1).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(l==="-tex-caligraphic"){l="script"}else{if(l==="-tex-oldstyle"){l="normal"}}}}return l},NativeMMLelement:function(l){var m=(h?document.createElement("mjx:"+l):document.createElementNS(j.MMLnamespace,l));m.isMathJax=true;return m}});e.mrow.Augment({toNativeMML:function(o){if(this.inferred&&this.parent.inferRow){for(var n=0,l=this.data.length;n<l;n++){if(this.data[n]){this.data[n].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,o)}}});e.msubsup.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});e.mlabeledtr.Augment({toNativeMML:function(p){var n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}});var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+k+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+k+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+k+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+k+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Caligraphic-Bold.otf')"}}}})}e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 
-(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],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,"white-space":"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=(m===1?this.Em(l+n):k+"px"),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.initialSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.initialSkipBug){m=n.w-n.rw-0.1;o+=n.lw}if(this.msieMarginScaleBug){o=(o*this.em)+"px"}else{o=this.Em(o)}if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));var k=j.bbox;if(k){k.w=i;k.exactW=true}k=j.parentNode.bbox;if(k){k.w=i;k.exactW=true}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}if(k.load){d.RestartAfter(c.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=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 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B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));if(!C.fillExtenders){o=(l-s)/(y*v)}t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d,exactW:true};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.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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x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.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(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var j=i.style||"normal",l=i.weight||"normal";if(j!=="normal"||m){k.style.fontStyle=j}if(l!=="normal"||m){k.style.fontWeight=l}}},handleChar:function(j,i,p,o,m){var l=p[5];if(l.img){return this.handleImg(j,i,p,o,m)}if(l.isUnknown&&this.FONTDATA.DELIMITERS[o]){if(m.length){this.addText(j,m)}var k=j.scale;e.createDelimiter(j,o,0,1,i);j.scale=k;p[0]=j.bbox.h*1000;p[1]=j.bbox.d*1000;p[2]=j.bbox.w*1000;p[3]=j.bbox.lw*1000;p[4]=j.bbox.rw*1000;return""}if(l.c==null){if(o<=65535){l.c=String.fromCharCode(o)}else{l.c=this.PLANE1+String.fromCharCode(o-119808+56320)}}if(p[2]||!this.msieAccentBug||m.length){return m+l.c}e.createShift(j,p[3]/1000);e.createShift(j,(p[4]-p[3])/1000);this.addText(j,l.c);e.createShift(j,-p[4]/1000);return""},handleImg:function(j,i,m,l,k){return k},lookupChar:function(o,s){var l,j;if(!o.FONTS){var r=this.FONTDATA.FONTS;var q=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(o.fonts!=q){o.fonts=q}o.FONTS=[];for(l=0,j=q.length;l<j;l++){if(r[q[l]]){o.FONTS.push(r[q[l]]);r[q[l]].name=q[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[s]){if(k[s].length===5){k[s][5]={}}if(e.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,s)}}var p=(o.defaultFont||{family:e.config.undefinedFamily});if(o.bold){p.weight="bold"}if(o.italic){p.style="italic"}p[s]=[800,200,500,0,500,{isUnknown:true}];return p},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(j){var i=MathJax.Callback.Queue();i.Push(["Require",c,this.fontDir+"/"+j]);if(this.imgFonts){if(!MathJax.isPacked){j=j.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}i.Push(["Require",c,this.webfontDir+"/png/"+j])}d.RestartAfter(i.Push({}))},loadWebFont:function(i){i.available=i.isWebFont=true;if(e.FontFaceBug){i.family=i.name;if(e.msieFontCSSBug){i.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(i))},loadWebFontError:function(j,i){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");j.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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j=(this.useMMLspacing?0:e.length2em(this.texSpacing()||0))+0.12;i.style.paddingLeft=e.Em(j);i.style.paddingRight=".12em"}}});a.msqrt.Augment({toHTML:function(u){u=this.HTMLcreateSpan(u);var w=e.createStack(u);var l=e.createBox(w),r=e.createBox(w),o=e.createBox(w);var n=this.HTMLgetScale();var y=e.TeX.rule_thickness*n,k,j,v,m;if(this.Get("displaystyle")){k=e.TeX.x_height*n}else{k=y}j=Math.max(y+k/4,1.5*e.TeX.min_rule_thickness/this.em);var i=this.HTMLboxChild(0,l);v=i.bbox.h+i.bbox.d+j+y;e.createDelimiter(o,8730,v,n);e.MeasureSpans([i,o]);m=i.bbox.w;var s=0;if(o.isMultiChar||(e.AdjustSurd&&e.imgFonts)){o.bbox.w*=0.95}if(o.bbox.h+o.bbox.d>v){j=((o.bbox.h+o.bbox.d)-(v-y))/2}var z=e.FONTDATA.DELIMITERS[e.FONTDATA.RULECHAR];if(!z||m<z.HW[0][0]*n||n<0.75){e.createRule(r,y,0,m)}else{e.createDelimiter(r,e.FONTDATA.RULECHAR,m,n)}v=i.bbox.h+j+y;j=v*e.rfuzz;if(o.isMultiChar){j=e.rfuzz}s=this.HTMLaddRoot(w,o,s,o.bbox.h+o.bbox.d-v,n);e.placeBox(o,s,v-o.bbox.h);e.placeBox(r,s+o.bbox.w,v-r.bbox.h+j);e.placeBox(l,s+o.bbox.w,0);this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLaddRoot:function(k,j,i,m,l){return i}});a.mroot.Augment({toHTML:a.msqrt.prototype.toHTML,HTMLaddRoot:function(q,j,o,m,i){var k=e.createBox(q);if(this.data[1]){var n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 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p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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L=this.HTMLgetScale(),F=this.HTMLgetMu(I);var n=e.createStack(I),j,l=[];var m=e.createBox(n);if(this.data[this.base]){l.push(this.data[this.base].toHTML(m));if(A!=null){this.data[this.base].HTMLstretchV(m,G,A)}else{if(G!=null){this.data[this.base].HTMLstretchH(m,G)}}}else{m.bbox=this.HTMLzeroBBox()}var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var J=e.TeX.x_height*L,z=e.TeX.scriptspace*L*0.75;var i,o;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(n);l.push(this.data[this.sup].toHTML(i))}if(this.HTMLnotEmpty(this.data[this.sub])){o=e.createBox(n);l.push(this.data[this.sub].toHTML(o))}e.MeasureSpans(l);if(i){i.bbox.w+=z;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(o){o.bbox.w+=z;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}e.placeBox(m,0,0);var C=e.TeX.sup_drop*k,B=e.TeX.sub_drop*k;var 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this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var 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k=j.bbox;if(k){k.w=i;k.exactW=true}k=j.parentNode.bbox;if(k){k.w=i;k.exactW=true}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}if(k.load){d.RestartAfter(c.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=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(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p,exactW:true};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));if(!C.fillExtenders){o=(l-s)/(y*v)}t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d,exactW:true};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(j,i){i-=j.bbox.h;j.bbox.d-=i;j.bbox.h+=i;if(i){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&j.isMultiChar)){if(j.firstChild.style.display===""&&j.style.top!==""){j=j.firstChild;i-=parseFloat(j.style.top)}j.style.position="relative";j.style.top=this.Em(-i)}else{j.style.verticalAlign=this.Em(i);if(e.ffVerticalAlignBug){e.createRule(j.parentNode,j.bbox.h,0,0)}}}},handleVariant:function(y,o,r){var x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.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(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var j=i.style||"normal",l=i.weight||"normal";if(j!=="normal"||m){k.style.fontStyle=j}if(l!=="normal"||m){k.style.fontWeight=l}}},handleChar:function(j,i,p,o,m){var l=p[5];if(l.img){return this.handleImg(j,i,p,o,m)}if(l.isUnknown&&this.FONTDATA.DELIMITERS[o]){if(m.length){this.addText(j,m)}var k=j.scale;e.createDelimiter(j,o,0,1,i);j.scale=k;p[0]=j.bbox.h*1000;p[1]=j.bbox.d*1000;p[2]=j.bbox.w*1000;p[3]=j.bbox.lw*1000;p[4]=j.bbox.rw*1000;return""}if(l.c==null){if(o<=65535){l.c=String.fromCharCode(o)}else{l.c=this.PLANE1+String.fromCharCode(o-119808+56320)}}if(p[2]||!this.msieAccentBug||m.length){return m+l.c}e.createShift(j,p[3]/1000);e.createShift(j,(p[4]-p[3])/1000);this.addText(j,l.c);e.createShift(j,-p[4]/1000);return""},handleImg:function(j,i,m,l,k){return k},lookupChar:function(o,s){var l,j;if(!o.FONTS){var r=this.FONTDATA.FONTS;var q=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(o.fonts!=q){o.fonts=q}o.FONTS=[];for(l=0,j=q.length;l<j;l++){if(r[q[l]]){o.FONTS.push(r[q[l]]);r[q[l]].name=q[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[s]){if(k[s].length===5){k[s][5]={}}if(e.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,s)}}var p=(o.defaultFont||{family:e.config.undefinedFamily});if(o.bold){p.weight="bold"}if(o.italic){p.style="italic"}p[s]=[800,200,500,0,500,{isUnknown:true}];return p},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(j){var i=MathJax.Callback.Queue();i.Push(["Require",c,this.fontDir+"/"+j]);if(this.imgFonts){if(!MathJax.isPacked){j=j.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}i.Push(["Require",c,this.webfontDir+"/png/"+j])}d.RestartAfter(i.Push({}))},loadWebFont:function(i){i.available=i.isWebFont=true;if(e.FontFaceBug){i.family=i.name;if(e.msieFontCSSBug){i.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(i))},loadWebFontError:function(j,i){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");j.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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j=(this.useMMLspacing?0:e.length2em(this.texSpacing()||0))+0.12;i.style.paddingLeft=e.Em(j);i.style.paddingRight=".12em"}}});a.msqrt.Augment({toHTML:function(u){u=this.HTMLcreateSpan(u);var w=e.createStack(u);var l=e.createBox(w),r=e.createBox(w),o=e.createBox(w);var n=this.HTMLgetScale();var y=e.TeX.rule_thickness*n,k,j,v,m;if(this.Get("displaystyle")){k=e.TeX.x_height*n}else{k=y}j=Math.max(y+k/4,1.5*e.TeX.min_rule_thickness/this.em);var i=this.HTMLboxChild(0,l);v=i.bbox.h+i.bbox.d+j+y;e.createDelimiter(o,8730,v,n);e.MeasureSpans([i,o]);m=i.bbox.w;var s=0;if(o.isMultiChar||(e.AdjustSurd&&e.imgFonts)){o.bbox.w*=0.95}if(o.bbox.h+o.bbox.d>v){j=((o.bbox.h+o.bbox.d)-(v-y))/2}var z=e.FONTDATA.DELIMITERS[e.FONTDATA.RULECHAR];if(!z||m<z.HW[0][0]*n||n<0.75){e.createRule(r,y,0,m)}else{e.createDelimiter(r,e.FONTDATA.RULECHAR,m,n)}v=i.bbox.h+j+y;j=v*e.rfuzz;if(o.isMultiChar){j=e.rfuzz}s=this.HTMLaddRoot(w,o,s,o.bbox.h+o.bbox.d-v,n);e.placeBox(o,s,v-o.bbox.h);e.placeBox(r,s+o.bbox.w,v-r.bbox.h+j);e.placeBox(l,s+o.bbox.w,0);this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLaddRoot:function(k,j,i,m,l){return i}});a.mroot.Augment({toHTML:a.msqrt.prototype.toHTML,HTMLaddRoot:function(q,j,o,m,i){var k=e.createBox(q);if(this.data[1]){var n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 0.45*(k-0.9*j)+0.6*j+Math.max(0,i.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(i,j,l,k){if(i){if(!k&&i.HTMLcanStretch("Vertical")){l.push(i);i=(i.CoreMO()||i)}this.HTMLcombineBBoxes(i,j)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(i){if(this.data[0]!=null){i=this.data[0].toHTML(i);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(i)}return i},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(j,i){return(this.data[0]!=null?this.data[0].HTMLstretchH(j,i):j)},HTMLstretchV:function(j,i,k){return(this.data[0]!=null?this.data[0].HTMLstretchV(j,i,k):j)}});a.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return a.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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L=this.HTMLgetScale(),F=this.HTMLgetMu(I);var n=e.createStack(I),j,l=[];var m=e.createBox(n);if(this.data[this.base]){l.push(this.data[this.base].toHTML(m));if(A!=null){this.data[this.base].HTMLstretchV(m,G,A)}else{if(G!=null){this.data[this.base].HTMLstretchH(m,G)}}}else{m.bbox=this.HTMLzeroBBox()}var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var J=e.TeX.x_height*L,z=e.TeX.scriptspace*L;var i,o;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(n);l.push(this.data[this.sup].toHTML(i))}if(this.HTMLnotEmpty(this.data[this.sub])){o=e.createBox(n);l.push(this.data[this.sub].toHTML(o))}e.MeasureSpans(l);if(i){i.bbox.w+=z;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(o){o.bbox.w+=z;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}e.placeBox(m,0,0);var C=e.TeX.sup_drop*k,B=e.TeX.sub_drop*k;var x=m.bbox.h-C,w=m.bbox.d+B,K=0,E;if(m.bbox.ic){K=m.bbox.ic;if(m.bbox.icAdded){m.bbox.w-=K}}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.bbox.scale===1&&!this.data[this.base].Get("largeop")){x=w=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:e.length2em(H.subscriptshift,F));H.superscriptshift=(H.superscriptshift===""?0:e.length2em(H.superscriptshift,F));if(!i){if(o){w=Math.max(w,e.TeX.sub1*L,o.bbox.h-(4/5)*J,H.subscriptshift);e.placeBox(o,m.bbox.w,-w,o.bbox)}}else{if(!o){j=this.getValues("displaystyle","texprimestyle");E=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];x=Math.max(x,E*L,i.bbox.d+(1/4)*J,H.superscriptshift);e.placeBox(i,m.bbox.w+K,x,i.bbox)}else{w=Math.max(w,e.TeX.sub2*L);var y=e.TeX.rule_thickness*L;if((x-i.bbox.d)-(o.bbox.h-w)<3*y){w=3*y-x+i.bbox.d+o.bbox.h;C=(4/5)*J-(x-i.bbox.d);if(C>0){x+=C;w-=C}}e.placeBox(i,m.bbox.w+K,Math.max(x,H.superscriptshift));e.placeBox(o,m.bbox.w,-Math.max(w,H.subscriptshift))}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a["annotation-xml"].Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(r,j){var n=this.Get("alttext");if(n&&n!==""){j.setAttribute("aria-label",n)}var k=e.addElement(r,"nobr",{isMathJax:true});r=this.HTMLcreateSpan(k);var o=e.createStack(r),l=e.createBox(o),q;o.style.fontSize=k.parentNode.style.fontSize;k.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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s=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(s.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){s.indentalign=s.indentalignfirst}if(s.indentalign===a.INDENTALIGN.AUTO){s.indentalign=this.displayAlign}j.style.textAlign=s.indentalign;if(s.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){s.indentshift=s.indentshiftfirst}if(s.indentshift==="auto"){s.indentshift=this.displayIndent}if(s.indentshift&&s.indentalign!==a.INDENTALIGN.CENTER){r.style[{left:"marginLeft",right:"marginRight"}[s.indentalign]]=e.Em(e.length2em(s.indentshift))}}return r},HTMLspanElement:a.mbase.prototype.HTMLspanElement});a.TeXAtom.Augment({toHTML:function(j){j=this.HTMLcreateSpan(j);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var i=e.createStack(j);var k=e.createBox(i);e.Measured(this.data[0].toHTML(k),k);e.placeBox(k,0,e.TeX.axis_height-(k.bbox.h+k.bbox.d)/2+k.bbox.d)}else{j.bbox=this.data[0].toHTML(j).bbox}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return 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aA=Math.max.apply(Math,ao),U=Math.max.apply(Math,ar);for(ad=0,ab=au.length;ad<ab;ad++){V=((aA+U)-(ao[ad]+ar[ad]))/2;ao[ad]+=V;ar[ad]+=V}}var aN=ao[0]+ar[au.length-1];for(ad=0,ab=au.length-1;ad<ab;ad++){aN+=Math.max((ao[ad]+ar[ad]?aj:0),ar[ad]+ao[ad+1]+aL[ad])}var aE=0,aD=0,aP,g=aN;if(G.frame!=="none"||(G.columnlines+G.rowlines).match(/solid|dashed/)){aE=b.length2em(G.framespacing.split(/[, ]+/)[0],ax);aD=b.length2em(G.framespacing.split(/[, ]+/)[1],ax);g=aN+2*aD}var ah,aO,Z="";if(typeof(G.align)!=="string"){G.align=String(G.align)}if(G.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){Z=RegExp.$3;G.align=RegExp.$1}else{G.align="center"}if(Z!==""){Z=parseInt(Z);if(Z<0){Z=au.length+1+Z}if(Z<1){Z=1}else{if(Z>au.length){Z=au.length}}ah=0;aO=-(aN+aD)+ao[0];for(ad=0,ab=Z-1;ad<ab;ad++){var K=Math.max((ao[ad]+ar[ad]?aj:0),ar[ad]+ao[ad+1]+aL[ad]);ah+=K;aO+=K}}else{ah=({top:-(ao[0]+aD),bottom:aN+aD-ao[0],center:aN/2-ao[0],baseline:aN/2-ao[0],axis:aN/2+b.TeX.axis_height*aC-ao[0]})[G.align];aO=({top:-(aN+2*aD),bottom:0,center:-(aN/2+aD),baseline:-(aN/2+aD),axis:b.TeX.axis_height*aC-aN/2-aD})[G.align]}var aa,ae=0,w=0,I=0,X=0,af=0,al=[],aq=[],Q=1;if(G.equalcolumns&&G.width!=="auto"){if(aF){aa=(100/(an+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ad=0,ab=Math.min(an+1,aH.length);ad<ab;ad++){aH[ad]=aa}aa=0;ae=1;af=an+1;for(ad=0,ab=Math.min(an+1,aw.length);ad<ab;ad++){aa+=aw[ad]}}else{aa=b.length2em(G.width,ax);for(ad=0,ab=Math.min(an+1,aw.length);ad<ab;ad++){aa-=aw[ad]}aa/=an+1;for(ad=0,ab=Math.min(an+1,aH.length);ad<ab;ad++){ai[ad]=aa}}}else{for(ad=0,ab=Math.min(an+1,aH.length);ad<ab;ad++){if(aH[ad]==="auto"){w+=ai[ad]}else{if(aH[ad]==="fit"){aq[af]=ad;af++;w+=ai[ad]}else{if(aH[ad].match(/%$/)){al[X]=ad;X++;I+=ai[ad];ae+=b.length2em(aH[ad],ax,1)}else{ai[ad]=b.length2em(aH[ad],ax);w+=ai[ad]}}}}if(aF){aa=0;for(ad=0,ab=Math.min(an,aw.length);ad<ab;ad++){aa+=aw[ad]}if(ae>0.98){Q=0.98/ae;ae=0.98}}else{if(G.width==="auto"){if(ae>0.98){Q=I/(w+I);aa=w+I}else{aa=w/(1-ae)}}else{aa=b.length2em(G.width,ax);for(ad=0,ab=Math.min(an+1,aw.length);ad<ab;ad++){aa-=aw[ad]}}for(ad=0,ab=al.length;ad<ab;ad++){ai[al[ad]]=b.length2em(aH[al[ad]],ax,aa*Q);w+=ai[al[ad]]}if(Math.abs(aa-w)>0.01){if(af&&aa>w){aa=(aa-w)/af;for(ad=0,ab=aq.length;ad<ab;ad++){ai[aq[ad]]+=aa}}else{aa=aa/w;for(ac=0;ac<=an;ac++){ai[ac]*=aa}}}if(G.equalcolumns){var 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B=b.createBox(av);B.style.left=B.style.top=0;B.style.right=b.Em(aa+2*aE);B.style.display="inline-block";B.style.height="0px";if(b.msieRelativeWidthBug){B=b.createBox(B);B.style.position="relative";B.style.height="1em";B.style.width="100%";B.bbox=av.bbox}var aK=0,aQ=aE,k,l;if(af){k=100*(1-ae)/af,l=w/af}else{k=100*(1-ae)/(an+1);l=w/(an+1)}for(ac=0;ac<=an;ac++){b.placeBox(at[ac].parentNode,0,0);at[ac].style.position="relative";at[ac].style.left=b.Em(aQ);at[ac].style.width="100%";at[ac].parentNode.parentNode.removeChild(at[ac].parentNode);var ak=b.createBox(B);b.addBox(ak,at[ac]);at[ac]=ak;var h=ak.style;h.display="inline-block";h.left=aK+"%";if(aH[ac].match(/%$/)){var t=parseFloat(aH[ac])*Q;if(af===0){h.width=(k+t)+"%";aK+=k+t;ak=b.createBox(ak);b.addBox(ak,at[ac].firstChild);ak.style.left=0;ak.style.right=b.Em(l);aQ-=l}else{h.width=t+"%";aK+=t}}else{if(aH[ac]==="fit"||af===0){h.width=k+"%";ak=b.createBox(ak);b.addBox(ak,at[ac].firstChild);ak.style.left=0;ak.style.right=b.Em(l-ai[ac]);aQ+=ai[ac]-l;aK+=k}else{h.width=b.Em(ai[ac]);aQ+=ai[ac]}}if(b.msieRelativeWidthBug){b.addText(ak.firstChild,b.NBSP);ak.firstChild.style.position="relative"}aQ+=aw[ac];if(d[ac]!=="none"&&ac<an&&ac!==ay){q=b.createBox(B);q.style.left=aK+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=av.bbox;b.placeBox(q,aQ-aw[ac]/2,aO,true);q.style.borderStyle=d[ac]}}}else{var 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"+v[ad];q.style.height=0;q.style.width=q.style.borderLeftWidth;q.style.borderLeft="";if(aF){q.style.width="100%"}}}R-=o}if(aF){r.bbox.width=G.width;av.style.width="100%"}if(at[ay]){var ap=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ap.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ap.indentalign=ap.indentalignfirst}if(ap.indentalign===a.INDENTALIGN.AUTO){ap.indentalign=this.displayAlign}if(ap.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ap.indentshift=ap.indentshiftfirst}if(ap.indentshift==="auto"){ap.indentshift=this.displayIndent}var aI=b.createStack(r,false,"100%");b.addBox(aI,av);b.alignBox(av,ap.indentalign,0);if(ap.indentshift&&ap.indentalign!==a.INDENTALIGN.CENTER){av.style[{left:"Left",right:"Right"}[ap.indentalign]]=b.Em(b.length2em(ap.indentshift,ax))}at[ay].parentNode.parentNode.removeChild(at[ay].parentNode);b.addBox(aI,at[ay]);b.alignBox(at[ay],e[ay],0);if(b.msieRelativeWidthBug){av.style.top=at[ay].style.top=""}if(aF){av.style.width=G.width;r.bbox.width="100%"}at[ay].style.marginRight=at[ay].style.marginLeft=b.Em(b.length2em(G.minlabelspacing,ax))}if(!aF){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aF){if(!ag){ag=b.createFrame(av,g,0,aP,0,"none");b.addBox(av,ag);b.placeBox(ag,0,aO,true);ag.style.width="100%"}ag.style.backgroundColor=u.style.backgroundColor;ag.parentNode.insertBefore(ag,ag.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame){d.style.paddingLeft=d.style.paddingRight=".1667em"}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 
diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
index d7605483b..572e9f590 100644
--- a/config/MML_HTMLorMML-full.js
+++ b/config/MML_HTMLorMML-full.js
@@ -57,7 +57,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){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(l){var r=l.jax[this.id],s,n=r.length,w,p,y,u,x,k,t,q,o;for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}if(!this.initialized){this.InitializeMML()}p=w.previousSibling;if(p&&p.className==="MathJax_MathML"){p.parentNode.removeChild(p)}k=w.MathJax.elementJax;x=k.root;k.NativeMML={};var v=(x.Get("display")==="block"?"div":"span");y=d.Element(v,{className:"MathJax_MathML",id:k.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);w.parentNode.insertBefore(y,w);if(!h){w.parentNode.insertBefore(this.EmExSpan.cloneNode(true),w)}}for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}k=w.MathJax.elementJax;if(!h){u=w.previousSibling;y=u.previousSibling;t=u.firstChild.offsetWidth/60;q=u.lastChild.offsetWidth/60;if(t===0||t==="NaN"){t=this.defaultEx;q=this.defaultMEx}o=(q>1?t/q:1)*this.config.scale;o=Math.floor(Math.max(this.config.minScaleAdjust/100,o))}else{o=100}k.NativeMML.fontSize=o+"%"}if(!h){for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}u=r[s].previousSibling;u.parentNode.removeChild(u)}}},Translate:function(m){if(!m.parentNode){return}var l=m.MathJax.elementJax,q=l.root;var 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n=0,l=this.data.length;n<l;n++){if(this.data[n]){this.data[n].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,o)}}});e.msubsup.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});e.mlabeledtr.Augment({toNativeMML:function(p){var n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}});var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, 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this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" 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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"},".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=0)"},".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 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i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid 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j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var 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B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));if(!C.fillExtenders){o=(l-s)/(y*v)}t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d,exactW:true};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.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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x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.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(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var 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p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=(m===1?this.Em(l+n):k+"px"),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var 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B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var 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x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.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(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var 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i=MathJax.Callback.Queue();i.Push(["Require",c,this.fontDir+"/"+j]);if(this.imgFonts){if(!MathJax.isPacked){j=j.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}i.Push(["Require",c,this.webfontDir+"/png/"+j])}d.RestartAfter(i.Push({}))},loadWebFont:function(i){i.available=i.isWebFont=true;if(e.FontFaceBug){i.family=i.name;if(e.msieFontCSSBug){i.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(i))},loadWebFontError:function(j,i){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");j.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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j=(this.useMMLspacing?0:e.length2em(this.texSpacing()||0))+0.12;i.style.paddingLeft=e.Em(j);i.style.paddingRight=".12em"}}});a.msqrt.Augment({toHTML:function(u){u=this.HTMLcreateSpan(u);var w=e.createStack(u);var l=e.createBox(w),r=e.createBox(w),o=e.createBox(w);var n=this.HTMLgetScale();var y=e.TeX.rule_thickness*n,k,j,v,m;if(this.Get("displaystyle")){k=e.TeX.x_height*n}else{k=y}j=Math.max(y+k/4,1.5*e.TeX.min_rule_thickness/this.em);var i=this.HTMLboxChild(0,l);v=i.bbox.h+i.bbox.d+j+y;e.createDelimiter(o,8730,v,n);e.MeasureSpans([i,o]);m=i.bbox.w;var s=0;if(o.isMultiChar||(e.AdjustSurd&&e.imgFonts)){o.bbox.w*=0.95}if(o.bbox.h+o.bbox.d>v){j=((o.bbox.h+o.bbox.d)-(v-y))/2}var z=e.FONTDATA.DELIMITERS[e.FONTDATA.RULECHAR];if(!z||m<z.HW[0][0]*n||n<0.75){e.createRule(r,y,0,m)}else{e.createDelimiter(r,e.FONTDATA.RULECHAR,m,n)}v=i.bbox.h+j+y;j=v*e.rfuzz;if(o.isMultiChar){j=e.rfuzz}s=this.HTMLaddRoot(w,o,s,o.bbox.h+o.bbox.d-v,n);e.placeBox(o,s,v-o.bbox.h);e.placeBox(r,s+o.bbox.w,v-r.bbox.h+j);e.placeBox(l,s+o.bbox.w,0);this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLaddRoot:function(k,j,i,m,l){return i}});a.mroot.Augment({toHTML:a.msqrt.prototype.toHTML,HTMLaddRoot:function(q,j,o,m,i){var k=e.createBox(q);if(this.data[1]){var n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 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p},HTMLcheckStretchy:function(i,j,l,k){if(i){if(!k&&i.HTMLcanStretch("Vertical")){l.push(i);i=(i.CoreMO()||i)}this.HTMLcombineBBoxes(i,j)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(i){if(this.data[0]!=null){i=this.data[0].toHTML(i);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(i)}return i},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(j,i){return(this.data[0]!=null?this.data[0].HTMLstretchH(j,i):j)},HTMLstretchV:function(j,i,k){return(this.data[0]!=null?this.data[0].HTMLstretchV(j,i,k):j)}});a.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return a.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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L=this.HTMLgetScale(),F=this.HTMLgetMu(I);var n=e.createStack(I),j,l=[];var m=e.createBox(n);if(this.data[this.base]){l.push(this.data[this.base].toHTML(m));if(A!=null){this.data[this.base].HTMLstretchV(m,G,A)}else{if(G!