From 5cafb84908a966629cdd0941709f7e5057abb05e Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Sat, 11 Feb 2012 10:28:56 -0500
Subject: [PATCH 01/10] Add NoMathPlayer parameter to prevent the MathPlayer
 setup when the page is loaded (users can still switch to NativeMML and the
 setup will be done at that point).

---
 MathJax.js                  |  2 +-
 config/TeX-AMS_HTML-full.js | 53 ++-----------------------------------
 unpacked/MathJax.js         |  2 +-
 3 files changed, 4 insertions(+), 53 deletions(-)

diff --git a/MathJax.js b/MathJax.js
index 27959d9dd..49e3b8d27 100644
--- a/MathJax.js
+++ b/MathJax.js
@@ -26,5 +26,5 @@ if (!window.MathJax) {window.MathJax = {}}
 
 MathJax.isPacked = true;
 
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diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
index 959e784ac..569869541 100644
--- a/config/TeX-AMS_HTML-full.js
+++ b/config/TeX-AMS_HTML-full.js
@@ -1,7 +1,7 @@
 /*
  *  /MathJax/config/TeX-AMS_HTML-full.js
  *  
- *  Copyright (c) 2010-11 Design Science, Inc.
+ *  Copyright (c) 2010 Design Science, Inc.
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
@@ -12,54 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Ajax.Preloading(
-  "[MathJax]/jax/input/TeX/config.js",
-  "[MathJax]/jax/output/HTML-CSS/config.js",
-  "[MathJax]/extensions/tex2jax.js",
-  "[MathJax]/extensions/MathEvents.js",
-  "[MathJax]/extensions/MathZoom.js",
-  "[MathJax]/extensions/MathMenu.js",
-  "[MathJax]/jax/element/mml/jax.js",
-  "[MathJax]/extensions/toMathML.js",
-  "[MathJax]/extensions/TeX/noErrors.js",
-  "[MathJax]/extensions/TeX/noUndefined.js",
-  "[MathJax]/jax/input/TeX/jax.js",
-  "[MathJax]/extensions/TeX/AMSmath.js",
-  "[MathJax]/extensions/TeX/AMSsymbols.js",
-  "[MathJax]/jax/output/HTML-CSS/jax.js",
-  "[MathJax]/jax/output/HTML-CSS/autoload/mtable.js"
-);
+MathJax.Hub.Config({extensions:["tex2jax.js","MathEvents.js","MathZoom.js","MathMenu.js","toMathML.js","TeX/noErrors.js","TeX/noUndefined.js","TeX/AMSmath.js","TeX/AMSsymbols.js"],jax:["input/TeX","output/HTML-CSS"]});MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js");
 
-MathJax.Hub.Config({"v1.0-compatible":false});
-
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.0",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.0",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-
-MathJax.Extension.tex2jax={version:"2.0",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterPreview(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-
-(function(d,h,l,g,b,j){var p="2.0";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var m=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(q){return m.Handler(q,"Mousedown",this)},Mouseup:function(q){return m.Handler(q,"Mouseup",this)},Mousemove:function(q){return m.Handler(q,"Mousemove",this)},Mouseover:function(q){return m.Handler(q,"Mouseover",this)},Mouseout:function(q){return m.Handler(q,"Mouseout",this)},Click:function(q){return m.Handler(q,"Click",this)},DblClick:function(q){return m.Handler(q,"DblClick",this)},Menu:function(q){return m.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return m.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true;q.returnValue=false}return false},ContextMenu:function(r,y,u){var w=b[y.jaxID],t=w.getJaxFromMath(y);var z=(w.config.showMathMenu!=null?w:d).config.showMathMenu;if(!z||(k.context!=="MathJax"&&!u)){return}if(c.msieEventBug){r=window.event||r}m.ClearSelection();f.ClearHoverTimer();if(t.hover){if(t.hover.remove){clearTimeout(t.hover.remove);delete t.hover.remove}t.hover.nofade=true}var s=MathJax.Menu;if(s){s.jax=t;var q=s.menu.Find("Show Math As").menu;q.items[1].name=(j[t.inputJax].sourceMenuTitle||"Original Form");q.items[0].hidden=(t.inputJax==="Error");var v=s.menu.Find("Math Settings","MathPlayer");v.hidden=!(t.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return s.menu.Post(r)}else{if(!l.loadingMathMenu){l.loadingMathMenu=true;var x={pageX:r.pageX,pageY:r.pageY,clientX:r.clientX,clientY:r.clientY};g.Queue(l.Require("[MathJax]/extensions/MathMenu.js"),function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}},["ContextMenu",this,x,y,u])}return m.False(r)}},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==m.RIGHTBUTTON){return}}else{if(!s[m.MENUKEY]||s.button!==m.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(u.isMathJax!=t.isMathJax||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return m.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(u.isMathJax!=t.isMathJax||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return m.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return m.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,src:o.button.src,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var q=new Image();q.src=o.button.src}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay);a.last=q;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(q){if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;q.preventDefault();return m.Handler((q.touches[0]||q.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;return m.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};if(d.Browser.isMobile){var n=o.styles[".MathJax_Hover_Arrow"];n.width="25px";n.height="18px";o.button.x=-6}d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){m.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.OutputJax,MathJax.InputJax);
-
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Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(n){if(h.onresize){h.onresize(n)}var l=0,q=0,o,p=document.getElementById("MathJax_ZoomFrame"),m=document.getElementById("MathJax_ZoomOverlay");o=p;while(o.offsetParent){l+=o.offsetLeft;o=o.offsetParent}if(h.operaPositionBug){p.style.border="1px solid"}o=p;while(o.offsetParent){q+=o.offsetTop;o=o.offsetParent}if(h.operaPositionBug){p.style.border=""}m.style.left=(-l)+"px";m.style.top=(-q)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return{x:l,y:q}},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.nextSibling.jaxID];var l=o.getJaxFromMath(p.nextSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
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a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;u<t;u++){this.items[u].Create(s)}if(a.isMobile){g.addElement(s,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:o.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;s.style.width=(s.offsetWidth+2)+"px";var A=r.pageX,w=r.pageY;if(!A&&!w){A=r.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;w=r.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+s.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s<q;s++){if(this.items[s].name===r){if(t.length){if(!this.items[s].menu){return null}return this.items[s].menu.Find.apply(this.items[s].menu,t)}return this.items[s]}}return null},IndexOf:function(r){for(var s=0,q=this.items.length;s<q;s++){if(this.items[s].name===r){return s}}return null}},{config:o,div:null,Close:function(q){return a.Event(q,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(q){return a.Event(q,this,"Remove")},Mouseover:function(q){return a.Event(q,this,"Mouseover")},Mouseout:function(q){return a.Event(q,this,"Mouseout")},Mousedown:function(q){return a.Event(q,this,"Mousedown")},Mouseup:function(q){return a.Event(q,this,"Mouseup")},Touchstart:function(q){return a.Event(q,this,"Touchstart")},Touchend:function(q){return a.Event(q,this,"Touchend")},Event:function(s,u,q,t){if(a.skipMouseover&&q==="Mouseover"&&!t){return h(s)}if(a.skipUp){if(q.match(/Mouseup|Touchend/)){delete a.skipUp;return h(s)}if(q==="Touchstart"||(q==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!s){s=window.event}var r=u.menuItem;if(r&&r[q]){return r[q](s,u)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(r){var s=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:r,onmousedown:this.Remove}]]);var q=s.firstChild;if(r.msieBackgroundBug){q.style.backgroundColor="white";q.style.filter="alpha(opacity=0)"}if(r.msieFixedPositionBug){s.width=s.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{q.style.position="fixed"}return s},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var q=document.getElementById("MathJax_MenuFrame");if(q){q=q.firstChild;q.style.width=q.style.height="1px";q.style.width=document.body.scrollWidth+"px";q.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var q=new Image();q.src=o.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(r){if(!this.hidden){var q={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){q.className+=" MathJax_MenuDisabled"}g.addElement(r,"div",q,this.Label(q,r))}},Mouseover:function(u,w){if(!this.disabled){this.Activate(w)}if(!this.menu||!this.menu.posted){var v=document.getElementById("MathJax_MenuFrame").childNodes,r=w.parentNode.childNodes;for(var s=0,q=r.length;s<q;s++){var t=r[s].menuItem;if(t&&t.menu&&t.menu.posted){t.Deactivate(r[s])}}q=v.length-1;while(q>=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" 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q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r<q;r++){var s=v[r].menuItem;if(s&&s.variable===this.variable){v[r].firstChild.style.display="none"}}u.firstChild.display="";o.settings[this.variable]=this.value;a.cookie[this.variable]=o.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(t,u);if(this.action&&!this.disabled){this.action.call(a,this)}return h(t)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(r,q,s){this.name=r;this.variable=q;this.With(s)},Label:function(r,s){var q={className:"MathJax_MenuCheck"};if(!o.settings[this.variable]){q={style:{display:"none"}}}return[["span",q,[this.marker]]," 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o=this.GetBrackets(m),k=this.GetArgument(m);if(k==="\\frac"){k+="{"+this.GetArgument(k)+"}{"+this.GetArgument(k)+"}"}var l=d.Parse(k,this.stack.env).mml();if(!o){l=h.msqrt.apply(h,l.array())}else{l=h.mroot(l,this.parseRoot(o))}this.Push(l)},Root:function(l){var m=this.GetUpTo(l,"\\of");var k=this.ParseArg(l);this.Push(h.mroot(k,this.parseRoot(m)))},parseRoot:function(p){var l=this.stack.env,k=l.inRoot;l.inRoot=true;var o=d.Parse(p,l);p=o.mml();var m=o.stack.global;if(m.leftRoot||m.upRoot){p=h.mpadded(p);if(m.leftRoot){p.width=m.leftRoot}if(m.upRoot){p.voffset=m.upRoot;p.height=m.upRoot}}l.inRoot=k;return p},MoveRoot:function(k,m){if(!this.stack.env.inRoot){d.Error(k+" can appear only within a root")}if(this.stack.global[m]){d.Error("Multiple use of "+k)}var l=this.GetArgument(k);if(!l.match(/-?[0-9]+/)){d.Error("The argument to "+k+" must be an integer")}l=(l/15)+"em";if(l.substr(0,1)!=="-"){l="+"+l}this.stack.global[m]=l},Accent:function(m,k,p){var o=this.ParseArg(m);var 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m=b.position().With({name:k,move:"vertical"});if(l.charAt(0)==="-"){l=l.slice(1);k={raise:"\\lower",lower:"\\raise"}[k.substr(1)]}if(k==="\\lower"){m.dh="-"+l;m.dd="+"+l}else{m.dh="+"+l;m.dd="-"+l}this.Push(m)},MoveLeftRight:function(k){var n=this.GetDimen(k);var m=(n.charAt(0)==="-"?n.slice(1):"-"+n);if(k==="\\moveleft"){var l=n;n=m;m=l}this.Push(b.position().With({name:k,move:"horizontal",left:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:m,mathsize:h.SIZE.NORMAL})}))},Hskip:function(k){this.Push(h.mspace().With({width:this.GetDimen(k),mathsize:h.SIZE.NORMAL}))},Rule:function(m,o){var k=this.GetDimen(m),n=this.GetDimen(m),q=this.GetDimen(m);var l,p={width:k,height:n,depth:q};if(o!=="blank"){if(parseFloat(k)&&parseFloat(n)+parseFloat(q)){p.mathbackground=(this.stack.env.color||"black")}l=h.mpadded(h.mrow()).With(p)}else{l=h.mspace().With(p)}this.Push(l)},MakeBig:function(k,n,l){l*=f.p_height;l=String(l).replace(/(\.\d\d\d).+/,"$1")+"em";var 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){l+=".js"}if(!i.loaded[i.fileURL(l)]){if(k!=null){delete f[m||"macros"][k.replace(/^\\/,"")]}c.RestartAfter(i.Require(l))}},Macro:function(m,p,o,q){if(o){var l=[];if(q!=null){var k=this.GetBrackets(m);l.push(k==null?q:k)}for(var n=l.length;n<o;n++){l.push(this.GetArgument(m))}p=this.SubstituteArgs(l,p)}this.string=this.AddArgs(p,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?")}},Matrix:function(l,n,s,p,r,m,k,t){var q=this.GetNext();if(q===""){d.Error("Missing argument for "+l)}if(q==="{"){this.i++}else{this.string=q+"}"+this.string.slice(this.i+1);this.i=0}var o=b.array().With({requireClose:true,arraydef:{rowspacing:(m||"4pt"),columnspacing:(r||"1em")}});if(t){o.isCases=true}if(n||s){o.open=n;o.close=s}if(k==="D"){o.arraydef.displaystyle=true}if(p!=null){o.arraydef.columnalign=p}this.Push(o)},Entry:function(n){this.Push(b.cell().With({isEntry:true,name:n}));if(this.stack.Top().isCases){var l=this.string;var q=0,o=this.i,k=l.length;while(o<k){var r=l.charAt(o);if(r==="{"){q++;o++}else{if(r==="}"){if(q===0){k=0}else{q--;o++}}else{if(r==="&"&&q===0){d.Error("Extra alignment tab in \\cases text")}else{if(r==="\\"){if(l.substr(o).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){k=0}else{o+=2}}else{o++}}}}}var p=l.substr(this.i,o-this.i);if(!p.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(p));this.i=o}}},Cr:function(k){this.Push(b.cell().With({isCR:true,name:k}))},CrLaTeX:function(k){var o=this.GetBrackets(k,"").replace(/ /g,"");if(o&&!o.match(/^(((\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error("Bracket argument to "+k+" must be 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l=this.GetBrackets("\\begin{"+k.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),l)},setArrayAlign:function(l,k){k=this.trimSpaces(k||"");if(k==="t"){l.arraydef.align="baseline 1"}else{if(k==="b"){l.arraydef.align="baseline -1"}else{if(k==="c"){l.arraydef.align="center"}else{if(k){l.arraydef.align=k}}}}return l},convertDelimiter:function(k){if(k){k=f.delimiter[k]}if(k==null){return null}if(k instanceof Array){k=k[0]}if(k.length===4){k=String.fromCharCode(parseInt(k,16))}return k},trimSpaces:function(k){if(typeof(k)!="string"){return k}return k.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var k=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(k){this.i+=k[1].length;return k[1]}else{this.i++;return" "}},GetArgument:function(l,m){switch(this.GetNext()){case"":if(!m){d.Error("Missing argument for 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l=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(l=="\\"){l+=this.GetCS(k)}if(f.delimiter[l]!=null){return this.convertDelimiter(l)}}d.Error("Missing or unrecognized delimiter for "+k)},GetDimen:function(l){var m;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){m=this.GetArgument(l);if(m.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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-MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"2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c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){b["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(b["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var 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.Register.StartupHook("SVG Jax Ready",function(){var b=MathJax.OutputJax.SVG;var a=b.FONTDATA.VARIANT;a["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}}});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
-
-(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.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","float":"none ! 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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},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(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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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 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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")});
-
-MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js");
diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js
index 2ba02a754..ed6e5dce0 100644
--- a/unpacked/MathJax.js
+++ b/unpacked/MathJax.js
@@ -2382,7 +2382,7 @@ MathJax.Hub.Startup = {
       MathJax.HTML.setScriptBug = !browser.isIE9 || document.documentMode < 9;
       var MathPlayer = false;
       try {new ActiveXObject("MathPlayer.Factory.1"); MathPlayer = true} catch(err) {}
-      if (MathPlayer) {
+      if (MathPlayer && !STARTUP.params.NoMathPlayer) {
         var mathplayer = document.createElement("object");
         mathplayer.id = "mathplayer"; mathplayer.classid = "clsid:32F66A20-7614-11D4-BD11-00104BD3F987";
         document.getElementsByTagName("head")[0].appendChild(mathplayer);

From 301c7d1f2e314e0cd7585bb308866374e34df34e Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Sun, 12 Feb 2012 20:08:53 -0500
Subject: [PATCH 02/10] Actually delete the previews rather than just hide them
 (some screen readers don't properly handle them)

---
 MathJax.js                           |  2 +-
 config/AM_HTMLorMML-full.js          |  2 +-
 config/Accessible-full.js            |  2 +-
 config/MML_HTMLorMML-full.js         |  2 +-
 config/TeX-AMS-MML_HTMLorMML-full.js |  2 +-
 config/TeX-AMS-MML_SVG-full.js       |  2 +-
 config/TeX-AMS_HTML-full.js          | 53 ++++++++++++++++++++++++++--
 config/TeX-MML-AM_HTMLorMML-full.js  |  2 +-
 jax/output/HTML-CSS/jax.js           |  2 +-
 jax/output/SVG/jax.js                |  2 +-
 unpacked/MathJax.js                  | 10 ++----
 unpacked/jax/output/HTML-CSS/jax.js  |  3 +-
 unpacked/jax/output/SVG/jax.js       |  3 +-
 13 files changed, 64 insertions(+), 23 deletions(-)

diff --git a/MathJax.js b/MathJax.js
index 49e3b8d27..62ca50345 100644
--- a/MathJax.js
+++ b/MathJax.js
@@ -26,5 +26,5 @@ if (!window.MathJax) {window.MathJax = {}}
 
 MathJax.isPacked = true;
 
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g.callee)){h=new g.callee(f)}return h.Init.apply(h,g)||h},Augment:function(g,h){var i;if(g!=null){for(i in g){if(g.hasOwnProperty(i)){this.protoFunction(i,g[i])}}if(g.toString!==this.prototype.toString&&g.toString!=={}.toString){this.protoFunction("toString",g.toString)}}if(h!=null){for(i in h){if(h.hasOwnProperty(i)){this[i]=h[i]}}}return this},protoFunction:function(h,g){this.prototype[h]=g;if(typeof g==="function"){g.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(g){return g.callee.SUPER},can:function(g){return typeof(this[g])==="function"},has:function(g){return typeof(this[g])!=="undefined"},isa:function(g){return(g instanceof Object)&&(this instanceof g)}},can:function(g){return this.prototype.can.call(this,g)},has:function(g){return this.prototype.has.call(this,g)},isa:function(h){var g=this;while(g){if(g===h){return true}else{g=g.SUPER}}return false},SimpleSUPER:c({constructor:function(g){return this.SimpleSUPER.define(g)},define:function(g){var i={};if(g!=null){for(var h in g){if(g.hasOwnProperty(h)){i[h]=this.wrap(h,g[h])}}if(g.toString!==this.prototype.toString&&g.toString!=={}.toString){i.toString=this.wrap("toString",g.toString)}}return i},wrap:function(i,h){if(typeof(h)==="function"&&h.toString().match(/\.\s*SUPER\s*\(/)){var g=new Function(this.wrapper);g.label=i;g.original=h;h=g;g.toString=this.stringify}return h},wrapper:function(){var h=arguments.callee;this.SUPER=h.SUPER[h.label];try{var g=h.original.apply(this,arguments)}catch(i){delete this.SUPER;throw i}delete this.SUPER;return g}.toString().replace(/^\s*function \(\)\s*\{\s*/i,"").replace(/\s*\}\s*$/i,""),toString:function(){return this.original.toString.apply(this.original,arguments)}})})})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var CALLBACK=function(data){var cb=new Function("return arguments.callee.execute.apply(arguments.callee,arguments)");for(var id in 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result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(args instanceof Array&&args.length===1){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return 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h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=b.HTML.getScript(i);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}return h},Detach:function(){var h=this.SourceElement();if(!h){return}try{delete h.MathJax}catch(i){h.MathJax=null}if(this.newID){h.id=""}},Clone:function(h){var i;for(i in this){if(!this.hasOwnProperty(i)){continue}if(typeof(h[i])==="undefined"&&i!=="newID"){delete this[i]}}for(i in h){if(!h.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{id:"ElementJax",version:"2.0",directory:g.directory+"/element",extensionDir:g.extensionDir,ID:0,STATE:{PENDING:1,PROCESSED:2,UPDATE:3,OUTPUT:4},GetID:function(){this.ID++;return"MathJax-Element-"+this.ID},Subclass:function(){var h=g.Subclass.apply(this,arguments);h.loadComplete=this.prototype.loadComplete;return h}});b.ElementJax.prototype.STATE=b.ElementJax.STATE;b.OutputJax.Error={id:"Error",version:"2.0",config:{},ContextMenu:function(){return b.Extension.MathEvents.Event.ContextMenu.apply(b.Extension.MathEvents.Event,arguments)},Mousedown:function(){return b.Extension.MathEvents.Event.AltContextMenu.apply(b.Extension.MathEvents.Event,arguments)},getJaxFromMath:function(){return{inputJax:"Error",outputJax:"Error",originalText:"Math Processing Error"}}};b.InputJax.Error={id:"Error",version:"2.0",config:{},sourceMenuTitle:"Error Message"}})("MathJax");(function(l){var f=window[l];if(!f){f=window[l]={}}var c=f.Hub;var q=c.Startup;var u=c.config;var e=document.getElementsByTagName("head")[0];if(!e){e=document.childNodes[0]}var b=(document.documentElement||document).getElementsByTagName("script");var d=new RegExp("(^|/)"+l+"\\.js(\\?.*)?$");for(var o=b.length-1;o>=0;o--){if(b[o].src.match(d)){q.script=b[o].innerHTML;if(RegExp.$2){var r=RegExp.$2.substr(1).split(/\&/);for(var 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i(c.Browser)}return null}};var g=navigator.userAgent.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");c.Browser=c.Insert(c.Insert(new String("Unknown"),{version:"0.0"}),a);for(var t in a){if(a.hasOwnProperty(t)){if(a[t]&&t.substr(0,2)==="is"){t=t.slice(2);if(t==="Mac"||t==="PC"){continue}c.Browser=c.Insert(new String(t),a);var p=new RegExp(".*(Version)/((?:\\d+\\.)+\\d+)|.*("+t+")"+(t=="MSIE"?" 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diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js
index c370c4b99..d39dacc0e 100644
--- a/config/AM_HTMLorMML-full.js
+++ b/config/AM_HTMLorMML-full.js
@@ -57,7 +57,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var
 
 (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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var 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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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";p.preview.style.visibility="hidden";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;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/Accessible-full.js b/config/Accessible-full.js
index 3cae924db..1021f2bf3 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -90,7 +90,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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 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false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(l){this.SUPER(arguments).toNativeMML.call(this,l);l.lastChild.setAttribute("xmlns",j.MMLnamespace)}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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 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-(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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";p.preview.style.visibility="hidden";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},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(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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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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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 7eefd54b2..60d579f4e 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 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false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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 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this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.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","float":"none ! 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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},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(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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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 570e561dc..64cd4fede 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:"2.0"};MathJax.Hub.Register.Startup
 
 (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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var 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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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(l){this.SUPER(arguments).toNativeMML.call(this,l);l.lastChild.setAttribute("xmlns",j.MMLnamespace)}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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";p.preview.style.visibility="hidden";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js
index aa88e91b7..884f169dc 100644
--- a/config/TeX-AMS-MML_SVG-full.js
+++ b/config/TeX-AMS-MML_SVG-full.js
@@ -66,6 +66,6 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
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i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var k=n.childX,q=n.childY;n.x+=k;n.y+=q;n.h-=q;n.d+=q;n.H-=q;n.D+=q;n.w-=k;n.r-=k;n.l+=k;n.removeable=false}}if(Math.abs(n.x)<1&&Math.abs(n.y)<1){n.remove=n.removeable}else{if(n.element.nodeName==="g"){if(!n.element.firstChild){n.remove=n.removeable}else{n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}}else{if(n.element.nodeName==="line"||n.element.nodeName==="polygon"||n.element.nodeName==="path"||n.element.nodeName==="a"){n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}else{n.element.setAttribute("x",Math.floor(n.x/n.scale));n.element.setAttribute("y",Math.floor(n.y/n.scale))}}}if(n.remove){this.n+=n.n;while(n.element.firstChild){if(o&&this.element.firstChild){this.element.insertBefore(n.element.firstChild,this.element.firstChild)}else{this.element.appendChild(n.element.firstChild)}}}else{if(o){this.element.insertBefore(n.element,this.element.firstChild)}else{this.element.appendChild(n.element)}}delete 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o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return 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n=l.element.firstChild;while(n.firstChild){k.appendChild(n.firstChild)}n.appendChild(k)}else{if(l.removeable&&l.element.nodeName==="g"){while(l.element.firstChild){k.appendChild(l.element.firstChild)}}else{k.appendChild(l.element)}l.element=k}l.removeable=false}if(a.config.addMMLclasses){l.removeable=false;l.element.setAttribute("className","mjx-svg-"+this.type)}var m=this.Get("style");if(m){l.element.style.cssText=m;if(l.element.style.fontSize){l.element.style.fontSize=""}l.element.style.border=l.element.style.padding="";if(l.removeable){l.removeable=l.element.style.cssText===""}}},SVGgetStyles:function(){var l=this.Get("style");if(l){var k=e.Element("span");k.style.cssText=l;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var 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l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toSVG.call(this)}var E=this.SVG();this.SVGhandleSpace(E);var M=E.scale=this.SVGgetScale();var p=[],K=[],u,J,G,n=-a.BIGDIMEN,I=n;for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){if(J==this.base){p[J]=this.SVGdataStretched(J,F,C);K[J]=(C!=null||F==null)&&this.data[J].SVGcanStretch("Horizontal")}else{p[J]=this.data[J].toSVG();K[J]=this.data[J].SVGcanStretch("Horizontal")}if(p[J].w>I){I=p[J].w}if(!K[J]&&I>n){n=I}}}if(C==null&&F!=null){n=F}else{if(n==-a.BIGDIMEN){n=I}}for(J=I=0,G=this.data.length;J<G;J++){if(this.data[J]){if(K[J]){p[J]=this.data[J].SVGstretchH(n)}if(p[J].w>I){I=p[J].w}}}var B=a.TeX.rule_thickness;var o=p[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,scale:M};var 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m=B.Add(this.SVGdataStretched(this.base,G,z));var l=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var I=a.TeX.x_height*K,y=a.TeX.scriptspace*K;var k,n;if(this.SVGnotEmpty(this.data[this.sup])){k=this.data[this.sup].toSVG();k.w+=y;k.r=Math.max(k.w,k.r)}if(this.SVGnotEmpty(this.data[this.sub])){n=this.data[this.sub].toSVG();n.w+=y;n.r=Math.max(n.w,n.r)}var C=a.TeX.sup_drop*l,A=a.TeX.sub_drop*l;var w=m.h-C,o=m.d+A,J=0,F;if(m.ic){m.w-=m.ic;J=1.3*m.ic+0.05}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.scale===1&&!m.stretched&&!this.data[this.base].Get("largeop")){w=o=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:a.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:a.length2em(H.superscriptshift,E));if(!k){if(n){o=Math.max(o,a.TeX.sub1*K,n.h-(4/5)*I,H.subscriptshift);B.Add(n,m.w,-o)}}else{if(!n){values=this.getValues("displaystyle","texprimestyle");F=a.TeX[(values.displaystyle?"sup1":(values.texprimestyle?"sup3":"sup2"))];w=Math.max(w,F*K,k.d+(1/4)*I,H.superscriptshift);B.Add(k,m.w+J,w)}else{o=Math.max(o,a.TeX.sub2*K);var x=a.TeX.rule_thickness*K;if((w-k.d)-(n.h-o)<3*x){o=3*x-w+k.d+n.h;C=(4/5)*I-(w-k.d);if(C>0){w+=C;o-=C}}B.Add(k,m.w+J,Math.max(w,H.superscriptshift));B.Add(n,m.w,-Math.max(o,H.subscriptshift))}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B}});g.mmultiscripts.Augment({toSVG:g.mbase.SVGautoload});g.mtable.Augment({toSVG:g.mbase.SVGautoload});g["annotation-xml"].Augment({toSVG:g.mbase.SVGautoload});g.math.Augment({SVG:i.Subclass({type:"svg",removeable:false}),toSVG:function(t,m){if(this.data[0]){this.SVGgetStyles();g.mbase.prototype.displayAlign=c.config.displayAlign;g.mbase.prototype.displayIndent=c.config.displayIndent;var q=i.G({stroke:"black",fill:"black","stroke-thickness":0,transform:"matrix(1 0 0 -1 0 0)"}).With({removeable:false});q.Add(this.data[0].toSVG(),0,0,true);q.Clean();this.SVGhandleColor(q);var s=this.SVG();s.element.setAttribute("xmlns:xlink",j);s.Add(q);s.Clean();this.SVGsaveData(s);var p=Math.max(-s.l,0),k=Math.max(s.r-s.w,0);var n=s.element.style;n.width=a.Ex(p+s.w+k);n.height=a.Ex(s.H+s.D);n.verticalAlign=a.Ex(-s.D-2*a.em);n.marginLeft=a.Ex(-p);n.marginRight=a.Ex(-k);s.element.setAttribute("viewBox",(-p)+" "+(-s.H)+" "+(p+s.w+k)+" "+(s.H+s.D));s.element.style.margin="1px 0px";if(s.H>s.h||s.D>s.d){var o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===g.INDENTALIGN.AUTO){u.indentalign=this.displayAlign}m.style.textAlign=u.indentalign;if(u.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift=this.displayIndent}if(u.indentshift&&u.indentalign!==g.INDENTALIGN.CENTER){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return k}});c.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(k,l){var m=(typeof(k)==="string"?document.createElement("svg:"+k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
 
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG-full.js");
diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
index 569869541..0b287c775 100644
--- a/config/TeX-AMS_HTML-full.js
+++ b/config/TeX-AMS_HTML-full.js
@@ -1,7 +1,7 @@
 /*
  *  /MathJax/config/TeX-AMS_HTML-full.js
  *  
- *  Copyright (c) 2010 Design Science, Inc.
+ *  Copyright (c) 2010-11 Design Science, Inc.
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
@@ -12,5 +12,54 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Config({extensions:["tex2jax.js","MathEvents.js","MathZoom.js","MathMenu.js","toMathML.js","TeX/noErrors.js","TeX/noUndefined.js","TeX/AMSmath.js","TeX/AMSsymbols.js"],jax:["input/TeX","output/HTML-CSS"]});MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js");
+MathJax.Ajax.Preloading(
+  "[MathJax]/jax/input/TeX/config.js",
+  "[MathJax]/jax/output/HTML-CSS/config.js",
+  "[MathJax]/extensions/tex2jax.js",
+  "[MathJax]/extensions/MathEvents.js",
+  "[MathJax]/extensions/MathZoom.js",
+  "[MathJax]/extensions/MathMenu.js",
+  "[MathJax]/jax/element/mml/jax.js",
+  "[MathJax]/extensions/toMathML.js",
+  "[MathJax]/extensions/TeX/noErrors.js",
+  "[MathJax]/extensions/TeX/noUndefined.js",
+  "[MathJax]/jax/input/TeX/jax.js",
+  "[MathJax]/extensions/TeX/AMSmath.js",
+  "[MathJax]/extensions/TeX/AMSsymbols.js",
+  "[MathJax]/jax/output/HTML-CSS/jax.js",
+  "[MathJax]/jax/output/HTML-CSS/autoload/mtable.js"
+);
 
+MathJax.Hub.Config({"v1.0-compatible":false});
+
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.0",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.0",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+
+MathJax.Extension.tex2jax={version:"2.0",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");this.ignoreClass=new RegExp("(^| )("+b.ignoreClass+")( |$)");this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b;if(this.config.preview==="TeX"){b=[this.filterPreview(a)]}else{if(this.config.preview instanceof Array){b=this.config.preview}}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+
+(function(d,h,l,g,b,j){var p="2.0";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var m=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(q){return m.Handler(q,"Mousedown",this)},Mouseup:function(q){return m.Handler(q,"Mouseup",this)},Mousemove:function(q){return m.Handler(q,"Mousemove",this)},Mouseover:function(q){return m.Handler(q,"Mouseover",this)},Mouseout:function(q){return m.Handler(q,"Mouseout",this)},Click:function(q){return m.Handler(q,"Click",this)},DblClick:function(q){return m.Handler(q,"DblClick",this)},Menu:function(q){return m.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return m.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true;q.returnValue=false}return false},ContextMenu:function(r,y,u){var w=b[y.jaxID],t=w.getJaxFromMath(y);var z=(w.config.showMathMenu!=null?w:d).config.showMathMenu;if(!z||(k.context!=="MathJax"&&!u)){return}if(c.msieEventBug){r=window.event||r}m.ClearSelection();f.ClearHoverTimer();if(t.hover){if(t.hover.remove){clearTimeout(t.hover.remove);delete t.hover.remove}t.hover.nofade=true}var s=MathJax.Menu;if(s){s.jax=t;var q=s.menu.Find("Show Math As").menu;q.items[1].name=(j[t.inputJax].sourceMenuTitle||"Original Form");q.items[0].hidden=(t.inputJax==="Error");var v=s.menu.Find("Math Settings","MathPlayer");v.hidden=!(t.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return s.menu.Post(r)}else{if(!l.loadingMathMenu){l.loadingMathMenu=true;var x={pageX:r.pageX,pageY:r.pageY,clientX:r.clientX,clientY:r.clientY};g.Queue(l.Require("[MathJax]/extensions/MathMenu.js"),function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}},["ContextMenu",this,x,y,u])}return m.False(r)}},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==m.RIGHTBUTTON){return}}else{if(!s[m.MENUKEY]||s.button!==m.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(u.isMathJax!=t.isMathJax||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return m.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(u.isMathJax!=t.isMathJax||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return m.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return m.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,src:o.button.src,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var q=new Image();q.src=o.button.src}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay);a.last=q;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(q){if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;q.preventDefault();return m.Handler((q.touches[0]||q.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;return m.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};if(d.Browser.isMobile){var n=o.styles[".MathJax_Hover_Arrow"];n.width="25px";n.height="18px";o.button.x=-6}d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){m.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents 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+
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Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(n){if(h.onresize){h.onresize(n)}var l=0,q=0,o,p=document.getElementById("MathJax_ZoomFrame"),m=document.getElementById("MathJax_ZoomOverlay");o=p;while(o.offsetParent){l+=o.offsetLeft;o=o.offsetParent}if(h.operaPositionBug){p.style.border="1px solid"}o=p;while(o.offsetParent){q+=o.offsetTop;o=o.offsetParent}if(h.operaPositionBug){p.style.border=""}m.style.left=(-l)+"px";m.style.top=(-q)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return{x:l,y:q}},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.nextSibling.jaxID];var l=o.getJaxFromMath(p.nextSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+
+(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial 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o=this.GetBrackets(m),k=this.GetArgument(m);if(k==="\\frac"){k+="{"+this.GetArgument(k)+"}{"+this.GetArgument(k)+"}"}var l=d.Parse(k,this.stack.env).mml();if(!o){l=h.msqrt.apply(h,l.array())}else{l=h.mroot(l,this.parseRoot(o))}this.Push(l)},Root:function(l){var m=this.GetUpTo(l,"\\of");var k=this.ParseArg(l);this.Push(h.mroot(k,this.parseRoot(m)))},parseRoot:function(p){var l=this.stack.env,k=l.inRoot;l.inRoot=true;var o=d.Parse(p,l);p=o.mml();var m=o.stack.global;if(m.leftRoot||m.upRoot){p=h.mpadded(p);if(m.leftRoot){p.width=m.leftRoot}if(m.upRoot){p.voffset=m.upRoot;p.height=m.upRoot}}l.inRoot=k;return p},MoveRoot:function(k,m){if(!this.stack.env.inRoot){d.Error(k+" can appear only within a root")}if(this.stack.global[m]){d.Error("Multiple use of "+k)}var l=this.GetArgument(k);if(!l.match(/-?[0-9]+/)){d.Error("The argument to "+k+" must be an integer")}l=(l/15)+"em";if(l.substr(0,1)!=="-"){l="+"+l}this.stack.global[m]=l},Accent:function(m,k,p){var o=this.ParseArg(m);var 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m=b.position().With({name:k,move:"vertical"});if(l.charAt(0)==="-"){l=l.slice(1);k={raise:"\\lower",lower:"\\raise"}[k.substr(1)]}if(k==="\\lower"){m.dh="-"+l;m.dd="+"+l}else{m.dh="+"+l;m.dd="-"+l}this.Push(m)},MoveLeftRight:function(k){var n=this.GetDimen(k);var m=(n.charAt(0)==="-"?n.slice(1):"-"+n);if(k==="\\moveleft"){var l=n;n=m;m=l}this.Push(b.position().With({name:k,move:"horizontal",left:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:m,mathsize:h.SIZE.NORMAL})}))},Hskip:function(k){this.Push(h.mspace().With({width:this.GetDimen(k),mathsize:h.SIZE.NORMAL}))},Rule:function(m,o){var k=this.GetDimen(m),n=this.GetDimen(m),q=this.GetDimen(m);var l,p={width:k,height:n,depth:q};if(o!=="blank"){if(parseFloat(k)&&parseFloat(n)+parseFloat(q)){p.mathbackground=(this.stack.env.color||"black")}l=h.mpadded(h.mrow()).With(p)}else{l=h.mspace().With(p)}this.Push(l)},MakeBig:function(k,n,l){l*=f.p_height;l=String(l).replace(/(\.\d\d\d).+/,"$1")+"em";var 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){l+=".js"}if(!i.loaded[i.fileURL(l)]){if(k!=null){delete f[m||"macros"][k.replace(/^\\/,"")]}c.RestartAfter(i.Require(l))}},Macro:function(m,p,o,q){if(o){var l=[];if(q!=null){var k=this.GetBrackets(m);l.push(k==null?q:k)}for(var n=l.length;n<o;n++){l.push(this.GetArgument(m))}p=this.SubstituteArgs(l,p)}this.string=this.AddArgs(p,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?")}},Matrix:function(l,n,s,p,r,m,k,t){var q=this.GetNext();if(q===""){d.Error("Missing argument for "+l)}if(q==="{"){this.i++}else{this.string=q+"}"+this.string.slice(this.i+1);this.i=0}var o=b.array().With({requireClose:true,arraydef:{rowspacing:(m||"4pt"),columnspacing:(r||"1em")}});if(t){o.isCases=true}if(n||s){o.open=n;o.close=s}if(k==="D"){o.arraydef.displaystyle=true}if(p!=null){o.arraydef.columnalign=p}this.Push(o)},Entry:function(n){this.Push(b.cell().With({isEntry:true,name:n}));if(this.stack.Top().isCases){var l=this.string;var q=0,o=this.i,k=l.length;while(o<k){var r=l.charAt(o);if(r==="{"){q++;o++}else{if(r==="}"){if(q===0){k=0}else{q--;o++}}else{if(r==="&"&&q===0){d.Error("Extra alignment tab in \\cases text")}else{if(r==="\\"){if(l.substr(o).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){k=0}else{o+=2}}else{o++}}}}}var p=l.substr(this.i,o-this.i);if(!p.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(p));this.i=o}}},Cr:function(k){this.Push(b.cell().With({isCR:true,name:k}))},CrLaTeX:function(k){var o=this.GetBrackets(k,"").replace(/ /g,"");if(o&&!o.match(/^(((\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error("Bracket argument to "+k+" must be 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l=this.GetBrackets("\\begin{"+k.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),l)},setArrayAlign:function(l,k){k=this.trimSpaces(k||"");if(k==="t"){l.arraydef.align="baseline 1"}else{if(k==="b"){l.arraydef.align="baseline -1"}else{if(k==="c"){l.arraydef.align="center"}else{if(k){l.arraydef.align=k}}}}return l},convertDelimiter:function(k){if(k){k=f.delimiter[k]}if(k==null){return null}if(k instanceof Array){k=k[0]}if(k.length===4){k=String.fromCharCode(parseInt(k,16))}return k},trimSpaces:function(k){if(typeof(k)!="string"){return k}return k.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var k=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(k){this.i+=k[1].length;return k[1]}else{this.i++;return" "}},GetArgument:function(l,m){switch(this.GetNext()){case"":if(!m){d.Error("Missing argument for 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l=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(l=="\\"){l+=this.GetCS(k)}if(f.delimiter[l]!=null){return this.convertDelimiter(l)}}d.Error("Missing or unrecognized delimiter for "+k)},GetDimen:function(l){var m;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){m=this.GetArgument(l);if(m.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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+
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:["210F",{variantForm:true}],varnothing:["2205",{variantForm:true}],blacktriangle:"25B2",triangledown:"25BD",blacktriangledown:"25BC",square:"25A1",Box:"25A1",blacksquare:"25A0",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:["2216",{variantForm:true}],rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:"2323",shortmid:["2223",{variantForm:true}],smallfrown:"2322",shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C0",blacktriangleright:"25B6",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"];var b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){b["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(b["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var 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.Register.StartupHook("SVG Jax Ready",function(){var b=MathJax.OutputJax.SVG;var a=b.FONTDATA.VARIANT;a["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}}});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.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","float":"none ! 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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},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(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.0";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 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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")});
+
+MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js");
diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
index b89ef5d4e..36c56afac 100644
--- a/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/config/TeX-MML-AM_HTMLorMML-full.js
@@ -87,7 +87,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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 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this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.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","float":"none ! 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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},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(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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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 636d5340f..1b99a24d6 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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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";p.preview.style.visibility="hidden";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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l=o.remap[w];w=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{if(typeof(o.remap[w])==="string"){r=o.remap[w]+r.substr(A+1);A=0;x=r.length;w=r.charCodeAt(0)}else{w=o.remap[w];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}}if(this.FONTDATA.REMAP[w]&&!o.noRemap){w=this.FONTDATA.REMAP[w];if(w instanceof Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l<j;l++){if(q[p[l]]){o.FONTS.push(q[p[l]]);q[p[l]].name=p[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[r]){if(k[r].length===5){k[r][5]={}}if(d.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,r)}}return this.unknownChar(o,r)},unknownChar:function(j,l){var k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},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(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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x=this.getValues("mathcolor","color");if(this.mathbackground){x.mathbackground=this.mathbackground}if(this.background){x.background=this.background}if(this.style&&v.style.backgroundColor){x.mathbackground=v.style.backgroundColor;v.style.backgroundColor="transparent"}var s=(this.styles||{}).border,u=(this.styles||{}).padding;if(x.color&&!this.mathcolor){x.mathcolor=x.color}if(x.background&&!this.mathbackground){x.mathbackground=x.background}if(x.mathcolor){v.style.color=x.mathcolor}if((x.mathbackground&&x.mathbackground!==f.COLOR.TRANSPARENT)||s||u){var z=v.bbox,y=(z.exact?0:1/d.em),t=0,r=0,l=v.style.paddingLeft,p=v.style.paddingRight;if(this.isToken){t=z.lw;r=z.rw-z.w}if(l!==""){t+=parseFloat(l)*(v.scale||1)}if(p!==""){r-=parseFloat(p)*(v.scale||1)}var k=(d.PaddingWidthBug||z.keepPadding||z.exactW?0:r-t);var n=Math.max(0,d.getW(v)+k);var 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j=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(j){j.parentNode.removeChild(j)}},HTMLhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var l=this.getValues("scriptlevel","lspace","rspace");if(l.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var k=this.HTMLgetMu(n);l.lspace=Math.max(0,d.length2em(l.lspace,k));l.rspace=Math.max(0,d.length2em(l.rspace,k));var j=this,m=this.Parent();while(m&&m.isEmbellished()&&m.Core()===j){j=m;m=m.Parent();n=j.HTMLspanElement()}if(l.lspace){n.style.paddingLeft=d.Em(l.lspace)}if(l.rspace){n.style.paddingRight=d.Em(l.rspace)}}}else{var o=this.texSpacing();if(o!==""){o=d.length2em(o,this.HTMLgetScale())/(n.scale||1);if(n.style.paddingLeft){o+=parseFloat(n.style.paddingLeft)}n.style.paddingLeft=d.Em(o)}}},HTMLgetScale:function(){var l=1,j=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return j.CoreMO().data.join("")}while(j.isa(f.mrow)&&j.data.length===1&&j.data[0]){j=j.data[0]}if(!j.isToken){return""}else{return j.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(k,j){k=k.replace(/-/g,"\u2212");if(j){k=k.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(k.length===1){k=j[k]||k}}return k},HTMLcanStretch:function(m){if(!this.Get("stretchy")){return false}var n=this.data.join("");if(n.length>1){return false}var k=this.CoreParent();if(k&&k.isa(f.munderover)&&this.CoreText(k.data[k.base]).length===1){var l=k.data[k.over],j=k.data[k.under];if(l&&this===l.CoreMO()&&k.Get("accent")){n=d.FONTDATA.REMAPACCENT[n]||n}else{if(j&&this===j.CoreMO()&&k.Get("accentunder")){n=d.FONTDATA.REMAPACCENTUNDER[n]||n}}}n=d.FONTDATA.DELIMITERS[n.charCodeAt(0)];return(n&&n.dir==m.substr(0,1))},HTMLstretchV:function(l,m,n){this.HTMLremoveColor();var q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var 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diff --git a/jax/output/SVG/jax.js b/jax/output/SVG/jax.js
index 426d2bad4..1395df3b2 100644
--- a/jax/output/SVG/jax.js
+++ b/jax/output/SVG/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
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i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var k=n.childX,q=n.childY;n.x+=k;n.y+=q;n.h-=q;n.d+=q;n.H-=q;n.D+=q;n.w-=k;n.r-=k;n.l+=k;n.removeable=false}}if(Math.abs(n.x)<1&&Math.abs(n.y)<1){n.remove=n.removeable}else{if(n.element.nodeName==="g"){if(!n.element.firstChild){n.remove=n.removeable}else{n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}}else{if(n.element.nodeName==="line"||n.element.nodeName==="polygon"||n.element.nodeName==="path"||n.element.nodeName==="a"){n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}else{n.element.setAttribute("x",Math.floor(n.x/n.scale));n.element.setAttribute("y",Math.floor(n.y/n.scale))}}}if(n.remove){this.n+=n.n;while(n.element.firstChild){if(o&&this.element.firstChild){this.element.insertBefore(n.element.firstChild,this.element.firstChild)}else{this.element.appendChild(n.element.firstChild)}}}else{if(o){this.element.insertBefore(n.element,this.element.firstChild)}else{this.element.appendChild(n.element)}}delete 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this.ic}this.Add(l,this.w,0,true)}delete this.svg}});i.RECT=i.Subclass({type:"rect",removeable:false,Init:function(l,n,k,m){if(m==null){m={stroke:"none"}}m.width=Math.floor(k);m.height=Math.floor(l+n);this.SUPER(arguments).Init.call(this,m);this.w=this.r=k;this.h=this.H=l+n;this.d=this.D=this.l=0;this.y=-n}});i.FRAME=i.Subclass({type:"rect",removeable:false,Init:function(n,q,k,m,p,l,o){if(o==null){o={}}o.fill="none";o["stroke-width"]=m.toFixed(2).replace(/\.?0+$/,"");o.width=Math.floor(k-m);o.height=Math.floor(n+q-m);o.transform="translate("+Math.floor(m/2)+","+Math.floor(-q+m/2)+")";if(p==="dashed"){o["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" 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o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGdataStretched:function(l,k,m){this.SVGdata={HW:k,D:m};if(m!=null){return this.data[l].SVGstretchV(k,m)}if(k!=null){return this.data[l].SVGstretchH(k)}return this.data[l].toSVG()},SVGsaveData:function(l){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=l.w,this.SVGdata.x=l.x;if(l.X!=null){this.SVGdata.X=l.X}if(this["class"]){l.removeable=false;a.Element(l.element,{"class":this["class"]})}if(this.id){l.removeable=false;a.Element(l.element,{id:this.id})}if(this.href){var k=a.Element("a");k.setAttributeNS(j,"href",this.href);a.addElement(k,"rect",{width:l.w,height:l.h+l.d,y:-l.d,fill:"none",stroke:"none","pointer-events":"all"});if(l.type==="svg"){var n=l.element.firstChild;while(n.firstChild){k.appendChild(n.firstChild)}n.appendChild(k)}else{if(l.removeable&&l.element.nodeName==="g"){while(l.element.firstChild){k.appendChild(l.element.firstChild)}}else{k.appendChild(l.element)}l.element=k}l.removeable=false}if(a.config.addMMLclasses){l.removeable=false;l.element.setAttribute("className","mjx-svg-"+this.type)}var m=this.Get("style");if(m){l.element.style.cssText=m;if(l.element.style.fontSize){l.element.style.fontSize=""}l.element.style.border=l.element.style.padding="";if(l.removeable){l.removeable=l.element.style.cssText===""}}},SVGgetStyles:function(){var l=this.Get("style");if(l){var k=e.Element("span");k.style.cssText=l;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var 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o){if(o.hasOwnProperty(k)){l[k]=o[k]}}l.x=0;l.y=0;o.element=a.Element("g");o.removeable=true;o.Add(l,t+q,0)}if(u){o.w+=u.right;o.h+=u.top;o.d+=u.bottom}if(s){o.w+=s.right;o.h+=s.top;o.d+=s.bottom}if(w.background!==g.COLOR.TRANSPARENT){if(o.element.nodeName!=="g"&&o.element.nodeName!=="svg"){var p=a.Element("g");p.appendChild(o.element);o.element=p;o.removable=true}o.Add(i.RECT(o.h,o.d,o.w,{fill:w.background}),0,0,false,true)}if(s){var v=5;var m={left:["V",o.h+o.d,-v,-o.d],right:["V",o.h+o.d,o.w-s.right+v,-o.d],top:["H",o.w,0,o.h-s.top+v],bottom:["H",o.w,0,-o.d-v]};for(k in m){if(m.hasOwnProperty(k)){if(s[k]){var r=m[k],n=i[r[0]+"LINE"];o.Add(n(r[1],s[k],s[k+"Style"],s[k+"Color"]),r[2],r[3])}}}}},SVGhandleVariant:function(k,m,l){return a.HandleVariant(k,m,l)},SVGgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var l=k.mathvariant;if(this.variantForm){l="-TeX-variant"}k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.styles){if(!k.style&&this.styles.fontStyle){k.style=this.styles.fontStyle}if(!k.weight&&this.styles.fontWeight){k.weight=this.styles.fontWeight}if(!k.family&&this.styles.fontFamily){k.family=this.styles.fontFamily}}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}l={forceFamily:true,font:{"font-family":k.family}};if(k.style){l.font["font-style"]=k.style}if(k.weight){l.font["font-weight"]=k.weight}return l}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}return a.FONTDATA.VARIANT[l]},SVGgetScale:function(){var l=1,k=this.getValues("mathsize","scriptlevel","fontsize");if((this.styles||{}).fontSize&&!k.fontsize){k.fontsize=this.styles.fontSize}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(l<k.scriptminsize){l=k.scriptminsize}}l*=a.length2em(k.mathsize)/1000;return l},SVGgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},SVGnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},SVGcanStretch:function(k){if(this.isEmbellished()){return this.Core().SVGcanStretch(k)}return false},SVGstretchV:function(k,l){return this.toSVG(k,l)},SVGstretchH:function(k){return this.toSVG(k)},SVGlineBreaks:function(){return false}},{SVGautoload:function(){var k=a.autoloadDir+"/"+this.type+".js";c.RestartAfter(h.Require(k))},SVGautoloadFile:function(k){var l=a.autoloadDir+"/"+k+".js";c.RestartAfter(h.Require(l))}});g.chars.Augment({toSVG:function(l,o,k,m){var n=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.entity.Augment({toSVG:function(k,l){return this.SVGhandleVariant(k,l,this.toString().replace(/[\u2061-\u2064]/g,""))}});g.mo.Augment({toSVG:function(){this.SVGgetStyles();var r=this.svg=this.SVG();this.SVGhandleSpace(r);if(this.data.length==0){r.Clean();this.SVGsaveData(r);return r}var n=this.SVGgetScale(),p=this.SVGgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){p=a.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var 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o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var 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l=1,k=this.getValues("mathsize","scriptlevel","fontsize");if((this.styles||{}).fontSize&&!k.fontsize){k.fontsize=this.styles.fontSize}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(l<k.scriptminsize){l=k.scriptminsize}}l*=a.length2em(k.mathsize)/1000;return l},SVGgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},SVGnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},SVGcanStretch:function(k){if(this.isEmbellished()){return this.Core().SVGcanStretch(k)}return false},SVGstretchV:function(k,l){return 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l=this.getValues("symmetric","maxsize","minsize");var o=a.TeX.axis_height,k=this.SVGgetMu(m),n;if(l.symmetric){n=2*Math.max(p-o,q+o)}else{n=p+q}l.maxsize=a.length2em(l.maxsize,k,m.h+m.d);l.minsize=a.length2em(l.minsize,k,m.h+m.d);n=Math.max(l.minsize,Math.min(l.maxsize,n));m=a.createDelimiter(this.data.join("").charCodeAt(0),n,m.scale);if(l.symmetric){n=(m.h+m.d)/2+o}else{n=(m.h+m.d)*p/(p+q)}m.y=n-m.h;this.SVGhandleSpace(m);this.SVGhandleColor(m);delete this.svg;this.SVGsaveData(m);return m},SVGstretchH:function(l){var n=this.svg||this.toSVG(),k=this.SVGgetMu(n);var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}m.maxsize=a.length2em(m.maxsize,k,n.w);m.minsize=a.length2em(m.minsize,k,n.w);l=Math.max(m.minsize,Math.min(m.maxsize,l));n=a.createDelimiter(this.data.join("").charCodeAt(0),l,n.scale,m.mathvariant);this.SVGhandleSpace(n);this.SVGhandleColor(n);delete this.svg;this.SVGsaveData(n);return n}});g.mtext.Augment({toSVG:function(){this.SVGgetStyles();var k,m,l=this.SVGgetScale();if(this.Parent().type==="merror"){k=this.SVG();this.SVGhandleSpace(k);m=i.G();m.Add(i.TEXT(0.9*l,this.data.join(""),{fill:"#C00"}));k.Add(i.RECT(m.h+100,m.d+100,m.w+200,{fill:"#FF8",stroke:"#C00","stroke-width":50}),0,0);k.Add(m,150,0);k.H+=150;k.D+=50;k.Clean();this.SVGsaveData(k);return k}else{if(a.config.mtextFontInherit){k=this.SVG();this.SVGhandleSpace(k);k.Add(i.TEXT(l,this.data.join("")));k.Clean();this.SVGhandleColor(k);this.SVGsaveData(k);return k}else{return this.SUPER(arguments).toSVG.call(this)}}}});g.ms.Augment({toSVG:g.mbase.SVGautoload});g.mglyph.Augment({toSVG:g.mbase.SVGautoload});g.mspace.Augment({toSVG:function(){this.SVGgetStyles();var m=this.getValues("height","depth","width");m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var l=this.SVG(),k=this.SVGgetMu(l);l.h=a.length2em(m.height,k)/l.scale;l.d=a.length2em(m.depth,k)/l.scale;l.w=l.r=a.length2em(m.width,k)/l.scale;if(l.w<0){l.x=l.w;l.w=l.r=0}l.l=0;l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.mphantom.Augment({toSVG:function(k,m){this.SVGgetStyles();var l=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(l);l.Add(this.SVGdataStretched(0,k,m));l.Clean();while(l.element.firstChild){l.element.removeChild(l.element.firstChild)}}this.SVGhandleColor(l);if(!l.element.firstChild){delete l.element}this.SVGsaveData(l);return l}});g.mpadded.Augment({toSVG:function(l,k){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var m=this.SVGdataStretched(0,l,k),u=this.SVGgetMu(o);var t=this.getValues("height","depth","width","lspace","voffset"),r=0,q=0;if(t.lspace){r=this.SVGlength2em(m,t.lspace,u)}if(t.voffset){q=this.SVGlength2em(m,t.voffset,u)}var n=m.h,p=m.d,s=m.w;o.Add(m,r,q);o.Clean();o.h=n;o.d=p;o.w=s;o.removeable=false;if(t.height!==""){o.h=this.SVGlength2em(o,t.height,u,"h",0)}if(t.depth!==""){o.d=this.SVGlength2em(o,t.depth,u,"d",0)}if(t.width!==""){o.w=this.SVGlength2em(o,t.width,u,"w",0)}if(o.h>o.H){o.H=o.h}if(o.d>o.D){o.D=o.d}}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlength2em:function(o,r,l,s,k){if(k==null){k=-a.BIGDIMEN}var p=String(r).match(/width|height|depth/);var q=(p?o[p[0].charAt(0)]:(s?o[s]:0));var n=a.length2em(r,l,q);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,o[s]+n)}else{return n}}});g.mrow.Augment({SVG:i.ROW,toSVG:function(){this.SVGgetStyles();var l=this.SVG();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){l.Check(this.data[n])}}l.Stretch();l.Clean();if(this.SVGlineBreaks(l)){l=this.SVGmultiline(l)}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&k.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(k){g.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(k){var l=this.data[this.core].SVGstretchH(k);this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGstretchV:function(l,m){var k=this.data[this.core].SVGstretchV(l,m);this.SVGhandleColor(k);this.SVGsaveData(k);return k}});g.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(k);var l=k.Add(this.data[0].toSVG());k.Clean();if(l.ic){k.ic=l.ic}this.SVGhandleColor(k)}this.SVGsaveData(k);return k},SVGstretchH:function(k){return(this.data[0]!=null?this.data[0].SVGstretchH(k):i.NULL())},SVGstretchV:function(k,l){return(this.data[0]!=null?this.data[0].SVGstretchV(k,l):i.NULL())}});g.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var w=this.SVG();this.SVGhandleSpace(w);var s=this.data[0].toSVG(),y=this.data[1].toSVG();var C=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var r=w.scale=this.SVGgetScale(),n=C.displaystyle;var x=a.TeX.axis_height*r;if(C.bevelled){var B=(n?400:150);var A=Math.max(s.h+s.d,y.h+y.d)+2*B;var F=a.createDelimiter(47,A);w.Add(s,0,(s.d-s.h)/2+x+B);w.Add(F,s.w-B/2,(F.d-F.h)/2+x);w.Add(y,s.w+F.w-B,(y.d-y.h)/2+x-B)}else{var o=Math.max(s.w,y.w);var E=a.thickness2em(C.linethickness,r),m,l,D,z;var k=a.TeX.min_rule_thickness/a.em*1000;if(n){D=a.TeX.num1;z=a.TeX.denom1}else{D=(E===0?a.TeX.num3:a.TeX.num2);z=a.TeX.denom2}D*=r;z*=r;if(E===0){m=Math.max((n?7:3)*a.TeX.rule_thickness,2*k);l=(D-s.d)-(y.h-z);if(l<m){D+=(m-l)/2;z+=(m-l)/2}w.w=o;E=0}else{m=Math.max((n?2:0)*k+E,E/2+1.5*k);l=(D-s.d)-(x+E/2);if(l<m){D+=m-l}l=(x-E/2)-(y.h-z);if(l<m){z+=m-l}w.Add(i.RECT(E/2,E/2,o+2*E),0,x)}w.Align(s,C.numalign,E,D);w.Align(y,C.denomalign,E,-z)}w.Clean();this.SVGhandleColor(w);this.SVGsaveData(w);return w},SVGcanStretch:function(k){return false},SVGhandleSpace:function(k){if(!this.texWithDelims){k.x=(this.useMMLspacing?0:a.length2em(this.texSpacing()||0))+120;k.X=120}}});g.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var r=this.SVG();this.SVGhandleSpace(r);var m=this.data[0].toSVG(),s,o;var n=this.SVGgetScale();var w=a.TeX.rule_thickness*n,l,k,v,u=0;if(this.Get("displaystyle")){l=a.TeX.x_height*n}else{l=w}k=Math.max(w+l/4,1000*a.TeX.min_root_space/a.em);v=m.h+m.d+k+w;o=a.createDelimiter(8730,v,n);if(o.h+o.d>v){k=((o.h+o.d)-(v-w))/2}s=i.RECT(w,0,m.w);v=m.h+k+w;u=this.SVGaddRoot(r,o,u,o.h+o.d-v,n);r.Add(o,u,v-o.h);r.Add(s,u+o.w,v-s.h);r.Add(m,u+o.w,0);r.Clean();r.h+=w;r.H+=w;this.SVGhandleColor(r);this.SVGsaveData(r);return r},SVGaddRoot:function(l,m,k,o,n){return k}});g.mroot.Augment({toSVG:g.msqrt.prototype.toSVG,SVGaddRoot:function(n,l,q,o,k){var s=(l.isMultiChar?0.55:0.65)*l.w;if(this.data[1]){var p=this.data[1].toSVG();p.x=0;var m=this.SVGrootHeight(l.h+l.d,k,p)-o;var r=Math.min(p.w,p.r);q=Math.max(r,s);n.Add(p,q-r,m)}else{s=q}return q-s},SVGrootHeight:function(m,l,k){return 0.45*(m-900*l)+600*l+Math.max(0,k.d-75)}});g.mfenced.Augment({SVG:i.ROW,toSVG:function(){this.SVGgetStyles();var l=this.SVG();this.SVGhandleSpace(l);if(this.data.open){l.Check(this.data.open)}if(this.data[0]!=null){l.Check(this.data[0])}for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){if(this.data["sep"+n]){l.Check(this.data["sep"+n])}l.Check(this.data[n])}}if(this.data.close){l.Check(this.data.close)}l.Stretch();l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.menclose.Augment({toSVG:g.mbase.SVGautoload});g.maction.Augment({toSVG:g.mbase.SVGautoload});g.semantics.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(k);k.Add(this.data[0].toSVG());k.Clean()}else{k.Clean()}this.SVGsaveData(k);return k},SVGstretchH:function(k){return(this.data[0]!=null?this.data[0].SVGstretchH(k):i.NULL())},SVGstretchV:function(k,l){return(this.data[0]!=null?this.data[0].SVGstretchV(k,l):i.NULL())}});g.munderover.Augment({toSVG:function(F,C){this.SVGgetStyles();var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toSVG.call(this)}var E=this.SVG();this.SVGhandleSpace(E);var M=E.scale=this.SVGgetScale();var p=[],K=[],u,J,G,n=-a.BIGDIMEN,I=n;for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){if(J==this.base){p[J]=this.SVGdataStretched(J,F,C);K[J]=(C!=null||F==null)&&this.data[J].SVGcanStretch("Horizontal")}else{p[J]=this.data[J].toSVG();K[J]=this.data[J].SVGcanStretch("Horizontal")}if(p[J].w>I){I=p[J].w}if(!K[J]&&I>n){n=I}}}if(C==null&&F!=null){n=F}else{if(n==-a.BIGDIMEN){n=I}}for(J=I=0,G=this.data.length;J<G;J++){if(this.data[J]){if(K[J]){p[J]=this.data[J].SVGstretchH(n)}if(p[J].w>I){I=p[J].w}}}var B=a.TeX.rule_thickness;var o=p[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,scale:M};var s,q,w,v,r,A,H,L=0;if(o.ic){L=1.3*o.ic+0.05}for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){u=p[J];r=a.TeX.big_op_spacing5*M;var z=(J!=this.base&&l[this.ACCENTS[J]]);if(z&&u.w<=1){u.x=-u.l;p[J]=i.G().With({removeable:false});p[J].Add(u);p[J].Clean();p[J].w=-u.l;u=p[J]}A={left:0,center:(I-u.w)/2,right:I-u.w}[l.align];s=A;q=0;if(J==this.over){if(z){H=B*M;r=0;if(o.skew){s+=o.skew}}else{w=a.TeX.big_op_spacing1*M;v=a.TeX.big_op_spacing3*M;H=Math.max(w,v-Math.max(0,u.d))}H=Math.max(H,1500/a.em);s+=L/2;q=o.h+u.d+H;u.h+=r;if(u.h>u.H){u.H=u.h}}else{if(J==this.under){if(z){H=3*B*M;r=0}else{w=a.TeX.big_op_spacing2*M;v=a.TeX.big_op_spacing4*M;H=Math.max(w,v-u.h)}H=Math.max(H,1500/a.em);s-=L/2;q=-(o.d+u.h+H);u.d+=r;if(u.d>u.D){u.D=u.d}}}E.Add(u,s,q)}}E.Clean();this.SVGhandleColor(E);this.SVGsaveData(E);return E}});g.msubsup.Augment({toSVG:function(G,z){this.SVGgetStyles();var B=this.SVG();this.SVGhandleSpace(B);var K=B.scale=this.SVGgetScale(),E=this.SVGgetMu(B);var m=B.Add(this.SVGdataStretched(this.base,G,z));var l=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var I=a.TeX.x_height*K,y=a.TeX.scriptspace*K;var k,n;if(this.SVGnotEmpty(this.data[this.sup])){k=this.data[this.sup].toSVG();k.w+=y;k.r=Math.max(k.w,k.r)}if(this.SVGnotEmpty(this.data[this.sub])){n=this.data[this.sub].toSVG();n.w+=y;n.r=Math.max(n.w,n.r)}var C=a.TeX.sup_drop*l,A=a.TeX.sub_drop*l;var w=m.h-C,o=m.d+A,J=0,F;if(m.ic){m.w-=m.ic;J=1.3*m.ic+0.05}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.scale===1&&!m.stretched&&!this.data[this.base].Get("largeop")){w=o=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:a.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:a.length2em(H.superscriptshift,E));if(!k){if(n){o=Math.max(o,a.TeX.sub1*K,n.h-(4/5)*I,H.subscriptshift);B.Add(n,m.w,-o)}}else{if(!n){values=this.getValues("displaystyle","texprimestyle");F=a.TeX[(values.displaystyle?"sup1":(values.texprimestyle?"sup3":"sup2"))];w=Math.max(w,F*K,k.d+(1/4)*I,H.superscriptshift);B.Add(k,m.w+J,w)}else{o=Math.max(o,a.TeX.sub2*K);var x=a.TeX.rule_thickness*K;if((w-k.d)-(n.h-o)<3*x){o=3*x-w+k.d+n.h;C=(4/5)*I-(w-k.d);if(C>0){w+=C;o-=C}}B.Add(k,m.w+J,Math.max(w,H.superscriptshift));B.Add(n,m.w,-Math.max(o,H.subscriptshift))}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B}});g.mmultiscripts.Augment({toSVG:g.mbase.SVGautoload});g.mtable.Augment({toSVG:g.mbase.SVGautoload});g["annotation-xml"].Augment({toSVG:g.mbase.SVGautoload});g.math.Augment({SVG:i.Subclass({type:"svg",removeable:false}),toSVG:function(t,m){if(this.data[0]){this.SVGgetStyles();g.mbase.prototype.displayAlign=c.config.displayAlign;g.mbase.prototype.displayIndent=c.config.displayIndent;var q=i.G({stroke:"black",fill:"black","stroke-thickness":0,transform:"matrix(1 0 0 -1 0 0)"}).With({removeable:false});q.Add(this.data[0].toSVG(),0,0,true);q.Clean();this.SVGhandleColor(q);var s=this.SVG();s.element.setAttribute("xmlns:xlink",j);s.Add(q);s.Clean();this.SVGsaveData(s);var p=Math.max(-s.l,0),k=Math.max(s.r-s.w,0);var n=s.element.style;n.width=a.Ex(p+s.w+k);n.height=a.Ex(s.H+s.D);n.verticalAlign=a.Ex(-s.D-2*a.em);n.marginLeft=a.Ex(-p);n.marginRight=a.Ex(-k);s.element.setAttribute("viewBox",(-p)+" "+(-s.H)+" "+(p+s.w+k)+" "+(s.H+s.D));s.element.style.margin="1px 0px";if(s.H>s.h||s.D>s.d){var o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===g.INDENTALIGN.AUTO){u.indentalign=this.displayAlign}m.style.textAlign=u.indentalign;if(u.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift=this.displayIndent}if(u.indentshift&&u.indentalign!==g.INDENTALIGN.CENTER){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return k}});c.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(k,l){var m=(typeof(k)==="string"?document.createElement("svg:"+k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
 
diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js
index ed6e5dce0..3f7d0ec87 100644
--- a/unpacked/MathJax.js
+++ b/unpacked/MathJax.js
@@ -1629,10 +1629,7 @@ MathJax.Hub = {
         //
         result = MathJax.OutputJax[jax.outputJax].Process(script,state);
         script.MathJax.state = STATE.PROCESSED; state.i++;
-        if (script.MathJax.preview) {
-          script.MathJax.preview.style.display = "none";
-          script.MathJax.preview.style.visibility = "hidden"; // hide from screen readers
-        }
+        if (script.MathJax.preview) {script.MathJax.preview.innerHTML = ""}
         //
         //  Signal that new math is available
         //
@@ -1684,10 +1681,7 @@ MathJax.Hub = {
       });
     }
     script.parentNode.insertBefore(error,script);
-    if (script.MathJax.preview) {
-      script.MathJax.preview.style.display = "none";
-      script.MathJax.preview.style.visibility = "hidden"; // hide from screen readers
-    }
+    if (script.MathJax.preview) {script.MathJax.preview.innerHTML = ""}
     this.lastError = err;
   },
   
diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js
index a7ec9f74a..f8bb3bbcd 100644
--- a/unpacked/jax/output/HTML-CSS/jax.js
+++ b/unpacked/jax/output/HTML-CSS/jax.js
@@ -609,8 +609,7 @@
           //  Remove the preview, if any
           //
           if (data.preview) {
-            data.preview.style.display = "none";
-            data.preview.style.visibility = "hidden"; // hide from screen readers
+            data.preview.innerHTML = "";
             script.MathJax.preview = data.preview;
             delete data.preview;
           }
diff --git a/unpacked/jax/output/SVG/jax.js b/unpacked/jax/output/SVG/jax.js
index 141d9e7df..9c1919810 100644
--- a/unpacked/jax/output/SVG/jax.js
+++ b/unpacked/jax/output/SVG/jax.js
@@ -329,8 +329,7 @@
           //  Remove the preview, if any
           //
           if (data.preview) {
-            data.preview.style.display = "none";
-            data.preview.style.visibility = "hidden"; // hide from screen readers
+            data.preview.innerHTML = "";
             script.MathJax.preview = data.preview;
             delete data.preview;
           }

From 7c58066b7e462f3635a12cd3ee46946fdf8d89ea Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Mon, 13 Feb 2012 11:57:37 -0500
Subject: [PATCH 03/10] Fix a problem with NativeMML output where
 require.push() could cause an error when used in the combined configuration
 files

---
 config/AM_HTMLorMML-full.js          | 2 +-
 config/Accessible-full.js            | 2 +-
 config/MML_HTMLorMML-full.js         | 2 +-
 config/TeX-AMS-MML_HTMLorMML-full.js | 2 +-
 config/TeX-MML-AM_HTMLorMML-full.js  | 2 +-
 jax/output/NativeMML/jax.js          | 2 +-
 unpacked/jax/output/NativeMML/jax.js | 1 +
 7 files changed, 7 insertions(+), 6 deletions(-)

diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js
index d39dacc0e..861f96506 100644
--- a/config/AM_HTMLorMML-full.js
+++ b/config/AM_HTMLorMML-full.js
@@ -55,7 +55,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var
 
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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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/Accessible-full.js b/config/Accessible-full.js
index 1021f2bf3..fd9d4e8b4 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -88,7 +88,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.ondblclick=g.DblClick}},postTranslate:function(l){if(this.forceReflow){var k=(document.styleSheets||[])[0]||{};k.disabled=true;k.disabled=false}},Remove:function(k){var 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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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
index 60d579f4e..2c217cd2d 100644
--- a/config/MML_HTMLorMML-full.js
+++ b/config/MML_HTMLorMML-full.js
@@ -55,7 +55,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.ondblclick=g.DblClick}},postTranslate:function(l){if(this.forceReflow){var k=(document.styleSheets||[])[0]||{};k.disabled=true;k.disabled=false}},Remove:function(k){var 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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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
index 64cd4fede..6c57b6e9b 100644
--- a/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -76,7 +76,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.ondblclick=g.DblClick}},postTranslate:function(l){if(this.forceReflow){var k=(document.styleSheets||[])[0]||{};k.disabled=true;k.disabled=false}},Remove:function(k){var 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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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
index 36c56afac..1aa6860ee 100644
--- a/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/config/TeX-MML-AM_HTMLorMML-full.js
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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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.family&&!j.hasVariant){if(!j.weight&&j.mathvariant.match(/bold/)){j.weight="bold"}if(!j.style&&j.mathvariant.match(/italic/)){j.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.family,style:j.style,weight:j.weight}}}if(j.weight==="bold"){k={normal:f.VARIANT.BOLD,italic:f.VARIANT.BOLDITALIC,fraktur:f.VARIANT.BOLDFRAKTUR,script:f.VARIANT.BOLDSCRIPT,"sans-serif":f.VARIANT.BOLDSANSSERIF,"sans-serif-italic":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.weight==="normal"){k={bold:f.VARIANT.normal,"bold-italic":f.VARIANT.ITALIC,"bold-fraktur":f.VARIANT.FRAKTUR,"bold-script":f.VARIANT.SCRIPT,"bold-sans-serif":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.SANSSERIFITALIC}[k]||k}}if(j.style==="italic"){k={normal:f.VARIANT.ITALIC,bold:f.VARIANT.BOLDITALIC,"sans-serif":f.VARIANT.SANSSERIFITALIC,"bold-sans-serif":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.style==="normal"){k={italic:f.VARIANT.NORMAL,"bold-italic":f.VARIANT.BOLD,"sans-serif-italic":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.BOLDSANSSERIF}[k]||k}}return 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/jax/output/NativeMML/jax.js b/jax/output/NativeMML/jax.js
index abb6641d9..de2922e2e 100644
--- a/jax/output/NativeMML/jax.js
+++ b/jax/output/NativeMML/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){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. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.ondblclick=g.DblClick}},postTranslate:function(l){if(this.forceReflow){var k=(document.styleSheets||[])[0]||{};k.disabled=true;k.disabled=false}},Remove:function(k){var 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false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(l){this.SUPER(arguments).toNativeMML.call(this,l);l.lastChild.setAttribute("xmlns",j.MMLnamespace)}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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);
 
diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js
index 1174320e0..83bea6a01 100644
--- a/unpacked/jax/output/NativeMML/jax.js
+++ b/unpacked/jax/output/NativeMML/jax.js
@@ -59,6 +59,7 @@
           "div.MathJax_MathContainer > span": {"text-align": align+"!important"}
         });
       }
+      if (!this.require) {this.require = []}
       this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");
     },
     Startup: function () {

From e96dd07e371cccd60ba72b08ec11455a9ed1c111 Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Tue, 14 Feb 2012 09:39:53 -0500
Subject: [PATCH 04/10] Fix SVG problems reported by Fred (error in mtd
 background colors and maction stretching embelished operators)

---
 config/TeX-AMS-MML_SVG-full.js              | 5 ++++-
 jax/output/SVG/autoload/maction.js          | 2 +-
 jax/output/SVG/autoload/mtable.js           | 2 +-
 unpacked/jax/output/SVG/autoload/maction.js | 4 ++--
 unpacked/jax/output/SVG/autoload/mtable.js  | 2 +-
 5 files changed, 9 insertions(+), 6 deletions(-)

diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js
index 884f169dc..7dd7d69c1 100644
--- a/config/TeX-AMS-MML_SVG-full.js
+++ b/config/TeX-AMS-MML_SVG-full.js
@@ -29,7 +29,8 @@ MathJax.Ajax.Preloading(
   "[MathJax]/extensions/TeX/AMSmath.js",
   "[MathJax]/extensions/TeX/AMSsymbols.js",
   "[MathJax]/jax/input/MathML/jax.js",
-  "[MathJax]/jax/output/SVG/jax.js"
+  "[MathJax]/jax/output/SVG/jax.js",
+  "[MathJax]/jax/output/SVG/autoload/mtable.js"
 );
 