=null){this.data[this.base].HTMLstretchH(m,G)}}}else{m.bbox=this.HTMLzeroBBox()}var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var J=e.TeX.x_height*L,z=e.TeX.scriptspace*L;var i,o;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(n);l.push(this.data[this.sup].toHTML(i))}if(this.HTMLnotEmpty(this.data[this.sub])){o=e.createBox(n);l.push(this.data[this.sub].toHTML(o))}e.MeasureSpans(l);if(i){i.bbox.w+=z;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(o){o.bbox.w+=z;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}e.placeBox(m,0,0);var C=e.TeX.sup_drop*k,B=e.TeX.sub_drop*k;var 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s=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(s.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){s.indentalign=s.indentalignfirst}if(s.indentalign===a.INDENTALIGN.AUTO){s.indentalign=this.displayAlign}j.style.textAlign=s.indentalign;if(s.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){s.indentshift=s.indentshiftfirst}if(s.indentshift==="auto"){s.indentshift=this.displayIndent}if(s.indentshift&&s.indentalign!==a.INDENTALIGN.CENTER){r.style[{left:"marginLeft",right:"marginRight"}[s.indentalign]]=e.Em(e.length2em(s.indentshift))}}return r},HTMLspanElement:a.mbase.prototype.HTMLspanElement});a.TeXAtom.Augment({toHTML:function(j){j=this.HTMLcreateSpan(j);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var i=e.createStack(j);var k=e.createBox(i);e.Measured(this.data[0].toHTML(k),k);e.placeBox(k,0,e.TeX.axis_height-(k.bbox.h+k.bbox.d)/2+k.bbox.d)}else{j.bbox=this.data[0].toHTML(j).bbox}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return 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 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="1.1.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var G=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aF=G.width.match(/%$/);var av=b.createStack(r);var aC=this.HTMLgetScale(),ax=this.HTMLgetMu(r),ay=-1;var ao=[],ar=[],ai=[],au=[],at=[],ad,ac,an=-1,ab,am,V,aB,aJ=[];var aj=b.FONTDATA.baselineskip*aC*G.useHeight,E=b.FONTDATA.lineH*aC,L=b.FONTDATA.lineD*aC;for(ad=0,ab=this.data.length;ad<ab;ad++){aB=this.data[ad];V=(aB.type==="mlabeledtr"?ay:0);au[ad]=[];ao[ad]=ar[ad]=0;for(ac=V,am=aB.data.length+V;ac<am;ac++){if(ai[ac]==null){if(ac>an){an=ac}at[ac]=b.createStack(b.createBox(av));ai[ac]=-b.BIGDIMEN}au[ad][ac]=b.createBox(at[ac]);aJ.push(aB.data[ac-V].toHTML(au[ad][ac]))}}b.MeasureSpans(aJ);for(ad=0,ab=this.data.length;ad<ab;ad++){aB=this.data[ad];V=(aB.type==="mlabeledtr"?ay:0);for(ac=V,am=aB.data.length+V;ac<am;ac++){if(aB.data[ac-V].isMultiline){au[ad][ac].style.width="100%"}if(au[ad][ac].bbox.h>ao[ad]){ao[ad]=au[ad][ac].bbox.h}if(au[ad][ac].bbox.d>ar[ad]){ar[ad]=au[ad][ac].bbox.d}if(au[ad][ac].bbox.w>ai[ac]){ai[ac]=au[ad][ac].bbox.w}}}if(ao[0]+ar[0]){ao[0]=Math.max(ao[0],E)}if(ao[au.length-1]+ar[au.length-1]){ar[au.length-1]=Math.max(ar[au.length-1],L)}var aw=G.columnspacing.split(/ /),aL=G.rowspacing.split(/ /),e=G.columnalign.split(/ /),z=G.rowalign.split(/ /),d=G.columnlines.split(/ /),v=G.rowlines.split(/ /),aH=G.columnwidth.split(/ /),T=[];for(ad=0,ab=aw.length;ad<ab;ad++){aw[ad]=b.length2em(aw[ad],ax)}for(ad=0,ab=aL.length;ad<ab;ad++){aL[ad]=b.length2em(aL[ad],ax)}while(aw.length<an){aw.push(aw[aw.length-1])}while(e.length<=an){e.push(e[e.length-1])}while(d.length<an){d.push(d[d.length-1])}while(aH.length<=an){aH.push(aH[aH.length-1])}while(aL.length<au.length){aL.push(aL[aL.length-1])}while(z.length<=au.length){z.push(z[z.length-1])}while(v.length<au.length){v.push(v[v.length-1])}if(at[ay]){e[ay]=(G.side.substr(0,1)==="l"?"left":"right");aw[ay]=-ai[ay]}for(ad=0,ab=au.length;ad<ab;ad++){aB=this.data[ad];T[ad]=[];if(aB.rowalign){z[ad]=aB.rowalign}if(aB.columnalign){T[ad]=aB.columnalign.split(/ /);while(T[ad].length<=an){T[ad].push(T[ad][T[ad].length-1])}}}if(G.equalrows){var aA=Math.max.apply(Math,ao),U=Math.max.apply(Math,ar);for(ad=0,ab=au.length;ad<ab;ad++){V=((aA+U)-(ao[ad]+ar[ad]))/2;ao[ad]+=V;ar[ad]+=V}}var aN=ao[0]+ar[au.length-1];for(ad=0,ab=au.length-1;ad<ab;ad++){aN+=Math.max((ao[ad]+ar[ad]?aj:0),ar[ad]+ao[ad+1]+aL[ad])}var aE=0,aD=0,aP,g=aN;if(G.frame!=="none"||(G.columnlines+G.rowlines).match(/solid|dashed/)){aE=b.length2em(G.framespacing.split(/[, ]+/)[0],ax);aD=b.length2em(G.framespacing.split(/[, ]+/)[1],ax);g=aN+2*aD}var ah,aO,Z="";if(typeof(G.align)!=="string"){G.align=String(G.align)}if(G.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){Z=RegExp.$3;G.align=RegExp.$1}else{G.align="center"}if(Z!==""){Z=parseInt(Z);if(Z<0){Z=au.length+1+Z}if(Z<1){Z=1}else{if(Z>au.length){Z=au.length}}ah=0;aO=-(aN+aD)+ao[0];for(ad=0,ab=Z-1;ad<ab;ad++){var K=Math.max((ao[ad]+ar[ad]?aj:0),ar[ad]+ao[ad+1]+aL[ad]);ah+=K;aO+=K}}else{ah=({top:-(ao[0]+aD),bottom:aN+aD-ao[0],center:aN/2-ao[0],baseline:aN/2-ao[0],axis:aN/2+b.TeX.axis_height*aC-ao[0]})[G.align];aO=({top:-(aN+2*aD),bottom:0,center:-(aN/2+aD),baseline:-(aN/2+aD),axis:b.TeX.axis_height*aC-aN/2-aD})[G.align]}var aa,ae=0,w=0,I=0,X=0,af=0,al=[],aq=[],Q=1;if(G.equalcolumns&&G.width!=="auto"){if(aF){aa=(100/(an+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ad=0,ab=Math.min(an+1,aH.length);ad<ab;ad++){aH[ad]=aa}aa=0;ae=1;af=an+1;for(ad=0,ab=Math.min(an+1,aw.length);ad<ab;ad++){aa+=aw[ad]}}else{aa=b.length2em(G.width,ax);for(ad=0,ab=Math.min(an+1,aw.length);ad<ab;ad++){aa-=aw[ad]}aa/=an+1;for(ad=0,ab=Math.min(an+1,aH.length);ad<ab;ad++){ai[ad]=aa}}}else{for(ad=0,ab=Math.min(an+1,aH.length);ad<ab;ad++){if(aH[ad]==="auto"){w+=ai[ad]}else{if(aH[ad]==="fit"){aq[af]=ad;af++;w+=ai[ad]}else{if(aH[ad].match(/%$/)){al[X]=ad;X++;I+=ai[ad];ae+=b.length2em(aH[ad],ax,1)}else{ai[ad]=b.length2em(aH[ad],ax);w+=ai[ad]}}}}if(aF){aa=0;for(ad=0,ab=Math.min(an,aw.length);ad<ab;ad++){aa+=aw[ad]}if(ae>0.98){Q=0.98/ae;ae=0.98}}else{if(G.width==="auto"){if(ae>0.98){Q=I/(w+I);aa=w+I}else{aa=w/(1-ae)}}else{aa=b.length2em(G.width,ax);for(ad=0,ab=Math.min(an+1,aw.length);ad<ab;ad++){aa-=aw[ad]}}for(ad=0,ab=al.length;ad<ab;ad++){ai[al[ad]]=b.length2em(aH[al[ad]],ax,aa*Q);w+=ai[al[ad]]}if(Math.abs(aa-w)>0.01){if(af&&aa>w){aa=(aa-w)/af;for(ad=0,ab=aq.length;ad<ab;ad++){ai[aq[ad]]+=aa}}else{aa=aa/w;for(ac=0;ac<=an;ac++){ai[ac]*=aa}}}if(G.equalcolumns){var N=Math.max.apply(Math,ai);for(ac=0;ac<=an;ac++){ai[ac]=N}}}}var R=ah,o,q,aM;V=(at[ay]?ay:0);for(ac=V;ac<=an;ac++){for(ad=0,ab=au.length;ad<ab;ad++){if(au[ad][ac]){V=(this.data[ad].type==="mlabeledtr"?ay:0);var O=this.data[ad].data[ac-V];if(O.HTMLcanStretch("Horizontal")){au[ad][ac].bbox=O.HTMLstretchH(at[ac],ai[ac]).bbox}else{if(O.HTMLcanStretch("Vertical")){var az=O.CoreMO();var aG=az.symmetric;az.symmetric=false;au[ad][ac].bbox=O.HTMLstretchV(at[ac],ao[ad],ar[ad]).bbox;az.symmetric=aG}}aM=O.rowalign||this.data[ad].rowalign||z[ad];o=({top:ao[ad]-au[ad][ac].bbox.h,bottom:au[ad][ac].bbox.d-ar[ad],center:((ao[ad]-ar[ad])-(au[ad][ac].bbox.h-au[ad][ac].bbox.d))/2,baseline:0,axis:0})[aM];aM=(O.columnalign||T[ad][ac]||e[ac]);b.alignBox(au[ad][ac],aM,R+o)}if(ad<au.length-1){R-=Math.max((ao[ad]+ar[ad]?aj:0),ar[ad]+ao[ad+1]+aL[ad])}}R=ah}if(aF){var B=b.createBox(av);B.style.left=B.style.top=0;B.style.right=b.Em(aa+2*aE);B.style.display="inline-block";B.style.height="0px";if(b.msieRelativeWidthBug){B=b.createBox(B);B.style.position="relative";B.style.height="1em";B.style.width="100%";B.bbox=av.bbox}var aK=0,aQ=aE,k,l;if(af){k=100*(1-ae)/af,l=w/af}else{k=100*(1-ae)/(an+1);l=w/(an+1)}for(ac=0;ac<=an;ac++){b.placeBox(at[ac].parentNode,0,0);at[ac].style.position="relative";at[ac].style.left=b.Em(aQ);at[ac].style.width="100%";at[ac].parentNode.parentNode.removeChild(at[ac].parentNode);var ak=b.createBox(B);b.addBox(ak,at[ac]);at[ac]=ak;var h=ak.style;h.display="inline-block";h.left=aK+"%";if(aH[ac].match(/%$/)){var t=parseFloat(aH[ac])*Q;if(af===0){h.width=(k+t)+"%";aK+=k+t;ak=b.createBox(ak);b.addBox(ak,at[ac].firstChild);ak.style.left=0;ak.style.right=b.Em(l);aQ-=l}else{h.width=t+"%";aK+=t}}else{if(aH[ac]==="fit"||af===0){h.width=k+"%";ak=b.createBox(ak);b.addBox(ak,at[ac].firstChild);ak.style.left=0;ak.style.right=b.Em(l-ai[ac]);aQ+=ai[ac]-l;aK+=k}else{h.width=b.Em(ai[ac]);aQ+=ai[ac]}}if(b.msieRelativeWidthBug){b.addText(ak.firstChild,b.NBSP);ak.firstChild.style.position="relative"}aQ+=aw[ac];if(d[ac]!=="none"&&ac<an&&ac!==ay){q=b.createBox(B);q.style.left=aK+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=av.bbox;b.placeBox(q,aQ-aw[ac]/2,aO,true);q.style.borderStyle=d[ac]}}}else{var S=aE;for(ac=0;ac<=an;ac++){if(!at[ac].bbox.width){b.setStackWidth(at[ac],ai[ac])}if(aH[ac]!=="auto"&&aH[ac]!=="fit"){at[ac].bbox.width=ai[ac];at[ac].bbox.isFixed=true}b.placeBox(at[ac].parentNode,S,0);S+=ai[ac]+aw[ac];if(d[ac]!=="none"&&ac<an&&ac!==ay){q=b.createRule(av,g,0,1.25/b.em);b.addBox(av,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,S-aw[ac]/2,aO,true);q.style.borderStyle=d[ac]}}}av.bbox.d=-aO;av.bbox.h=g+aO;b.setStackWidth(av,av.bbox.w+aE);aP=av.bbox.w;var ag;if(G.frame!=="none"){ag=b.createFrame(av,g,0,aP,1.25/b.em,G.frame);b.addBox(av,ag);b.placeBox(ag,0,aO,true);if(aF){ag.style.width="100%"}}R=ah;for(ad=0,ab=au.length-1;ad<ab;ad++){o=Math.max(aj,ar[ad]+ao[ad+1]+aL[ad]);if(v[ad]!=="none"){q=b.createRule(av,1.25/b.em,0,aP);b.addBox(av,q);q.bbox={h:1.25/b.em,d:0,w:aP,rw:aP,lw:0};b.placeBox(q,0,R-ar[ad]-(o-ar[ad]-ao[ad+1])/2,true);if(v[ad]==="dashed"||aF){q.style.borderTop=q.style.height+" "+v[ad];q.style.height=0;q.style.width=q.style.borderLeftWidth;q.style.borderLeft="";if(aF){q.style.width="100%"}}}R-=o}if(aF){r.bbox.width=G.width;av.style.width="100%"}if(at[ay]){var ap=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ap.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ap.indentalign=ap.indentalignfirst}if(ap.indentalign===a.INDENTALIGN.AUTO){ap.indentalign=this.displayAlign}if(ap.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ap.indentshift=ap.indentshiftfirst}if(ap.indentshift==="auto"){ap.indentshift=this.displayIndent}var aI=b.createStack(r,false,"100%");b.addBox(aI,av);b.alignBox(av,ap.indentalign,0);if(ap.indentshift&&ap.indentalign!==a.INDENTALIGN.CENTER){av.style[{left:"Left",right:"Right"}[ap.indentalign]]=b.Em(b.length2em(ap.indentshift,ax))}at[ay].parentNode.parentNode.removeChild(at[ay].parentNode);b.addBox(aI,at[ay]);b.alignBox(at[ay],e[ay],0);if(b.msieRelativeWidthBug){av.style.top=at[ay].style.top=""}if(aF){av.style.width=G.width;r.bbox.width="100%"}at[ay].style.marginRight=at[ay].style.marginLeft=b.Em(b.length2em(G.minlabelspacing,ax))}if(!aF){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aF){if(!ag){ag=b.createFrame(av,g,0,aP,0,"none");b.addBox(av,ag);b.placeBox(ag,0,aO,true);ag.style.width="100%"}ag.style.backgroundColor=u.style.backgroundColor;ag.parentNode.insertBefore(ag,ag.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame){d.style.paddingLeft=d.style.paddingRight=".1667em"}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 
diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
index 4cee8bfc6..d4d1a4519 100644
--- a/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -78,7 +78,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"1.1.3"};MathJax.Hub.Register.Start
 
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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(l){var r=l.jax[this.id],s,n=r.length,w,p,y,u,x,k,t,q,o;for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}if(!this.initialized){this.InitializeMML()}p=w.previousSibling;if(p&&p.className==="MathJax_MathML"){p.parentNode.removeChild(p)}k=w.MathJax.elementJax;x=k.root;k.NativeMML={};var v=(x.Get("display")==="block"?"div":"span");y=d.Element(v,{className:"MathJax_MathML",id:k.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);w.parentNode.insertBefore(y,w);if(!h){w.parentNode.insertBefore(this.EmExSpan.cloneNode(true),w)}}for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}k=w.MathJax.elementJax;if(!h){u=w.previousSibling;y=u.previousSibling;t=u.firstChild.offsetWidth/60;q=u.lastChild.offsetWidth/60;if(t===0||t==="NaN"){t=this.defaultEx;q=this.defaultMEx}o=(q>1?t/q:1)*this.config.scale;o=Math.floor(Math.max(this.config.minScaleAdjust/100,o))}else{o=100}k.NativeMML.fontSize=o+"%"}if(!h){for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}u=r[s].previousSibling;u.parentNode.removeChild(u)}}},Translate:function(m){if(!m.parentNode){return}var l=m.MathJax.elementJax,q=l.root;var o=document.getElementById(l.inputID+"-Frame"),k=o.firstChild,r=k.firstChild;o.style.fontSize=l.NativeMML.fontSize;try{q.toNativeMML(r)}catch(p){if(p.restart){while(r.firstChild){r.removeChild(r.firstChild)}}throw p}if(h){if(k.addEventListener){k.addEventListener("contextmenu",g.Menu,true);k.addEventListener("mouseover",g.Mouseover,true);k.addEventListener("mouseout",g.Mouseout,true);k.addEventListener("mousedown",g.Mousedown,true);k.addEventListener("mouseup",g.False,true);k.addEventListener("click",g.Click,true);k.addEventListener("dblclick",g.DblClick,true)}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE){this.MSIEoverlay(k)}else{k.style.position=""}}}else{k.oncontextmenu=g.Menu;k.onmouseover=g.Mouseover;k.onmouseout=g.Mouseout;k.onmousedown=g.Mousedown;k.onclick=g.Click;k.ondblclick=g.DblClick}},postTranslate:function(l){if(this.forceReflow){var k=(document.styleSheets||[])[0]||{};k.disabled=true;k.disabled=false}},Remove:function(k){var l=k.SourceElement();if(!l){return}l=l.previousSibling;if(!l){return}if(l.className.match(/MathJax_MathML/)){l.parentNode.removeChild(l)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(k){var l=k.firstChild;if(l.nodeName.toLowerCase()==="span"){l=l.firstChild}var m=this.getHoverBBox(null,l,{});d.addElement(k,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:c.Px(-m.w),top:c.Px(-m.h-(m.y||0)-1),width:c.Px(m.w),height:c.Px(m.h+m.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);b.Insert(k,{msieMath:l,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var l=window.event;var k=j.MSIEevents[l.type];if(j[k]&&j[k](l,this)===false){return false}if(i&&i.HandleEvent(l,k,this)===false){return false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},getJaxFromMath:function(k){return b.getJaxFor(k.parentNode.nextSibling)},getHoverSpan:function(k,l){return l.firstChild},getHoverBBox:function(k,l,m){return g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r,r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var q=this.defaults;var s=(this.mmlAttributes||this.NativeMMLcopyAttributes),p=this.NativeMMLskipAttributes;if(!this.mmlAttributes){if(this.type==="mstyle"){q=e.math.prototype.defaults}for(var r in q){if(!p[r]&&q.hasOwnProperty(r)){if(this[r]!=null){n.setAttribute(r,this.NativeMMLattribute(r,this[r]))}}}}for(var o=0,l=s.length;o<l;o++){if(this[s[o]]!=null){n.setAttribute(s[o],this.NativeMMLattribute(s[o],this[s[o]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(m,l){l=String(l);if(j.NAMEDSPACE[l]){l=j.NAMEDSPACE[l]}else{if(l.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){l=((1/18)*RegExp.$1).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(l==="-tex-caligraphic"){l="script"}else{if(l==="-tex-oldstyle"){l="normal"}}}}return l},NativeMMLelement:function(l){var m=(h?document.createElement("mjx:"+l):document.createElementNS(j.MMLnamespace,l));m.isMathJax=true;return m}});e.mrow.Augment({toNativeMML:function(o){if(this.inferred&&this.parent.inferRow){for(var n=0,l=this.data.length;n<l;n++){if(this.data[n]){this.data[n].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,o)}}});e.msubsup.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});e.mlabeledtr.Augment({toNativeMML:function(p){var n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}});var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+k+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+k+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+k+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+k+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Caligraphic-Bold.otf')"}}}})}e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 
-(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],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,"white-space":"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=(m===1?this.Em(l+n):k+"px"),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.initialSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.initialSkipBug){m=n.w-n.rw-0.1;o+=n.lw}if(this.msieMarginScaleBug){o=(o*this.em)+"px"}else{o=this.Em(o)}if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));var k=j.bbox;if(k){k.w=i;k.exactW=true}k=j.parentNode.bbox;if(k){k.w=i;k.exactW=true}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}if(k.load){d.RestartAfter(c.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=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(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p,exactW:true};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var 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k=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:v.mathbackground,width:e.Em(l),height:e.Em(u),verticalAlign:e.Em(i),marginLeft:e.Em(r),marginRight:e.Em(p)}});e.setBorders(k,q);if(t.bbox.width){k.style.width=t.bbox.width;k.style.marginRight="-"+t.bbox.width}if(e.msieInlineBlockAlignBug){k.style.position="relative";k.style.width=k.style.height=0;k.style.verticalAlign=k.style.marginLeft=k.style.marginRight="";k.style.border=k.style.padding="";if(q&&e.msieBorderWidthBug){u+=q.top+q.bottom;l+=q.left+q.right}k.style.width=e.Em(o+w);e.placeBox(e.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(v.mathbackground||"transparent"),width:e.Em(l),height:e.Em(u)}}),r,t.bbox.h+w);e.setBorders(k.firstChild,q)}t.parentNode.insertBefore(k,t);if(e.msieColorPositionBug){t.style.position="relative"}return k}return null},HTMLremoveColor:function(){var 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p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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L=this.HTMLgetScale(),F=this.HTMLgetMu(I);var n=e.createStack(I),j,l=[];var m=e.createBox(n);if(this.data[this.base]){l.push(this.data[this.base].toHTML(m));if(A!=null){this.data[this.base].HTMLstretchV(m,G,A)}else{if(G!=null){this.data[this.base].HTMLstretchH(m,G)}}}else{m.bbox=this.HTMLzeroBBox()}var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var J=e.TeX.x_height*L,z=e.TeX.scriptspace*L*0.75;var i,o;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(n);l.push(this.data[this.sup].toHTML(i))}if(this.HTMLnotEmpty(this.data[this.sub])){o=e.createBox(n);l.push(this.data[this.sub].toHTML(o))}e.MeasureSpans(l);if(i){i.bbox.w+=z;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(o){o.bbox.w+=z;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}e.placeBox(m,0,0);var C=e.TeX.sup_drop*k,B=e.TeX.sub_drop*k;var x=m.bbox.h-C,w=m.bbox.d+B,K=0,E;if(m.bbox.ic){K=m.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.bbox.scale===1&&!this.data[this.base].Get("largeop")){x=w=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:e.length2em(H.subscriptshift,F));H.superscriptshift=(H.superscriptshift===""?0:e.length2em(H.superscriptshift,F));if(!i){if(o){w=Math.max(w,e.TeX.sub1*L,o.bbox.h-(4/5)*J,H.subscriptshift);e.placeBox(o,m.bbox.w+z-K,-w,o.bbox)}}else{if(!o){j=this.getValues("displaystyle","texprimestyle");E=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];x=Math.max(x,E*L,i.bbox.d+(1/4)*J,H.superscriptshift);e.placeBox(i,m.bbox.w+z,x,i.bbox)}else{w=Math.max(w,e.TeX.sub2*L);var y=e.TeX.rule_thickness*L;if((x-i.bbox.d)-(o.bbox.h-w)<3*y){w=3*y-x+i.bbox.d+o.bbox.h;C=(4/5)*J-(x-i.bbox.d);if(C>0){x+=C;w-=C}}e.placeBox(i,m.bbox.w+z,Math.max(x,H.superscriptshift));e.placeBox(o,m.bbox.w+z-K,-Math.max(w,H.subscriptshift))}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a["annotation-xml"].Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(r,j){var n=this.Get("alttext");if(n&&n!==""){j.setAttribute("aria-label",n)}var k=e.addElement(r,"nobr",{isMathJax:true});r=this.HTMLcreateSpan(k);var o=e.createStack(r),l=e.createBox(o),q;o.style.fontSize=k.parentNode.style.fontSize;k.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}a.mbase.prototype.displayAlign=d.config.displayAlign;a.mbase.prototype.displayIndent=d.config.displayIndent;q=e.Measured(this.data[0].toHTML(l),l)}e.placeBox(l,0,0);var i=1/e.em,m=e.em/e.outerEm;e.em/=m;r.bbox.h*=m;r.bbox.d*=m;r.bbox.w*=m;r.bbox.lw*=m;r.bbox.rw*=m;if(q&&q.bbox.width!=null){o.style.width=q.bbox.width;l.style.width="100%"}this.HTMLhandleColor(r);if(q){e.createRule(r,(q.bbox.h+i)*m,(q.bbox.d+i)*m,0)}if(!this.isMultiline&&this.Get("display")==="block"&&r.bbox.width==null){var s=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(s.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){s.indentalign=s.indentalignfirst}if(s.indentalign===a.INDENTALIGN.AUTO){s.indentalign=this.displayAlign}j.style.textAlign=s.indentalign;if(s.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){s.indentshift=s.indentshiftfirst}if(s.indentshift==="auto"){s.indentshift=this.displayIndent}if(s.indentshift&&s.indentalign!==a.INDENTALIGN.CENTER){r.style[{left:"marginLeft",right:"marginRight"}[s.indentalign]]=e.Em(e.length2em(s.indentshift))}}return r},HTMLspanElement:a.mbase.prototype.HTMLspanElement});a.TeXAtom.Augment({toHTML:function(j){j=this.HTMLcreateSpan(j);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var i=e.createStack(j);var k=e.createBox(i);e.Measured(this.data[0].toHTML(k),k);e.placeBox(k,0,e.TeX.axis_height-(k.bbox.h+k.bbox.d)/2+k.bbox.d)}else{j.bbox=this.data[0].toHTML(j).bbox}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(i){var m=(document.documentMode||0);var l=i.versionAtLeast("7.0");var k=i.versionAtLeast("8.0")&&m>7;var j=(document.compatMode==="BackCompat");if(m<9){e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}e.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:j,msieDisappearingBug:(m>=8),msieMarginScaleBug:(m<8),msiePaddingWidthBug:true,msieBorderWidthBug:j,msieInlineBlockAlignBug:(!k||j),msiePlaceBoxBug:(k&&!j),msieClipRectBug:!k,msieNegativeSpaceBug:j,msieCloneNodeBug:(k&&i.version==="8.0"),initialSkipBug:(m<8),msieNegativeBBoxBug:(m>=8),msieIE6:!l,msieItalicWidthBug:true,zeroWidthBug:(m<8),FontFaceBug:true,msieFontCSSBug:i.isIE9,allowWebFonts:"eot"})},Firefox:function(j){var k=false;if(j.versionAtLeast("3.5")){var i=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||d.config.root.match(/^https?:\/\//)||(d.config.root+"/").substr(0,i.length)===i){k="otf"}}e.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:k})},Safari:function(m){var k=m.versionAtLeast("3.0");var j=m.versionAtLeast("3.1");var i=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var n=(j&&m.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!m.versionAtLeast("5.0"))||(i!=null&&(i[1]<2||(i[1]==2&&i[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!j,safariTextNodeBug:!k,safariWebFontSerif:["serif"],forceReflow:true,allowWebFonts:(j&&!n?"otf":false)});if(m.isPC){e.Augment({adjustAvailableFonts:e.removeSTIXfonts})}if(n){var l=d.config["HTML-CSS"];if(l){l.availableFonts=[];l.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(i){e.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(i.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(i){i.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:i.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(i.versionAtLeast("10.0")&&!i.isMini?"otf":false),adjustAvailableFonts:e.removeSTIXfonts})},Konqueror:function(i){e.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
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this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=(m===1?this.Em(l+n):k+"px"),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.initialSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.initialSkipBug){m=n.w-n.rw-0.1;o+=n.lw}if(this.msieMarginScaleBug){o=(o*this.em)+"px"}else{o=this.Em(o)}if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));var 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B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var 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x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.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(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var j=i.style||"normal",l=i.weight||"normal";if(j!=="normal"||m){k.style.fontStyle=j}if(l!=="normal"||m){k.style.fontWeight=l}}},handleChar:function(j,i,p,o,m){var l=p[5];if(l.img){return this.handleImg(j,i,p,o,m)}if(l.isUnknown&&this.FONTDATA.DELIMITERS[o]){if(m.length){this.addText(j,m)}var k=j.scale;e.createDelimiter(j,o,0,1,i);j.scale=k;p[0]=j.bbox.h*1000;p[1]=j.bbox.d*1000;p[2]=j.bbox.w*1000;p[3]=j.bbox.lw*1000;p[4]=j.bbox.rw*1000;return""}if(l.c==null){if(o<=65535){l.c=String.fromCharCode(o)}else{l.c=this.PLANE1+String.fromCharCode(o-119808+56320)}}if(p[2]||!this.msieAccentBug||m.length){return m+l.c}e.createShift(j,p[3]/1000);e.createShift(j,(p[4]-p[3])/1000);this.addText(j,l.c);e.createShift(j,-p[4]/1000);return""},handleImg:function(j,i,m,l,k){return k},lookupChar:function(o,s){var l,j;if(!o.FONTS){var r=this.FONTDATA.FONTS;var q=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof 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i=MathJax.Callback.Queue();i.Push(["Require",c,this.fontDir+"/"+j]);if(this.imgFonts){if(!MathJax.isPacked){j=j.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}i.Push(["Require",c,this.webfontDir+"/png/"+j])}d.RestartAfter(i.Push({}))},loadWebFont:function(i){i.available=i.isWebFont=true;if(e.FontFaceBug){i.family=i.name;if(e.msieFontCSSBug){i.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(i))},loadWebFontError:function(j,i){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");j.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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z=e.FONTDATA.DELIMITERS[e.FONTDATA.RULECHAR];if(!z||m<z.HW[0][0]*n||n<0.75){e.createRule(r,y,0,m)}else{e.createDelimiter(r,e.FONTDATA.RULECHAR,m,n)}v=i.bbox.h+j+y;j=v*e.rfuzz;if(o.isMultiChar){j=e.rfuzz}s=this.HTMLaddRoot(w,o,s,o.bbox.h+o.bbox.d-v,n);e.placeBox(o,s,v-o.bbox.h);e.placeBox(r,s+o.bbox.w,v-r.bbox.h+j);e.placeBox(l,s+o.bbox.w,0);this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLaddRoot:function(k,j,i,m,l){return i}});a.mroot.Augment({toHTML:a.msqrt.prototype.toHTML,HTMLaddRoot:function(q,j,o,m,i){var k=e.createBox(q);if(this.data[1]){var n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 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p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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aj=b.FONTDATA.baselineskip*aC*G.useHeight,E=b.FONTDATA.lineH*aC,L=b.FONTDATA.lineD*aC;for(ad=0,ab=this.data.length;ad<ab;ad++){aB=this.data[ad];V=(aB.type==="mlabeledtr"?ay:0);au[ad]=[];ao[ad]=ar[ad]=0;for(ac=V,am=aB.data.length+V;ac<am;ac++){if(ai[ac]==null){if(ac>an){an=ac}at[ac]=b.createStack(b.createBox(av));ai[ac]=-b.BIGDIMEN}au[ad][ac]=b.createBox(at[ac]);aJ.push(aB.data[ac-V].toHTML(au[ad][ac]))}}b.MeasureSpans(aJ);for(ad=0,ab=this.data.length;ad<ab;ad++){aB=this.data[ad];V=(aB.type==="mlabeledtr"?ay:0);for(ac=V,am=aB.data.length+V;ac<am;ac++){if(aB.data[ac-V].isMultiline){au[ad][ac].style.width="100%"}if(au[ad][ac].bbox.h>ao[ad]){ao[ad]=au[ad][ac].bbox.h}if(au[ad][ac].bbox.d>ar[ad]){ar[ad]=au[ad][ac].bbox.d}if(au[ad][ac].bbox.w>ai[ac]){ai[ac]=au[ad][ac].bbox.w}}}if(ao[0]+ar[0]){ao[0]=Math.max(ao[0],E)}if(ao[au.length-1]+ar[au.length-1]){ar[au.length-1]=Math.max(ar[au.length-1],L)}var aw=G.columnspacing.split(/ /),aL=G.rowspacing.split(/ /),e=G.columnalign.split(/ 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diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