 MathJax.Hub.Config({"v1.0-compatible":false});
@@ -68,4 +69,6 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (function(h,c,e,a){var g;var b="http://www.w3.org/2000/svg";var j="http://www.w3.org/1999/xlink";a.Augment({config:{styles:{".MathJax_SVG":{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_SVG_Display":{position:"relative",display:"block",width:"100%"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,Config:function(){var k=c.config.menuSettings;if(k.scale){this.config.scale=k.scale}this.SUPER(arguments).Config.apply(this,arguments);this.fontInUse=this.config.font;this.fontDir+="/"+this.config.font;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){EVENT=MathJax.Extension.MathEvents.Event;TOUCH=MathJax.Extension.MathEvents.Touch;HOVER=MathJax.Extension.MathEvents.Hover;this.ContextMenu=EVENT.ContextMenu;this.Mousedown=EVENT.AltContextMenu;this.Mouseover=HOVER.Mouseover;this.Mouseout=HOVER.Mouseout;this.Mousemove=HOVER.Mousemove;this.hiddenDiv=e.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=e.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var k=e.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.textSVG=this.Element("svg");d=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});f={};this.ExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_SVG_ExBox"}]]);this.linebreakSpan=e.Element("span",null,[["hr",{style:{width:"auto",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){document.body.appendChild(this.ExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.ExSpan.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.ExSpan)},preTranslate:function(o){var t=o.jax[this.id],u,r=t.length,z,s,A,n,y,l,x,q,k,w=false,v,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}s=z.previousSibling;if(s&&String(s.className).match(/^MathJax(_SVG)?(_Display)?$/)){s.parentNode.removeChild(s)}l=z.MathJax.elementJax;l.SVG={display:(l.root.Get("display")==="block")};A=n=e.Element("span",{style:{"font-size":this.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:EVENT.Menu,onmousedown:EVENT.Mousedown,onmouseover:EVENT.Mouseover,onmouseout:EVENT.Mouseout,onmousemove:EVENT.Mousemove,onclick:EVENT.Click,ondblclick:EVENT.DblClick});if(c.Browser.noContextMenu){A.ontouchstart=TOUCH.start;A.ontouchend=TOUCH.end}if(l.SVG.display){n=e.Element("div",{className:"MathJax_SVG_Display"});n.appendChild(A)}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_SVG_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.ExSpan.cloneNode(true),z);n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;x=y.firstChild.offsetHeight/60;v=n.previousSibling.firstChild.offsetWidth;if(w){k=v}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.SVG.isHidden=true;x=this.defaultEx;v=this.defaultWidth;if(w){k=this.defaultWidth}}l.SVG.ex=x;l.SVG.cwidth=v;l.SVG.em=q=x/a.TeX.x_height*1000;l.SVG.lineWidth=(B?this.length2em(p,1,k/q):1000000)}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}y=t[u].previousSibling;l=t[u].MathJax.elementJax;A=y.previousSibling;if(!l.SVG.isHidden){A=A.previousSibling}A.parentNode.removeChild(A);y.parentNode.removeChild(y)}o.SVGeqn=o.SVGlast=0;o.SVGchunk=this.config.EqnChunk;o.SVGdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.SVGdelay){p.SVGdelay=false;c.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.SVG.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.SVG.em;this.ex=k.SVG.ex;this.linebreakWidth=k.SVG.lineWidth*1000;this.cwidth=k.SVG.cwidth;this.mathDiv=q;m.appendChild(this.textSVG);this.initSVG(o,m);o.setTeXclass();try{o.toSVG(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}m.removeChild(this.textSVG);if(k.SVG.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_SVG_Processed";if(l.MathJax.preview){k.SVG.preview=l.MathJax.preview;delete l.MathJax.preview}p.SVGeqn++;if(p.SVGeqn>=p.SVGlast+p.SVGchunk){this.postTranslate(p);p.SVGchunk=Math.floor(p.SVGchunk*this.config.EqnChunkFactor);p.SVGdelay=true}}},postTranslate:function(q){var l=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.SVGlast,k=q.SVGeqn;o<k;o++){var n=l[o];if(n){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var p=n.MathJax.elementJax.SVG;if(p.preview){p.preview.innerHTML="";n.MathJax.preview=p.preview;delete p.preview}}}q.SVGlast=q.SVGeqn},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_SVG_Display"){k=k.parentNode}return c.getJaxFor(k.nextSibling)},getHoverSpan:function(k,l){l.style.position="relative";return l.firstChild},getHoverBBox:function(k,l,m){var n=EVENT.getBBox(l.parentNode);n.h+=2;n.d-=2;return n},Zoom:function(l,s,q,k,p){s.className="MathJax_SVG";var u=s.appendChild(this.ExSpan.cloneNode(true));var o=u.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o/a.TeX.x_height*1000;this.cwidth=0.85*a.defaultWidth;u.parentNode.removeChild(u);this.idPostfix="-zoom";l.root.toSVG(s,s);this.idPostfix="";s.style.position=q.style.position="absolute";var r=s.offsetWidth,n=s.offsetHeight,t=q.offsetHeight,m=q.offsetWidth;s.style.position=q.style.position="";return{Y:-EVENT.getBBox(s).h,mW:m,mH:t,zW:r,zH:n}},initSVG:function(l,k){},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.SVG.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.SVG},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(k){k=k/this.TeX.x_height;if(Math.abs(k)<0.0006){return"0ex"}return k.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,l,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===g.SIZE.NORMAL){return 1000}if(q===g.SIZE.BIG){return 2000}if(q===g.SIZE.SMALL){return 710}if(q==="infinity"){return a.BIGDIMEN}if(q.match(/mathspace$/)){return 1000*a.MATHSPACE[q]}var n=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1")*1000,p=n[2];if(o==null){o=1000}if(l==null){l=1}if(p==="em"){return k}if(p==="ex"){return k*a.TeX.x_height/1000}if(p==="%"){return k/100*o/1000}if(p==="px"){return k/a.em}if(p==="pt"){return k/10}if(p==="pc"){return k*1.2}if(p==="in"){return k*this.pxPerInch/a.em}if(p==="cm"){return k*this.pxPerInch/a.em/2.54}if(p==="mm"){return k*this.pxPerInch/a.em/25.4}if(p==="mu"){return k/18*l}return k*o/1000},thickness2em:function(l,k){var m=a.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(o){var m={top:0,right:0,bottom:0,left:0},l=false;for(var p in m){if(m.hasOwnProperty(p)){var k="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[k+"Style"];if(n){l=true;m[p]=this.length2em(o.style[k+"Width"]);m[p+"Style"]=o.style[k+"Style"];m[p+"Color"]=o.style[k+"Color"];if(m[p+"Color"]==="initial"){m[p+"Color"]=""}}}}return(l?m:false)},Element:function(k,l){var m=(typeof(k)==="string"?document.createElementNS(b,k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m},addElement:function(l,k,m){return l.appendChild(this.Element(k,m))},TextNode:e.TextNode,addText:e.addText,ucMatch:e.ucMatch,HandleVariant:function(s,r,B){var u=i.G();var o,w,y,p,z,t,q,l,x,k;if(!s){s=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}if(s.forceFamily){B=i.TEXT(r,B,s.font);if(s.h!=null){B.h=s.h}if(s.d!=null){B.d=s.d}u.Add(B);B=""}z=s;for(t=0,q=B.length;t<q;t++){s=z;o=B.charCodeAt(t);y=B.charAt(t);if(o>=55296&&o<56319){t++;o=(((o-55296)<<10)+(B.charCodeAt(t)-56320))+65536;if(this.FONTDATA.RemapPlane1){var v=this.FONTDATA.RemapPlane1(o,s);o=v.n;s=v.variant}}else{k=this.FONTDATA.RANGES;for(l=0,x=k.length;l<x;l++){if(k[l].name==="alpha"&&s.noLowerCase){continue}w=s["offset"+k[l].offset];if(w&&o>=k[l].low&&o<=k[l].high){if(k[l].remap&&k[l].remap[o]){o=w+k[l].remap[o]}else{o=o-k[l].low+w;if(k[l].add){o+=k[l].add}}if(s["variant"+k[l].offset]){s=this.FONTDATA.VARIANT[s["variant"+k[l].offset]]}break}}}if(s.remap&&s.remap[o]){if(s.remap[o] instanceof Array){var A=s.remap[o];o=A[0];s=this.FONTDATA.VARIANT[A[1]]}else{if(typeof(s.remap[o])==="string"){B=s.remap[o]+B.substr(t+1);t=0;q=B.length;o=B.charCodeAt(0)}else{o=s.remap[o];if(s.remap.variant){s=this.FONTDATA.VARIANT[s.remap.variant]}}}}if(this.FONTDATA.REMAP[o]&&!s.noRemap){o=this.FONTDATA.REMAP[o];if(o instanceof Array){s=this.FONTDATA.VARIANT[o[1]];o=o[0]}if(typeof(o)==="string"){B=o+B.substr(t+1);t=0;q=B.length;o=o.charCodeAt(0)}}p=this.lookupChar(s,o);y=p[o];if(y){y=[r,p.id+"-"+o.toString(16).toUpperCase()].concat(y);u.Add(i.GLYPH.apply(i,y),u.w,0)}else{if(this.FONTDATA.DELIMITERS[o]){u.Add(this.createDelimiter(o,0,1,p),u.w,0)}else{if(o<=65535){y=String.fromCharCode(o)}else{w=o-65536;y=String.fromCharCode((w>>10)+55296)+String.fromCharCode((w&1023)+56320)}B=i.TEXT(r,y,{"font-family":s.defaultFamily||a.config.MISSINGFONT,"font-style":(s.italic?"italic":""),"font-weight":(s.bold?"bold":"")});if(s.h!=null){B.h=s.h}if(s.d!=null){B.d=s.d}y=i.G();y.Add(B);u.Add(y,u.w,0);B="";c.signal.Post(["SVG Jax - unknown char",o,s])}}}if(B.length==1&&p.skew&&p.skew[o]){u.skew=p.skew[o]*1000}if(u.element.childNodes.length===1){u.element=u.element.firstChild;u.removeable=false;u.scale=r}return u},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]])}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){return l}else{this.findBlock(l,s)}}return{id:"unknown"}},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(k){c.RestartAfter(h.Require(this.fontDir+"/"+k))},createDelimiter:function(k,n,q,o){if(!q){q=1}var s=i.G();if(!k){s.Clean();delete s.element;s.w=s.r=this.TeX.nulldelimiterspace*q;return s}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){c.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var r=0,p=l.HW.length;r<p;r++){if(l.HW[r][0]*q>=n-10-a.config.blacker||(r==p-1&&!l.stretch)){if(l.HW[r][2]){q*=l.HW[r][2]}if(l.HW[r][3]){k=l.HW[r][3]}return this.createChar(q,[k,l.HW[r][1]],o).With({stretched:true})}}if(l.stretch){this["extendDelimiter"+l.dir](s,t,l.stretch,q,o)}return s},createChar:function(s,q,n){var r="",p={fonts:[q[1]],noRemap:true};if(n&&n===g.VARIANT.BOLD){p.fonts=[q[1]+"-bold",q[1]]}if(typeof(q[1])!=="string"){p=q[1]}if(q[0] instanceof Array){for(var o=0,k=q[0].length;o<k;o++){r+=String.fromCharCode(q[0][o])}}else{r=String.fromCharCode(q[0])}var l=this.HandleVariant(p,s,r);if(q[2]){l.x=q[2]*1000}if(q[3]){l.y=q[3]*1000}if(q[5]){l.h+=q[5]*1000}if(q[6]){l.d+=q[6]*1000}return l},extendDelimiterV:function(r,A,m,o,n){var x=this.createChar(o,(m.top||m.ext),n);var u=this.createChar(o,(m.bot||m.ext),n);var q=x.h+x.d+u.h+u.d;var w=-x.h;r.Add(x,0,w);w-=x.d;if(m.mid){var z=this.createChar(o,m.mid,n);q+=z.h+z.d}if(A>q){var l=this.createChar(o,m.ext,n);var p=(m.mid?2:1),v=(A-q)/p,B=(v+100)/(l.h+l.d);while(p-->0){var t=a.Element("g",{transform:"translate("+l.y+","+(w-B*l.h+50+l.y)+") scale(1,"+B+")"});t.appendChild(l.element.cloneNode(false));r.element.appendChild(t);w-=v;if(m.mid&&p){r.Add(z,0,w-z.h);w-=(z.h+z.d)}}}else{if(m.mid){w+=(q-A)/2;r.Add(z,0,w-z.h);w+=-(z.h+z.d)+(q-A)/2}else{w+=(q-A)}}r.Add(u,0,w-u.h);r.Clean();r.scale=o;r.isMultiChar=true},extendDelimiterH:function(t,o,m,q,n){var p=this.createChar(q,(m.left||m.rep),n);var C=this.createChar(q,(m.right||m.rep),n);t.Add(p,-p.l,0);var B=(p.r-p.l)+(C.r-C.l),z=p.r-p.l;if(m.mid){var A=this.createChar(q,m.mid,n);B+=A.w}if(o>B){var y=this.createChar(q,m.rep,n),l=m.fuzz||0;var r=(m.mid?2:1),v=(o-B)/r,E=(v+l)/(y.r-y.l);while(r-->0){var u=a.Element("g",{transform:"translate("+(z-l/2-E*y.l+y.x)+","+y.y+") scale("+E+",1)"});u.appendChild(y.element.cloneNode(false));t.element.appendChild(u);z+=v;if(m.mid&&r){t.Add(A,z,0);z+=A.w}}}else{if(m.mid){var D=Math.min(B-o,p.w/2);z-=D/2;t.Add(A,z,0);z+=A.w-D/2}else{z-=(B-o)}}t.Add(C,z-C.l,0);t.Clean();t.scale=q;t.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:100,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var k=n.childX,q=n.childY;n.x+=k;n.y+=q;n.h-=q;n.d+=q;n.H-=q;n.D+=q;n.w-=k;n.r-=k;n.l+=k;n.removeable=false}}if(Math.abs(n.x)<1&&Math.abs(n.y)<1){n.remove=n.removeable}else{if(n.element.nodeName==="g"){if(!n.element.firstChild){n.remove=n.removeable}else{n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}}else{if(n.element.nodeName==="line"||n.element.nodeName==="polygon"||n.element.nodeName==="path"||n.element.nodeName==="a"){n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}else{n.element.setAttribute("x",Math.floor(n.x/n.scale));n.element.setAttribute("y",Math.floor(n.y/n.scale))}}}if(n.remove){this.n+=n.n;while(n.element.firstChild){if(o&&this.element.firstChild){this.element.insertBefore(n.element.firstChild,this.element.firstChild)}else{this.element.appendChild(n.element.firstChild)}}}else{if(o){this.element.insertBefore(n.element,this.element.firstChild)}else{this.element.appendChild(n.element)}}delete n.element}if(n.d-n.y>this.d){this.d=n.d-n.y;if(this.d>this.D){this.D=this.d}}if(n.y+n.h>this.h){this.h=n.y+n.h;if(this.h>this.H){this.H=this.h}}if(n.D-n.y>this.D){this.D=n.D-n.y}if(n.y+n.H>this.H){this.H=n.y+n.H}if(n.x+n.l<this.l){this.l=n.x+n.l}if(n.x+n.r>this.r){this.r=n.x+n.r}if(p||n.x+n.w+(n.X||0)>this.w){this.w=n.x+n.w+(n.X||0)}this.childScale=n.scale;this.childX=n.x;this.childY=n.y;this.n++;return n},Align:function(m,n,l,k){l=({left:l,center:(this.w-m.w)/2,right:this.w-m.w-l})[n]||0;this.Add(m,l,k)},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});i.ROW=i.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(l){var k=l.toSVG();this.svg.push(k);if(l.SVGcanStretch("Vertical")){k.mml=l}if(k.h>this.sh){this.sh=k.h}if(k.d>this.sd){this.sd=k.d}},Stretch:function(){for(var n=0,k=this.svg.length;n<k;n++){var l=this.svg[n];if(l.mml){l=l.mml.SVGstretchV(this.sh,this.sd)}if(l.ic){this.ic=l.ic}else{delete this.ic}this.Add(l,this.w,0,true)}delete this.svg}});i.RECT=i.Subclass({type:"rect",removeable:false,Init:function(l,n,k,m){if(m==null){m={stroke:"none"}}m.width=Math.floor(k);m.height=Math.floor(l+n);this.SUPER(arguments).Init.call(this,m);this.w=this.r=k;this.h=this.H=l+n;this.d=this.D=this.l=0;this.y=-n}});i.FRAME=i.Subclass({type:"rect",removeable:false,Init:function(n,q,k,m,p,l,o){if(o==null){o={}}o.fill="none";o["stroke-width"]=m.toFixed(2).replace(/\.?0+$/,"");o.width=Math.floor(k-m);o.height=Math.floor(n+q-m);o.transform="translate("+Math.floor(m/2)+","+Math.floor(-q+m/2)+")";if(p==="dashed"){o["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,o);this.w=this.r=k;this.h=this.H=n;this.d=this.D=q;this.l=0}});i.HLINE=i.Subclass({type:"line",removeable:false,Init:function(l,p,r,o,q){if(q==null){q={}}if(o&&o!==""){q.stroke=o}q["stroke-width"]=p.toFixed(2).replace(/\.?0+$/,"");q.x1=0;q.y1=q.y2=p/2;q.x2=Math.floor(l);if(r==="dashed"){var s=Math.floor(l/(6*p)),k=Math.floor(l/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=l;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.VLINE=i.Subclass({type:"line",removeable:false,Init:function(p,o,r,l,q){if(q==null){q={}}if(l&&l!==""){q.stroke=l}q["stroke-width"]=o.toFixed(2).replace(/\.?0+$/,"");q.x1=q.x2=o/2;q.y1=0;q.y2=Math.floor(p);if(r==="dashed"){var s=Math.floor(p/(6*o)),k=Math.floor(p/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=o;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.TEXT=i.Subclass({type:"text",removeable:false,Init:function(n,m,k){if(!k){k={}}k.stroke="none";this.SUPER(arguments).Init.call(this,k);a.addText(this.element,m);a.textSVG.appendChild(this.element);var l=this.element.getBBox();a.textSVG.removeChild(this.element);n*=1000/a.em;this.element.setAttribute("transform","scale("+n+") matrix(1 0 0 -1 0 0)");this.w=this.r=l.width*n;this.l=0;this.h=this.H=-l.y*n;this.d=this.D=(l.height+l.y)*n}});i.G=i;i.NULL=i.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});var f,d;i.GLYPH=i.Subclass({type:"path",removeable:false,Init:function(q,m,u,v,x,s,k,n){var o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGdataStretched:function(l,k,m){this.SVGdata={HW:k,D:m};if(m!=null){return this.data[l].SVGstretchV(k,m)}if(k!=null){return this.data[l].SVGstretchH(k)}return this.data[l].toSVG()},SVGsaveData:function(l){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=l.w,this.SVGdata.x=l.x;if(l.X!=null){this.SVGdata.X=l.X}if(this["class"]){l.removeable=false;a.Element(l.element,{"class":this["class"]})}if(this.id){l.removeable=false;a.Element(l.element,{id:this.id})}if(this.href){var k=a.Element("a");k.setAttributeNS(j,"href",this.href);a.addElement(k,"rect",{width:l.w,height:l.h+l.d,y:-l.d,fill:"none",stroke:"none","pointer-events":"all"});if(l.type==="svg"){var n=l.element.firstChild;while(n.firstChild){k.appendChild(n.firstChild)}n.appendChild(k)}else{if(l.removeable&&l.element.nodeName==="g"){while(l.element.firstChild){k.appendChild(l.element.firstChild)}}else{k.appendChild(l.element)}l.element=k}l.removeable=false}if(a.config.addMMLclasses){l.removeable=false;l.element.setAttribute("className","mjx-svg-"+this.type)}var m=this.Get("style");if(m){l.element.style.cssText=m;if(l.element.style.fontSize){l.element.style.fontSize=""}l.element.style.border=l.element.style.padding="";if(l.removeable){l.removeable=l.element.style.cssText===""}}},SVGgetStyles:function(){var l=this.Get("style");if(l){var k=e.Element("span");k.style.cssText=l;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var k=this,o=this.Parent();while(o&&o.isEmbellished()&&o.Core()===k){k=o;o=o.Parent()}if(m.lspace){n.x+=m.lspace}if(m.rspace){n.X=m.rspace}}}else{var p=this.texSpacing();if(p!==""){n.x+=a.length2em(p,this.SVGgetScale())/n.scale}}},SVGhandleColor:function(o){var w=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!w.color){w.color=this.styles.color}if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.mathcolor){a.Element(o.element,{fill:w.mathcolor,stroke:w.mathcolor});o.removeable=false}var s=(this.styles||{}).border,u=(this.styles||{}).padding,t=((s||{}).left||0),q=((u||{}).left||0),k;w.background=(this.mathbackground||this.background||(this.styles||{}).background||g.COLOR.TRANSPARENT);if(t+q){var l=i();for(k in o){if(o.hasOwnProperty(k)){l[k]=o[k]}}l.x=0;l.y=0;o.element=a.Element("g");o.removeable=true;o.Add(l,t+q,0)}if(u){o.w+=u.right;o.h+=u.top;o.d+=u.bottom}if(s){o.w+=s.right;o.h+=s.top;o.d+=s.bottom}if(w.background!==g.COLOR.TRANSPARENT){if(o.element.nodeName!=="g"&&o.element.nodeName!=="svg"){var p=a.Element("g");p.appendChild(o.element);o.element=p;o.removable=true}o.Add(i.RECT(o.h,o.d,o.w,{fill:w.background}),0,0,false,true)}if(s){var v=5;var m={left:["V",o.h+o.d,-v,-o.d],right:["V",o.h+o.d,o.w-s.right+v,-o.d],top:["H",o.w,0,o.h-s.top+v],bottom:["H",o.w,0,-o.d-v]};for(k in m){if(m.hasOwnProperty(k)){if(s[k]){var r=m[k],n=i[r[0]+"LINE"];o.Add(n(r[1],s[k],s[k+"Style"],s[k+"Color"]),r[2],r[3])}}}}},SVGhandleVariant:function(k,m,l){return a.HandleVariant(k,m,l)},SVGgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var l=k.mathvariant;if(this.variantForm){l="-TeX-variant"}k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.styles){if(!k.style&&this.styles.fontStyle){k.style=this.styles.fontStyle}if(!k.weight&&this.styles.fontWeight){k.weight=this.styles.fontWeight}if(!k.family&&this.styles.fontFamily){k.family=this.styles.fontFamily}}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}l={forceFamily:true,font:{"font-family":k.family}};if(k.style){l.font["font-style"]=k.style}if(k.weight){l.font["font-weight"]=k.weight}return l}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}return a.FONTDATA.VARIANT[l]},SVGgetScale:function(){var l=1,k=this.getValues("mathsize","scriptlevel","fontsize");if((this.styles||{}).fontSize&&!k.fontsize){k.fontsize=this.styles.fontSize}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(l<k.scriptminsize){l=k.scriptminsize}}l*=a.length2em(k.mathsize)/1000;return l},SVGgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},SVGnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},SVGcanStretch:function(k){if(this.isEmbellished()){return this.Core().SVGcanStretch(k)}return false},SVGstretchV:function(k,l){return this.toSVG(k,l)},SVGstretchH:function(k){return this.toSVG(k)},SVGlineBreaks:function(){return false}},{SVGautoload:function(){var k=a.autoloadDir+"/"+this.type+".js";c.RestartAfter(h.Require(k))},SVGautoloadFile:function(k){var l=a.autoloadDir+"/"+k+".js";c.RestartAfter(h.Require(l))}});g.chars.Augment({toSVG:function(l,o,k,m){var n=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.entity.Augment({toSVG:function(k,l){return this.SVGhandleVariant(k,l,this.toString().replace(/[\u2061-\u2064]/g,""))}});g.mo.Augment({toSVG:function(){this.SVGgetStyles();var r=this.svg=this.SVG();this.SVGhandleSpace(r);if(this.data.length==0){r.Clean();this.SVGsaveData(r);return r}var n=this.SVGgetScale(),p=this.SVGgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){p=a.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var v=this.CoreParent(),o=(v&&v.isa(g.msubsup)&&this!==v.data[0]),k=(o?this.SVGremapChars:null);if(this.data.join("").length===1&&v&&v.isa(g.munderover)&&this.CoreText(v.data[v.base]).length===1){var s=v.data[v.over],u=v.data[v.under];if(s&&this===s.CoreMO()&&v.Get("accent")){k=a.FONTDATA.REMAPACCENT}else{if(u&&this===u.CoreMO()&&v.Get("accentunder")){k=a.FONTDATA.REMAPACCENTUNDER}}}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){var y=this.data[q].toSVG(p,n,this.SVGremap,k),t=r.w;if(t===0&&-y.l>10*y.w){t+=-y.l}r.Add(y,t,0,true);if(y.skew){r.skew=y.skew}}}r.Clean();if(this.data.join("").length!==1){delete r.skew}if(w.largeop){r.y=(r.h-r.d)/2/n-a.TeX.axis_height;if(r.r>r.w){r.ic=r.r-r.w;r.w=r.r}}this.SVGhandleColor(r);this.SVGsaveData(r);return r},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while(k.isa(g.mrow)&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},SVGremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},SVGremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},SVGcanStretch:function(o){if(!this.Get("stretchy")){return false}var p=this.data.join("");if(p.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var n=l.data[l.over],k=l.data[l.under];if(n&&this===n.CoreMO()&&l.Get("accent")){p=a.FONTDATA.REMAPACCENT[p]||p}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER[p]||p}}}p=a.FONTDATA.DELIMITERS[p.charCodeAt(0)];var m=(p&&p.dir==o.substr(0,1));if(!m){delete this.svg}return m},SVGstretchV:function(p,q){var m=this.svg||this.toSVG();var l=this.getValues("symmetric","maxsize","minsize");var o=a.TeX.axis_height,k=this.SVGgetMu(m),n;if(l.symmetric){n=2*Math.max(p-o,q+o)}else{n=p+q}l.maxsize=a.length2em(l.maxsize,k,m.h+m.d);l.minsize=a.length2em(l.minsize,k,m.h+m.d);n=Math.max(l.minsize,Math.min(l.maxsize,n));m=a.createDelimiter(this.data.join("").charCodeAt(0),n,m.scale);if(l.symmetric){n=(m.h+m.d)/2+o}else{n=(m.h+m.d)*p/(p+q)}m.y=n-m.h;this.SVGhandleSpace(m);this.SVGhandleColor(m);delete this.svg;this.SVGsaveData(m);return m},SVGstretchH:function(l){var n=this.svg||this.toSVG(),k=this.SVGgetMu(n);var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}m.maxsize=a.length2em(m.maxsize,k,n.w);m.minsize=a.length2em(m.minsize,k,n.w);l=Math.max(m.minsize,Math.min(m.maxsize,l));n=a.createDelimiter(this.data.join("").charCodeAt(0),l,n.scale,m.mathvariant);this.SVGhandleSpace(n);this.SVGhandleColor(n);delete this.svg;this.SVGsaveData(n);return n}});g.mtext.Augment({toSVG:function(){this.SVGgetStyles();var k,m,l=this.SVGgetScale();if(this.Parent().type==="merror"){k=this.SVG();this.SVGhandleSpace(k);m=i.G();m.Add(i.TEXT(0.9*l,this.data.join(""),{fill:"#C00"}));k.Add(i.RECT(m.h+100,m.d+100,m.w+200,{fill:"#FF8",stroke:"#C00","stroke-width":50}),0,0);k.Add(m,150,0);k.H+=150;k.D+=50;k.Clean();this.SVGsaveData(k);return k}else{if(a.config.mtextFontInherit){k=this.SVG();this.SVGhandleSpace(k);k.Add(i.TEXT(l,this.data.join("")));k.Clean();this.SVGhandleColor(k);this.SVGsaveData(k);return k}else{return this.SUPER(arguments).toSVG.call(this)}}}});g.ms.Augment({toSVG:g.mbase.SVGautoload});g.mglyph.Augment({toSVG:g.mbase.SVGautoload});g.mspace.Augment({toSVG:function(){this.SVGgetStyles();var m=this.getValues("height","depth","width");m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var l=this.SVG(),k=this.SVGgetMu(l);l.h=a.length2em(m.height,k)/l.scale;l.d=a.length2em(m.depth,k)/l.scale;l.w=l.r=a.length2em(m.width,k)/l.scale;if(l.w<0){l.x=l.w;l.w=l.r=0}l.l=0;l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.mphantom.Augment({toSVG:function(k,m){this.SVGgetStyles();var 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l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toSVG.call(this)}var E=this.SVG();this.SVGhandleSpace(E);var M=E.scale=this.SVGgetScale();var p=[],K=[],u,J,G,n=-a.BIGDIMEN,I=n;for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){if(J==this.base){p[J]=this.SVGdataStretched(J,F,C);K[J]=(C!=null||F==null)&&this.data[J].SVGcanStretch("Horizontal")}else{p[J]=this.data[J].toSVG();K[J]=this.data[J].SVGcanStretch("Horizontal")}if(p[J].w>I){I=p[J].w}if(!K[J]&&I>n){n=I}}}if(C==null&&F!=null){n=F}else{if(n==-a.BIGDIMEN){n=I}}for(J=I=0,G=this.data.length;J<G;J++){if(this.data[J]){if(K[J]){p[J]=this.data[J].SVGstretchH(n)}if(p[J].w>I){I=p[J].w}}}var B=a.TeX.rule_thickness;var o=p[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,scale:M};var 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m=B.Add(this.SVGdataStretched(this.base,G,z));var l=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var I=a.TeX.x_height*K,y=a.TeX.scriptspace*K;var k,n;if(this.SVGnotEmpty(this.data[this.sup])){k=this.data[this.sup].toSVG();k.w+=y;k.r=Math.max(k.w,k.r)}if(this.SVGnotEmpty(this.data[this.sub])){n=this.data[this.sub].toSVG();n.w+=y;n.r=Math.max(n.w,n.r)}var C=a.TeX.sup_drop*l,A=a.TeX.sub_drop*l;var w=m.h-C,o=m.d+A,J=0,F;if(m.ic){m.w-=m.ic;J=1.3*m.ic+0.05}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.scale===1&&!m.stretched&&!this.data[this.base].Get("largeop")){w=o=0}}var 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o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===g.INDENTALIGN.AUTO){u.indentalign=this.displayAlign}m.style.textAlign=u.indentalign;if(u.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift=this.displayIndent}if(u.indentshift&&u.indentalign!==g.INDENTALIGN.CENTER){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return 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aG=d.FONTDATA.baselineskip*aj*aF.useHeight,V=d.FONTDATA.lineH*aj,ac=d.FONTDATA.lineD*aj;for(aB=0,ay=this.data.length;aB<ay;aB++){N=this.data[aB];at=(N.type==="mlabeledtr"?aD:0);K[aB]=[];u[aB]=B[aB]=0;for(aA=at,q=N.data.length+at;aA<q;aA++){if(h[aA]==null){if(aA>t){t=aA}E[aA]=b.G();h[aA]=-d.BIGDIMEN}K[aB][aA]=N.data[aA-at].toSVG();if(K[aB][aA].h>u[aB]){u[aB]=K[aB][aA].h}if(K[aB][aA].d>B[aB]){B[aB]=K[aB][aA].d}if(K[aB][aA].w>h[aA]){h[aA]=K[aB][aA].w}}}if(u[0]+B[0]){u[0]=Math.max(u[0],V)}if(u[K.length-1]+B[K.length-1]){B[K.length-1]=Math.max(B[K.length-1],ac)}var ai=aF.columnspacing.split(/ /),O=aF.rowspacing.split(/ /),ae=aF.columnalign.split(/ /),G=aF.rowalign.split(/ /),I=aF.columnlines.split(/ /),g=aF.rowlines.split(/ /),al=aF.columnwidth.split(/ /),ap=[];for(aB=0,ay=ai.length;aB<ay;aB++){ai[aB]=d.length2em(ai[aB],r)}for(aB=0,ay=O.length;aB<ay;aB++){O[aB]=d.length2em(O[aB],r)}while(ai.length<t){ai.push(ai[ai.length-1])}while(ae.length<=t){ae.push(ae[ae.length-1])}while(I.length<t){I.push(I[I.length-1])}while(al.length<=t){al.push(al[al.length-1])}while(O.length<K.length){O.push(O[O.length-1])}while(G.length<=K.length){G.push(G[G.length-1])}while(g.length<K.length){g.push(g[g.length-1])}if(E[aD]){ae[aD]=(aF.side.substr(0,1)==="l"?"left":"right");ai[aD]=-h[aD]}for(aB=0,ay=K.length;aB<ay;aB++){N=this.data[aB];ap[aB]=[];if(N.rowalign){G[aB]=N.rowalign}if(N.columnalign){ap[aB]=N.columnalign.split(/ /);while(ap[aB].length<=t){ap[aB].push(ap[aB][ap[aB].length-1])}}}if(aF.equalrows){var Q=Math.max.apply(Math,u),ak=Math.max.apply(Math,B);for(aB=0,ay=K.length;aB<ay;aB++){at=((Q+ak)-(u[aB]+B[aB]))/2;u[aB]+=at;B[aB]+=at}}var au=u[0]+B[K.length-1];for(aB=0,ay=K.length-1;aB<ay;aB++){au+=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB])}var 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am,aq=0,R=0,S=0,aw=0,aC=0,o=[],w=[],af=1;if(aF.equalcolumns&&aF.width!=="auto"){am=d.length2em(aF.width,r);for(aB=0,ay=Math.min(t+1,ai.length);aB<ay;aB++){am-=ai[aB]}am/=t+1;for(aB=0,ay=Math.min(t+1,al.length);aB<ay;aB++){h[aB]=am}}else{for(aB=0,ay=Math.min(t+1,al.length);aB<ay;aB++){if(al[aB]==="auto"){R+=h[aB]}else{if(al[aB]==="fit"){w[aC]=aB;aC++;R+=h[aB]}else{if(al[aB].match(/%$/)){o[aw]=aB;aw++;S+=h[aB];aq+=d.length2em(al[aB],r,1)}else{h[aB]=d.length2em(al[aB],r);R+=h[aB]}}}}if(aF.width==="auto"){if(aq>0.98){af=S/(R+S);am=R+S}else{am=R/(1-aq)}}else{am=d.length2em(aF.width,r);for(aB=0,ay=Math.min(t+1,ai.length);aB<ay;aB++){am-=ai[aB]}}for(aB=0,ay=o.length;aB<ay;aB++){h[o[aB]]=d.length2em(al[o[aB]],r,am*af);R+=h[o[aB]]}if(Math.abs(am-R)>0.01){if(aC&&am>R){am=(am-R)/aC;for(aB=0,ay=w.length;aB<ay;aB++){h[w[aB]]+=am}}else{am=am/R;for(aA=0;aA<=t;aA++){h[aA]*=am}}}if(aF.equalcolumns){var ab=Math.max.apply(Math,h);for(aA=0;aA<=t;aA++){h[aA]=ab}}}var an=e,k,az;at=(E[aD]?aD:0);for(aA=at;aA<=t;aA++){E[aA].w=h[aA];for(aB=0,ay=K.length;aB<ay;aB++){if(K[aB][aA]){at=(this.data[aB].type==="mlabeledtr"?aD:0);var ah=this.data[aB].data[aA-at];if(ah.SVGcanStretch("Horizontal")){K[aB][aA]=ah.SVGstretchH(h[aA])}else{if(ah.SVGcanStretch("Vertical")){var v=ah.CoreMO();var Z=v.symmetric;v.symmetric=false;K[aB][aA]=ah.SVGstretchV(u[aB],B[aB]);v.symmetric=Z}}az=ah.rowalign||this.data[aB].rowalign||G[aB];k=({top:u[aB]-K[aB][aA].h,bottom:K[aB][aA].d-B[aB],center:((u[aB]-B[aB])-(K[aB][aA].h-K[aB][aA].d))/2,baseline:0,axis:0})[az];az=(ah.columnalign||ap[aB][aA]||ae[aA]);E[aA].Align(K[aB][aA],az,0,an+k)}if(aB<K.length-1){an-=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB])}}an=e}var ad=1.5*d.em;var ao=aa-ad/2;for(aA=0;aA<=t;aA++){l.Add(E[aA],ao,0);ao+=h[aA]+ai[aA];if(I[aA]!=="none"&&aA<t&&aA!==aD){l.Add(b.VLINE(aE,ad,I[aA]),ao-ai[aA]/2,ar)}}l.w+=aa;l.d=-ar;l.h=aE+ar;av=l.w;if(aF.frame!=="none"){l.Add(b.HLINE(av,ad,aF.frame),0,ar+aE-ad);l.Add(b.HLINE(av,ad,aF.frame),0,ar);l.Add(b.VLINE(aE,ad,aF.frame),0,ar);l.Add(b.VLINE(aE,ad,aF.frame),av-ad,ar)}an=e-ad/2;for(aB=0,ay=K.length-1;aB<ay;aB++){k=Math.max(aG,B[aB]+u[aB+1]+O[aB]);if(g[aB]!=="none"){l.Add(b.HLINE(av,ad,g[aB]),0,an-B[aB]-(k-B[aB]-u[aB+1])/2)}an-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(E[aD]){var L=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(L.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){L.indentalign=L.indentalignfirst}if(L.indentalign===a.INDENTALIGN.AUTO){L.indentalign=this.displayAlign}if(L.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){L.indentshift=L.indentshiftfirst}if(L.indentshift==="auto"){L.indentshift=this.displayIndent}var z=l;l=this.SVG();l.width=d.cwidth+"px";l.w=d.length2em(l.width);var ag=(L.indentshift?d.length2em(L.indentshift,r):0);l.Align(z,L.indentalign,ag,0);l.Align(E[aD],ae[aD],d.length2em(aF.minlabelspacing,r),0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG-full.js");
diff --git a/jax/output/SVG/autoload/maction.js b/jax/output/SVG/autoload/maction.js
index 75a0140b6..7f3e43a5a 100644
--- a/jax/output/SVG/autoload/maction.js
+++ b/jax/output/SVG/autoload/maction.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.0";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j){i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));this.SVGhandleHitBox(i)}this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.addElement(h.element,"rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,j,this.Get("selection"))}},SVGstretchH:c.mbase.SVGstretchH,SVGstretchV:c.mbase.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){window.status=((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){window.status=""},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth*1000;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.0";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j){i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));this.SVGhandleHitBox(i)}this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.addElement(h.element,"rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,j,this.Get("selection"))}},SVGstretchH:c.mbase.prototype.SVGstretchH,SVGstretchV:c.mbase.prototype.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){window.status=((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){window.status=""},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth*1000;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")});
 
diff --git a/jax/output/SVG/autoload/mtable.js b/jax/output/SVG/autoload/mtable.js
index cd23f76db..3d6e0f023 100644
--- a/jax/output/SVG/autoload/mtable.js
+++ b/jax/output/SVG/autoload/mtable.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.0";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(U){var l=this.SVG();if(this.data.length===0){return l}var aF=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aF.width.match(/%$/)){l.width=aF.width=Math.floor(d.cwidth*parseFloat(aF.width)/100)+"px"}var aj=this.SVGgetScale(),r=this.SVGgetMu(l);var aD=-1;var u=[],B=[],h=[],K=[],E=[],aB,aA,t=-1,ay,q,at,N;var aG=d.FONTDATA.baselineskip*aj*aF.useHeight,V=d.FONTDATA.lineH*aj,ac=d.FONTDATA.lineD*aj;for(aB=0,ay=this.data.length;aB<ay;aB++){N=this.data[aB];at=(N.type==="mlabeledtr"?aD:0);K[aB]=[];u[aB]=B[aB]=0;for(aA=at,q=N.data.length+at;aA<q;aA++){if(h[aA]==null){if(aA>t){t=aA}E[aA]=b.G();h[aA]=-d.BIGDIMEN}K[aB][aA]=N.data[aA-at].toSVG();if(K[aB][aA].h>u[aB]){u[aB]=K[aB][aA].h}if(K[aB][aA].d>B[aB]){B[aB]=K[aB][aA].d}if(K[aB][aA].w>h[aA]){h[aA]=K[aB][aA].w}}}if(u[0]+B[0]){u[0]=Math.max(u[0],V)}if(u[K.length-1]+B[K.length-1]){B[K.length-1]=Math.max(B[K.length-1],ac)}var ai=aF.columnspacing.split(/ /),O=aF.rowspacing.split(/ /),ae=aF.columnalign.split(/ /),G=aF.rowalign.split(/ /),I=aF.columnlines.split(/ /),g=aF.rowlines.split(/ /),al=aF.columnwidth.split(/ /),ap=[];for(aB=0,ay=ai.length;aB<ay;aB++){ai[aB]=d.length2em(ai[aB],r)}for(aB=0,ay=O.length;aB<ay;aB++){O[aB]=d.length2em(O[aB],r)}while(ai.length<t){ai.push(ai[ai.length-1])}while(ae.length<=t){ae.push(ae[ae.length-1])}while(I.length<t){I.push(I[I.length-1])}while(al.length<=t){al.push(al[al.length-1])}while(O.length<K.length){O.push(O[O.length-1])}while(G.length<=K.length){G.push(G[G.length-1])}while(g.length<K.length){g.push(g[g.length-1])}if(E[aD]){ae[aD]=(aF.side.substr(0,1)==="l"?"left":"right");ai[aD]=-h[aD]}for(aB=0,ay=K.length;aB<ay;aB++){N=this.data[aB];ap[aB]=[];if(N.rowalign){G[aB]=N.rowalign}if(N.columnalign){ap[aB]=N.columnalign.split(/ /);while(ap[aB].length<=t){ap[aB].push(ap[aB][ap[aB].length-1])}}}if(aF.equalrows){var Q=Math.max.apply(Math,u),ak=Math.max.apply(Math,B);for(aB=0,ay=K.length;aB<ay;aB++){at=((Q+ak)-(u[aB]+B[aB]))/2;u[aB]+=at;B[aB]+=at}}var au=u[0]+B[K.length-1];for(aB=0,ay=K.length-1;aB<ay;aB++){au+=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB])}var aa=0,X=0,av,aE=au;if(aF.frame!=="none"||(aF.columnlines+aF.rowlines).match(/solid|dashed/)){aa=d.length2em(aF.framespacing.split(/[, ]+/)[0],r);X=d.length2em(aF.framespacing.split(/[, ]+/)[1],r);aE=au+2*X}var e,ar,ax="";if(typeof(aF.align)!=="string"){aF.align=String(aF.align)}if(aF.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ax=RegExp.$3;aF.align=RegExp.$1}else{aF.align=this.defaults.align}if(ax!==""){ax=parseInt(ax);if(ax<0){ax=K.length+1+ax}if(ax<1){ax=1}else{if(ax>K.length){ax=K.length}}e=0;ar=-(au+X)+u[0];for(aB=0,ay=ax-1;aB<ay;aB++){var T=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB]);e+=T;ar+=T}}else{e=({top:-(u[0]+X),bottom:au+X-u[0],center:au/2-u[0],baseline:au/2-u[0],axis:au/2+d.TeX.axis_height*aj-u[0]})[aF.align];ar=({top:-(au+2*X),bottom:0,center:-(au/2+X),baseline:-(au/2+X),axis:d.TeX.axis_height*aj-au/2-X})[aF.align]}var am,aq=0,R=0,S=0,aw=0,aC=0,o=[],w=[],af=1;if(aF.equalcolumns&&aF.width!=="auto"){am=d.length2em(aF.width,r);for(aB=0,ay=Math.min(t+1,ai.length);aB<ay;aB++){am-=ai[aB]}am/=t+1;for(aB=0,ay=Math.min(t+1,al.length);aB<ay;aB++){h[aB]=am}}else{for(aB=0,ay=Math.min(t+1,al.length);aB<ay;aB++){if(al[aB]==="auto"){R+=h[aB]}else{if(al[aB]==="fit"){w[aC]=aB;aC++;R+=h[aB]}else{if(al[aB].match(/%$/)){o[aw]=aB;aw++;S+=h[aB];aq+=d.length2em(al[aB],r,1)}else{h[aB]=d.length2em(al[aB],r);R+=h[aB]}}}}if(aF.width==="auto"){if(aq>0.98){af=S/(R+S);am=R+S}else{am=R/(1-aq)}}else{am=d.length2em(aF.width,r);for(aB=0,ay=Math.min(t+1,ai.length);aB<ay;aB++){am-=ai[aB]}}for(aB=0,ay=o.length;aB<ay;aB++){h[o[aB]]=d.length2em(al[o[aB]],r,am*af);R+=h[o[aB]]}if(Math.abs(am-R)>0.01){if(aC&&am>R){am=(am-R)/aC;for(aB=0,ay=w.length;aB<ay;aB++){h[w[aB]]+=am}}else{am=am/R;for(aA=0;aA<=t;aA++){h[aA]*=am}}}if(aF.equalcolumns){var ab=Math.max.apply(Math,h);for(aA=0;aA<=t;aA++){h[aA]=ab}}}var an=e,k,az;at=(E[aD]?aD:0);for(aA=at;aA<=t;aA++){E[aA].w=h[aA];for(aB=0,ay=K.length;aB<ay;aB++){if(K[aB][aA]){at=(this.data[aB].type==="mlabeledtr"?aD:0);var ah=this.data[aB].data[aA-at];if(ah.SVGcanStretch("Horizontal")){K[aB][aA]=ah.SVGstretchH(h[aA])}else{if(ah.SVGcanStretch("Vertical")){var v=ah.CoreMO();var Z=v.symmetric;v.symmetric=false;K[aB][aA]=ah.SVGstretchV(u[aB],B[aB]);v.symmetric=Z}}az=ah.rowalign||this.data[aB].rowalign||G[aB];k=({top:u[aB]-K[aB][aA].h,bottom:K[aB][aA].d-B[aB],center:((u[aB]-B[aB])-(K[aB][aA].h-K[aB][aA].d))/2,baseline:0,axis:0})[az];az=(ah.columnalign||ap[aB][aA]||ae[aA]);E[aA].Align(K[aB][aA],az,0,an+k)}if(aB<K.length-1){an-=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB])}}an=e}var ad=1.5*d.em;var ao=aa-ad/2;for(aA=0;aA<=t;aA++){l.Add(E[aA],ao,0);ao+=h[aA]+ai[aA];if(I[aA]!=="none"&&aA<t&&aA!==aD){l.Add(b.VLINE(aE,ad,I[aA]),ao-ai[aA]/2,ar)}}l.w+=aa;l.d=-ar;l.h=aE+ar;av=l.w;if(aF.frame!=="none"){l.Add(b.HLINE(av,ad,aF.frame),0,ar+aE-ad);l.Add(b.HLINE(av,ad,aF.frame),0,ar);l.Add(b.VLINE(aE,ad,aF.frame),0,ar);l.Add(b.VLINE(aE,ad,aF.frame),av-ad,ar)}an=e-ad/2;for(aB=0,ay=K.length-1;aB<ay;aB++){k=Math.max(aG,B[aB]+u[aB+1]+O[aB]);if(g[aB]!=="none"){l.Add(b.HLINE(av,ad,g[aB]),0,an-B[aB]-(k-B[aB]-u[aB+1])/2)}an-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(E[aD]){var L=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(L.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){L.indentalign=L.indentalignfirst}if(L.indentalign===a.INDENTALIGN.AUTO){L.indentalign=this.displayAlign}if(L.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){L.indentshift=L.indentshiftfirst}if(L.indentshift==="auto"){L.indentshift=this.displayIndent}var z=l;l=this.SVG();l.width=d.cwidth+"px";l.w=d.length2em(l.width);var ag=(L.indentshift?d.length2em(L.indentshift,r):0);l.Align(z,L.indentalign,ag,0);l.Align(E[aD],ae[aD],d.length2em(aF.minlabelspacing,r),0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor();this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.0";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(U){var l=this.SVG();if(this.data.length===0){return l}var aF=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aF.width.match(/%$/)){l.width=aF.width=Math.floor(d.cwidth*parseFloat(aF.width)/100)+"px"}var aj=this.SVGgetScale(),r=this.SVGgetMu(l);var aD=-1;var u=[],B=[],h=[],K=[],E=[],aB,aA,t=-1,ay,q,at,N;var aG=d.FONTDATA.baselineskip*aj*aF.useHeight,V=d.FONTDATA.lineH*aj,ac=d.FONTDATA.lineD*aj;for(aB=0,ay=this.data.length;aB<ay;aB++){N=this.data[aB];at=(N.type==="mlabeledtr"?aD:0);K[aB]=[];u[aB]=B[aB]=0;for(aA=at,q=N.data.length+at;aA<q;aA++){if(h[aA]==null){if(aA>t){t=aA}E[aA]=b.G();h[aA]=-d.BIGDIMEN}K[aB][aA]=N.data[aA-at].toSVG();if(K[aB][aA].h>u[aB]){u[aB]=K[aB][aA].h}if(K[aB][aA].d>B[aB]){B[aB]=K[aB][aA].d}if(K[aB][aA].w>h[aA]){h[aA]=K[aB][aA].w}}}if(u[0]+B[0]){u[0]=Math.max(u[0],V)}if(u[K.length-1]+B[K.length-1]){B[K.length-1]=Math.max(B[K.length-1],ac)}var ai=aF.columnspacing.split(/ /),O=aF.rowspacing.split(/ /),ae=aF.columnalign.split(/ /),G=aF.rowalign.split(/ /),I=aF.columnlines.split(/ /),g=aF.rowlines.split(/ /),al=aF.columnwidth.split(/ /),ap=[];for(aB=0,ay=ai.length;aB<ay;aB++){ai[aB]=d.length2em(ai[aB],r)}for(aB=0,ay=O.length;aB<ay;aB++){O[aB]=d.length2em(O[aB],r)}while(ai.length<t){ai.push(ai[ai.length-1])}while(ae.length<=t){ae.push(ae[ae.length-1])}while(I.length<t){I.push(I[I.length-1])}while(al.length<=t){al.push(al[al.length-1])}while(O.length<K.length){O.push(O[O.length-1])}while(G.length<=K.length){G.push(G[G.length-1])}while(g.length<K.length){g.push(g[g.length-1])}if(E[aD]){ae[aD]=(aF.side.substr(0,1)==="l"?"left":"right");ai[aD]=-h[aD]}for(aB=0,ay=K.length;aB<ay;aB++){N=this.data[aB];ap[aB]=[];if(N.rowalign){G[aB]=N.rowalign}if(N.columnalign){ap[aB]=N.columnalign.split(/ /);while(ap[aB].length<=t){ap[aB].push(ap[aB][ap[aB].length-1])}}}if(aF.equalrows){var Q=Math.max.apply(Math,u),ak=Math.max.apply(Math,B);for(aB=0,ay=K.length;aB<ay;aB++){at=((Q+ak)-(u[aB]+B[aB]))/2;u[aB]+=at;B[aB]+=at}}var au=u[0]+B[K.length-1];for(aB=0,ay=K.length-1;aB<ay;aB++){au+=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB])}var aa=0,X=0,av,aE=au;if(aF.frame!=="none"||(aF.columnlines+aF.rowlines).match(/solid|dashed/)){aa=d.length2em(aF.framespacing.split(/[, ]+/)[0],r);X=d.length2em(aF.framespacing.split(/[, ]+/)[1],r);aE=au+2*X}var e,ar,ax="";if(typeof(aF.align)!=="string"){aF.align=String(aF.align)}if(aF.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ax=RegExp.$3;aF.align=RegExp.$1}else{aF.align=this.defaults.align}if(ax!==""){ax=parseInt(ax);if(ax<0){ax=K.length+1+ax}if(ax<1){ax=1}else{if(ax>K.length){ax=K.length}}e=0;ar=-(au+X)+u[0];for(aB=0,ay=ax-1;aB<ay;aB++){var T=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB]);e+=T;ar+=T}}else{e=({top:-(u[0]+X),bottom:au+X-u[0],center:au/2-u[0],baseline:au/2-u[0],axis:au/2+d.TeX.axis_height*aj-u[0]})[aF.align];ar=({top:-(au+2*X),bottom:0,center:-(au/2+X),baseline:-(au/2+X),axis:d.TeX.axis_height*aj-au/2-X})[aF.align]}var am,aq=0,R=0,S=0,aw=0,aC=0,o=[],w=[],af=1;if(aF.equalcolumns&&aF.width!=="auto"){am=d.length2em(aF.width,r);for(aB=0,ay=Math.min(t+1,ai.length);aB<ay;aB++){am-=ai[aB]}am/=t+1;for(aB=0,ay=Math.min(t+1,al.length);aB<ay;aB++){h[aB]=am}}else{for(aB=0,ay=Math.min(t+1,al.length);aB<ay;aB++){if(al[aB]==="auto"){R+=h[aB]}else{if(al[aB]==="fit"){w[aC]=aB;aC++;R+=h[aB]}else{if(al[aB].match(/%$/)){o[aw]=aB;aw++;S+=h[aB];aq+=d.length2em(al[aB],r,1)}else{h[aB]=d.length2em(al[aB],r);R+=h[aB]}}}}if(aF.width==="auto"){if(aq>0.98){af=S/(R+S);am=R+S}else{am=R/(1-aq)}}else{am=d.length2em(aF.width,r);for(aB=0,ay=Math.min(t+1,ai.length);aB<ay;aB++){am-=ai[aB]}}for(aB=0,ay=o.length;aB<ay;aB++){h[o[aB]]=d.length2em(al[o[aB]],r,am*af);R+=h[o[aB]]}if(Math.abs(am-R)>0.01){if(aC&&am>R){am=(am-R)/aC;for(aB=0,ay=w.length;aB<ay;aB++){h[w[aB]]+=am}}else{am=am/R;for(aA=0;aA<=t;aA++){h[aA]*=am}}}if(aF.equalcolumns){var ab=Math.max.apply(Math,h);for(aA=0;aA<=t;aA++){h[aA]=ab}}}var an=e,k,az;at=(E[aD]?aD:0);for(aA=at;aA<=t;aA++){E[aA].w=h[aA];for(aB=0,ay=K.length;aB<ay;aB++){if(K[aB][aA]){at=(this.data[aB].type==="mlabeledtr"?aD:0);var ah=this.data[aB].data[aA-at];if(ah.SVGcanStretch("Horizontal")){K[aB][aA]=ah.SVGstretchH(h[aA])}else{if(ah.SVGcanStretch("Vertical")){var v=ah.CoreMO();var Z=v.symmetric;v.symmetric=false;K[aB][aA]=ah.SVGstretchV(u[aB],B[aB]);v.symmetric=Z}}az=ah.rowalign||this.data[aB].rowalign||G[aB];k=({top:u[aB]-K[aB][aA].h,bottom:K[aB][aA].d-B[aB],center:((u[aB]-B[aB])-(K[aB][aA].h-K[aB][aA].d))/2,baseline:0,axis:0})[az];az=(ah.columnalign||ap[aB][aA]||ae[aA]);E[aA].Align(K[aB][aA],az,0,an+k)}if(aB<K.length-1){an-=Math.max((u[aB]+B[aB]?aG:0),B[aB]+u[aB+1]+O[aB])}}an=e}var ad=1.5*d.em;var ao=aa-ad/2;for(aA=0;aA<=t;aA++){l.Add(E[aA],ao,0);ao+=h[aA]+ai[aA];if(I[aA]!=="none"&&aA<t&&aA!==aD){l.Add(b.VLINE(aE,ad,I[aA]),ao-ai[aA]/2,ar)}}l.w+=aa;l.d=-ar;l.h=aE+ar;av=l.w;if(aF.frame!=="none"){l.Add(b.HLINE(av,ad,aF.frame),0,ar+aE-ad);l.Add(b.HLINE(av,ad,aF.frame),0,ar);l.Add(b.VLINE(aE,ad,aF.frame),0,ar);l.Add(b.VLINE(aE,ad,aF.frame),av-ad,ar)}an=e-ad/2;for(aB=0,ay=K.length-1;aB<ay;aB++){k=Math.max(aG,B[aB]+u[aB+1]+O[aB]);if(g[aB]!=="none"){l.Add(b.HLINE(av,ad,g[aB]),0,an-B[aB]-(k-B[aB]-u[aB+1])/2)}an-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(E[aD]){var L=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(L.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){L.indentalign=L.indentalignfirst}if(L.indentalign===a.INDENTALIGN.AUTO){L.indentalign=this.displayAlign}if(L.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){L.indentshift=L.indentshiftfirst}if(L.indentshift==="auto"){L.indentshift=this.displayIndent}var z=l;l=this.SVG();l.width=d.cwidth+"px";l.w=d.length2em(l.width);var ag=(L.indentshift?d.length2em(L.indentshift,r):0);l.Align(z,L.indentalign,ag,0);l.Align(E[aD],ae[aD],d.length2em(aF.minlabelspacing,r),0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
 
diff --git a/unpacked/jax/output/SVG/autoload/maction.js b/unpacked/jax/output/SVG/autoload/maction.js
index 69d156608..68fff6caf 100644
--- a/unpacked/jax/output/SVG/autoload/maction.js
+++ b/unpacked/jax/output/SVG/autoload/maction.js
@@ -59,8 +59,8 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
       var type = this.Get("actiontype");
       if (this.SVGaction[type]) {this.SVGaction[type].call(this,svg,frame,this.Get("selection"))}
     },
-    SVGstretchH: MML.mbase.SVGstretchH,
-    SVGstretchV: MML.mbase.SVGstretchV,
+    SVGstretchH: MML.mbase.prototype.SVGstretchH,
+    SVGstretchV: MML.mbase.prototype.SVGstretchV,
     
     //
     //  Implementations for the various actions
diff --git a/unpacked/jax/output/SVG/autoload/mtable.js b/unpacked/jax/output/SVG/autoload/mtable.js
index b49cbcb34..e546822af 100644
--- a/unpacked/jax/output/SVG/autoload/mtable.js
+++ b/unpacked/jax/output/SVG/autoload/mtable.js
@@ -324,7 +324,7 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
         svg.Add(this.SVGdataStretched(0,HW,D));
         svg.Clean();
       }
-      this.SVGhandleColor();
+      this.SVGhandleColor(svg);
       this.SVGsaveData(svg);
       return svg;
     }

From 9ff6d9a321fecf10df6d4c30dd04fc0650a351a2 Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Tue, 14 Feb 2012 12:02:12 -0500
Subject: [PATCH 05/10] Fixed problem with pattern in wrapper function that
 affected Opera when MathJax is minified (discovered by Fred's tests)

---
 MathJax.js          | 2 +-
 unpacked/MathJax.js | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/MathJax.js b/MathJax.js
index 62ca50345..f2ed879f6 100644
--- a/MathJax.js
+++ b/MathJax.js
@@ -26,5 +26,5 @@ if (!window.MathJax) {window.MathJax = {}}
 
 MathJax.isPacked = true;
 
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diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js
index 3f7d0ec87..c58b5cc46 100644
--- a/unpacked/MathJax.js
+++ b/unpacked/MathJax.js
@@ -148,7 +148,7 @@ MathJax.fileversion = "2.0";
 	  catch (err) {delete this.SUPER; throw err}
 	delete this.SUPER;
 	return result;
-      }.toString().replace(/^\s*function \(\)\s*\{\s*/i,"").replace(/\s*\}\s*$/i,""),
+      }.toString().replace(/^\s*function\s*\(\)\s*\{\s*/i,"").replace(/\s*\}\s*$/i,""),
 
       toString: function () {
 	return this.original.toString.apply(this.original,arguments);

From 7ca14b773aa1b71491cd45577b09bc1b41200e68 Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Tue, 14 Feb 2012 12:27:05 -0500
Subject: [PATCH 06/10] Fix problem with zoom box in Firefox NativeMML mode (FF
 doesn't get the size of the <math> element correct). Resolves issue #88 (I
 hope).

---
 config/AM_HTMLorMML-full.js          |  2 +-
 config/Accessible-full.js            |  2 +-
 config/MML_HTMLorMML-full.js         |  2 +-
 config/TeX-AMS-MML_HTMLorMML-full.js |  2 +-
 config/TeX-MML-AM_HTMLorMML-full.js  |  2 +-
 jax/output/NativeMML/jax.js          |  2 +-
 unpacked/jax/output/NativeMML/jax.js | 27 ++++++++++++++++++++++++---
 7 files changed, 30 insertions(+), 9 deletions(-)

diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js
index 861f96506..41ed00eb0 100644
--- a/config/AM_HTMLorMML-full.js
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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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(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 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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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+k+"/MathJax_AMS-Regular.otf')"},"@font-face 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p="width:"+r.firstChild.scrollWidth+"px";if(this.style){if(this.style.match(/(^|;| )width:/)){p=this.style}else{p+="; "+this.style}}r.setAttribute("style",p)}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return j.CoreMO().data.join("")}while(j.isa(f.mrow)&&j.data.length===1&&j.data[0]){j=j.data[0]}if(!j.isToken){return""}else{return j.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(k,j){k=k.replace(/-/g,"\u2212");if(j){k=k.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(k.length===1){k=j[k]||k}}return k},HTMLcanStretch:function(m){if(!this.Get("stretchy")){return false}var n=this.data.join("");if(n.length>1){return false}var k=this.CoreParent();if(k&&k.isa(f.munderover)&&this.CoreText(k.data[k.base]).length===1){var l=k.data[k.over],j=k.data[k.under];if(l&&this===l.CoreMO()&&k.Get("accent")){n=d.FONTDATA.REMAPACCENT[n]||n}else{if(j&&this===j.CoreMO()&&k.Get("accentunder")){n=d.FONTDATA.REMAPACCENTUNDER[n]||n}}}n=d.FONTDATA.DELIMITERS[n.charCodeAt(0)];return(n&&n.dir==m.substr(0,1))},HTMLstretchV:function(l,m,n){this.HTMLremoveColor();var q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/Accessible-full.js b/config/Accessible-full.js
index fd9d4e8b4..bc71c3bc4 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -88,7 +88,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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 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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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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/*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.math.Augment({toNativeMML:function(q){var n=this.NativeMMLelement(this.type),r=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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"))}}q.appendChild(r);if(j.widthBug&&r.scrollWidth<r.firstChild.scrollWidth){var p="width:"+r.firstChild.scrollWidth+"px";if(this.style){if(this.style.match(/(^|;| )width:/)){p=this.style}else{p+="; "+this.style}}r.setAttribute("style",p)}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
index 2c217cd2d..f0c344b59 100644
--- a/config/MML_HTMLorMML-full.js
+++ b/config/MML_HTMLorMML-full.js
@@ -55,7 +55,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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 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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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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/*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.math.Augment({toNativeMML:function(q){var n=this.NativeMMLelement(this.type),r=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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"))}}q.appendChild(r);if(j.widthBug&&r.scrollWidth<r.firstChild.scrollWidth){var p="width:"+r.firstChild.scrollWidth+"px";if(this.style){if(this.style.match(/(^|;| )width:/)){p=this.style}else{p+="; "+this.style}}r.setAttribute("style",p)}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
index 6c57b6e9b..a4d58d1bb 100644
--- a/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -76,7 +76,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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 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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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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/*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.math.Augment({toNativeMML:function(q){var n=this.NativeMMLelement(this.type),r=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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"))}}q.appendChild(r);if(j.widthBug&&r.scrollWidth<r.firstChild.scrollWidth){var p="width:"+r.firstChild.scrollWidth+"px";if(this.style){if(this.style.match(/(^|;| )width:/)){p=this.style}else{p+="; "+this.style}}r.setAttribute("style",p)}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var 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diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
index 1aa6860ee..66ff45b5e 100644
--- a/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/config/TeX-MML-AM_HTMLorMML-full.js
@@ -85,7 +85,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
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ai=0,ag=this.childNodes.length;ai<ag;ai++){if(this.childNodes[ai]===ah){break}}if(ai){this.childNodes[ai-1].nextSibling=aj}else{this.firstChild=aj}if(ai>=ag-1){this.lastChild=aj}this.childNodes[ai]=aj;aj.nextSibling=ah.nextSibling;ah.nextSibling=ah.parent=null;return ah},toString:function(){return"{"+this.childNodes.join("")+"}"}});var D=function(){j=MathJax.ElementJax.mml;var ag=j.mbase.prototype.Init;j.mbase.Augment({firstChild:null,lastChild:null,nodeValue:"",nextSibling:null,Init:function(){var ah=ag.apply(this,arguments)||this;ah.childNodes=ah.data;ah.nodeName=ah.type;return ah},appendChild:function(ak){if(ak.parent){ak.parent.removeChild(ak)}var ai=arguments;if(ak.isa(Z)){ai=ak.childNodes;ak.data=ak.childNodes=[];ak.firstChild=ak.lastChild=null}for(var aj=0,ah=ai.length;aj<ah;aj++){ak=ai[aj];if(this.lastChild){this.lastChild.nextSibling=ak}if(!this.firstChild){this.firstChild=ak}this.Append(ak);this.lastChild=ak;this.nodeValue+=ak.nodeValue}return 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/jax/output/NativeMML/jax.js b/jax/output/NativeMML/jax.js
index de2922e2e..475d44fb0 100644
--- a/jax/output/NativeMML/jax.js
+++ b/jax/output/NativeMML/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(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"}})}if(!this.require){this.require=[]}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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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(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"}})}if(!this.require){this.require=[]}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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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);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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(q){var n=this.NativeMMLelement(this.type),r=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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"))}}q.appendChild(r);if(j.widthBug&&r.scrollWidth<r.firstChild.scrollWidth){var p="width:"+r.firstChild.scrollWidth+"px";if(this.style){if(this.style.match(/(^|;| )width:/)){p=this.style}else{p+="; "+this.style}}r.setAttribute("style",p)}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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);
 
diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js
index 83bea6a01..42b1ac103 100644
--- a/unpacked/jax/output/NativeMML/jax.js
+++ b/unpacked/jax/output/NativeMML/jax.js
@@ -327,7 +327,7 @@
     getHoverBBox: function (jax,span,math) {return EVENT.getBBox(span.parentNode)},
 
     Zoom: function (jax,span,math,Mw,Mh) {
-      jax.root.toNativeMML(span,span);
+      jax.root.toNativeMML(span);
       if (this.msieIE8HeightBug) {span.style.position = "absolute"}
       var mW = math.offsetWidth  || math.scrollWidth,
           mH = math.offsetHeight || math.scrollHeight;
@@ -563,8 +563,28 @@
       //  Some browsers don't seem to add the xmlns attribute, so do it by hand.
       //
       toNativeMML: function (parent) {
-        this.SUPER(arguments).toNativeMML.call(this,parent);
-        parent.lastChild.setAttribute("xmlns",nMML.MMLnamespace);
+        var tag = this.NativeMMLelement(this.type), math = tag;
+        tag.setAttribute("xmlns",nMML.MMLnamespace);
+        this.NativeMMLattributes(tag);
+        if (nMML.widthBug) {tag = tag.appendChild(this.NativeMMLelement("mrow"))}
+        for (var i = 0, m = this.data.length; i < m; i++) {
+          if (this.data[i]) {this.data[i].toNativeMML(tag)}
+            else {tag.appendChild(this.NativeMMLelement("mrow"))}
+        }
+        parent.appendChild(math);
+        //
+        //  Firefox can't get the width of <math> elements right, so
+        //  use an <mrow> to get the actual width and set the style on the 
+        //  <math> element to match.
+        //
+        if (nMML.widthBug && math.scrollWidth < math.firstChild.scrollWidth) {
+          var style = "width:"+math.firstChild.scrollWidth+"px";
+          if (this.style) {
+            if (this.style.match(/(^|;| )width:/)) {style = this.style}
+              else {style += "; "+this.style}
+          }
+          math.setAttribute("style",style);
+        }
       }
     });
 
@@ -641,6 +661,7 @@
     },
     Firefox: function (browser) {
       nMML.forceReflow = true;
+      nMML.widthBug = true;
     }
   });
   

From cfa168e64282ddb8d28bb4d4789a12bbf5d38644 Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Wed, 15 Feb 2012 11:09:39 -0500
Subject: [PATCH 07/10] Allow attributes to have values enclosed in quotes

---
 extensions/TeX/enclose.js          | 2 +-
 unpacked/extensions/TeX/enclose.js | 1 +
 2 files changed, 2 insertions(+), 1 deletion(-)

diff --git a/extensions/TeX/enclose.js b/extensions/TeX/enclose.js
index f6d8e0ce8..68b75e09f 100644
--- a/extensions/TeX/enclose.js
+++ b/extensions/TeX/enclose.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Extension["TeX/enclose"]={version:"2.0",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.macros.enclose="Enclose";c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}l[f[0]]=f[1]}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");
+MathJax.Extension["TeX/enclose"]={version:"2.0",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.macros.enclose="Enclose";c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){f[1]=f[1].replace(/^"(.*)"$/,"$1");if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}l[f[0]]=f[1]}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");
 
diff --git a/unpacked/extensions/TeX/enclose.js b/unpacked/extensions/TeX/enclose.js
index c91eead65..7eff9576c 100644
--- a/unpacked/extensions/TeX/enclose.js
+++ b/unpacked/extensions/TeX/enclose.js
@@ -68,6 +68,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
         for (var i = 0, m = attr.length; i < m; i++) {
           var keyvalue = attr[i].split(/[:=]/);
           if (ALLOW[keyvalue[0]]) {
+            keyvalue[1] = keyvalue[1].replace(/^"(.*)"$/,"$1");
             if (keyvalue[1] === "true") {keyvalue[1] = true}
             if (keyvalue[1] === "false") {keyvalue[1] = false}
             def[keyvalue[0]] = keyvalue[1];

From 70ea836047c3d655526d7398178ae1fa9ea73480 Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Wed, 15 Feb 2012 11:10:34 -0500
Subject: [PATCH 08/10] Fix the AsciiMath block name in default.js, and fix a
 number of comments in extensions

---
 config/default.js                   | 8 ++++----
 unpacked/config/default.js          | 8 ++++----
 unpacked/extensions/TeX/cancel.js   | 2 +-
 unpacked/extensions/TeX/extpfeil.js | 2 +-
 unpacked/extensions/TeX/noErrors.js | 7 ++++---
 5 files changed, 14 insertions(+), 13 deletions(-)

diff --git a/config/default.js b/config/default.js
index 1a37b448a..2a097782b 100644
--- a/config/default.js
+++ b/config/default.js
@@ -560,9 +560,9 @@ MathJax.Hub.Config({
 
   //============================================================================
   //
-  //  These parameters control the AsciiMath inupt jax.
+  //  These parameters control the AsciiMath input jax.
   //
-  AasciiMath: {
+  AsciiMath: {
     //
     //  Determines whether limits are placed above and below operators,
     //  or next to them.  (AsciiMath doesn't have separate in-line and
@@ -573,7 +573,7 @@ MathJax.Hub.Config({
     
     //
     //  The character to use for decimal places when scanning for a number.
-    //  If you change it to ,, beware of things like "(1,2)" which would need
+    //  If you change it to ",", beware of things like "(1,2)" which would need
     //  to be changed to "(1, 2)" to be parsed correctly.
     // 
     decimal: "."
@@ -581,7 +581,7 @@ MathJax.Hub.Config({
   
   //============================================================================
   //
-  //  These parameters control the MathML inupt jax.
+  //  These parameters control the MathML input jax.
   //
   MathML: {
     //
diff --git a/unpacked/config/default.js b/unpacked/config/default.js
index 1a37b448a..2a097782b 100644
--- a/unpacked/config/default.js
+++ b/unpacked/config/default.js
@@ -560,9 +560,9 @@ MathJax.Hub.Config({
 
   //============================================================================
   //
-  //  These parameters control the AsciiMath inupt jax.
+  //  These parameters control the AsciiMath input jax.
   //
-  AasciiMath: {
+  AsciiMath: {
     //
     //  Determines whether limits are placed above and below operators,
     //  or next to them.  (AsciiMath doesn't have separate in-line and
@@ -573,7 +573,7 @@ MathJax.Hub.Config({
     
     //
     //  The character to use for decimal places when scanning for a number.
-    //  If you change it to ,, beware of things like "(1,2)" which would need
+    //  If you change it to ",", beware of things like "(1,2)" which would need
     //  to be changed to "(1, 2)" to be parsed correctly.
     // 
     decimal: "."
@@ -581,7 +581,7 @@ MathJax.Hub.Config({
   
   //============================================================================
   //
-  //  These parameters control the MathML inupt jax.
+  //  These parameters control the MathML input jax.
   //
   MathML: {
     //
diff --git a/unpacked/extensions/TeX/cancel.js b/unpacked/extensions/TeX/cancel.js
index 7d0d303df..4731f8c99 100644
--- a/unpacked/extensions/TeX/cancel.js
+++ b/unpacked/extensions/TeX/cancel.js
@@ -8,7 +8,7 @@
  *  
  *      \cancel{math}            % strikeout math from lower left to upper right
  *      \bcancel{math}           % strikeout from upper left to lower right
- *      \xcancel{math}           % strikout with an X
+ *      \xcancel{math}           % strikeout with an X
  *      \cancelto{value}{math}   % strikeout with arrow going to value
  *  
  *  ---------------------------------------------------------------------
diff --git a/unpacked/extensions/TeX/extpfeil.js b/unpacked/extensions/TeX/extpfeil.js
index 7818eaa3b..5b1c3f5d2 100644
--- a/unpacked/extensions/TeX/extpfeil.js
+++ b/unpacked/extensions/TeX/extpfeil.js
@@ -67,7 +67,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
   //
   TEX.Parse.Augment({
     NewExtArrow: function (name) {
-      var cs     = this.GetArgument(name),
+      var cs    = this.GetArgument(name),
           space = this.GetArgument(name),
           chr   = this.GetArgument(name);
       if (!cs.match(/^\\([a-z]+|.)$/i))
diff --git a/unpacked/extensions/TeX/noErrors.js b/unpacked/extensions/TeX/noErrors.js
index ca71f9788..074ab9bab 100644
--- a/unpacked/extensions/TeX/noErrors.js
+++ b/unpacked/extensions/TeX/noErrors.js
@@ -15,10 +15,11 @@
  *            inlineDelimiters: ["",""],   // or ["$","$"] or ["\\(","\\)"]
  *            multiLine: true,             // false for TeX on all one line
  *            style: {
- *              "font-family": "serif",
- *              "font-size":   "80%",
+ *              "font-size":   "90%",
+ *              "text-align":  "left",
  *              "color":       "black",
- *              "border":      "1px solid" 
+ *              "padding":     "1px 3px",
+ *              "border":      "1px solid"
  *                // add any additional CSS styles that you want
  *                //  (be sure there is no extra comma at the end of the last item)
  *            }

From 89f0f9d3071f0c5786caf7e8ca3fc2f1de5e8506 Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Wed, 15 Feb 2012 11:58:15 -0500
Subject: [PATCH 09/10] Firefox NativeMML still doesn't get the width right
 even if we set it properly on the <math>, so set it on the containing <span>
 instead.  Resolves issue #88 again (and finally, I hope).

---
 config/AM_HTMLorMML-full.js          |  2 +-
 config/Accessible-full.js            |  2 +-
 config/MML_HTMLorMML-full.js         |  2 +-
 config/TeX-AMS-MML_HTMLorMML-full.js |  2 +-
 config/TeX-MML-AM_HTMLorMML-full.js  |  2 +-
 jax/output/NativeMML/jax.js          |  2 +-
 unpacked/jax/output/NativeMML/jax.js | 14 ++++----------
 7 files changed, 10 insertions(+), 16 deletions(-)

diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js
index 41ed00eb0..03f30c2c6 100644
--- a/config/AM_HTMLorMML-full.js
+++ b/config/AM_HTMLorMML-full.js
@@ -55,7 +55,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var
 
 (function(ae){var j;var Z=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ag){if(ag.parent){ag.parent.removeChild(ag)}if(this.lastChild){this.lastChild.nextSibling=ag}if(!this.firstChild){this.firstChild=ag}this.childNodes.push(ag);ag.parent=this;this.lastChild=ag;return ag},removeChild:function(ai){for(var ah=0,ag=this.childNodes.length;ah<ag;ah++){if(this.childNodes[ah]===ai){break}}if(ah===ag){return}this.childNodes.splice(ah,1);if(ai===this.firstChild){this.firstChild=ai.nextSibling}if(ai===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ah){this.childNodes[ah-1].nextSibling=ai.nextSibling}ai.nextSibling=ai.parent=null;return ai},replaceChild:function(aj,ah){for(var ai=0,ag=this.childNodes.length;ai<ag;ai++){if(this.childNodes[ai]===ah){break}}if(ai){this.childNodes[ai-1].nextSibling=aj}else{this.firstChild=aj}if(ai>=ag-1){this.lastChild=aj}this.childNodes[ai]=aj;aj.nextSibling=ah.nextSibling;ah.nextSibling=ah.parent=null;return ah},toString:function(){return"{"+this.childNodes.join("")+"}"}});var D=function(){j=MathJax.ElementJax.mml;var ag=j.mbase.prototype.Init;j.mbase.Augment({firstChild:null,lastChild:null,nodeValue:"",nextSibling:null,Init:function(){var ah=ag.apply(this,arguments)||this;ah.childNodes=ah.data;ah.nodeName=ah.type;return ah},appendChild:function(ak){if(ak.parent){ak.parent.removeChild(ak)}var ai=arguments;if(ak.isa(Z)){ai=ak.childNodes;ak.data=ak.childNodes=[];ak.firstChild=ak.lastChild=null}for(var aj=0,ah=ai.length;aj<ah;aj++){ak=ai[aj];if(this.lastChild){this.lastChild.nextSibling=ak}if(!this.firstChild){this.firstChild=ak}this.Append(ak);this.lastChild=ak;this.nodeValue+=ak.nodeValue}return ak},removeChild:function(aj){for(var ai=0,ah=this.childNodes.length;ai<ah;ai++){if(this.childNodes[ai]===aj){break}}if(ai===ah){return}this.childNodes.splice(ai,1);if(aj===this.firstChild){this.firstChild=aj.nextSibling}if(aj===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ai){this.childNodes[ai-1].nextSibling=aj.nextSibling}this.nodeValue="";for(ai=0,ah=this.childNodes.length;ai<ah;ai++){this.nodeValue+=this.childNodes[ai].nodeValue}aj.nextSibling=aj.parent=null;return aj},replaceChild:function(ak,ai){for(var aj=0,ah=this.childNodes.length;aj<ah;aj++){if(this.childNodes[aj]===ai){break}}if(aj){this.childNodes[aj-1].nextSibling=ak}else{this.firstChild=ak}if(aj>=ah-1){this.lastChild=ak}this.SetData(aj,ak);ak.nextSibling=ai.nextSibling;this.nodeValue="";for(aj=0,ah=this.childNodes.length;aj<ah;aj++){this.nodeValue+=this.childNodes[aj].nodeValue}ai.nextSibling=ai.parent=null;return 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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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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 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 (function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/Accessible-full.js b/config/Accessible-full.js
index bc71c3bc4..9cab79b7e 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -88,7 +88,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
index f0c344b59..2dc7aa700 100644
--- a/config/MML_HTMLorMML-full.js
+++ b/config/MML_HTMLorMML-full.js
@@ -55,7 +55,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
index a4d58d1bb..1f2fb39f4 100644
--- a/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -76,7 +76,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",f]);return a.merror("Unknown node type: "+f)}else{e=a[f]()}}this.AddAttributes(e,g);this.CheckClass(e,h);this.AddChildren(e,g);if(b.config.useMathMLspacing){e.useMMLspacing=8}return e},TeXAtom:function(e){var d=a.TeXAtom().With({texClass:a.TEXCLASS[e]});if(d.texClass===a.TEXCLASS.OP){d.movesupsub=d.movablelimits=true}return d},CheckClass:function(e,g){g=g.split(/ /);var h=[];for(var f=0,d=g.length;f<d;f++){if(g[f].substr(0,4)==="MJX-"){if(g[f]==="MJX-arrow"){e.arrow=true}else{if(g[f]==="MJX-variant"){e.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(g[f].substr(0,11)!=="MJX-TeXAtom"){e.mathvariant=g[f].substr(3);if(e.mathvariant==="-tex-caligraphic-bold"||e.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{h.push(g[f])}}if(h.length){e["class"]=h.join(" ")}else{delete e["class"]}},AddAttributes:function(f,h){f.attr={};f.attrNames=[];for(var g=0,d=h.attributes.length;g<d;g++){var e=h.attributes[g].name;if(e=="xlink:href"){e="href"}if(e.match(/:/)){continue}var j=h.attributes[g].value;if(j.toLowerCase()==="true"){j=true}else{if(j.toLowerCase()==="false"){j=false}}if(f.defaults[e]!=null||a.copyAttributes[e]){f[e]=j}else{f.attr[e]=j}f.attrNames.push(e)}},AddChildren:function(f,h){for(var g=0,d=h.childNodes.length;g<d;g++){var k=h.childNodes[g];if(k.nodeName==="#comment"){continue}if(k.nodeName==="#text"){if(f.isToken&&!f.mmlSelfClosing){var j=this.trimSpace(k.nodeValue);j=j.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);f.Append(a.chars(j))}else{if(k.nodeValue.match(/\S/)){b.Error("Unexpected text node: '"+k.nodeValue+"'")}}}else{if(f.type==="annotation-xml"){f.Append(a.xml(k))}else{var e=this.MakeMML(k);f.Append(e);if(e.mmlSelfClosing&&e.data.length){f.Append.apply(f,e.data);e.data=[]}}}}},trimSpace:function(d){return d.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(f,e){if(e.match(/^(lt|amp|quot)$/)){return f}if(b.Parse.Entity[e]){return b.Parse.Entity[e]}var g=e.charAt(0).toLowerCase();var d=e.match(/^[a-zA-Z](fr|scr|opf)$/);if(d){g=d[1]}if(!b.Parse.loaded[g]){b.Parse.loaded[g]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(b.entityDir+"/"+g+".js"))}return f}},{loaded:[]});b.Augment({sourceMenuTitle:"Original MathML",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(d){if(!this.ParseXML){this.ParseXML=this.createParser()}var e,g,h={script:d};if(d.firstChild&&d.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){h.math=d.firstChild;this.prefilterHooks.Execute(h);g=h.math}else{g=MathJax.HTML.getScript(d);if(c.isMSIE){g=g.replace(/(&nbsp;)+$/,"")}h.math=g;this.prefilterHooks.Execute(h);g=h.math}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}h.math=a(e);this.postfilterHooks.Execute(h);return h.math},prefilterMath:function(e,d){return e},prefilterMathML:function(e,d){return e},formatError:function(g,f,d){var e=g.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",e,f,d]);return a.merror(e)},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f<d&&!this.parser;f++){try{this.parser=new ActiveXObject(e[f])}catch(g){}}if(!this.parser){alert("MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var 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Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
index 66ff45b5e..0e13f9535 100644
--- a/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/config/TeX-MML-AM_HTMLorMML-full.js
@@ -85,7 +85,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
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ai=0,ag=this.childNodes.length;ai<ag;ai++){if(this.childNodes[ai]===ah){break}}if(ai){this.childNodes[ai-1].nextSibling=aj}else{this.firstChild=aj}if(ai>=ag-1){this.lastChild=aj}this.childNodes[ai]=aj;aj.nextSibling=ah.nextSibling;ah.nextSibling=ah.parent=null;return ah},toString:function(){return"{"+this.childNodes.join("")+"}"}});var D=function(){j=MathJax.ElementJax.mml;var ag=j.mbase.prototype.Init;j.mbase.Augment({firstChild:null,lastChild:null,nodeValue:"",nextSibling:null,Init:function(){var ah=ag.apply(this,arguments)||this;ah.childNodes=ah.data;ah.nodeName=ah.type;return ah},appendChild:function(ak){if(ak.parent){ak.parent.removeChild(ak)}var ai=arguments;if(ak.isa(Z)){ai=ak.childNodes;ak.data=ak.childNodes=[];ak.firstChild=ak.lastChild=null}for(var aj=0,ah=ai.length;aj<ah;aj++){ak=ai[aj];if(this.lastChild){this.lastChild.nextSibling=ak}if(!this.firstChild){this.firstChild=ak}this.Append(ak);this.lastChild=ak;this.nodeValue+=ak.nodeValue}return ak},removeChild:function(aj){for(var ai=0,ah=this.childNodes.length;ai<ah;ai++){if(this.childNodes[ai]===aj){break}}if(ai===ah){return}this.childNodes.splice(ai,1);if(aj===this.firstChild){this.firstChild=aj.nextSibling}if(aj===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ai){this.childNodes[ai-1].nextSibling=aj.nextSibling}this.nodeValue="";for(ai=0,ah=this.childNodes.length;ai<ah;ai++){this.nodeValue+=this.childNodes[ai].nodeValue}aj.nextSibling=aj.parent=null;return aj},replaceChild:function(ak,ai){for(var aj=0,ah=this.childNodes.length;aj<ah;aj++){if(this.childNodes[aj]===ai){break}}if(aj){this.childNodes[aj-1].nextSibling=ak}else{this.firstChild=ak}if(aj>=ah-1){this.lastChild=ak}this.SetData(aj,ak);ak.nextSibling=ai.nextSibling;this.nodeValue="";for(aj=0,ah=this.childNodes.length;aj<ah;aj++){this.nodeValue+=this.childNodes[aj].nodeValue}ai.nextSibling=ai.parent=null;return 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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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/jax/output/NativeMML/jax.js b/jax/output/NativeMML/jax.js
index 475d44fb0..3eea12ec9 100644
--- a/jax/output/NativeMML/jax.js
+++ b/jax/output/NativeMML/jax.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-(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"}})}if(!this.require){this.require=[]}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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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);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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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+(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"}})}if(!this.require){this.require=[]}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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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);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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type),q=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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);
 
diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js
index 42b1ac103..f8cb57347 100644
--- a/unpacked/jax/output/NativeMML/jax.js
+++ b/unpacked/jax/output/NativeMML/jax.js
@@ -573,18 +573,12 @@
         }
         parent.appendChild(math);
         //
-        //  Firefox can't get the width of <math> elements right, so
+        //  Firefox can't seem to get the width of <math> elements right, so
         //  use an <mrow> to get the actual width and set the style on the 
-        //  <math> element to match.
+        //  parent element to match.  Even if we set the <math> width properly,
+        //  it doesn't seem to propagate up to the <span> correctly.
         //
-        if (nMML.widthBug && math.scrollWidth < math.firstChild.scrollWidth) {
-          var style = "width:"+math.firstChild.scrollWidth+"px";
-          if (this.style) {
-            if (this.style.match(/(^|;| )width:/)) {style = this.style}
-              else {style += "; "+this.style}
-          }
-          math.setAttribute("style",style);
-        }
+        if (nMML.widthBug) {parent.style.width = math.firstChild.scrollWidth+"px"}
       }
     });
 