index 0b8c55004..4d4524277 100644
--- a/config/TeX-AMS_HTML-full.js
+++ b/config/TeX-AMS_HTML-full.js
@@ -58,7 +58,7 @@ MathJax.Extension["TeX/AMSmath"]={version:"1.1.2",number:0,startNumber:0,labels:
 
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c=MathJax.InputJax.TeX.Definitions;c.mathchar0mi.varnothing="2205";c.mathchar0mi.hslash="210F";c.mathchar0mi.blacktriangle="25B4";c.mathchar0mi.blacktriangledown="25BE";c.mathchar0mi.square="25FB";c.mathchar0mi.blacksquare="25FC";c.mathchar0mi.vartriangle=["25B3",{mathsize:"71%"}];c.mathchar0mi.triangledown=["25BD",{mathsize:"71%"}];c.mathchar0mo.blacktriangleleft="25C2";c.mathchar0mo.blacktriangleright="25B8";c.mathchar0mo.smallsetminus="2216";MathJax.Hub.Insert(b["-STIX-variant"],{remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368}})})}MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 
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this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var 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k=j.bbox;if(k){k.w=i;k.exactW=true}k=j.parentNode.bbox;if(k){k.w=i;k.exactW=true}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}if(k.load){d.RestartAfter(c.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=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 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B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));if(!C.fillExtenders){o=(l-s)/(y*v)}t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d,exactW:true};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.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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x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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L=this.HTMLgetScale(),F=this.HTMLgetMu(I);var n=e.createStack(I),j,l=[];var m=e.createBox(n);if(this.data[this.base]){l.push(this.data[this.base].toHTML(m));if(A!=null){this.data[this.base].HTMLstretchV(m,G,A)}else{if(G!=null){this.data[this.base].HTMLstretchH(m,G)}}}else{m.bbox=this.HTMLzeroBBox()}var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var J=e.TeX.x_height*L,z=e.TeX.scriptspace*L*0.75;var i,o;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(n);l.push(this.data[this.sup].toHTML(i))}if(this.HTMLnotEmpty(this.data[this.sub])){o=e.createBox(n);l.push(this.data[this.sub].toHTML(o))}e.MeasureSpans(l);if(i){i.bbox.w+=z;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(o){o.bbox.w+=z;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}e.placeBox(m,0,0);var C=e.TeX.sup_drop*k,B=e.TeX.sub_drop*k;var 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y=e.TeX.rule_thickness*L;if((x-i.bbox.d)-(o.bbox.h-w)<3*y){w=3*y-x+i.bbox.d+o.bbox.h;C=(4/5)*J-(x-i.bbox.d);if(C>0){x+=C;w-=C}}e.placeBox(i,m.bbox.w+z,Math.max(x,H.superscriptshift));e.placeBox(o,m.bbox.w+z-K,-Math.max(w,H.subscriptshift))}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a["annotation-xml"].Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(r,j){var n=this.Get("alttext");if(n&&n!==""){j.setAttribute("aria-label",n)}var k=e.addElement(r,"nobr",{isMathJax:true});r=this.HTMLcreateSpan(k);var o=e.createStack(r),l=e.createBox(o),q;o.style.fontSize=k.parentNode.style.fontSize;k.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}a.mbase.prototype.displayAlign=d.config.displayAlign;a.mbase.prototype.displayIndent=d.config.displayIndent;q=e.Measured(this.data[0].toHTML(l),l)}e.placeBox(l,0,0);var i=1/e.em,m=e.em/e.outerEm;e.em/=m;r.bbox.h*=m;r.bbox.d*=m;r.bbox.w*=m;r.bbox.lw*=m;r.bbox.rw*=m;if(q&&q.bbox.width!=null){o.style.width=q.bbox.width;l.style.width="100%"}this.HTMLhandleColor(r);if(q){e.createRule(r,(q.bbox.h+i)*m,(q.bbox.d+i)*m,0)}if(!this.isMultiline&&this.Get("display")==="block"&&r.bbox.width==null){var s=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(s.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){s.indentalign=s.indentalignfirst}if(s.indentalign===a.INDENTALIGN.AUTO){s.indentalign=this.displayAlign}j.style.textAlign=s.indentalign;if(s.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){s.indentshift=s.indentshiftfirst}if(s.indentshift==="auto"){s.indentshift=this.displayIndent}if(s.indentshift&&s.indentalign!==a.INDENTALIGN.CENTER){r.style[{left:"marginLeft",right:"marginRight"}[s.indentalign]]=e.Em(e.length2em(s.indentshift))}}return r},HTMLspanElement:a.mbase.prototype.HTMLspanElement});a.TeXAtom.Augment({toHTML:function(j){j=this.HTMLcreateSpan(j);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var i=e.createStack(j);var k=e.createBox(i);e.Measured(this.data[0].toHTML(k),k);e.placeBox(k,0,e.TeX.axis_height-(k.bbox.h+k.bbox.d)/2+k.bbox.d)}else{j.bbox=this.data[0].toHTML(j).bbox}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(i){var m=(document.documentMode||0);var l=i.versionAtLeast("7.0");var k=i.versionAtLeast("8.0")&&m>7;var j=(document.compatMode==="BackCompat");if(m<9){e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}e.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:j,msieDisappearingBug:(m>=8),msieMarginScaleBug:(m<8),msiePaddingWidthBug:true,msieBorderWidthBug:j,msieInlineBlockAlignBug:(!k||j),msiePlaceBoxBug:(k&&!j),msieClipRectBug:!k,msieNegativeSpaceBug:j,msieCloneNodeBug:(k&&i.version==="8.0"),initialSkipBug:(m<8),msieNegativeBBoxBug:(m>=8),msieIE6:!l,msieItalicWidthBug:true,zeroWidthBug:(m<8),FontFaceBug:true,msieFontCSSBug:i.isIE9,allowWebFonts:"eot"})},Firefox:function(j){var k=false;if(j.versionAtLeast("3.5")){var i=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||d.config.root.match(/^https?:\/\//)||(d.config.root+"/").substr(0,i.length)===i){k="otf"}}e.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:k})},Safari:function(m){var k=m.versionAtLeast("3.0");var j=m.versionAtLeast("3.1");var i=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var n=(j&&m.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!m.versionAtLeast("5.0"))||(i!=null&&(i[1]<2||(i[1]==2&&i[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!j,safariTextNodeBug:!k,safariWebFontSerif:["serif"],forceReflow:true,allowWebFonts:(j&&!n?"otf":false)});if(m.isPC){e.Augment({adjustAvailableFonts:e.removeSTIXfonts})}if(n){var l=d.config["HTML-CSS"];if(l){l.availableFonts=[];l.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(i){e.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(i.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(i){i.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:i.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(i.versionAtLeast("10.0")&&!i.isMini?"otf":false),adjustAvailableFonts:e.removeSTIXfonts})},Konqueror:function(i){e.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],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,"white-space":"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=(m===1?this.Em(l+n):k+"px"),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.initialSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.initialSkipBug){m=n.w-n.rw-0.1;o+=n.lw}if(this.msieMarginScaleBug){o=(o*this.em)+"px"}else{o=this.Em(o)}if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));var k=j.bbox;if(k){k.w=i;k.exactW=true}k=j.parentNode.bbox;if(k){k.w=i;k.exactW=true}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}if(k.load){d.RestartAfter(c.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=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(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p,exactW:true};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));if(!C.fillExtenders){o=(l-s)/(y*v)}t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d,exactW:true};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.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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x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.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(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var j=i.style||"normal",l=i.weight||"normal";if(j!=="normal"||m){k.style.fontStyle=j}if(l!=="normal"||m){k.style.fontWeight=l}}},handleChar:function(j,i,p,o,m){var l=p[5];if(l.img){return this.handleImg(j,i,p,o,m)}if(l.isUnknown&&this.FONTDATA.DELIMITERS[o]){if(m.length){this.addText(j,m)}var k=j.scale;e.createDelimiter(j,o,0,1,i);j.scale=k;p[0]=j.bbox.h*1000;p[1]=j.bbox.d*1000;p[2]=j.bbox.w*1000;p[3]=j.bbox.lw*1000;p[4]=j.bbox.rw*1000;return""}if(l.c==null){if(o<=65535){l.c=String.fromCharCode(o)}else{l.c=this.PLANE1+String.fromCharCode(o-119808+56320)}}if(p[2]||!this.msieAccentBug||m.length){return m+l.c}e.createShift(j,p[3]/1000);e.createShift(j,(p[4]-p[3])/1000);this.addText(j,l.c);e.createShift(j,-p[4]/1000);return""},handleImg:function(j,i,m,l,k){return k},lookupChar:function(o,s){var l,j;if(!o.FONTS){var r=this.FONTDATA.FONTS;var q=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof 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l=(i.bbox?i:i.HTMLspanElement());if(!l||!l.bbox){return}var k=l.bbox;if(k.d>j.d){j.d=k.d}if(k.h>j.h){j.h=k.h}if(k.D!=null&&k.D>j.D){j.D=k.D}if(k.H!=null&&k.H>j.H){j.H=k.H}if(l.style.paddingLeft){j.w+=parseFloat(l.style.paddingLeft)*(l.scale||1)}if(j.w+k.lw<j.lw){j.lw=j.w+k.lw}if(j.w+k.rw>j.rw){j.rw=j.w+k.rw}j.w+=k.w;if(l.style.paddingRight){j.w+=parseFloat(l.style.paddingRight)*(l.scale||1)}if(k.width){j.width=k.width}if(j.exactW&&!k.exactW){delete j.exactW}},HTMLemptyBBox:function(i){i.h=i.d=i.H=i.D=i.rw=-e.BIGDIMEN;i.w=0;i.lw=e.BIGDIMEN;return i},HTMLcleanBBox:function(i){if(i.h===this.BIGDIMEN){i.h=i.d=i.H=i.D=i.w=i.rw=i.lw=0}if(i.D<=i.d){delete i.D}if(i.H<=i.h){delete i.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(i){if(this.isEmbellished()){return this.Core().HTMLcanStretch(i)}return false},HTMLstretchH:function(j,i){return this.HTMLspanElement()},HTMLstretchV:function(j,i,k){return this.HTMLspanElement()},HTMLnotEmpty:function(i){while(i){if((i.type!=="mrow"&&i.type!=="texatom")||i.data.length>1){return true}i=i.data[0]}return false},HTMLmeasureChild:function(j,i){if(this.data[j]){e.Measured(this.data[j].toHTML(i),i)}else{i.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(j,i){if(this.data[j]){return this.data[j].toHTML(i)}return null},HTMLcreateSpan:function(i){if(this.spanID){var j=this.HTMLspanElement();if(j){while(j.firstChild){j.removeChild(j.firstChild)}j.bbox={w:0,h:0,d:0,lw:0,rw:0};j.scale=1;j.isMultChar=null;j.style.cssText="";return j}}if(this.href){i=e.addElement(i,"a",{href:this.href,isMathJax:true})}i=e.addElement(i,"span",{className:this.type,isMathJax:true});if(e.imgHeightBug){i.style.display="inline-block"}if(this["class"]!=null){i.className+=" 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v=this.getValues("mathcolor","color");if(this.mathbackground){v.mathbackground=this.mathbackground}if(this.background){v.background=this.background}if(this.style&&t.style.backgroundColor){v.mathbackground=t.style.backgroundColor;t.style.backgroundColor="transparent"}var q=(this.styles||{}).border,s=(this.styles||{}).padding;if(v.color&&!this.mathcolor){v.mathcolor=v.color}if(v.background&&!this.mathbackground){v.mathbackground=v.background}if(v.mathcolor){t.style.color=v.mathcolor}if((v.mathbackground&&v.mathbackground!==a.COLOR.TRANSPARENT)||q||s){var w=(t.bbox.exact?0:1/e.em),r=0,p=0,j=t.style.paddingLeft,n=t.style.paddingRight;if(this.isToken){r=t.bbox.lw;p=t.bbox.rw-t.bbox.w}if(j!==""){r+=parseFloat(j)*(t.scale||1)}if(n!==""){p-=parseFloat(n)*(t.scale||1)}var l=Math.max(0,e.getW(t)+(e.PaddingWidthBug||t.bbox.keepPadding?0:p-r));var u=t.bbox.h+t.bbox.d,i=-t.bbox.d,o=0,m=0;if(l>0){l+=2*w;r-=w}if(u>0){u+=2*w;i-=w}p=-l-r;if(q){p-=q.right;i-=q.bottom;o+=q.left;m+=q.right;t.bbox.h+=q.top;t.bbox.d+=q.bottom;t.bbox.w+=q.left+q.right;t.bbox.lw-=q.left;t.bbox.rw+=q.right}if(s){u+=s.top+s.bottom;l+=s.left+s.right;p-=s.right;i-=s.bottom;o+=s.left;m+=s.right;t.bbox.h+=s.top;t.bbox.d+=s.bottom;t.bbox.w+=s.left+s.right;t.bbox.lw-=s.left;t.bbox.rw+=s.right}if(m){t.style.paddingRight=e.Em(m)}var k=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:v.mathbackground,width:e.Em(l),height:e.Em(u),verticalAlign:e.Em(i),marginLeft:e.Em(r),marginRight:e.Em(p)}});e.setBorders(k,q);if(t.bbox.width){k.style.width=t.bbox.width;k.style.marginRight="-"+t.bbox.width}if(e.msieInlineBlockAlignBug){k.style.position="relative";k.style.width=k.style.height=0;k.style.verticalAlign=k.style.marginLeft=k.style.marginRight="";k.style.border=k.style.padding="";if(q&&e.msieBorderWidthBug){u+=q.top+q.bottom;l+=q.left+q.right}k.style.width=e.Em(o+w);e.placeBox(e.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(v.mathbackground||"transparent"),width:e.Em(l),height:e.Em(u)}}),r,t.bbox.h+w);e.setBorders(k.firstChild,q)}t.parentNode.insertBefore(k,t);if(e.msieColorPositionBug){t.style.position="relative"}return k}return null},HTMLremoveColor:function(){var i=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(i){i.parentNode.removeChild(i)}},HTMLhandleSpace:function(m){if(this.useMMLspacing){if(this.type!=="mo"){return}var k=this.getValues("scriptlevel","lspace","rspace");if(k.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var j=this.HTMLgetMu(m);k.lspace=Math.max(0,e.length2em(k.lspace,j));k.rspace=Math.max(0,e.length2em(k.rspace,j));var i=this,l=this.Parent();while(l&&l.isEmbellished()&&l.Core()===i){i=l;l=l.Parent();m=i.HTMLspanElement()}if(k.lspace){m.style.paddingLeft=e.Em(k.lspace)}if(k.rspace){m.style.paddingRight=e.Em(k.rspace)}}}else{var n=this.texSpacing();if(n!