From 104775c795d9ad190eef057439120d13e64ff252 Mon Sep 17 00:00:00 2001
From: "Davide P. Cervone" <dpvc@union.edu>
Date: Wed, 15 Feb 2012 17:03:45 -0500
Subject: [PATCH 10/10] Make font test against default font also include
 height, not just width, to help avoid the case where the test string is the
 same in the default font as the web font.  Also, update the test strings to
 include characters that should help distinguish them better.  Update the data
 files to the current versions of the fonts (lots of tiny differences, but
 nothing crucial)

---
 config/AM_HTMLorMML-full.js                   |   2 +-
 config/Accessible-full.js                     |   2 +-
 config/MML_HTMLorMML-full.js                  |   2 +-
 config/TeX-AMS-MML_HTMLorMML-full.js          |   2 +-
 config/TeX-AMS_HTML-full.js                   |   2 +-
 config/TeX-MML-AM_HTMLorMML-full.js           |   2 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js  |   2 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js  |   2 +-
 .../fonts/TeX/AMS/Regular/BoxDrawing.js       |   2 +-
 .../fonts/TeX/AMS/Regular/Dingbats.js         |   2 +-
 .../fonts/TeX/AMS/Regular/GeometricShapes.js  |   2 +-
 .../fonts/TeX/AMS/Regular/Latin1Supplement.js |   2 +-
 .../TeX/AMS/Regular/LetterlikeSymbols.js      |   2 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/Main.js    |   2 +-
 .../fonts/TeX/AMS/Regular/MathOperators.js    |   2 +-
 .../fonts/TeX/AMS/Regular/MiscMathSymbolsB.js |   2 +-
 .../fonts/TeX/AMS/Regular/MiscSymbols.js      |   2 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/PUA.js     |   2 +-
 .../TeX/AMS/Regular/SuppMathOperators.js      |   2 +-
 .../fonts/TeX/Caligraphic/Bold/Main.js        |   2 +-
 .../fonts/TeX/Caligraphic/Regular/Main.js     |   2 +-
 .../fonts/TeX/Fraktur/Bold/BasicLatin.js      |   2 +-
 .../fonts/TeX/Fraktur/Regular/BasicLatin.js   |   2 +-
 .../HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js |   2 +-
 .../HTML-CSS/fonts/TeX/Greek/Bold/Main.js     |   2 +-
 .../fonts/TeX/Greek/BoldItalic/Main.js        |   2 +-
 .../HTML-CSS/fonts/TeX/Greek/Italic/Main.js   |   2 +-
 .../HTML-CSS/fonts/TeX/Greek/Regular/Main.js  |   2 +-
 .../HTML-CSS/fonts/TeX/Main/Bold/Arrows.js    |   2 +-
 .../fonts/TeX/Main/Bold/CombDiacritMarks.js   |   2 +-
 .../fonts/TeX/Main/Bold/GeneralPunctuation.js |   2 +-
 .../fonts/TeX/Main/Bold/GeometricShapes.js    |   2 +-
 .../fonts/TeX/Main/Bold/Latin1Supplement.js   |   2 +-
 .../fonts/TeX/Main/Bold/LatinExtendedA.js     |   2 +-
 .../fonts/TeX/Main/Bold/LetterlikeSymbols.js  |   2 +-
 .../HTML-CSS/fonts/TeX/Main/Bold/Main.js      |   2 +-
 .../fonts/TeX/Main/Bold/MathOperators.js      |   2 +-
 .../fonts/TeX/Main/Bold/MiscSymbols.js        |   2 +-
 .../fonts/TeX/Main/Bold/MiscTechnical.js      |   2 +-
 .../fonts/TeX/Main/Bold/SpacingModLetters.js  |   2 +-
 .../fonts/TeX/Main/Bold/SuppMathOperators.js  |   2 +-
 .../TeX/Main/Bold/SupplementalArrowsA.js      |   2 +-
 .../fonts/TeX/Main/Italic/CombDiacritMarks.js |   2 +-
 .../TeX/Main/Italic/GeneralPunctuation.js     |   2 +-
 .../HTML-CSS/fonts/TeX/Main/Italic/Main.js    |   2 +-
 .../HTML-CSS/fonts/TeX/Main/Regular/Main.js   |   2 +-
 .../fonts/TeX/Main/Regular/MiscSymbols.js     |   2 +-
 .../fonts/TeX/Math/BoldItalic/Main.js         |   2 +-
 .../HTML-CSS/fonts/TeX/Math/Italic/Main.js    |   2 +-
 .../fonts/TeX/SansSerif/Bold/BasicLatin.js    |   2 +-
 .../TeX/SansSerif/Bold/CombDiacritMarks.js    |   2 +-
 .../HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js |   2 +-
 .../fonts/TeX/SansSerif/Bold/Other.js         |   2 +-
 .../fonts/TeX/SansSerif/Italic/BasicLatin.js  |   2 +-
 .../TeX/SansSerif/Italic/CombDiacritMarks.js  |   2 +-
 .../fonts/TeX/SansSerif/Italic/Main.js        |   2 +-
 .../fonts/TeX/SansSerif/Regular/BasicLatin.js |   2 +-
 .../fonts/TeX/SansSerif/Regular/Main.js       |   2 +-
 .../fonts/TeX/SansSerif/Regular/Other.js      |   2 +-
 .../fonts/TeX/Script/Regular/BasicLatin.js    |   2 +-
 .../HTML-CSS/fonts/TeX/Size1/Regular/Main.js  |   2 +-
 .../HTML-CSS/fonts/TeX/Size2/Regular/Main.js  |   2 +-
 .../HTML-CSS/fonts/TeX/Size3/Regular/Main.js  |   2 +-
 .../HTML-CSS/fonts/TeX/Size4/Regular/Main.js  |   2 +-
 .../TeX/Typewriter/Regular/BasicLatin.js      |   2 +-
 .../Typewriter/Regular/CombDiacritMarks.js    |   2 +-
 .../fonts/TeX/Typewriter/Regular/Main.js      |   2 +-
 .../fonts/TeX/Typewriter/Regular/Other.js     |   2 +-
 .../fonts/TeX/WinChrome/Regular/Main.js       |   2 +-
 .../HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js  |   2 +-
 .../HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js |   2 +-
 .../HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js |   2 +-
 jax/output/HTML-CSS/fonts/TeX/fontdata.js     |   2 +-
 jax/output/HTML-CSS/jax.js                    |   2 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js  |  22 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js  |  20 +-
 .../fonts/TeX/AMS/Regular/BoxDrawing.js       |  10 +-
 .../fonts/TeX/AMS/Regular/CombDiacritMarks.js |   2 +-
 .../fonts/TeX/AMS/Regular/Dingbats.js         |   4 +-
 .../fonts/TeX/AMS/Regular/EnclosedAlphanum.js |   2 +-
 .../TeX/AMS/Regular/GeneralPunctuation.js     |   2 +-
 .../fonts/TeX/AMS/Regular/GeometricShapes.js  |   8 +-
 .../fonts/TeX/AMS/Regular/GreekAndCoptic.js   |   2 +-
 .../fonts/TeX/AMS/Regular/Latin1Supplement.js |   6 +-
 .../fonts/TeX/AMS/Regular/LatinExtendedA.js   |   2 +-
 .../TeX/AMS/Regular/LetterlikeSymbols.js      |   8 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/Main.js    |   4 +-
 .../fonts/TeX/AMS/Regular/MathOperators.js    |  90 +--
 .../fonts/TeX/AMS/Regular/MiscMathSymbolsB.js |   4 +-
 .../fonts/TeX/AMS/Regular/MiscSymbols.js      |   4 +-
 .../fonts/TeX/AMS/Regular/MiscTechnical.js    |   2 +-
 .../HTML-CSS/fonts/TeX/AMS/Regular/PUA.js     |  34 +-
 .../TeX/AMS/Regular/SpacingModLetters.js      |   2 +-
 .../TeX/AMS/Regular/SuppMathOperators.js      |  26 +-
 .../fonts/TeX/Caligraphic/Bold/Main.js        |  46 +-
 .../fonts/TeX/Caligraphic/Regular/Main.js     |  46 +-
 .../fonts/TeX/Fraktur/Bold/BasicLatin.js      |  42 +-
 .../HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js   |   2 +-
 .../HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js  |   2 +-
 .../HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js    |  16 +-
 .../fonts/TeX/Fraktur/Regular/BasicLatin.js   |  38 +-
 .../fonts/TeX/Fraktur/Regular/Main.js         |   2 +-
 .../fonts/TeX/Fraktur/Regular/Other.js        |   2 +-
 .../HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js |  18 +-
 .../HTML-CSS/fonts/TeX/Greek/Bold/Main.js     |   4 +-
 .../fonts/TeX/Greek/BoldItalic/Main.js        |   4 +-
 .../HTML-CSS/fonts/TeX/Greek/Italic/Main.js   |   4 +-
 .../HTML-CSS/fonts/TeX/Greek/Regular/Main.js  |   4 +-
 .../HTML-CSS/fonts/TeX/Main/Bold/Arrows.js    |  38 +-
 .../fonts/TeX/Main/Bold/CombDiacritMarks.js   |   6 +-
 .../TeX/Main/Bold/CombDiactForSymbols.js      |   2 +-
 .../fonts/TeX/Main/Bold/GeneralPunctuation.js |   6 +-
 .../fonts/TeX/Main/Bold/GeometricShapes.js    |   8 +-
 .../fonts/TeX/Main/Bold/Latin1Supplement.js   |   8 +-
 .../fonts/TeX/Main/Bold/LatinExtendedA.js     |   4 +-
 .../fonts/TeX/Main/Bold/LatinExtendedB.js     |   2 +-
 .../fonts/TeX/Main/Bold/LetterlikeSymbols.js  |  12 +-
 .../HTML-CSS/fonts/TeX/Main/Bold/Main.js      |  74 +-
 .../fonts/TeX/Main/Bold/MathOperators.js      |  36 +-
 .../fonts/TeX/Main/Bold/MiscMathSymbolsA.js   |   2 +-
 .../fonts/TeX/Main/Bold/MiscSymbols.js        |  12 +-
 .../fonts/TeX/Main/Bold/MiscTechnical.js      |   6 +-
 .../fonts/TeX/Main/Bold/SpacingModLetters.js  |   6 +-
 .../fonts/TeX/Main/Bold/SuppMathOperators.js  |   6 +-
 .../TeX/Main/Bold/SupplementalArrowsA.js      |  16 +-
 .../fonts/TeX/Main/Italic/CombDiacritMarks.js |   8 +-
 .../TeX/Main/Italic/GeneralPunctuation.js     |   6 +-
 .../fonts/TeX/Main/Italic/Latin1Supplement.js |   2 +-
 .../TeX/Main/Italic/LetterlikeSymbols.js      |   2 +-
 .../HTML-CSS/fonts/TeX/Main/Italic/Main.js    | 100 +--
 .../TeX/Main/Regular/CombDiacritMarks.js      |   2 +-
 .../fonts/TeX/Main/Regular/GeometricShapes.js |   2 +-
 .../HTML-CSS/fonts/TeX/Main/Regular/Main.js   | 236 +++----
 .../fonts/TeX/Main/Regular/MiscSymbols.js     |  12 +-
 .../TeX/Main/Regular/SpacingModLetters.js     |   2 +-
 .../fonts/TeX/Math/BoldItalic/Main.js         | 112 +--
 .../HTML-CSS/fonts/TeX/Math/Italic/Main.js    | 100 +--
 .../fonts/TeX/SansSerif/Bold/BasicLatin.js    | 124 ++--
 .../TeX/SansSerif/Bold/CombDiacritMarks.js    |  20 +-
 .../HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js |   4 +-
 .../fonts/TeX/SansSerif/Bold/Other.js         |  34 +-
 .../fonts/TeX/SansSerif/Italic/BasicLatin.js  |  24 +-
 .../TeX/SansSerif/Italic/CombDiacritMarks.js  |   4 +-
 .../fonts/TeX/SansSerif/Italic/Main.js        |   4 +-
 .../fonts/TeX/SansSerif/Italic/Other.js       |   2 +-
 .../fonts/TeX/SansSerif/Regular/BasicLatin.js |  34 +-
 .../TeX/SansSerif/Regular/CombDiacritMarks.js |   2 +-
 .../fonts/TeX/SansSerif/Regular/Main.js       |   4 +-
 .../fonts/TeX/SansSerif/Regular/Other.js      |   4 +-
 .../fonts/TeX/Script/Regular/BasicLatin.js    |  24 +-
 .../HTML-CSS/fonts/TeX/Script/Regular/Main.js |   2 +-
 .../fonts/TeX/Script/Regular/Other.js         |   2 +-
 .../HTML-CSS/fonts/TeX/Size1/Regular/Main.js  |  16 +-
 .../HTML-CSS/fonts/TeX/Size2/Regular/Main.js  |  12 +-
 .../HTML-CSS/fonts/TeX/Size3/Regular/Main.js  |  10 +-
 .../HTML-CSS/fonts/TeX/Size4/Regular/Main.js  |  44 +-
 .../TeX/Typewriter/Regular/BasicLatin.js      | 134 ++--
 .../Typewriter/Regular/CombDiacritMarks.js    |  12 +-
 .../fonts/TeX/Typewriter/Regular/Main.js      |   4 +-
 .../fonts/TeX/Typewriter/Regular/Other.js     |  22 +-
 .../fonts/TeX/WinChrome/Regular/Main.js       |  16 +-
 .../HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js  |  60 +-
 .../HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js | 112 +--
 .../HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js | 142 ++--
 .../jax/output/HTML-CSS/fonts/TeX/fontdata.js | 640 +++++++++---------
 unpacked/jax/output/HTML-CSS/jax.js           |  13 +-
 166 files changed, 1493 insertions(+), 1492 deletions(-)

diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js
index 03f30c2c6..d566870ae 100644
--- a/config/AM_HTMLorMML-full.js
+++ b/config/AM_HTMLorMML-full.js
@@ -57,7 +57,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var
 
 (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"}})}if(!this.require){this.require=[]}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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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);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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type),q=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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null},testCollection:function(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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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/Accessible-full.js b/config/Accessible-full.js
index 9cab79b7e..a8fbc6dea 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -90,7 +90,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
 (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"}})}if(!this.require){this.require=[]}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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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);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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type),q=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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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 2dc7aa700..9e5158347 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. 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false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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);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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type),q=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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null},testCollection:function(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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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 1f2fb39f4..b42ad305d 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:"2.0"};MathJax.Hub.Register.Startup
 
 (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"}})}if(!this.require){this.require=[]}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{if(!b.Browser.hasMathPlayer){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("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}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(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.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"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,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);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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(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(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","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.math.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type),q=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
index 0b287c775..eafdfb640 100644
--- a/config/TeX-AMS_HTML-full.js
+++ b/config/TeX-AMS_HTML-full.js
@@ -58,7 +58,7 @@ MathJax.Extension["TeX/AMSmath"]={version:"2.0",number:0,startNumber:0,labels:{}
 
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b=a.FONTDATA.VARIANT;if(a.fontInUse==="TeX"){b["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}};if(a.msieIE6){MathJax.Hub.Insert(b["-TeX-variant"].remap,{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]})}}if(a.fontInUse==="STIX"){MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var 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.Register.StartupHook("SVG Jax Ready",function(){var b=MathJax.OutputJax.SVG;var a=b.FONTDATA.VARIANT;a["-TeX-variant"]={fonts:["MathJax_AMS","MathJax_Main","MathJax_Size1"],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353}}});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 
-(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var 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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 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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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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-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
index 0e13f9535..c742968ef 100644
--- a/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/config/TeX-MML-AM_HTMLorMML-full.js
@@ -87,7 +87,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
 
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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 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(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 r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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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(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){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="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"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+k+"/MathJax_AMS-Regular.otf')"},"@font-face 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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(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);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;j.widthBug=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);
 