==""){n=e.length2em(n,this.HTMLgetScale())/(m.scale||1);if(m.style.paddingLeft){n+=parseFloat(m.style.paddingLeft)}m.style.paddingLeft=e.Em(n)}}},HTMLgetScale:function(){var k=1,i=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var 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B=b.createBox(av);B.style.left=B.style.top=0;B.style.right=b.Em(aa+2*aE);B.style.display="inline-block";B.style.height="0px";if(b.msieRelativeWidthBug){B=b.createBox(B);B.style.position="relative";B.style.height="1em";B.style.width="100%";B.bbox=av.bbox}var aK=0,aQ=aE,k,l;if(af){k=100*(1-ae)/af,l=w/af}else{k=100*(1-ae)/(an+1);l=w/(an+1)}for(ac=0;ac<=an;ac++){b.placeBox(at[ac].parentNode,0,0);at[ac].style.position="relative";at[ac].style.left=b.Em(aQ);at[ac].style.width="100%";at[ac].parentNode.parentNode.removeChild(at[ac].parentNode);var ak=b.createBox(B);b.addBox(ak,at[ac]);at[ac]=ak;var h=ak.style;h.display="inline-block";h.left=aK+"%";if(aH[ac].match(/%$/)){var t=parseFloat(aH[ac])*Q;if(af===0){h.width=(k+t)+"%";aK+=k+t;ak=b.createBox(ak);b.addBox(ak,at[ac].firstChild);ak.style.left=0;ak.style.right=b.Em(l);aQ-=l}else{h.width=t+"%";aK+=t}}else{if(aH[ac]==="fit"||af===0){h.width=k+"%";ak=b.createBox(ak);b.addBox(ak,at[ac].firstChild);ak.style.left=0;ak.style.right=b.Em(l-ai[ac]);aQ+=ai[ac]-l;aK+=k}else{h.width=b.Em(ai[ac]);aQ+=ai[ac]}}if(b.msieRelativeWidthBug){b.addText(ak.firstChild,b.NBSP);ak.firstChild.style.position="relative"}aQ+=aw[ac];if(d[ac]!=="none"&&ac<an&&ac!==ay){q=b.createBox(B);q.style.left=aK+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=av.bbox;b.placeBox(q,aQ-aw[ac]/2,aO,true);q.style.borderStyle=d[ac]}}}else{var S=aE;for(ac=0;ac<=an;ac++){if(!at[ac].bbox.width){b.setStackWidth(at[ac],ai[ac])}if(aH[ac]!=="auto"&&aH[ac]!=="fit"){at[ac].bbox.width=ai[ac];at[ac].bbox.isFixed=true}b.placeBox(at[ac].parentNode,S,0);S+=ai[ac]+aw[ac];if(d[ac]!=="none"&&ac<an&&ac!==ay){q=b.createRule(av,g,0,1.25/b.em);b.addBox(av,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,S-aw[ac]/2,aO,true);q.style.borderStyle=d[ac]}}}av.bbox.d=-aO;av.bbox.h=g+aO;b.setStackWidth(av,av.bbox.w+aE);aP=av.bbox.w;var ag;if(G.frame!=="none"){ag=b.createFrame(av,g,0,aP,1.25/b.em,G.frame);b.addBox(av,ag);b.placeBox(ag,0,aO,true);if(aF){ag.style.width="100%"}}R=ah;for(ad=0,ab=au.length-1;ad<ab;ad++){o=Math.max(aj,ar[ad]+ao[ad+1]+aL[ad]);if(v[ad]!=="none"){q=b.createRule(av,1.25/b.em,0,aP);b.addBox(av,q);q.bbox={h:1.25/b.em,d:0,w:aP,rw:aP,lw:0};b.placeBox(q,0,R-ar[ad]-(o-ar[ad]-ao[ad+1])/2,true);if(v[ad]==="dashed"||aF){q.style.borderTop=q.style.height+" "+v[ad];q.style.height=0;q.style.width=q.style.borderLeftWidth;q.style.borderLeft="";if(aF){q.style.width="100%"}}}R-=o}if(aF){r.bbox.width=G.width;av.style.width="100%"}if(at[ay]){var ap=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ap.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ap.indentalign=ap.indentalignfirst}if(ap.indentalign===a.INDENTALIGN.AUTO){ap.indentalign=this.displayAlign}if(ap.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ap.indentshift=ap.indentshiftfirst}if(ap.indentshift==="auto"){ap.indentshift=this.displayIndent}var aI=b.createStack(r,false,"100%");b.addBox(aI,av);b.alignBox(av,ap.indentalign,0);if(ap.indentshift&&ap.indentalign!==a.INDENTALIGN.CENTER){av.style[{left:"Left",right:"Right"}[ap.indentalign]]=b.Em(b.length2em(ap.indentshift,ax))}at[ay].parentNode.parentNode.removeChild(at[ay].parentNode);b.addBox(aI,at[ay]);b.alignBox(at[ay],e[ay],0);if(b.msieRelativeWidthBug){av.style.top=at[ay].style.top=""}if(aF){av.style.width=G.width;r.bbox.width="100%"}at[ay].style.marginRight=at[ay].style.marginLeft=b.Em(b.length2em(G.minlabelspacing,ax))}if(!aF){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aF){if(!ag){ag=b.createFrame(av,g,0,aP,0,"none");b.addBox(av,ag);b.placeBox(ag,0,aO,true);ag.style.width="100%"}ag.style.backgroundColor=u.style.backgroundColor;ag.parentNode.insertBefore(ag,ag.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame){d.style.paddingLeft=d.style.paddingRight=".1667em"}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 
diff --git a/jax/output/HTML-CSS/jax.js b/jax/output/HTML-CSS/jax.js
index e130d9be5..676c7a604 100644
--- a/jax/output/HTML-CSS/jax.js
+++ b/jax/output/HTML-CSS/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],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,"white-space":"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(i){return this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=(m===1?this.Em(l+n):k+"px"),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.initialSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.initialSkipBug){m=n.w-n.rw-0.1;o+=n.lw}if(this.msieMarginScaleBug){o=(o*this.em)+"px"}else{o=this.Em(o)}if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));var k=j.bbox;if(k){k.w=i;k.exactW=true}k=j.parentNode.bbox;if(k){k.w=i;k.exactW=true}}else{j.style.width=j.parentNode.style.width="100%";if(j.bbox){j.bbox.width=i}if(j.parentNode.bbox){j.parentNode.bbox.width=i}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}if(k.load){d.RestartAfter(c.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=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(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p,exactW:true};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var 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k=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:v.mathbackground,width:e.Em(l),height:e.Em(u),verticalAlign:e.Em(i),marginLeft:e.Em(r),marginRight:e.Em(p)}});e.setBorders(k,q);if(t.bbox.width){k.style.width=t.bbox.width;k.style.marginRight="-"+t.bbox.width}if(e.msieInlineBlockAlignBug){k.style.position="relative";k.style.width=k.style.height=0;k.style.verticalAlign=k.style.marginLeft=k.style.marginRight="";k.style.border=k.style.padding="";if(q&&e.msieBorderWidthBug){u+=q.top+q.bottom;l+=q.left+q.right}k.style.width=e.Em(o+w);e.placeBox(e.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(v.mathbackground||"transparent"),width:e.Em(l),height:e.Em(u)}}),r,t.bbox.h+w);e.setBorders(k.firstChild,q)}t.parentNode.insertBefore(k,t);if(e.msieColorPositionBug){t.style.position="relative"}return k}return null},HTMLremoveColor:function(){var 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p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var 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L=this.HTMLgetScale(),F=this.HTMLgetMu(I);var n=e.createStack(I),j,l=[];var m=e.createBox(n);if(this.data[this.base]){l.push(this.data[this.base].toHTML(m));if(A!=null){this.data[this.base].HTMLstretchV(m,G,A)}else{if(G!=null){this.data[this.base].HTMLstretchH(m,G)}}}else{m.bbox=this.HTMLzeroBBox()}var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var J=e.TeX.x_height*L,z=e.TeX.scriptspace*L*0.75;var i,o;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(n);l.push(this.data[this.sup].toHTML(i))}if(this.HTMLnotEmpty(this.data[this.sub])){o=e.createBox(n);l.push(this.data[this.sub].toHTML(o))}e.MeasureSpans(l);if(i){i.bbox.w+=z;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(o){o.bbox.w+=z;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}e.placeBox(m,0,0);var C=e.TeX.sup_drop*k,B=e.TeX.sub_drop*k;var x=m.bbox.h-C,w=m.bbox.d+B,K=0,E;if(m.bbox.ic){K=m.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.bbox.scale===1&&!this.data[this.base].Get("largeop")){x=w=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:e.length2em(H.subscriptshift,F));H.superscriptshift=(H.superscriptshift===""?0:e.length2em(H.superscriptshift,F));if(!i){if(o){w=Math.max(w,e.TeX.sub1*L,o.bbox.h-(4/5)*J,H.subscriptshift);e.placeBox(o,m.bbox.w+z-K,-w,o.bbox)}}else{if(!o){j=this.getValues("displaystyle","texprimestyle");E=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];x=Math.max(x,E*L,i.bbox.d+(1/4)*J,H.superscriptshift);e.placeBox(i,m.bbox.w+z,x,i.bbox)}else{w=Math.max(w,e.TeX.sub2*L);var y=e.TeX.rule_thickness*L;if((x-i.bbox.d)-(o.bbox.h-w)<3*y){w=3*y-x+i.bbox.d+o.bbox.h;C=(4/5)*J-(x-i.bbox.d);if(C>0){x+=C;w-=C}}e.placeBox(i,m.bbox.w+z,Math.max(x,H.superscriptshift));e.placeBox(o,m.bbox.w+z-K,-Math.max(w,H.subscriptshift))}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a["annotation-xml"].Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(r,j){var n=this.Get("alttext");if(n&&n!==""){j.setAttribute("aria-label",n)}var k=e.addElement(r,"nobr",{isMathJax:true});r=this.HTMLcreateSpan(k);var o=e.createStack(r),l=e.createBox(o),q;o.style.fontSize=k.parentNode.style.fontSize;k.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}a.mbase.prototype.displayAlign=d.config.displayAlign;a.mbase.prototype.displayIndent=d.config.displayIndent;q=e.Measured(this.data[0].toHTML(l),l)}e.placeBox(l,0,0);var i=1/e.em,m=e.em/e.outerEm;e.em/=m;r.bbox.h*=m;r.bbox.d*=m;r.bbox.w*=m;r.bbox.lw*=m;r.bbox.rw*=m;if(q&&q.bbox.width!=null){o.style.width=q.bbox.width;l.style.width="100%"}this.HTMLhandleColor(r);if(q){e.createRule(r,(q.bbox.h+i)*m,(q.bbox.d+i)*m,0)}if(!this.isMultiline&&this.Get("display")==="block"&&r.bbox.width==null){var s=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(s.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){s.indentalign=s.indentalignfirst}if(s.indentalign===a.INDENTALIGN.AUTO){s.indentalign=this.displayAlign}j.style.textAlign=s.indentalign;if(s.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){s.indentshift=s.indentshiftfirst}if(s.indentshift==="auto"){s.indentshift=this.displayIndent}if(s.indentshift&&s.indentalign!==a.INDENTALIGN.CENTER){r.style[{left:"marginLeft",right:"marginRight"}[s.indentalign]]=e.Em(e.length2em(s.indentshift))}}return r},HTMLspanElement:a.mbase.prototype.HTMLspanElement});a.TeXAtom.Augment({toHTML:function(j){j=this.HTMLcreateSpan(j);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var i=e.createStack(j);var k=e.createBox(i);e.Measured(this.data[0].toHTML(k),k);e.placeBox(k,0,e.TeX.axis_height-(k.bbox.h+k.bbox.d)/2+k.bbox.d)}else{j.bbox=this.data[0].toHTML(j).bbox}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(i){var m=(document.documentMode||0);var l=i.versionAtLeast("7.0");var k=i.versionAtLeast("8.0")&&m>7;var j=(document.compatMode==="BackCompat");if(m<9){e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}e.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:j,msieDisappearingBug:(m>=8),msieMarginScaleBug:(m<8),msiePaddingWidthBug:true,msieBorderWidthBug:j,msieInlineBlockAlignBug:(!k||j),msiePlaceBoxBug:(k&&!j),msieClipRectBug:!k,msieNegativeSpaceBug:j,msieCloneNodeBug:(k&&i.version==="8.0"),initialSkipBug:(m<8),msieNegativeBBoxBug:(m>=8),msieIE6:!l,msieItalicWidthBug:true,zeroWidthBug:(m<8),FontFaceBug:true,msieFontCSSBug:i.isIE9,allowWebFonts:"eot"})},Firefox:function(j){var k=false;if(j.versionAtLeast("3.5")){var i=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||d.config.root.match(/^https?:\/\//)||(d.config.root+"/").substr(0,i.length)===i){k="otf"}}e.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:k})},Safari:function(m){var k=m.versionAtLeast("3.0");var j=m.versionAtLeast("3.1");var i=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var n=(j&&m.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!m.versionAtLeast("5.0"))||(i!=null&&(i[1]<2||(i[1]==2&&i[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!j,safariTextNodeBug:!k,safariWebFontSerif:["serif"],forceReflow:true,allowWebFonts:(j&&!n?"otf":false)});if(m.isPC){e.Augment({adjustAvailableFonts:e.removeSTIXfonts})}if(n){var l=d.config["HTML-CSS"];if(l){l.availableFonts=[];l.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(i){e.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(i.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(i){i.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:i.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(i.versionAtLeast("10.0")&&!i.isMini?"otf":false),adjustAvailableFonts:e.removeSTIXfonts})},Konqueror:function(i){e.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
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this.testFont(this.FontInfo[i])},testFont:function(l){if(l.isWebFont&&e.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!e.FONTDATA||!e.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(k,m){var q=3+(k.weight?2:0)+(k.style?4:0);var j="",l=0;var p=this.div.style.fontSize;this.div.style.fontSize=m;if(e.msieItalicWidthBug&&k.style==="italic"){this.text.nodeValue=j=this.compChar;l=this.div.offsetWidth}if(e.safariTextNodeBug){this.div.innerHTML=this.compChar+j}else{this.text.nodeValue=this.compChar+j}var i=this.div.offsetWidth-l;if(e.safariTextNodeBug){this.div.innerHTML=this.styleChar+j}else{this.text.nodeValue=this.styleChar+j}var o=Math.floor((this.div.offsetWidth-l)/i+0.5);if(o===q){if(e.safariTextNodeBug){this.div.innerHTML=this.versionChar+j}else{this.text.nodeValue=this.versionChar+j}k.version=Math.floor((this.div.offsetWidth-l)/i+1.5)/2}this.div.style.fontSize=p;return(o===q)},getComparisonWidths:function(n,l){if(e.FONTDATA&&e.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(e.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;if(e.safariWebFontSerif){this.div.style.fontFamily=e.safariWebFontSerif[0];p=this.div.offsetWidth}for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(j){d.Startup.signal.Post("HTML-CSS Jax - Web-Font "+e.fontInUse+"/"+j.directory);var l=MathJax.Message.File("Web-Font "+e.fontInUse+"/"+j.directory);var i=MathJax.Callback({});var k=MathJax.Callback(["loadComplete",this,j,l,i]);c.timer.start(c,[this.checkWebFont,j,k],0,this.timeout);return i},loadComplete:function(k,m,j,i){MathJax.Message.Clear(m);if(i===c.STATUS.OK){j();return}this.loadError(k);if(d.Browser.isFirefox&&e.allowWebFonts){var l=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){l+=":"+document.location.port}l+="/";if(c.fileURL(e.webfontDir).substr(0,l.length)!==l){this.firefoxFontError(k)}}e.loadWebFontError(k,j)},loadError:function(i){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+i.directory,null,2000)},firefoxFontError:function(i){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(i,j,k){if(i.time(k)){return}if(e.Font.testFont(j)){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},fontFace:function(k){var l=e.allowWebFonts;var n=e.FONTDATA.FONTS[k];if(e.msieFontCSSBug&&!n.family.match(/-Web$/)){n.family+="-Web"}var j=c.fileURL(e.webfontDir+"/"+l);var i=k.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!i.match(/-/)){i+="-Regular"}if(l==="svg"){i+=".svg#"+i}else{i+="."+l}var m={"font-family":n.family,src:"url('"+j+"/"+i+"')"};if(l==="svg"){m.src+=" format('svg')"}if(!(e.FontFaceBug&&n.isWebFont)){if(k.match(/-bold/)){m["font-weight"]="bold"}if(k.match(/-italic/)){m["font-style"]="italic"}}return m}});var g,h,f;e.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"},".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=0)"},".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"}}},settings:d.config.menuSettings,hideProcessedMath:true,Font:null,Config:function(){if(!this.require){this.require=[]}this.Font=b();this.SUPER(arguments).Config.call(this);var j=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(j.scale){this.config.scale=j.scale}if(j.font&&j.font!=="Auto"){if(j.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(j.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(j.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(j.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var i=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!i&&this.allowWebFonts){i=this.config.webFont;if(i){this.webFonts=true}}if(!i&&this.config.imageFont){i=this.config.imageFont;this.imgFonts=true}if(i){this.fontInUse=i;this.fontDir+="/"+i;this.webfontDir+="/"+i;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");d.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;h=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.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"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var j=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=j.offsetWidth/5;this.hiddenDiv.removeChild(j);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(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(i){}}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(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var k=0,j=e.config.preloadWebFonts.length;k<j;k++){var l=e.FONTDATA.FONTS[e.config.preloadWebFonts[k]];if(!l.available){e.Font.testFont(l)}}},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(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:g.Menu,onmousedown:g.Mousedown,onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousemove:g.Mousemove,onclick:g.Click,ondblclick:g.DblClick});if(d.Browser.noContextMenu){z.ontouchstart=h.start;z.ontouchend=h.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk},Translate:function(j,n){if(!j.parentNode){return}var i=j.MathJax.elementJax,m=i.root,k=document.getElementById(i.inputID+"-Frame"),o=(i.HTMLCSS.display?k.parentNode:k);this.em=a.mbase.prototype.em=i.HTMLCSS.em*i.HTMLCSS.scale;this.outerEm=i.HTMLCSS.em;this.scale=i.HTMLCSS.scale;this.linebreakWidth=i.HTMLCSS.lineWidth;k.style.fontSize=i.HTMLCSS.fontSize;this.initImg(k);this.initHTML(m,k);m.setTeXclass();try{m.toHTML(k,o)}catch(l){if(l.restart){while(k.firstChild){k.removeChild(k.firstChild)}}throw l}if(i.HTMLCSS.isHidden){j.parentNode.insertBefore(o,j)}o.className=o.className.split(/ /)[0];if(this.hideProcessedMath){o.className+=" MathJax_Processed";if(j.MathJax.preview){i.HTMLCSS.preview=j.MathJax.preview;delete j.MathJax.preview}n.HTMLCSSeqn++;if(n.HTMLCSSeqn>=n.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(i){if(i.parentNode.className==="MathJax_Display"){i=i.parentNode}return d.getJaxFor(i.nextSibling)},getHoverSpan:function(i,j){return i.root.HTMLspanElement()},getHoverBBox:function(i,l,m){var n=l.bbox,k=i.HTMLCSS.outerEm;var j={w:n.w*k,h:n.h*k,d:n.d*k};if(n.width){j.width=n.width}return j},Zoom:function(j,t,s,i,q){t.className="MathJax";t.style.fontSize=j.HTMLCSS.fontSize;var v=t.appendChild(this.EmExSpan.cloneNode(true));var m=v.lastChild.firstChild.offsetHeight/60;this.em=a.mbase.prototype.em=m;this.outerEm=m/j.HTMLCSS.scale;v.parentNode.removeChild(v);this.idPostfix="-zoom";j.root.toHTML(t,t);this.idPostfix="";var l=j.root.HTMLspanElement().bbox.width;if(l){t.style.width=Math.floor(i-1.5*e.em)+"px";t.style.display="inline-block";var k=(j.root.id||"MathJax-Span-"+j.root.spanID)+"-zoom";var n=document.getElementById(k).firstChild;while(n&&n.style.width!==l){n=n.nextSibling}if(n){n.style.width="100%"}}t.style.position=s.style.position="absolute";var r=t.offsetWidth,p=t.offsetHeight,u=s.offsetHeight,o=s.offsetWidth;if(o===0){o=s.parentNode.offsetWidth}t.style.position=s.style.position="";return{Y:-g.getBBox(t).h,mW:o,mH:u,zW:r,zH:p}},initImg:function(i){},initHTML:function(j,i){},initFont:function(i){var k=e.FONTDATA.FONTS,j=e.config.availableFonts;if(j&&j.length&&e.Font.testFont(k[i])){k[i].available=true;return null}if(!this.allowWebFonts){return null}k[i].isWebFont=true;if(e.FontFaceBug){k[i].family=i;if(e.msieFontCSSBug){k[i].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(i)})},Remove:function(i){var j=document.getElementById(i.inputID+"-Frame");if(j){if(i.HTMLCSS.display){j=j.parentNode}j.parentNode.removeChild(j)}delete i.HTMLCSS},getHD:function(j){var i=j.style.position;j.style.position="absolute";this.HDimg.style.height="0px";j.appendChild(this.HDspan);var k={h:j.offsetHeight};this.HDimg.style.height=k.h+"px";k.d=j.offsetHeight-k.h;k.h-=k.d;k.h/=this.em;k.d/=this.em;j.removeChild(this.HDspan);j.style.position=i;return k},getW:function(m){var j,l,k=(m.bbox||{}).w,n=m;if(m.bbox&&m.bbox.exactW){return k}if((m.bbox&&k>=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(i){if(Math.abs(i)<0.0006){return"0em"}return i.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(i){return(100*i).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(p,j,n){if(typeof(p)!=="string"){p=p.toString()}if(p===""){return""}if(p===a.SIZE.NORMAL){return 1}if(p===a.SIZE.BIG){return 2}if(p===a.SIZE.SMALL){return 0.71}if(p==="infinity"){return e.BIGDIMEN}var l=this.FONTDATA.TeX_factor;if(p.match(/mathspace$/)){return e.MATHSPACE[p]*l}var k=p.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var i=parseFloat(k[1]||"1"),o=k[2];if(n==null){n=1}if(j==null){j=1}if(o==="em"){return i*l}if(o==="ex"){return i*e.TeX.x_height*l}if(o==="%"){return i/100*n}if(o==="px"){return i/e.em}if(o==="pt"){return i/10*l}if(o==="pc"){return i*1.2*l}if(o==="in"){return i*this.pxPerInch/e.em}if(o==="cm"){return i*this.pxPerInch/e.em/2.54}if(o==="mm"){return i*this.pxPerInch/e.em/25.4}if(o==="mu"){return i/18*l*j}return i*l*n},thickness2em:function(j,i){var k=e.TeX.rule_thickness;if(j===a.LINETHICKNESS.MEDIUM){return k}if(j===a.LINETHICKNESS.THIN){return 0.67*k}if(j===a.LINETHICKNESS.THICK){return 1.67*k}return this.length2em(j,i,k)},getPadding:function(j){var l={top:0,right:0,bottom:0,left:0},i=false;for(var m in l){if(l.hasOwnProperty(m)){var k=j.style["padding"+m.charAt(0).toUpperCase()+m.substr(1)];if(k){l[m]=this.length2em(k);i=true}}}return(i?l:false)},getBorders:function(n){var k={top:0,right:0,bottom:0,left:0},l={},j=false;for(var o in k){if(k.hasOwnProperty(o)){var i="border"+o.charAt(0).toUpperCase()+o.substr(1);var m=n.style[i+"Style"];if(m){j=true;k[o]=this.length2em(n.style[i+"Width"]);l[i]=[n.style[i+"Width"],n.style[i+"Style"],n.style[i+"Color"]].join(" ")}}}k.css=l;return(j?k:false)},setBorders:function(i,j){if(j){for(var k in j.css){if(j.css.hasOwnProperty(k)){i.style[k]=j.css[k]}}}},createStrut:function(k,j,l){var i=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:j+"px",width:"1px",marginRight:"-1px"}});if(l){k.insertBefore(i,k.firstChild)}else{k.appendChild(i)}return i},createBlank:function(j,i,k){var l=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(i)}});if(k){j.insertBefore(l,j.firstChild)}else{j.appendChild(l)}return l},createShift:function(j,i,l){var k=this.Element("span",{style:{marginLeft:this.Em(i)},isMathJax:true});if(l){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}return k},createSpace:function(m,l,p,i,j){var k=this.Em(Math.max(0,l+p)),n=this.Em(-p);if(this.msieInlineBlockAlignBug){n=this.Em(e.getHD(m.parentNode).d-p)}if(m.isBox||m.className=="mspace"){var o=(m.scale==null?1:m.scale);m.bbox={exactW:true,h:l*o,d:p*o,w:i*o,rw:i*o,lw:0};m.style.height=k;m.style.verticalAlign=n;m.HH=(l+p)*o}else{m=this.addElement(m,"span",{style:{height:k,verticalAlign:n},isMathJax:true})}if(i>=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em<k){q=k/this.em}if(l+n>0&&(l+n)*this.em<k){m=1/(l+n)*(k/this.em);l*=m;n*=m}if(!j){j="solid"}else{j="solid "+j}j=this.Em(q)+" "+j;var r=(m===1?this.Em(l+n):k+"px"),i=this.Em(-n);var o=this.addElement(p,"span",{style:{borderLeft:j,display:"inline-block",overflow:"hidden",width:0,height:r,verticalAlign:i},bbox:{h:l,d:n,w:q,rw:q,lw:0,exactW:true},noAdjust:true,HH:l+n,isMathJax:true});if(q>0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.initialSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p<v.lw){v.lw=A.lw+p}if(A.width!=null&&!A.isFixed){if(v.width==null){s.style.width=v.width="100%"}q.style.width=A.width}}},alignBox:function(k,q,p){this.placeBox(k,0,p);var n=k.bbox;if(n.isMultiline){return}var j=n.width!=null&&!n.isFixed;var m=0,o=-n.w/2,i="50%";if(this.initialSkipBug){m=n.w-n.rw-0.1;o+=n.lw}if(this.msieMarginScaleBug){o=(o*this.em)+"px"}else{o=this.Em(o)}if(j){o="";i=(50-parseFloat(n.width)/2)+"%"}d.Insert(k.style,({right:{left:"",right:this.Em(m)},center:{left:i,marginLeft:o}})[q])},setStackWidth:function(j,i){if(typeof(i)==="number"){j.style.width=this.Em(Math.max(0,i));var 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B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var 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x="",v,B,s,k,A,C,j=y;if(r.length===0){return}if(!y.bbox){y.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[a.VARIANT.NORMAL]}C=o;for(var z=0,w=r.length;z<w;z++){o=C;v=r.charCodeAt(z);B=r.charAt(z);if(B===this.PLANE1){z++;v=r.charCodeAt(z)+119808-56320;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(v,o);v=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&v>=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var 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]/1000<y.bbox.lw){y.bbox.lw=y.bbox.w+B[3]/1000}if(y.bbox.w+B[4]/1000>y.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(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var j=i.style||"normal",l=i.weight||"normal";if(j!=="normal"||m){k.style.fontStyle=j}if(l!=="normal"||m){k.style.fontWeight=l}}},handleChar:function(j,i,p,o,m){var l=p[5];if(l.img){return this.handleImg(j,i,p,o,m)}if(l.isUnknown&&this.FONTDATA.DELIMITERS[o]){if(m.length){this.addText(j,m)}var k=j.scale;e.createDelimiter(j,o,0,1,i);j.scale=k;p[0]=j.bbox.h*1000;p[1]=j.bbox.d*1000;p[2]=j.bbox.w*1000;p[3]=j.bbox.lw*1000;p[4]=j.bbox.rw*1000;return""}if(l.c==null){if(o<=65535){l.c=String.fromCharCode(o)}else{l.c=this.PLANE1+String.fromCharCode(o-119808+56320)}}if(p[2]||!this.msieAccentBug||m.length){return m+l.c}e.createShift(j,p[3]/1000);e.createShift(j,(p[4]-p[3])/1000);this.addText(j,l.c);e.createShift(j,-p[4]/1000);return""},handleImg:function(j,i,m,l,k){return k},lookupChar:function(o,s){var l,j;if(!o.FONTS){var r=this.FONTDATA.FONTS;var q=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof 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i=MathJax.Callback.Queue();i.Push(["Require",c,this.fontDir+"/"+j]);if(this.imgFonts){if(!MathJax.isPacked){j=j.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}i.Push(["Require",c,this.webfontDir+"/png/"+j])}d.RestartAfter(i.Push({}))},loadWebFont:function(i){i.available=i.isWebFont=true;if(e.FontFaceBug){i.family=i.name;if(e.msieFontCSSBug){i.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(i))},loadWebFontError:function(j,i){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");j.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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j=(this.useMMLspacing?0:e.length2em(this.texSpacing()||0))+0.12;i.style.paddingLeft=e.Em(j);i.style.paddingRight=".12em"}}});a.msqrt.Augment({toHTML:function(u){u=this.HTMLcreateSpan(u);var w=e.createStack(u);var l=e.createBox(w),r=e.createBox(w),o=e.createBox(w);var n=this.HTMLgetScale();var y=e.TeX.rule_thickness*n,k,j,v,m;if(this.Get("displaystyle")){k=e.TeX.x_height*n}else{k=y}j=Math.max(y+k/4,1.5*e.TeX.min_rule_thickness/this.em);var i=this.HTMLboxChild(0,l);v=i.bbox.h+i.bbox.d+j+y;e.createDelimiter(o,8730,v,n);e.MeasureSpans([i,o]);m=i.bbox.w;var s=0;if(o.isMultiChar||(e.AdjustSurd&&e.imgFonts)){o.bbox.w*=0.95}if(o.bbox.h+o.bbox.d>v){j=((o.bbox.h+o.bbox.d)-(v-y))/2}var z=e.FONTDATA.DELIMITERS[e.FONTDATA.RULECHAR];if(!z||m<z.HW[0][0]*n||n<0.75){e.createRule(r,y,0,m)}else{e.createDelimiter(r,e.FONTDATA.RULECHAR,m,n)}v=i.bbox.h+j+y;j=v*e.rfuzz;if(o.isMultiChar){j=e.rfuzz}s=this.HTMLaddRoot(w,o,s,o.bbox.h+o.bbox.d-v,n);e.placeBox(o,s,v-o.bbox.h);e.placeBox(r,s+o.bbox.w,v-r.bbox.h+j);e.placeBox(l,s+o.bbox.w,0);this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLaddRoot:function(k,j,i,m,l){return i}});a.mroot.Augment({toHTML:a.msqrt.prototype.toHTML,HTMLaddRoot:function(q,j,o,m,i){var k=e.createBox(q);if(this.data[1]){var n=this.data[1].toHTML(k);n.style.paddingRight=n.style.paddingLeft="";e.Measured(n,k)}else{k.bbox=this.HTMLzeroBBox()}var l=this.HTMLrootHeight(j.bbox.h+j.bbox.d,i,k)-m;var p=Math.min(k.bbox.w,k.bbox.rw);o=Math.max(p,j.offset);e.placeBox(k,o-p,l);return o-j.offset},HTMLrootHeight:function(k,j,i){return 0.45*(k-0.9*j)+0.6*j+Math.max(0,i.