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this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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null},testCollection:function(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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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/fonts/TeX/AMS/Regular/Arrows.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
index 81c39cc07..2f4f0f7f8 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8592:[438,-63,500,64,422],8594:[438,-63,500,57,417],8602:[437,-60,1000,56,942],8603:[437,-60,1000,54,942],8606:[417,-83,1000,56,944],8608:[417,-83,1000,55,943],8610:[417,-83,1111,56,1031],8611:[417,-83,1111,79,1054],8619:[575,42,1000,56,964],8620:[575,42,1000,35,943],8621:[417,-83,1389,57,1331],8622:[437,-60,1000,56,942],8624:[722,0,500,56,444],8625:[722,0,500,55,443],8630:[462,1,1000,17,950],8631:[460,1,1000,46,982],8634:[650,83,778,55,722],8635:[650,83,778,56,721],8638:[694,194,417,188,375],8639:[694,194,417,41,228],8642:[694,194,417,188,375],8643:[694,194,417,41,228],8644:[667,0,1000,55,944],8646:[667,0,1000,55,944],8647:[583,83,1000,55,944],8648:[694,194,833,83,749],8649:[583,83,1000,55,944],8650:[694,194,833,83,749],8651:[514,14,1000,55,944],8652:[514,14,1000,55,944],8653:[534,35,1000,54,942],8654:[534,37,1000,32,965],8655:[534,35,1000,54,943],8666:[611,111,1000,76,944],8667:[611,111,1000,55,923],8669:[417,-83,1000,56,943],8672:[438,-63,1334,64,1252],8674:[438,-63,1334,83,1251]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Arrows.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8592:[437,-64,500,64,422],8594:[437,-64,500,58,417],8602:[437,-60,1000,56,942],8603:[437,-60,1000,54,942],8606:[417,-83,1000,56,944],8608:[417,-83,1000,55,943],8610:[417,-83,1111,56,1031],8611:[417,-83,1111,79,1054],8619:[575,41,1000,56,964],8620:[575,41,1000,35,943],8621:[417,-83,1389,57,1331],8622:[437,-60,1000,56,942],8624:[722,0,500,56,444],8625:[722,0,500,55,443],8630:[461,1,1000,17,950],8631:[460,1,1000,46,982],8634:[650,83,778,56,722],8635:[650,83,778,56,721],8638:[694,194,417,188,375],8639:[694,194,417,41,228],8642:[694,194,417,188,375],8643:[694,194,417,41,228],8644:[667,0,1000,55,944],8646:[667,0,1000,55,944],8647:[583,83,1000,55,944],8648:[694,193,833,83,749],8649:[583,83,1000,55,944],8650:[694,194,833,83,749],8651:[514,14,1000,55,944],8652:[514,14,1000,55,944],8653:[534,35,1000,54,942],8654:[534,37,1000,32,965],8655:[534,35,1000,55,943],8666:[611,111,1000,76,944],8667:[611,111,1000,55,923],8669:[417,-83,1000,56,943],8672:[437,-64,1334,64,1251],8674:[437,-64,1334,84,1251]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Arrows.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
index 560158f15..d1f1243ec 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{32:[0,0,250,0,0],65:[701,2,722,16,703],66:[683,1,667,11,620],67:[702,19,722,39,684],68:[683,1,722,16,688],69:[683,1,667,12,640],70:[683,1,611,12,585],71:[702,19,778,39,749],72:[683,1,778,14,762],73:[683,1,389,20,369],74:[683,77,500,6,478],75:[684,1,778,22,768],76:[683,1,667,12,640],77:[684,1,944,17,926],78:[684,20,722,20,702],79:[701,19,778,34,742],80:[683,1,611,16,597],81:[701,181,778,34,742],82:[683,1,722,16,705],83:[702,12,556,28,528],84:[683,1,667,33,635],85:[683,19,722,16,709],86:[684,20,722,0,719],87:[684,19,1000,5,994],88:[684,1,722,16,705],89:[683,1,722,16,704],90:[683,1,667,29,635],107:[684,2,556,17,535]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/BBBold.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{32:[0,0,250,0,0],65:[701,1,722,17,703],66:[683,1,667,11,620],67:[702,19,722,39,684],68:[683,1,722,16,688],69:[683,1,667,12,640],70:[683,1,611,12,584],71:[702,19,778,39,749],72:[683,1,778,14,762],73:[683,1,389,20,369],74:[683,77,500,6,478],75:[683,1,778,22,768],76:[683,1,667,12,640],77:[683,1,944,17,926],78:[683,20,722,20,702],79:[701,19,778,34,742],80:[683,1,611,16,597],81:[701,181,778,34,742],82:[683,1,722,16,705],83:[702,12,556,28,528],84:[683,1,667,33,635],85:[683,19,722,16,709],86:[683,20,722,0,719],87:[683,19,1000,5,994],88:[683,1,722,16,705],89:[683,1,722,16,704],90:[683,1,667,29,635],107:[683,1,556,17,534]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/BBBold.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
index 548aa6dd0..1c541c4e4 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9484:[694,-306,500,54,444],9488:[695,-306,500,55,444],9492:[367,23,500,54,444],9496:[366,22,500,55,445],9585:[694,195,889,0,860],9586:[694,195,889,0,860]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/BoxDrawing.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9484:[694,-306,500,55,444],9488:[694,-306,500,55,444],9492:[366,22,500,55,444],9496:[366,22,500,55,444],9585:[694,195,889,0,860],9586:[694,195,889,0,860]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/BoxDrawing.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
index bd72d8586..74afac6f8 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10003:[707,35,833,84,749],10016:[716,22,833,48,786]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Dingbats.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10003:[706,34,833,84,749],10016:[716,22,833,48,786]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Dingbats.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
index 4b641a549..e91499d8d 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9632:[689,0,778,55,722],9633:[689,0,778,55,722],9650:[575,20,722,84,637],9651:[575,20,722,84,637],9654:[539,41,778,83,694],9660:[576,20,722,84,638],9661:[576,20,722,84,638],9664:[539,41,778,83,694],9674:[716,132,667,56,612]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/GeometricShapes.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9632:[689,0,778,55,722],9633:[689,0,778,55,722],9650:[575,20,722,84,637],9651:[575,20,722,84,637],9654:[539,41,778,83,694],9660:[576,19,722,84,637],9661:[576,19,722,84,637],9664:[539,41,778,83,694],9674:[716,132,667,56,611]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/GeometricShapes.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
index 9919e56e3..196265263 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{160:[0,0,250,0,0],165:[684,0,750,11,738],174:[709,175,947,32,915],240:[749,21,556,42,510]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Latin1Supplement.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{160:[0,0,250,0,0],165:[683,0,750,11,738],174:[709,175,947,32,915],240:[749,21,556,42,509]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Latin1Supplement.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
index ce84c05e2..f39d6e5bf 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8463:[695,13,540,42,562],8487:[685,22,722,44,675],8498:[695,1,556,55,497],8502:[763,21,667,-22,687],8503:[764,43,444,-22,422],8504:[764,43,667,54,640],8513:[706,23,639,37,577]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/LetterlikeSymbols.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8463:[695,13,540,42,562],8487:[684,22,722,44,675],8498:[695,1,556,55,497],8502:[763,21,667,-22,687],8503:[764,43,444,-22,421],8504:[764,43,667,54,640],8513:[705,23,639,37,577]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/LetterlikeSymbols.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
index 50c90a569..0d36e7a3a 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS={directory:"AMS/Regular",family:"MathJax_AMS",testString:"MATHJAX AMS",Ranges:[[0,127,"BBBold"],[128,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[9984,10175,"Dingbats"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[57344,63743,"PUA"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_AMS"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS={directory:"AMS/Regular",family:"MathJax_AMS",testString:"MATHJAX AMS \u02C6",Ranges:[[0,127,"BBBold"],[128,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[9984,10175,"Dingbats"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[57344,63743,"PUA"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_AMS"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
index 276b8b1fa..d976dc74b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
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+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{8705:[846,21,500,56,444],8708:[860,166,556,55,497],8709:[587,3,778,54,720],8717:[440,1,429,102,456],8722:[270,-230,500,84,417],8724:[766,93,778,57,722],8726:[430,23,778,91,685],8733:[472,-28,778,56,722],8736:[694,0,722,55,666],8737:[714,20,722,55,666],8738:[551,51,722,55,666],8739:[430,23,222,91,131],8740:[750,252,278,-21,297],8741:[431,23,389,55,331],8742:[750,250,500,-20,518],8756:[471,82,667,24,643],8757:[471,82,667,23,643],8764:[365,-132,778,55,719],8765:[367,-133,778,56,722],8769:[467,-32,778,55,719],8770:[463,-34,778,55,720],8774:[652,155,778,54,720],8776:[481,-50,778,55,719],8778:[579,39,778,51,725],8782:[492,-8,778,56,722],8783:[492,-133,778,56,722],8785:[609,108,778,56,722],8786:[601,101,778,15,762],8787:[601,102,778,14,762],8790:[367,-133,778,56,722],8791:[721,-133,778,56,722],8796:[859,-133,778,56,723],8806:[753,175,778,83,694],8807:[753,175,778,83,694],8808:[752,286,778,82,693],8809:[752,286,778,82,693],8812:[750,250,500,74,425],8814:[708,209,778,82,693],8815:[708,209,778,82,693],8816:[801,303,778,82,694],8817:[801,303,778,82,694],8818:[732,228,778,56,722],8819:[732,228,778,56,722],8822:[681,253,778,44,734],8823:[681,253,778,83,694],8828:[580,153,778,83,694],8829:[580,154,778,82,694],8830:[732,228,778,56,722],8831:[732,228,778,56,722],8832:[705,208,778,82,693],8833:[705,208,778,82,693],8840:[801,303,778,83,693],8841:[801,303,778,82,691],8842:[635,241,778,84,693],8843:[635,241,778,82,691],8847:[539,41,778,83,694],8848:[539,41,778,64,714],8858:[582,82,778,57,721],8859:[582,82,778,57,721],8861:[582,82,778,57,721],8862:[689,0,778,55,722],8863:[689,0,778,55,722],8864:[689,0,778,55,722],8865:[689,0,778,55,722],8872:[694,0,611,55,555],8873:[694,0,722,55,666],8874:[694,0,889,55,833],8876:[695,1,611,-55,554],8877:[695,1,611,-55,554],8878:[695,1,722,-55,665],8879:[695,1,722,-55,665],8882:[539,41,778,83,694],8883:[539,41,778,83,694],8884:[636,138,778,83,694],8885:[636,138,778,83,694],8888:[408,-92,1111,55,1055],8890:[431,212,556,57,500],8891:[716,0,611,55,555],8892:[716,0,611,55,555],8901:[189,0,278,55,222],8903:[545,44,778,55,720],8905:[492,-8,778,146,628],8906:[492,-8,778,146,628],8907:[694,22,778,55,722],8908:[694,22,778,55,722],8909:[464,-36,778,56,722],8910:[578,21,760,83,676],8911:[578,22,760,83,676],8912:[540,40,778,84,694],8913:[540,40,778,83,693],8914:[598,22,667,55,611],8915:[598,22,667,55,611],8916:[736,22,667,56,611],8918:[541,41,778,82,693],8919:[541,41,778,82,693],8920:[568,67,1333,56,1277],8921:[568,67,1333,55,1277],8922:[886,386,778,83,674],8923:[886,386,778,83,674],8926:[734,0,778,83,694],8927:[734,0,778,82,694],8928:[801,303,778,82,693],8929:[801,303,778,82,694],8934:[730,359,778,55,719],8935:[730,359,778,55,719],8936:[730,359,778,55,719],8937:[730,359,778,55,719],8938:[706,208,778,82,693],8939:[706,208,778,82,693],8940:[802,303,778,82,693],8941:[801,303,778,82,693]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MathOperators.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
index e781fb8d1..695d40fcf 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10731:[716,132,667,56,612]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscMathSymbolsB.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10731:[716,132,667,56,611]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscMathSymbolsB.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
index 7a6329160..52389bc21 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9733:[695,111,944,49,896]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscSymbols.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{9733:[694,111,944,49,895]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/MiscSymbols.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
index 067c29945..b45987560 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{57350:[430,23,222,-20,240],57351:[431,24,389,-20,407],57352:[605,85,778,55,719],57353:[434,6,667,37,734],57356:[752,284,778,81,693],57357:[752,284,778,81,693],57358:[919,421,778,82,694],57359:[801,303,778,81,695],57360:[801,303,778,82,694],57361:[919,421,778,82,694],57366:[828,330,778,82,694],57367:[752,332,778,82,694],57368:[829,330,778,82,695],57369:[752,333,778,81,693],57370:[635,256,778,84,693],57371:[634,254,778,82,691]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/PUA.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{57350:[430,23,222,-20,240],57351:[431,24,389,-20,407],57352:[605,85,778,55,719],57353:[434,6,667,37,734],57356:[752,284,778,82,693],57357:[752,284,778,82,693],57358:[919,421,778,82,694],57359:[801,303,778,82,694],57360:[801,303,778,82,694],57361:[919,421,778,82,694],57366:[828,330,778,82,694],57367:[752,332,778,82,694],57368:[828,330,778,82,694],57369:[752,333,778,82,693],57370:[634,255,778,84,693],57371:[634,254,778,82,691]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/PUA.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
index 6b260d29b..3d08a71c5 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10846:[813,97,611,55,555],10877:[636,138,778,83,694],10878:[636,138,778,82,694],10885:[762,291,778,54,722],10886:[763,290,778,54,722],10887:[635,241,778,82,693],10888:[635,241,778,81,693],10889:[761,387,778,57,718],10890:[761,388,778,57,719],10891:[1003,463,778,83,695],10892:[1003,463,778,83,694],10901:[636,138,778,83,694],10902:[636,138,778,83,694],10933:[752,287,778,82,693],10934:[752,286,778,82,694],10935:[761,294,778,57,717],10936:[761,294,778,57,717],10937:[761,337,778,57,719],10938:[761,337,778,57,719],10949:[753,216,778,83,695],10950:[754,215,778,82,694],10955:[783,385,778,82,693],10956:[783,385,778,82,693]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/SuppMathOperators.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_AMS,{10846:[813,97,611,55,555],10877:[636,138,778,83,694],10878:[636,138,778,83,694],10885:[762,290,778,55,722],10886:[762,290,778,55,722],10887:[635,241,778,82,693],10888:[635,241,778,82,693],10889:[761,387,778,57,718],10890:[761,387,778,57,718],10891:[1003,463,778,83,694],10892:[1003,463,778,83,694],10901:[636,138,778,83,694],10902:[636,138,778,83,694],10933:[752,286,778,82,693],10934:[752,286,778,82,693],10935:[761,294,778,57,717],10936:[761,294,778,57,717],10937:[761,337,778,57,718],10938:[761,337,778,57,718],10949:[753,215,778,84,694],10950:[753,215,778,83,694],10955:[783,385,778,82,693],10956:[783,385,778,82,693]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/AMS/Regular/SuppMathOperators.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
index 2ec138c3e..fd3261a91 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Caligraphic-bold"]={directory:"Caligraphic/Bold",family:"MathJax_Caligraphic",weight:"bold",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.224,66:0.16,67:0.16,68:0.0958,69:0.128,70:0.128,71:0.128,72:0.128,73:0.0319,74:0.192,75:0.0639,76:0.16,77:0.16,78:0.0958,79:0.128,80:0.0958,81:0.128,82:0.0958,83:0.16,84:0.0319,85:0.0958,86:0.0319,87:0.0958,88:0.16,89:0.0958,90:0.16},32:[0,0,250,0,0],48:[460,17,575,46,528],49:[462,0,575,80,495],50:[460,1,575,51,518],51:[462,211,575,48,525],52:[469,194,575,31,543],53:[461,211,575,57,517],54:[660,17,575,48,526],55:[477,211,575,64,559],56:[661,17,575,48,526],57:[461,210,575,48,526],65:[752,49,921,39,989],66:[705,18,748,40,740],67:[703,20,613,20,599],68:[687,0,892,19,885],69:[703,16,607,37,627],70:[686,30,814,17,930],71:[703,114,682,50,671],72:[686,49,987,19,946],73:[686,0,642,-27,746],74:[687,114,779,53,937],75:[703,18,871,40,834],76:[703,17,788,40,751],77:[703,49,1378,38,1353],78:[841,49,937,-24,1105],79:[704,17,906,63,882],80:[687,67,810,20,846],81:[703,147,939,120,905],82:[687,18,990,20,981],83:[704,16,696,25,722],84:[720,69,644,38,947],85:[687,24,715,-11,771],86:[686,77,737,25,774],87:[686,77,1169,25,1206],88:[687,-1,817,56,906],89:[686,164,759,36,797],90:[687,1,818,46,853],160:[0,0,250,0,0]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Caligraphic-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Caligraphic/Bold/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Caligraphic-bold"]={directory:"Caligraphic/Bold",family:"MathJax_Caligraphic",weight:"bold",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.224,66:0.16,67:0.16,68:0.0958,69:0.128,70:0.128,71:0.128,72:0.128,73:0.0319,74:0.192,75:0.0639,76:0.16,77:0.16,78:0.0958,79:0.128,80:0.0958,81:0.128,82:0.0958,83:0.16,84:0.0319,85:0.0958,86:0.0319,87:0.0958,88:0.16,89:0.0958,90:0.16},32:[0,0,250,0,0],48:[460,17,575,46,528],49:[461,0,575,80,494],50:[460,0,575,51,517],51:[461,211,575,48,525],52:[469,194,575,32,542],53:[461,211,575,57,517],54:[660,17,575,48,526],55:[476,211,575,64,558],56:[661,17,575,48,526],57:[461,210,575,48,526],65:[751,49,921,39,989],66:[705,17,748,40,740],67:[703,20,613,20,599],68:[686,0,892,20,885],69:[703,16,607,37,627],70:[686,30,814,17,930],71:[703,113,682,50,671],72:[686,48,987,20,946],73:[686,0,642,-27,746],74:[686,114,779,53,937],75:[703,17,871,40,834],76:[703,17,788,41,751],77:[703,49,1378,38,1353],78:[840,49,937,-24,1105],79:[703,17,906,63,882],80:[686,67,810,20,846],81:[703,146,939,120,905],82:[686,17,990,20,981],83:[703,16,696,25,721],84:[720,69,644,38,947],85:[686,24,715,-10,771],86:[686,77,737,25,774],87:[686,77,1169,25,1206],88:[686,-1,817,56,906],89:[686,164,759,36,797],90:[686,0,818,46,853],160:[0,0,250,0,0]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Caligraphic-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Caligraphic/Bold/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
index d41d743cd..18872be52 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Caligraphic={directory:"Caligraphic/Regular",family:"MathJax_Caligraphic",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[454,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,41,456],52:[464,194,500,27,471],53:[453,217,500,50,448],54:[666,22,500,42,456],55:[463,216,500,54,485],56:[666,21,500,43,457],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,31,664],67:[705,25,527,12,533],68:[684,1,771,19,767],69:[706,22,528,30,565],70:[683,32,719,18,829],71:[704,119,595,43,599],72:[683,48,845,18,803],73:[683,1,545,-31,642],74:[683,119,678,47,839],75:[705,23,762,32,733],76:[706,22,690,32,656],77:[705,50,1201,28,1137],78:[790,50,820,-27,979],79:[705,22,796,58,777],80:[684,57,696,19,733],81:[706,131,817,114,787],82:[683,22,848,19,837],83:[705,23,606,17,642],84:[717,69,545,34,834],85:[684,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[684,1,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Caligraphic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Caligraphic/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Caligraphic={directory:"Caligraphic/Regular",family:"MathJax_Caligraphic",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[453,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,42,456],52:[464,194,500,28,471],53:[453,216,500,50,448],54:[665,22,500,42,456],55:[463,216,500,55,485],56:[666,21,500,43,456],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,32,664],67:[705,25,527,12,533],68:[683,0,771,19,766],69:[705,22,528,30,564],70:[683,32,719,18,829],71:[704,119,595,44,599],72:[683,48,845,18,803],73:[683,0,545,-30,642],74:[683,119,678,47,839],75:[705,22,762,32,732],76:[705,22,690,32,656],77:[705,50,1201,28,1137],78:[789,50,820,-27,979],79:[705,22,796,58,777],80:[683,57,696,19,733],81:[705,131,817,114,787],82:[682,22,848,19,837],83:[705,22,606,18,642],84:[717,68,545,34,833],85:[683,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[683,0,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Caligraphic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Caligraphic/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
index da547b095..563de23ac 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Fraktur-bold"],{32:[0,0,250,0,0],33:[689,12,349,107,241],34:[695,-432,254,10,232],38:[696,16,871,44,839],39:[695,-436,250,80,158],40:[737,186,459,134,347],41:[735,187,459,105,326],42:[692,-449,328,40,277],43:[598,82,893,56,837],44:[107,191,328,118,253],45:[275,-236,893,54,833],46:[102,15,328,103,237],47:[721,182,593,41,550],48:[501,12,593,42,533],49:[489,0,593,54,548],50:[491,-2,593,44,563],51:[488,193,593,31,523],52:[495,196,593,13,565],53:[481,190,593,19,518],54:[704,12,593,48,547],55:[479,197,593,54,591],56:[714,5,593,45,542],57:[487,195,593,29,549],58:[457,12,255,57,197],59:[458,190,255,56,211],61:[343,-168,582,22,559],63:[698,14,428,39,422],65:[686,31,847,28,827],66:[684,31,1044,57,965],67:[676,32,723,72,726],68:[684,29,982,31,896],69:[686,29,783,74,728],70:[684,147,722,17,727],71:[687,29,927,74,844],72:[684,126,851,6,752],73:[681,25,655,32,623],74:[681,141,652,-8,617],75:[682,26,789,20,806],76:[683,28,786,30,764],77:[684,33,1239,26,1232],78:[679,30,983,26,973],79:[726,30,976,12,881],80:[688,223,977,32,943],81:[726,83,976,12,918],82:[688,28,978,31,978],83:[685,31,978,82,905],84:[686,30,790,31,802],85:[688,39,851,18,871],86:[685,29,982,24,966],87:[683,30,1235,25,1240],88:[681,35,849,32,835],89:[688,214,984,33,878],90:[677,148,711,-4,624],91:[740,130,257,36,226],93:[738,132,257,14,208],94:[734,-452,590,1,584],97:[472,32,603,79,586],98:[690,32,590,85,504],99:[473,26,464,87,424],100:[632,28,589,-1,511],101:[471,27,472,81,428],102:[687,222,388,35,372],103:[472,208,595,17,541],104:[687,207,615,89,507],105:[686,25,331,3,327],106:[682,203,332,-19,238],107:[682,25,464,34,432],108:[681,24,337,100,312],109:[477,31,921,16,900],110:[474,28,654,5,608],111:[482,34,609,107,515],112:[558,207,604,-1,520],113:[485,211,596,87,515],114:[472,26,460,13,453],115:[479,34,523,-23,482],116:[648,27,393,43,407],117:[472,32,589,9,603],118:[546,27,604,56,507],119:[549,32,918,55,815],120:[471,188,459,8,441],121:[557,221,589,60,512],122:[471,214,461,-7,378]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Fraktur/Bold/BasicLatin.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Fraktur-bold"],{32:[0,0,250,0,0],33:[689,12,349,107,241],34:[695,-432,254,10,231],38:[696,16,871,44,839],39:[695,-436,250,80,158],40:[737,186,459,134,347],41:[735,187,459,105,326],42:[692,-449,328,40,277],43:[598,82,893,56,837],44:[107,191,328,118,253],45:[275,-236,893,54,833],46:[102,15,328,103,237],47:[721,182,593,41,550],48:[501,12,593,42,533],49:[489,0,593,54,548],50:[491,-2,593,44,563],51:[487,193,593,31,523],52:[495,196,593,13,565],53:[481,190,593,19,518],54:[704,12,593,48,547],55:[479,197,593,54,591],56:[714,5,593,45,542],57:[487,195,593,29,549],58:[457,12,255,57,197],59:[458,190,255,56,211],61:[343,-168,582,22,559],63:[697,14,428,40,422],65:[686,31,847,29,827],66:[684,31,1044,57,965],67:[676,32,723,72,726],68:[683,29,982,31,896],69:[686,29,783,74,728],70:[684,146,722,17,727],71:[687,29,927,74,844],72:[683,126,851,6,752],73:[681,25,655,32,623],74:[680,141,652,-8,616],75:[681,26,789,20,806],76:[683,28,786,30,764],77:[683,32,1239,27,1232],78:[679,30,983,26,973],79:[726,30,976,12,881],80:[688,223,977,33,943],81:[726,83,976,12,918],82:[688,28,978,31,978],83:[685,31,978,82,905],84:[686,30,790,31,802],85:[688,39,851,18,871],86:[685,29,982,25,966],87:[683,30,1235,26,1240],88:[681,35,849,32,835],89:[688,214,984,34,878],90:[677,148,711,-4,624],91:[740,130,257,36,226],93:[738,132,257,14,208],94:[734,-452,590,1,584],97:[472,32,603,80,586],98:[690,32,590,86,504],99:[473,26,464,87,424],100:[632,28,589,-1,511],101:[471,27,472,81,428],102:[687,222,388,35,372],103:[472,208,595,17,541],104:[687,207,615,89,507],105:[686,25,331,3,327],106:[682,203,332,-19,238],107:[682,25,464,34,432],108:[681,24,337,100,312],109:[476,31,921,16,900],110:[473,28,654,5,608],111:[482,34,609,107,515],112:[557,207,604,-1,519],113:[485,211,596,87,515],114:[472,26,460,13,453],115:[479,34,523,-23,481],116:[648,27,393,43,407],117:[472,32,589,9,603],118:[546,27,604,56,507],119:[549,32,918,55,815],120:[471,188,459,8,441],121:[557,221,589,60,512],122:[471,214,461,-7,378]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Fraktur/Bold/BasicLatin.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
index 3d5f06620..5cb63481f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Fraktur,{32:[0,0,250,0,0],33:[689,12,296,91,204],34:[695,-432,215,8,196],38:[698,11,738,49,733],39:[695,-436,212,69,134],40:[737,186,389,114,293],41:[735,187,389,89,276],42:[693,-449,278,33,234],43:[598,82,756,47,709],44:[107,191,278,99,213],45:[275,-236,756,46,706],46:[102,15,278,87,200],47:[721,182,502,34,466],48:[492,13,502,42,456],49:[468,2,502,47,460],50:[474,-1,502,60,484],51:[473,182,502,39,429],52:[476,191,502,10,481],53:[458,185,502,47,440],54:[700,13,502,45,471],55:[468,181,502,37,498],56:[705,10,502,40,461],57:[469,182,502,28,466],58:[457,12,216,50,168],59:[458,189,216,47,179],61:[368,-132,756,54,725],63:[693,11,362,46,357],65:[696,26,718,22,708],66:[691,28,884,48,821],67:[685,24,613,59,607],68:[685,27,832,27,745],69:[685,24,663,86,634],70:[686,154,611,11,612],71:[690,26,785,66,711],72:[666,133,720,1,645],73:[686,26,554,30,532],74:[686,139,552,-11,522],75:[681,27,668,17,682],76:[686,26,666,33,644],77:[692,28,1050,27,1048],78:[686,25,832,27,825],79:[729,27,827,12,744],80:[692,218,828,28,804],81:[729,69,827,11,783],82:[686,26,828,27,824],83:[692,27,829,65,756],84:[701,27,669,34,677],85:[697,27,646,-25,665],86:[686,26,831,26,825],87:[686,27,1046,32,1055],88:[688,27,719,28,709],89:[686,218,833,27,741],90:[729,139,602,11,532],91:[740,130,278,117,278],93:[738,131,278,-4,160],94:[734,-452,500,0,495],97:[470,35,500,66,497],98:[685,31,513,87,442],99:[466,29,389,72,359],100:[609,33,499,13,428],101:[467,30,401,70,364],102:[681,221,326,30,323],103:[470,209,504,17,455],104:[689,205,521,77,434],105:[673,20,279,14,267],106:[672,208,281,-9,196],107:[689,25,389,24,362],108:[685,20,280,98,276],109:[476,26,767,8,753],110:[475,22,527,20,514],111:[480,28,489,67,412],112:[541,212,500,12,430],113:[479,219,489,60,419],114:[474,21,389,17,387],115:[478,29,443,-18,406],116:[640,20,333,27,348],117:[474,24,517,9,513],118:[531,28,512,55,435],119:[532,28,774,45,688],120:[472,188,389,10,363],121:[528,218,499,45,431],122:[471,214,391,-7,314]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Fraktur/Regular/BasicLatin.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Fraktur,{32:[0,0,250,0,0],33:[689,12,296,91,204],34:[695,-432,215,8,196],38:[698,11,738,49,733],39:[695,-436,212,69,134],40:[737,186,389,114,293],41:[735,187,389,89,276],42:[692,-449,278,33,234],43:[598,82,756,47,709],44:[107,191,278,99,213],45:[275,-236,756,46,706],46:[102,15,278,87,200],47:[721,182,502,34,466],48:[492,13,502,42,456],49:[468,2,502,47,460],50:[474,-1,502,60,484],51:[473,182,502,39,429],52:[476,191,502,10,481],53:[458,184,502,47,440],54:[700,13,502,45,471],55:[468,181,502,37,498],56:[705,10,502,40,461],57:[469,182,502,28,466],58:[457,12,216,50,168],59:[458,189,216,47,179],61:[368,-132,756,54,725],63:[693,11,362,46,357],65:[696,26,718,22,708],66:[691,27,884,48,820],67:[685,24,613,59,607],68:[685,27,832,27,745],69:[685,24,663,86,634],70:[686,153,611,11,612],71:[690,26,785,66,710],72:[666,133,720,1,644],73:[686,26,554,30,532],74:[686,139,552,-10,522],75:[680,27,668,17,682],76:[686,26,666,33,644],77:[692,27,1050,27,1048],78:[686,25,832,27,825],79:[729,27,827,12,744],80:[692,218,828,28,804],81:[729,69,827,11,782],82:[686,26,828,27,824],83:[692,27,829,66,756],84:[701,27,669,34,676],85:[697,27,646,-25,665],86:[686,26,831,26,825],87:[686,27,1046,32,1054],88:[688,27,719,28,709],89:[686,218,833,27,740],90:[729,139,602,11,532],91:[740,130,278,117,278],93:[738,131,278,-4,160],94:[734,-452,500,0,495],97:[470,35,500,66,497],98:[685,31,513,87,442],99:[466,29,389,72,359],100:[609,33,499,13,428],101:[467,30,401,70,364],102:[681,221,326,30,323],103:[470,209,504,17,455],104:[688,205,521,77,434],105:[673,20,279,14,267],106:[672,208,281,-9,196],107:[689,25,389,24,362],108:[685,20,280,98,276],109:[475,26,767,8,753],110:[475,22,527,20,514],111:[480,28,489,67,412],112:[541,212,500,12,430],113:[479,219,489,60,419],114:[474,21,389,17,387],115:[478,29,443,-18,406],116:[640,20,333,27,348],117:[474,23,517,9,513],118:[530,28,512,55,434],119:[532,28,774,45,688],120:[472,188,389,10,363],121:[528,218,499,45,431],122:[471,214,391,-7,314]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Fraktur/Regular/BasicLatin.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
index 10281aec6..25324f8a0 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Fraktur,{58112:[683,32,497,75,430],58113:[616,30,498,35,432],58114:[680,215,333,29,339],58115:[679,224,329,28,318],58116:[471,214,503,52,449],58117:[686,20,333,26,315],58118:[577,22,334,29,347],58119:[475,22,501,10,514]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Fraktur/Regular/PUA.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Fraktur,{58112:[683,32,497,75,430],58113:[616,30,498,35,432],58114:[680,215,333,29,339],58115:[679,224,329,28,318],58116:[471,214,503,52,449],58117:[686,20,333,26,315],58118:[577,21,334,29,347],58119:[475,22,501,10,514]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Fraktur/Regular/PUA.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
index 444139f4c..0cb7e316b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Greek-bold"]={directory:"Greek/Bold",family:"MathJax_Greek",weight:"bold",testString:String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923),32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,64,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,779]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/Bold/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Greek-bold"]={directory:"Greek/Bold",family:"MathJax_Greek",weight:"bold",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,64,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,779]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/Bold/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
index fad826eb0..57647df36 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Greek-bold-italic"]={directory:"Greek/BoldItalic",family:"MathJax_Greek",weight:"bold",style:"italic",testString:String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923),skew:{915:0.0958,916:0.192,920:0.0958,923:0.192,926:0.0958,928:0.0639,931:0.0958,933:0.0639,934:0.0958,936:0.0639,937:0.0958,945:0.0319,946:0.0958,948:0.0639,949:0.0958,950:0.0958,951:0.0639,952:0.0958,953:0.0639,956:0.0319,957:0.0319,958:0.128,959:0.0639,961:0.0958,962:0.0958,964:0.0319,965:0.0319,966:0.0958,967:0.0639,968:0.128,977:0.0958,981:0.0958,1009:0.0958,1013:0.0639},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,657,43,777],916:[711,0,958,59,904],920:[702,17,867,54,844],923:[711,0,806,44,776],926:[675,0,841,62,867],928:[680,0,982,43,1026],931:[686,0,885,69,902],933:[703,0,671,32,802],934:[686,0,767,29,737],936:[686,0,714,22,790],937:[703,0,879,93,886],945:[452,8,761,39,712],946:[701,194,660,28,637],947:[451,211,590,5,617],948:[725,8,522,39,513],949:[461,17,529,36,481],950:[711,202,508,48,521],951:[452,211,600,24,600],952:[702,8,562,40,554],953:[452,8,412,38,386],954:[452,8,668,45,642],955:[694,13,671,40,652],956:[452,211,708,33,682],957:[452,2,577,38,608],958:[711,201,508,23,490],959:[452,8,585,39,576],960:[444,8,682,23,674],961:[451,211,612,34,603],962:[451,105,424,33,457],963:[444,8,686,35,677],964:[444,13,521,23,610],965:[453,8,631,24,604],966:[452,216,747,53,703],967:[452,201,718,32,685],968:[694,202,758,24,732],969:[453,8,718,24,691],977:[701,8,692,24,656],981:[694,202,712,51,693],982:[444,8,975,23,961],1009:[451,194,612,75,603],1013:[444,7,483,44,450]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek-bold-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/BoldItalic/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Greek-bold-italic"]={directory:"Greek/BoldItalic",family:"MathJax_Greek",weight:"bold",style:"italic",testString:"\u0393 \u03A5 \u039B",skew:{915:0.0958,916:0.192,920:0.0958,923:0.192,926:0.0958,928:0.0639,931:0.0958,933:0.0639,934:0.0958,936:0.0639,937:0.0958,945:0.0319,946:0.0958,948:0.0639,949:0.0958,950:0.0958,951:0.0639,952:0.0958,953:0.0639,956:0.0319,957:0.0319,958:0.128,959:0.0639,961:0.0958,962:0.0958,964:0.0319,965:0.0319,966:0.0958,967:0.0639,968:0.128,977:0.0958,981:0.0958,1009:0.0958,1013:0.0639},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,657,43,777],916:[711,0,958,59,904],920:[702,17,867,54,844],923:[711,0,806,44,776],926:[675,0,841,62,867],928:[680,0,982,43,1026],931:[686,0,885,69,902],933:[703,0,671,32,802],934:[686,0,767,29,737],936:[686,0,714,22,790],937:[703,0,879,93,886],945:[452,8,761,39,712],946:[701,194,660,28,637],947:[451,211,590,5,617],948:[725,8,522,39,513],949:[461,17,529,36,481],950:[711,202,508,48,521],951:[452,211,600,24,600],952:[702,8,562,40,554],953:[452,8,412,38,386],954:[452,8,668,45,642],955:[694,13,671,40,652],956:[452,211,708,33,682],957:[452,2,577,38,608],958:[711,201,508,23,490],959:[452,8,585,39,576],960:[444,8,682,23,674],961:[451,211,612,34,603],962:[451,105,424,33,457],963:[444,8,686,35,677],964:[444,13,521,23,610],965:[453,8,631,24,604],966:[452,216,747,53,703],967:[452,201,718,32,685],968:[694,202,758,24,732],969:[453,8,718,24,691],977:[701,8,692,24,656],981:[694,202,712,51,693],982:[444,8,975,23,961],1009:[451,194,612,75,603],1013:[444,7,483,44,450]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek-bold-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/BoldItalic/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
index 32de37984..ffcb06217 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Greek-italic"]={directory:"Greek/Italic",family:"MathJax_Greek",style:"italic",testString:String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923),skew:{915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[678,0,742,53,777],928:[681,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/Italic/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Greek-italic"]={directory:"Greek/Italic",family:"MathJax_Greek",style:"italic",testString:"\u0393 \u03A5 \u039B",skew:{915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[678,0,742,53,777],928:[681,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/Italic/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
index 957aae866..d38303ed3 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Greek={directory:"Greek/Regular",family:"MathJax_Greek",testString:String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923),32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Greek={directory:"Greek/Regular",family:"MathJax_Greek",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Greek"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Greek/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
index 9413a576e..517437b2a 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8592:[519,18,1150,64,1085],8593:[694,193,575,13,562],8594:[519,18,1150,65,1085],8595:[694,194,575,13,562],8596:[519,18,1150,64,1085],8597:[767,267,575,13,562],8598:[724,195,1150,64,1084],8599:[724,193,1150,64,1086],8600:[695,224,1150,65,1085],8601:[694,224,1150,64,1085],8614:[519,18,1150,65,1085],8617:[519,18,1282,64,1219],8618:[519,18,1282,65,1217],8636:[518,-220,1150,64,1084],8637:[281,17,1150,64,1084],8640:[518,-220,1150,65,1085],8641:[281,17,1150,64,1085],8652:[718,17,1150,64,1085],8656:[548,46,1150,63,1085],8657:[694,194,703,29,672],8658:[548,47,1150,64,1084],8659:[694,194,703,30,673],8660:[548,46,1150,47,1102],8661:[768,267,703,29,673]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/Arrows.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8592:[518,17,1150,64,1084],8593:[694,193,575,14,561],8594:[518,17,1150,65,1085],8595:[694,194,575,14,561],8596:[518,17,1150,64,1085],8597:[767,267,575,14,561],8598:[724,194,1150,64,1084],8599:[724,193,1150,64,1085],8600:[694,224,1150,65,1085],8601:[694,224,1150,64,1085],8614:[518,17,1150,65,1085],8617:[518,17,1282,64,1218],8618:[518,17,1282,65,1217],8636:[518,-220,1150,64,1084],8637:[281,17,1150,64,1084],8640:[518,-220,1150,65,1085],8641:[281,17,1150,64,1085],8652:[718,17,1150,64,1085],8656:[547,46,1150,64,1085],8657:[694,193,703,30,672],8658:[547,46,1150,64,1084],8659:[694,194,703,30,672],8660:[547,46,1150,47,1102],8661:[767,267,703,30,672]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/Arrows.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