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(i,j,l,k){if(i){if(!k&&i.HTMLcanStretch("Vertical")){l.push(i);i=(i.CoreMO()||i)}this.HTMLcombineBBoxes(i,j)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(i){if(this.data[0]!=null){i=this.data[0].toHTML(i);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(i)}return i},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(j,i){return(this.data[0]!=null?this.data[0].HTMLstretchH(j,i):j)},HTMLstretchV:function(j,i,k){return(this.data[0]!=null?this.data[0].HTMLstretchV(j,i,k):j)}});a.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return a.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=e.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=e.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}e.MeasureSpans(n);var l=-e.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-e.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=e.TeX.rule_thickness,F=e.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()},N=(o.bbox.ic||0);var u,r,z,w,s,B,I;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=e.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/e.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!e.zeroWidthBug){v.insertBefore(e.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}e.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=e.TeX.big_op_spacing1*O*F;w=e.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=e.TeX.big_op_spacing2*O*F;w=e.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}e.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.msubsup.Augment({toHTML:function(I,G,A){I=this.HTMLcreateSpan(I);var L=this.HTMLgetScale(),F=this.HTMLgetMu(I);var n=e.createStack(I),j,l=[];var m=e.createBox(n);if(this.data[this.base]){l.push(this.data[this.base].toHTML(m));if(A!=null){this.data[this.base].HTMLstretchV(m,G,A)}else{if(G!=null){this.data[this.base].HTMLstretchH(m,G)}}}else{m.bbox=this.HTMLzeroBBox()}var k=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var J=e.TeX.x_height*L,z=e.TeX.scriptspace*L;var i,o;if(this.HTMLnotEmpty(this.data[this.sup])){i=e.createBox(n);l.push(this.data[this.sup].toHTML(i))}if(this.HTMLnotEmpty(this.data[this.sub])){o=e.createBox(n);l.push(this.data[this.sub].toHTML(o))}e.MeasureSpans(l);if(i){i.bbox.w+=z;i.bbox.rw=Math.max(i.bbox.w,i.bbox.rw)}if(o){o.bbox.w+=z;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}e.placeBox(m,0,0);var C=e.TeX.sup_drop*k,B=e.TeX.sub_drop*k;var x=m.bbox.h-C,w=m.bbox.d+B,K=0,E;if(m.bbox.ic){K=m.bbox.ic;if(m.bbox.icAdded){m.bbox.w-=K}}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.bbox.scale===1&&!this.data[this.base].Get("largeop")){x=w=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:e.length2em(H.subscriptshift,F));H.superscriptshift=(H.superscriptshift===""?0:e.length2em(H.superscriptshift,F));if(!i){if(o){w=Math.max(w,e.TeX.sub1*L,o.bbox.h-(4/5)*J,H.subscriptshift);e.placeBox(o,m.bbox.w,-w,o.bbox)}}else{if(!o){j=this.getValues("displaystyle","texprimestyle");E=e.TeX[(j.displaystyle?"sup1":(j.texprimestyle?"sup3":"sup2"))];x=Math.max(x,E*L,i.bbox.d+(1/4)*J,H.superscriptshift);e.placeBox(i,m.bbox.w+K,x,i.bbox)}else{w=Math.max(w,e.TeX.sub2*L);var y=e.TeX.rule_thickness*L;if((x-i.bbox.d)-(o.bbox.h-w)<3*y){w=3*y-x+i.bbox.d+o.bbox.h;C=(4/5)*J-(x-i.bbox.d);if(C>0){x+=C;w-=C}}e.placeBox(i,m.bbox.w+K,Math.max(x,H.superscriptshift));e.placeBox(o,m.bbox.w,-Math.max(w,H.subscriptshift))}}this.HTMLhandleSpace(I);this.HTMLhandleColor(I);return I},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});a.mmultiscripts.Augment({toHTML:a.mbase.HTMLautoload});a.mtable.Augment({toHTML:a.mbase.HTMLautoload});a["annotation-xml"].Augment({toHTML:a.mbase.HTMLautoload});a.math.Augment({toHTML:function(r,j){var n=this.Get("alttext");if(n&&n!==""){j.setAttribute("aria-label",n)}var k=e.addElement(r,"nobr",{isMathJax:true});r=this.HTMLcreateSpan(k);var o=e.createStack(r),l=e.createBox(o),q;o.style.fontSize=k.parentNode.style.fontSize;k.parentNode.style.fontSize="";if(this.data[0]!=null){if(e.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}a.mbase.prototype.displayAlign=d.config.displayAlign;a.mbase.prototype.displayIndent=d.config.displayIndent;q=e.Measured(this.data[0].toHTML(l),l)}e.placeBox(l,0,0);var i=1/e.em,m=e.em/e.outerEm;e.em/=m;r.bbox.h*=m;r.bbox.d*=m;r.bbox.w*=m;r.bbox.lw*=m;r.bbox.rw*=m;if(q&&q.bbox.width!=null){o.style.width=q.bbox.width;l.style.width="100%"}this.HTMLhandleColor(r);if(q){e.createRule(r,(q.bbox.h+i)*m,(q.bbox.d+i)*m,0)}if(!this.isMultiline&&this.Get("display")==="block"&&r.bbox.width==null){var s=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(s.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){s.indentalign=s.indentalignfirst}if(s.indentalign===a.INDENTALIGN.AUTO){s.indentalign=this.displayAlign}j.style.textAlign=s.indentalign;if(s.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){s.indentshift=s.indentshiftfirst}if(s.indentshift==="auto"){s.indentshift=this.displayIndent}if(s.indentshift&&s.indentalign!==a.INDENTALIGN.CENTER){r.style[{left:"marginLeft",right:"marginRight"}[s.indentalign]]=e.Em(e.length2em(s.indentshift))}}return r},HTMLspanElement:a.mbase.prototype.HTMLspanElement});a.TeXAtom.Augment({toHTML:function(j){j=this.HTMLcreateSpan(j);if(this.data[0]!=null){if(this.texClass===a.TEXCLASS.VCENTER){var i=e.createStack(j);var k=e.createBox(i);e.Measured(this.data[0].toHTML(k),k);e.placeBox(k,0,e.TeX.axis_height-(k.bbox.h+k.bbox.d)/2+k.bbox.d)}else{j.bbox=this.data[0].toHTML(j).bbox}}this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",e,"jax.js"]),0)})});d.Register.StartupHook("End Config",function(){d.Browser.Select({MSIE:function(i){var m=(document.documentMode||0);var l=i.versionAtLeast("7.0");var k=i.versionAtLeast("8.0")&&m>7;var j=(document.compatMode==="BackCompat");if(m<9){e.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";e.config.styles[".MathJax .MathJax_HitBox"].opacity=0;e.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}e.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:j,msieDisappearingBug:(m>=8),msieMarginScaleBug:(m<8),msiePaddingWidthBug:true,msieBorderWidthBug:j,msieInlineBlockAlignBug:(!k||j),msiePlaceBoxBug:(k&&!j),msieClipRectBug:!k,msieNegativeSpaceBug:j,msieCloneNodeBug:(k&&i.version==="8.0"),initialSkipBug:(m<8),msieNegativeBBoxBug:(m>=8),msieIE6:!l,msieItalicWidthBug:true,zeroWidthBug:(m<8),FontFaceBug:true,msieFontCSSBug:i.isIE9,allowWebFonts:"eot"})},Firefox:function(j){var k=false;if(j.versionAtLeast("3.5")){var i=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||d.config.root.match(/^https?:\/\//)||(d.config.root+"/").substr(0,i.length)===i){k="otf"}}e.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:k})},Safari:function(m){var k=m.versionAtLeast("3.0");var j=m.versionAtLeast("3.1");var i=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var n=(j&&m.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!m.versionAtLeast("5.0"))||(i!=null&&(i[1]<2||(i[1]==2&&i[2]<2)))));e.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!j,safariTextNodeBug:!k,safariWebFontSerif:["serif"],forceReflow:true,allowWebFonts:(j&&!n?"otf":false)});if(m.isPC){e.Augment({adjustAvailableFonts:e.removeSTIXfonts})}if(n){var l=d.config["HTML-CSS"];if(l){l.availableFonts=[];l.preferredFont=null}else{d.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(i){e.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(i.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(i){i.isMini=(navigator.appVersion.match("Opera Mini")!=null);e.config.styles[".MathJax .merror"]["vertical-align"]=null;e.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:i.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(i.versionAtLeast("10.0")&&!i.isMini?"otf":false),adjustAvailableFonts:e.removeSTIXfonts})},Konqueror:function(i){e.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(d.config.menuSettings.zoom!=="None"){c.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js
index de8dcef0e..3651059dc 100644
--- a/unpacked/jax/output/HTML-CSS/jax.js
+++ b/unpacked/jax/output/HTML-CSS/jax.js
@@ -1461,13 +1461,15 @@
 
     MML.mbase.Augment({
       toHTML: function (span) {
+        var ic;
 	span = this.HTMLcreateSpan(span); if (this.type != "mrow") {span = this.HTMLhandleSize(span)}
 	for (var i = 0, m = this.data.length; i < m; i++)
-	  {if (this.data[i]) {this.data[i].toHTML(span)}}
+	  {if (this.data[i]) {ic = this.data[i].toHTML(span).bbox.ic}}
 	var stretchy = this.HTMLcomputeBBox(span);
 	var h = span.bbox.h, d = span.bbox.d;
 	for (i = 0, m = stretchy.length; i < m; i++) {stretchy[i].HTMLstretchV(span,h,d)}
 	if (stretchy.length) {this.HTMLcomputeBBox(span,true)}
+        if (ic) {span.bbox.ic = ic} // retain italic correction from children
         if (this.HTMLlineBreaks(span)) {span = this.HTMLmultiline(span)}
 	this.HTMLhandleSpace(span);
 	this.HTMLhandleColor(span);
@@ -1804,6 +1806,7 @@
 	  {if (this.data[i]) {this.data[i].toHTML(span,variant)}}
 	if (!span.bbox) {span.bbox = {w:0, h:0, d:0, rw:0, lw:0}}
 	if (this.data.join("").length !== 1) {delete span.bbox.skew}
+        else if (span.bbox.rw > span.bbox.w) {span.bbox.ic = 1.3*(span.bbox.rw-span.bbox.w)+.05} // fake IC for now
 	this.HTMLhandleSpace(span);
 	this.HTMLhandleColor(span);
 	return span;
@@ -1856,9 +1859,10 @@
 	  }
 	  span.bbox.h -= p; span.bbox.d += p;
 	  if (span.bbox.rw > span.bbox.w) {
-	    span.bbox.ic = span.bbox.rw-span.bbox.w;
+	    span.bbox.ic = 1.25*(span.bbox.rw-span.bbox.w);
 	    HTMLCSS.createBlank(span,span.bbox.ic);
-	    span.bbox.w = span.bbox.rw;
+	    span.bbox.w += span.bbox.ic; span.bbox.rw = span.bbox.w;
+            span.bbox.icAdded = true;
 	  }
 	}
 	this.HTMLhandleSpace(span);
@@ -2264,7 +2268,7 @@
           if (box.bbox.w > WW) {WW = box.bbox.w}
         }}
 	var t = HTMLCSS.TeX.rule_thickness, factor = HTMLCSS.FONTDATA.TeX_factor;
-	var base = boxes[this.base] || {bbox: this.HTMLzeroBBox()}, delta = (base.bbox.ic || 0);
+        var base = boxes[this.base] || {bbox: this.HTMLzeroBBox()}, delta = (base.bbox.ic || 0);
 	var x, y, z1, z2, z3, dw, k;
 	for (i = 0, m = this.data.length; i < m; i++) {
 	  if (this.data[i] != null) {
@@ -2289,7 +2293,7 @@
 		k = Math.max(z1,z2-Math.max(0,box.bbox.d));
 	      }
 	      k = Math.max(k,1.5/this.em); // force to be at least 1.5px
-	      x += delta; y = base.bbox.h + box.bbox.d + k;
+	      x += delta/2; y = base.bbox.h + box.bbox.d + k;
 	      box.bbox.h += z3;
 	    } else if (i == this.under) {
 	      if (accent) {
@@ -2300,7 +2304,7 @@
 		k = Math.max(z1,z2-box.bbox.h);
 	      }
 	      k = Math.max(k,1.5/this.em); // force to be at least 1.5px
-	      x -= delta; y = -(base.bbox.d + box.bbox.h + k);
+	      x -= delta/2; y = -(base.bbox.d + box.bbox.h + k);
 	      box.bbox.d += z3;
 	    }
 	    HTMLCSS.placeBox(box,x,y);
@@ -2326,8 +2330,7 @@
 	  else if (HW != null) {this.data[this.base].HTMLstretchH(base,HW)}
 	} else {base.bbox = this.HTMLzeroBBox()}
 	var sscale = (this.data[this.sup] || this.data[this.sub] || this).HTMLgetScale();
-	var x_height = HTMLCSS.TeX.x_height * scale,
-	    s = HTMLCSS.TeX.scriptspace * scale * .75;  // FIXME: .75 can be removed when IC is right?
+	var x_height = HTMLCSS.TeX.x_height * scale, s = HTMLCSS.TeX.scriptspace * scale;
 	var sup, sub;
 	if (this.HTMLnotEmpty(this.data[this.sup]))
           {sup = HTMLCSS.createBox(stack); children.push(this.data[this.sup].toHTML(sup))}
@@ -2339,7 +2342,10 @@
 	HTMLCSS.placeBox(base,0,0);
 	var q = HTMLCSS.TeX.sup_drop * sscale, r = HTMLCSS.TeX.sub_drop * sscale;
 	var u = base.bbox.h - q, v = base.bbox.d + r, delta = 0, p;
-	if (base.bbox.ic) {delta = base.bbox.ic}
+	if (base.bbox.ic) {
+          delta = base.bbox.ic;
+          if (base.bbox.icAdded) {base.bbox.w -= delta}  // if already added by <mo>, remove it
+        }
 	if (this.data[this.base] &&
 	   (this.data[this.base].type === "mi" || this.data[this.base].type === "mo")) {
 	  if (this.data[this.base].data.join("").length === 1 && base.bbox.scale === 1 &&
@@ -2351,14 +2357,14 @@
 	if (!sup) {
 	  if (sub) {
 	    v = Math.max(v,HTMLCSS.TeX.sub1*scale,sub.bbox.h-(4/5)*x_height,min.subscriptshift);
-	    HTMLCSS.placeBox(sub,base.bbox.w+s-delta,-v,sub.bbox);
+	    HTMLCSS.placeBox(sub,base.bbox.w,-v,sub.bbox);
 	  }
 	} else {
 	  if (!sub) {
 	    values = this.getValues("displaystyle","texprimestyle");
 	    p = HTMLCSS.TeX[(values.displaystyle ? "sup1" : (values.texprimestyle ? "sup3" : "sup2"))];
 	    u = Math.max(u,p*scale,sup.bbox.d+(1/4)*x_height,min.superscriptshift);
-	    HTMLCSS.placeBox(sup,base.bbox.w+s,u,sup.bbox);
+	    HTMLCSS.placeBox(sup,base.bbox.w+delta,u,sup.bbox);
 	  } else {
 	    v = Math.max(v,HTMLCSS.TeX.sub2*scale);
 	    var t = HTMLCSS.TeX.rule_thickness * scale;
@@ -2367,8 +2373,8 @@
 	      q = (4/5)*x_height - (u - sup.bbox.d);
 	      if (q > 0) {u += q; v -= q}
 	    }
-	    HTMLCSS.placeBox(sup,base.bbox.w+s,Math.max(u,min.superscriptshift));
-	    HTMLCSS.placeBox(sub,base.bbox.w+s-delta,-Math.max(v,min.subscriptshift));
+	    HTMLCSS.placeBox(sup,base.bbox.w+delta,Math.max(u,min.superscriptshift));
+	    HTMLCSS.placeBox(sub,base.bbox.w,-Math.max(v,min.subscriptshift));
 	  }
 	}
 	this.HTMLhandleSpace(span);