index e46f64234..5bdad475e 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{768:[706,-503,0,-461,-237],769:[706,-503,0,-339,-115],770:[694,-520,0,-449,-127],771:[694,-551,0,-479,-97],772:[607,-540,0,-495,-81],774:[694,-500,0,-473,-103],775:[695,-525,0,-373,-203],776:[695,-535,0,-479,-97],778:[703,-536,0,-415,-161],779:[714,-511,0,-442,-82],780:[660,-515,0,-445,-131],824:[711,210,0,-734,-161]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/CombDiacritMarks.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{768:[706,-503,0,-461,-237],769:[706,-503,0,-339,-115],770:[694,-520,0,-449,-127],771:[694,-552,0,-479,-97],772:[607,-540,0,-495,-81],774:[694,-500,0,-473,-103],775:[695,-525,0,-373,-203],776:[695,-535,0,-479,-97],778:[702,-536,0,-415,-161],779:[714,-511,0,-442,-82],780:[660,-515,0,-445,-131],824:[711,210,0,-734,-161]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/CombDiacritMarks.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
index 9db5be76d..87ee40cc9 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[300,-249,575,0,574],8212:[300,-249,1150,0,1149],8216:[694,-329,319,58,245],8217:[694,-329,319,74,261],8220:[694,-329,603,110,564],8221:[694,-329,603,38,492],8224:[702,211,511,64,446],8225:[702,203,511,64,446],8230:[171,-1,1295,74,1221],8242:[563,-33,344,35,332]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/GeneralPunctuation.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[300,-249,575,0,574],8212:[300,-249,1150,0,1149],8216:[694,-329,319,58,245],8217:[694,-329,319,74,261],8220:[694,-329,603,110,564],8221:[694,-329,603,38,492],8224:[702,211,511,64,446],8225:[702,202,511,64,446],8230:[171,-1,1295,74,1221],8242:[563,-33,344,35,331]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/GeneralPunctuation.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
index 9dc64c813..b09024ed3 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{9651:[711,-1,1022,68,953],9657:[541,39,575,33,542],9661:[500,210,1022,68,953],9667:[539,39,575,33,542],9711:[711,211,1150,65,1084]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/GeometricShapes.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{9651:[711,-1,1022,69,953],9657:[540,39,575,33,542],9661:[500,210,1022,68,953],9667:[539,38,575,33,542],9711:[711,211,1150,65,1084]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/GeometricShapes.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
index be4d31c9a..b2231b0ff 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{160:[0,0,250,0,0],168:[695,-535,575,96,478],172:[371,-61,767,64,703],175:[607,-540,575,80,494],176:[703,-536,575,160,414],177:[728,35,894,64,829],180:[706,-503,575,236,460],215:[531,29,894,167,727],247:[597,96,894,64,828]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/Latin1Supplement.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{160:[0,0,250,0,0],168:[695,-535,575,96,478],172:[371,-61,767,64,702],175:[607,-540,575,80,494],176:[702,-536,575,160,414],177:[728,35,894,64,829],180:[706,-503,575,236,460],215:[530,28,894,168,726],247:[597,96,894,64,828]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/Latin1Supplement.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
index 420b20a42..5bbe1ea2a 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{305:[453,8,394,24,367]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/LatinExtendedA.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{305:[452,8,394,24,367]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/LatinExtendedA.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
index 3b38fb398..bf78c13de 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8463:[694,8,668,45,642],8465:[702,9,831,64,798],8467:[702,19,474,-1,447],8472:[462,211,740,72,727],8476:[711,17,831,41,824],8501:[694,1,703,64,639]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/LetterlikeSymbols.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8463:[694,8,668,45,642],8465:[702,8,831,64,798],8467:[702,19,474,-1,446],8472:[461,210,740,72,726],8476:[711,16,831,42,824],8501:[694,0,703,64,638]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/LetterlikeSymbols.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
index 16e585dcf..782c70e9b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"]={directory:"Main/Bold",family:"MathJax_Main",weight:"bold",testString:"MathJax Main",skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[751,250,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[655,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,12,575,47,526],52:[657,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,527],55:[676,11,575,64,559],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,95,797],63:[700,-1,543,65,478],64:[700,6,894,64,829],65:[698,0,869,40,828],66:[687,0,818,39,753],67:[697,11,831,64,767],68:[687,0,882,39,817],69:[681,0,756,38,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[687,0,1092,39,1052],78:[687,1,900,39,861],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[697,193,864,64,806],82:[687,11,862,39,858],83:[697,11,639,63,575],84:[675,0,800,41,758],85:[686,12,885,39,845],86:[686,7,869,25,843],87:[686,8,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[687,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,7,639,29,601],99:[453,6,511,39,478],100:[695,6,639,38,609],101:[453,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[451,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,28,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,7,454,37,415],116:[636,6,447,21,382],117:[450,6,639,37,623],118:[444,4,607,26,580],119:[444,5,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[445,0,511,31,462],123:[751,251,575,69,504],124:[750,249,319,129,190],125:[751,251,575,70,504],126:[344,-201,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[699,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,780]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Main-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"]={directory:"Main/Bold",family:"MathJax_Main",weight:"bold",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[750,249,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[654,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,11,575,47,526],52:[656,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,526],55:[676,11,575,64,558],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,96,797],63:[700,-1,543,65,478],64:[699,6,894,64,829],65:[698,0,869,40,828],66:[686,0,818,39,752],67:[697,11,831,64,766],68:[686,0,882,39,817],69:[680,0,756,39,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[686,0,1092,39,1052],78:[686,0,900,39,860],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[696,193,864,64,805],82:[686,11,862,39,858],83:[697,11,639,64,574],84:[675,0,800,41,758],85:[686,11,885,39,845],86:[686,7,869,25,843],87:[686,7,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[686,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,6,639,29,600],99:[453,6,511,39,478],100:[694,6,639,38,609],101:[452,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[450,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,29,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,6,454,38,414],116:[635,5,447,21,382],117:[450,6,639,37,623],118:[444,3,607,26,580],119:[444,4,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[444,0,511,32,462],123:[750,250,575,70,504],124:[750,249,319,129,190],125:[750,250,575,70,504],126:[344,-202,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,0,831,51,779]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Main-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
index e036e7eab..377982f97 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8704:[694,16,639,0,640],8706:[710,17,628,60,657],8707:[694,-1,639,64,574],8709:[767,73,575,46,528],8711:[686,24,958,56,901],8712:[587,86,767,97,670],8713:[711,210,767,97,670],8715:[588,86,767,95,670],8722:[281,-221,894,96,797],8723:[537,227,894,64,829],8725:[750,250,575,63,511],8726:[750,250,575,63,511],8727:[472,-27,575,73,501],8728:[474,-28,575,64,510],8729:[474,-28,575,64,510],8730:[820,180,958,78,989],8733:[451,8,894,65,831],8734:[452,8,1150,65,1084],8736:[715,0,722,55,676],8739:[750,249,319,129,190],8741:[750,248,575,145,430],8743:[604,17,767,64,702],8744:[604,17,767,64,702],8745:[603,16,767,64,702],8746:[604,16,767,64,702],8747:[711,211,569,64,632],8764:[391,-109,894,64,828],8768:[583,82,319,64,254],8771:[502,3,894,64,829],8773:[638,27,1000,64,829],8776:[524,-32,894,64,829],8781:[533,32,894,64,829],8784:[721,-109,894,64,829],8800:[712,210,894,64,830],8801:[505,3,894,64,829],8804:[697,199,894,96,797],8805:[697,199,894,96,797],8810:[618,117,1150,64,1085],8811:[619,116,1150,64,1085],8826:[585,86,894,95,797],8827:[586,86,894,96,797],8834:[587,85,894,96,797],8835:[587,86,894,96,797],8838:[697,199,894,96,797],8839:[697,199,894,96,797],8846:[604,16,767,64,702],8849:[697,199,894,96,828],8850:[697,199,894,66,797],8851:[604,-1,767,70,696],8852:[604,-1,767,70,696],8853:[632,132,894,64,828],8854:[632,132,894,64,828],8855:[632,132,894,64,828],8856:[632,132,894,64,828],8857:[632,132,894,64,828],8866:[693,-1,703,65,637],8867:[693,-1,703,64,638],8868:[694,-1,894,64,829],8869:[693,-1,894,64,829],8872:[750,249,974,129,918],8900:[524,21,575,15,561],8901:[336,-166,319,74,245],8902:[502,1,575,24,551],8904:[541,39,1000,33,967],8942:[951,29,319,74,245],8943:[336,-166,1295,74,1221],8945:[871,-101,1323,129,1194]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/MathOperators.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8704:[694,16,639,1,640],8706:[710,17,628,60,657],8707:[694,-1,639,64,574],8709:[767,73,575,46,528],8711:[686,24,958,56,901],8712:[587,86,767,97,670],8713:[711,210,767,97,670],8715:[587,86,767,96,670],8722:[281,-221,894,96,797],8723:[537,227,894,64,829],8725:[750,250,575,63,511],8726:[750,250,575,63,511],8727:[472,-28,575,73,501],8728:[474,-28,575,64,510],8729:[474,-28,575,64,510],8730:[820,180,958,78,988],8733:[451,8,894,65,830],8734:[452,8,1150,65,1084],8736:[714,0,722,55,676],8739:[750,249,319,129,190],8741:[750,248,575,145,430],8743:[604,17,767,64,702],8744:[604,16,767,64,702],8745:[603,16,767,64,702],8746:[604,16,767,64,702],8747:[711,211,569,64,632],8764:[391,-109,894,64,828],8768:[583,82,319,64,254],8771:[502,3,894,64,829],8773:[638,27,1000,64,829],8776:[524,-32,894,64,829],8781:[533,32,894,64,829],8784:[721,-109,894,64,829],8800:[711,210,894,64,829],8801:[505,3,894,64,829],8804:[697,199,894,96,797],8805:[697,199,894,96,797],8810:[617,116,1150,64,1085],8811:[618,116,1150,64,1085],8826:[585,86,894,96,797],8827:[586,86,894,96,797],8834:[587,85,894,96,797],8835:[587,86,894,96,796],8838:[697,199,894,96,797],8839:[697,199,894,96,796],8846:[604,16,767,64,702],8849:[697,199,894,96,828],8850:[697,199,894,66,797],8851:[604,-1,767,70,696],8852:[604,-1,767,70,696],8853:[632,132,894,64,828],8854:[632,132,894,64,828],8855:[632,132,894,64,828],8856:[632,132,894,64,828],8857:[632,132,894,64,828],8866:[693,-1,703,65,637],8867:[693,-1,703,64,638],8868:[694,-1,894,64,829],8869:[693,-1,894,65,829],8872:[750,249,974,129,918],8900:[523,21,575,15,560],8901:[336,-166,319,74,245],8902:[502,0,575,24,550],8904:[540,39,1000,33,967],8942:[951,29,319,74,245],8943:[336,-166,1295,74,1221],8945:[871,-101,1323,129,1194]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/MathOperators.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
index b8253d5d7..7f4e4305b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{9824:[720,130,894,63,829],9825:[711,24,894,65,828],9826:[719,154,894,64,828],9827:[720,130,894,32,861],9837:[750,17,447,63,382],9838:[741,223,447,56,390],9839:[724,224,447,63,383]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/MiscSymbols.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{9824:[719,129,894,64,829],9825:[711,24,894,65,828],9826:[719,154,894,64,828],9827:[719,129,894,32,861],9837:[750,17,447,64,381],9838:[741,223,447,57,389],9839:[724,224,447,63,382]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/MiscSymbols.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
index 592a0232e..3b63e7cb0 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8968:[750,248,511,194,493],8969:[750,248,511,17,317],8970:[749,248,511,194,493],8971:[749,248,511,17,317],8994:[405,-108,1150,64,1084],8995:[393,-126,1150,64,1085]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/MiscTechnical.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{8968:[750,248,511,194,493],8969:[750,248,511,17,317],8970:[749,248,511,194,493],8971:[749,248,511,17,317],8994:[405,-108,1150,65,1084],8995:[392,-126,1150,64,1085]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/MiscTechnical.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
index df997cf33..550130e5d 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{710:[694,-520,575,126,448],711:[660,-515,575,130,444],713:[607,-540,575,80,494],714:[706,-503,575,236,460],715:[706,-503,575,114,338],728:[694,-500,575,102,472],729:[695,-525,575,202,372],730:[703,-536,575,160,414],732:[694,-551,575,96,478]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/SpacingModLetters.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{710:[694,-520,575,126,448],711:[660,-515,575,130,444],713:[607,-540,575,80,494],714:[706,-503,575,236,460],715:[706,-503,575,114,338],728:[694,-500,575,102,472],729:[695,-525,575,202,372],730:[702,-536,575,160,414],732:[694,-552,575,96,478]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/SpacingModLetters.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
index 22069ea44..1bc6e2b6d 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{10815:[687,1,900,38,861],10927:[696,199,894,96,797],10928:[698,199,894,96,797]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/SuppMathOperators.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{10815:[686,0,900,39,860],10927:[696,199,894,96,797],10928:[697,199,894,96,797]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/SuppMathOperators.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
index 95b5d9893..272e75c09 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{10229:[519,18,1805,64,1741],10230:[519,18,1833,96,1774],10231:[519,18,2126,64,2062],10232:[548,46,1868,64,1804],10233:[548,47,1870,63,1804],10234:[548,47,2126,64,2060],10236:[519,18,1833,65,1774]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/SupplementalArrowsA.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-bold"],{10229:[518,17,1805,64,1741],10230:[518,17,1833,96,1773],10231:[518,17,2126,64,2061],10232:[547,46,1868,64,1804],10233:[547,46,1870,64,1804],10234:[547,46,2126,64,2060],10236:[518,17,1833,65,1773]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Bold/SupplementalArrowsA.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
index 232431a3b..10afb3902 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-italic"],{768:[697,-500,0,-222,-74],769:[697,-500,0,-173,39],770:[694,-527,0,-251,17],771:[668,-558,0,-265,60],772:[590,-544,0,-282,54],774:[695,-515,0,-237,62],775:[669,-548,0,-165,-41],776:[669,-554,0,-251,45],778:[716,-542,0,-199,3],779:[697,-503,0,-248,65],780:[638,-501,0,-236,29]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Italic/CombDiacritMarks.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-italic"],{768:[697,-500,0,-222,-74],769:[697,-500,0,-173,39],770:[694,-527,0,-251,17],771:[668,-558,0,-265,60],772:[589,-544,0,-282,54],774:[694,-515,0,-237,62],775:[669,-548,0,-165,-41],776:[669,-554,0,-251,45],778:[716,-542,0,-199,3],779:[697,-503,0,-248,65],780:[638,-502,0,-236,29]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Italic/CombDiacritMarks.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
index 4c654acc5..91a5a2600 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-italic"],{8211:[286,-248,511,91,554],8212:[285,-248,1022,117,1038],8216:[694,-379,307,197,362],8217:[694,-379,307,213,377],8220:[694,-378,514,243,606],8221:[694,-379,514,176,538]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Italic/GeneralPunctuation.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-italic"],{8211:[285,-248,511,91,554],8212:[285,-248,1022,117,1038],8216:[694,-379,307,197,362],8217:[694,-379,307,213,377],8220:[694,-379,514,243,606],8221:[694,-379,514,176,538]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Italic/GeneralPunctuation.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
index ac283bacd..b5be538f9 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-italic"]={directory:"Main/Italic",family:"MathJax_Main",style:"italic",testString:"MathJax Main",Ranges:[[160,255,"Latin1Supplement"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"]],32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[751,56,818,144,848],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[751,-320,511,195,584],43:[558,57,767,139,753],44:[121,194,307,69,233],45:[251,-179,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[667,22,511,96,563],52:[666,194,511,46,479],53:[666,22,511,106,567],54:[665,22,511,120,566],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[717,0,511,195,551],64:[705,11,767,152,789],65:[716,1,743,58,696],66:[683,1,704,57,732],67:[705,21,716,150,812],68:[683,1,755,56,775],69:[681,0,678,54,743],70:[681,0,653,54,731],71:[705,22,774,149,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[684,0,897,58,1010],78:[684,0,743,54,860],79:[704,22,767,149,788],80:[684,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[706,22,562,74,634],84:[678,0,716,171,807],85:[684,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[684,0,743,50,826],89:[684,0,743,198,875],90:[683,1,613,80,705],91:[751,251,307,73,446],93:[751,251,307,-14,359],94:[694,-527,511,260,528],95:[-24,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,470],100:[694,11,511,100,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,495],104:[695,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,499],108:[694,11,256,87,312],109:[443,11,818,75,851],110:[443,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,5,518],113:[442,195,460,100,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[627,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,12,664,74,696],120:[442,11,464,58,513],121:[441,206,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],163:[714,11,769,87,699],305:[441,10,307,75,340],567:[442,205,332,-32,327],915:[680,0,627,54,706],916:[717,1,818,70,751],920:[704,22,767,149,788],923:[717,0,692,58,646],926:[678,1,664,74,754],928:[680,0,743,54,859],931:[683,1,716,80,782],933:[706,0,767,213,833],934:[683,1,716,158,728],936:[683,0,767,207,824],937:[705,0,716,100,759]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Main-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Italic/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_Main-italic"]={directory:"Main/Italic",family:"MathJax_Main",style:"italic",testString:"MathJax Main ^ \u210F \u2223",Ranges:[[160,255,"Latin1Supplement"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"]],32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[750,56,818,145,847],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[750,-320,511,195,584],43:[557,57,767,139,753],44:[121,194,307,69,232],45:[251,-180,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[666,22,511,96,562],52:[666,194,511,46,478],53:[666,22,511,106,567],54:[665,22,511,120,565],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[716,0,511,195,551],64:[705,11,767,152,789],65:[716,0,743,58,696],66:[683,0,704,57,732],67:[705,21,716,150,812],68:[683,0,755,56,775],69:[680,0,678,54,743],70:[680,-1,653,54,731],71:[705,22,774,150,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[683,0,897,58,1010],78:[683,0,743,54,860],79:[704,22,767,149,788],80:[683,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[705,22,562,74,633],84:[677,0,716,171,806],85:[683,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[683,0,743,50,825],89:[683,0,743,198,875],90:[683,0,613,80,704],91:[750,250,307,73,446],93:[750,250,307,-14,359],94:[694,-527,511,260,528],95:[-25,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,469],100:[694,11,511,101,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,494],104:[694,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,498],108:[694,11,256,87,312],109:[442,11,818,75,851],110:[442,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,6,518],113:[442,194,460,101,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[626,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,11,664,75,696],120:[442,11,464,58,513],121:[441,205,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],163:[714,11,769,88,699],305:[441,10,307,75,340],567:[442,204,332,-32,327],915:[680,0,627,54,705],916:[716,0,818,70,751],920:[704,22,767,149,788],923:[716,0,692,58,646],926:[677,0,664,74,754],928:[680,0,743,54,859],931:[683,0,716,80,782],933:[705,0,767,213,832],934:[683,0,716,159,728],936:[683,0,767,207,824],937:[705,0,716,100,759]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Main-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Italic/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
index 9668542dc..cc16398a6 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",testString:"MathJax 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
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
index fb025a126..e51de5c2f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Main,{9824:[727,131,778,55,723],9825:[716,33,778,55,723],9826:[727,163,778,55,723],9827:[726,131,778,28,750],9837:[751,22,389,54,333],9838:[734,223,389,65,324],9839:[723,223,389,54,334]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Regular/MiscSymbols.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Main,{9824:[727,130,778,55,723],9825:[716,33,778,55,723],9826:[727,162,778,55,723],9827:[726,130,778,28,750],9837:[750,22,389,55,332],9838:[734,223,389,65,324],9839:[723,223,389,55,333]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Main/Regular/MiscSymbols.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
index fb00e0054..8c8ed8060 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
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diff --git a/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
index 1852066bb..83b83da23 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
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diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
index 1009a9be3..a8b7a9b1b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"],{32:[0,0,250,0,0],33:[695,0,367,109,257],34:[694,-441,558,37,420],35:[694,193,917,61,855],36:[750,57,550,49,488],37:[750,57,1029,61,967],38:[716,22,831,47,769],39:[694,-441,306,80,226],40:[750,249,428,79,366],41:[751,251,428,61,348],42:[750,-293,550,67,482],43:[617,116,856,61,794],44:[146,107,306,80,226],45:[274,-185,367,12,305],46:[146,0,306,80,226],47:[750,249,550,61,489],48:[715,22,550,42,506],49:[716,-1,550,76,473],50:[716,0,550,46,495],51:[716,22,550,46,503],52:[695,1,550,30,519],53:[694,22,550,37,494],54:[716,22,550,46,503],55:[696,12,550,45,504],56:[716,22,550,46,503],57:[716,22,550,46,503],58:[458,0,306,80,226],59:[458,107,306,80,226],61:[407,-94,856,61,794],63:[706,0,519,61,457],64:[704,11,733,61,671],65:[695,1,733,42,691],66:[695,-1,733,92,671],67:[704,11,703,61,647],68:[695,0,794,91,732],69:[692,0,642,92,596],70:[692,1,611,92,565],71:[705,11,733,61,659],72:[695,1,794,92,702],73:[695,1,331,85,246],74:[695,22,519,46,427],75:[695,1,764,92,701],76:[695,0,581,92,535],77:[695,1,978,92,886],78:[695,1,794,92,702],79:[716,22,794,62,731],80:[694,0,703,92,641],81:[716,106,794,62,732],82:[695,1,703,92,654],83:[716,22,611,49,549],84:[689,1,733,40,693],85:[695,22,764,92,672],86:[695,-1,733,27,705],87:[695,1,1039,23,1014],88:[695,0,733,37,694],89:[695,1,733,23,708],90:[694,0,672,61,617],91:[751,251,343,78,318],93:[751,251,343,24,263],94:[694,-537,550,108,441],95:[-23,110,550,0,549],97:[475,11,525,31,474],98:[695,11,561,54,523],99:[475,11,489,37,457],100:[695,11,561,37,507],101:[475,10,511,30,480],102:[705,1,336,28,382],103:[469,207,550,17,534],104:[695,1,561,53,509],105:[695,1,256,45,208],106:[696,205,286,-71,233],107:[695,1,531,63,496],108:[695,1,256,54,201],109:[469,1,867,53,816],110:[468,1,561,53,509],111:[475,11,550,32,518],112:[470,194,561,54,523],113:[470,195,561,37,507],114:[469,0,372,54,356],115:[474,10,422,30,396],116:[590,10,404,20,374],117:[459,11,561,52,509],118:[459,0,500,26,473],119:[459,1,744,23,719],120:[459,1,500,23,475],121:[459,205,500,28,473],122:[458,1,476,31,443],126:[344,-197,550,92,457]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/BasicLatin.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"],{32:[0,0,250,0,0],33:[694,0,367,110,256],34:[694,-442,558,37,420],35:[694,193,917,61,855],36:[750,56,550,49,488],37:[750,56,1029,61,966],38:[716,22,831,47,769],39:[694,-442,306,80,226],40:[750,249,428,79,366],41:[750,250,428,61,348],42:[750,-293,550,67,482],43:[617,116,856,61,794],44:[146,106,306,80,226],45:[273,-186,367,12,305],46:[146,0,306,80,226],47:[750,249,550,61,488],48:[715,22,550,43,506],49:[716,-1,550,76,473],50:[716,0,550,46,495],51:[716,22,550,46,503],52:[694,0,550,31,518],53:[694,22,550,37,494],54:[716,22,550,46,503],55:[695,11,550,46,503],56:[715,22,550,46,503],57:[716,22,550,46,503],58:[458,0,306,80,226],59:[458,106,306,80,226],61:[407,-94,856,61,794],63:[705,0,519,61,457],64:[704,11,733,61,671],65:[694,0,733,42,690],66:[694,-1,733,92,671],67:[704,11,703,61,647],68:[694,-1,794,92,732],69:[691,0,642,92,595],70:[691,0,611,92,564],71:[705,11,733,61,659],72:[694,0,794,92,702],73:[694,0,331,85,246],74:[694,22,519,46,427],75:[694,0,764,92,701],76:[694,0,581,92,534],77:[694,0,978,92,886],78:[694,0,794,92,702],79:[716,22,794,62,731],80:[694,0,703,92,641],81:[716,106,794,62,732],82:[694,0,703,92,654],83:[716,22,611,49,549],84:[688,0,733,40,692],85:[694,22,764,92,672],86:[694,-1,733,27,705],87:[694,0,1039,24,1014],88:[694,0,733,37,694],89:[694,0,733,24,708],90:[694,0,672,61,616],91:[750,250,343,79,318],93:[750,250,343,24,263],94:[694,-537,550,108,441],95:[-23,110,550,0,549],97:[475,11,525,31,472],98:[694,10,561,54,523],99:[475,11,489,37,457],100:[694,11,561,37,507],101:[474,10,511,30,480],102:[705,0,336,29,381],103:[469,206,550,17,534],104:[694,0,561,53,508],105:[695,0,256,46,208],106:[695,205,286,-71,232],107:[694,0,531,63,496],108:[694,0,256,54,201],109:[469,0,867,53,815],110:[468,0,561,53,508],111:[474,11,550,32,518],112:[469,194,561,54,523],113:[469,194,561,37,507],114:[469,0,372,54,356],115:[474,10,422,30,396],116:[589,10,404,20,373],117:[458,11,561,52,508],118:[458,0,500,26,473],119:[458,0,744,24,719],120:[458,0,500,24,475],121:[458,205,500,29,473],122:[458,0,476,31,442],126:[344,-198,550,92,457]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/BasicLatin.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
index d2b807d76..e453e94fe 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"],{768:[695,-537,0,-458,-218],769:[694,-536,0,-334,-93],770:[694,-537,0,-442,-109],771:[694,-547,0,-458,-93],772:[660,-560,0,-474,-77],774:[695,-552,0,-470,-80],775:[695,-596,0,-357,-194],776:[696,-594,0,-459,-90],778:[694,-537,0,-365,-118],779:[695,-536,0,-440,-93],780:[658,-500,0,-442,-109]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/CombDiacritMarks.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"],{768:[694,-537,0,-458,-218],769:[694,-537,0,-334,-93],770:[694,-537,0,-442,-109],771:[694,-548,0,-458,-93],772:[660,-560,0,-474,-77],774:[694,-552,0,-470,-80],775:[695,-596,0,-356,-194],776:[695,-595,0,-459,-91],778:[694,-538,0,-365,-119],779:[694,-537,0,-440,-94],780:[657,-500,0,-442,-109]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/CombDiacritMarks.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
index 0f1c43ea9..a20f8f2ad 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"]={directory:"SansSerif/Bold",family:"MathJax_SansSerif",weight:"bold",testString:"MathJax SansSerif",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_SansSerif-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"]={directory:"SansSerif/Bold",family:"MathJax_SansSerif",weight:"bold",testString:"MathJax SansSerif ^ _",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_SansSerif-bold"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
index 86471ec36..2877f91c0 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"],{160:[0,0,250,0,0],305:[459,1,256,54,201],567:[459,205,286,-71,232],915:[692,1,581,92,535],916:[695,0,917,60,856],920:[716,22,856,62,793],923:[695,1,672,41,630],926:[688,1,733,45,687],928:[691,1,794,92,702],931:[695,0,794,61,733],933:[716,1,856,61,794],934:[695,0,794,62,732],936:[695,0,856,61,794],937:[716,1,794,48,745],8211:[327,-240,550,0,549],8212:[327,-240,1100,0,1099],8216:[695,-443,306,81,226],8217:[694,-441,306,80,226],8220:[695,-443,558,138,521],8221:[694,-441,558,37,420]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/Other.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-bold"],{160:[0,0,250,0,0],305:[458,0,256,54,201],567:[458,205,286,-71,232],915:[691,0,581,92,534],916:[694,0,917,60,856],920:[716,22,856,62,793],923:[694,0,672,41,630],926:[688,0,733,46,686],928:[691,0,794,92,702],931:[694,0,794,61,732],933:[715,0,856,62,793],934:[694,0,794,62,732],936:[694,0,856,61,794],937:[716,0,794,49,744],8211:[327,-240,550,0,549],8212:[327,-240,1100,0,1099],8216:[694,-443,306,81,226],8217:[694,-442,306,80,226],8220:[694,-443,558,138,520],8221:[694,-442,558,37,420]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Bold/Other.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
index d310dbd1a..afc77f5c0 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-italic"],{32:[0,0,250,0,0],33:[694,0,319,110,355],34:[694,-471,500,133,472],35:[694,194,833,87,851],36:[750,56,500,56,565],37:[750,56,833,165,815],38:[716,22,758,71,747],39:[694,-471,278,190,335],40:[750,250,389,104,491],41:[750,250,389,2,390],42:[750,-305,500,156,569],43:[583,83,778,108,775],44:[98,125,278,63,209],45:[259,-186,333,51,332],46:[98,0,278,90,209],47:[750,250,500,6,600],48:[678,23,500,88,549],49:[678,0,500,88,451],50:[679,0,500,50,552],51:[678,22,500,56,544],52:[656,0,500,62,521],53:[656,22,500,50,555],54:[678,22,500,94,548],55:[656,11,500,143,596],56:[678,22,500,77,554],57:[677,22,500,77,545],58:[444,0,278,90,282],59:[444,125,278,63,282],61:[370,-130,778,87,796],63:[704,0,472,173,536],64:[705,10,667,120,707],65:[694,0,667,28,638],66:[694,0,667,90,696],67:[705,10,639,124,719],68:[694,0,722,88,747],69:[691,0,597,86,688],70:[691,0,569,86,673],71:[705,11,667,125,730],72:[694,0,708,86,768],73:[694,0,278,87,338],74:[694,22,472,46,535],75:[694,0,694,88,785],76:[694,0,542,87,516],77:[694,0,875,92,929],78:[694,0,708,88,766],79:[716,22,736,118,763],80:[694,0,639,88,690],81:[716,125,736,118,763],82:[694,0,646,88,699],83:[716,22,556,54,609],84:[688,0,681,165,790],85:[694,22,688,130,747],86:[694,0,667,161,799],87:[694,0,944,160,1076],88:[694,0,667,14,758],89:[694,0,667,151,810],90:[694,0,611,55,702],91:[750,250,289,41,425],93:[750,250,289,-31,353],94:[694,-527,500,190,533],95:[-38,114,500,50,565],97:[461,11,481,61,474],98:[694,11,517,75,539],99:[461,11,444,75,499],100:[694,11,517,73,588],101:[460,11,444,71,472],102:[705,0,306,94,494],103:[455,206,500,12,568],104:[694,0,517,73,513],105:[680,0,239,74,315],106:[680,204,267,-96,336],107:[694,0,489,76,543],108:[694,0,239,74,311],109:[455,0,794,73,790],110:[454,0,517,73,513],111:[461,11,500,69,523],112:[455,194,517,34,538],113:[455,194,517,72,538],114:[455,0,342,74,424],115:[461,11,383,35,436],116:[571,11,361,97,410],117:[444,11,517,90,537],118:[444,0,461,108,540],119:[444,0,683,108,762],120:[444,0,461,1,537],121:[444,205,461,1,540],122:[444,0,435,28,494],126:[327,-193,500,199,560]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Italic/BasicLatin.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-italic"],{32:[0,0,250,0,0],33:[694,0,319,110,355],34:[694,-471,500,133,472],35:[694,194,833,87,851],36:[750,56,500,56,565],37:[750,56,833,165,815],38:[716,22,758,71,747],39:[694,-471,278,190,335],40:[750,250,389,104,491],41:[750,250,389,2,390],42:[750,-306,500,156,568],43:[583,83,778,108,775],44:[98,125,278,63,209],45:[259,-186,333,51,332],46:[98,0,278,90,209],47:[750,250,500,6,600],48:[678,22,500,88,549],49:[678,0,500,88,451],50:[678,0,500,50,551],51:[678,22,500,56,544],52:[656,0,500,62,521],53:[656,22,500,50,555],54:[678,22,500,94,548],55:[656,11,500,143,596],56:[678,22,500,77,554],57:[677,22,500,77,545],58:[444,0,278,90,282],59:[444,125,278,63,282],61:[370,-130,778,88,796],63:[704,0,472,173,536],64:[705,10,667,120,707],65:[694,0,667,28,638],66:[694,0,667,90,696],67:[705,10,639,124,719],68:[694,0,722,88,747],69:[691,0,597,86,688],70:[691,0,569,86,673],71:[705,11,667,125,730],72:[694,0,708,86,768],73:[694,0,278,87,338],74:[694,22,472,46,535],75:[694,0,694,88,785],76:[694,0,542,87,516],77:[694,0,875,92,929],78:[694,0,708,88,766],79:[716,22,736,118,763],80:[694,0,639,88,690],81:[716,125,736,118,763],82:[694,0,646,88,698],83:[716,22,556,54,609],84:[688,0,681,165,790],85:[694,22,688,131,747],86:[694,0,667,161,799],87:[694,0,944,161,1076],88:[694,0,667,14,758],89:[694,0,667,151,810],90:[694,0,611,55,702],91:[750,250,289,41,425],93:[750,250,289,-31,353],94:[694,-527,500,190,533],95:[-38,114,500,50,565],97:[461,10,481,61,473],98:[694,11,517,75,539],99:[460,11,444,75,499],100:[694,10,517,73,588],101:[460,11,444,71,472],102:[705,0,306,94,494],103:[455,206,500,12,568],104:[694,0,517,73,513],105:[680,0,239,74,315],106:[680,204,267,-96,336],107:[694,0,489,76,543],108:[694,0,239,74,311],109:[455,0,794,73,790],110:[454,0,517,73,513],111:[461,11,500,69,523],112:[455,194,517,34,538],113:[455,194,517,72,538],114:[455,0,342,74,424],115:[461,11,383,35,436],116:[571,11,361,97,410],117:[444,10,517,90,537],118:[444,0,461,108,540],119:[444,0,683,108,762],120:[444,0,461,1,537],121:[444,205,461,1,540],122:[444,0,435,28,494],126:[327,-193,500,199,560]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Italic/BasicLatin.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
index a9f50e7fc..d78b1f5e7 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-italic"],{768:[694,-527,0,-270,-87],769:[694,-527,0,-190,63],770:[694,-527,0,-310,33],771:[677,-543,0,-301,60],772:[631,-552,0,-314,64],774:[694,-508,0,-284,73],775:[680,-576,0,-180,-54],776:[680,-582,0,-273,40],778:[694,-527,0,-227,-2],779:[694,-527,0,-287,63],780:[654,-487,0,-283,60]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Italic/CombDiacritMarks.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-italic"],{768:[694,-527,0,-270,-87],769:[694,-527,0,-190,63],770:[694,-527,0,-310,33],771:[677,-543,0,-301,60],772:[631,-552,0,-314,64],774:[694,-508,0,-284,73],775:[680,-576,0,-180,-54],776:[680,-582,0,-273,40],778:[693,-527,0,-227,-2],779:[694,-527,0,-287,63],780:[654,-487,0,-283,60]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Italic/CombDiacritMarks.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
index 3dbb1a12e..48419ca8f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-italic"]={directory:"SansSerif/Italic",family:"MathJax_SansSerif",style:"italic",testString:"MathJax SansSerif",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_SansSerif-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Italic/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["MathJax_SansSerif-italic"]={directory:"SansSerif/Italic",family:"MathJax_SansSerif",style:"italic",testString:"MathJax SansSerif ^ _",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_SansSerif-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Italic/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
index 7710aeada..5eeef79e2 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_SansSerif,{32:[0,0,250,0,0],33:[694,0,319,110,208],34:[694,-471,500,32,325],35:[694,194,833,55,777],36:[750,56,500,44,444],37:[750,56,833,56,776],38:[716,23,758,42,703],39:[694,-471,278,89,188],40:[750,250,389,74,333],41:[750,250,389,55,314],42:[750,-306,500,63,436],43:[583,83,778,55,722],44:[98,125,278,89,188],45:[259,-186,333,11,277],46:[98,0,278,90,188],47:[751,250,500,56,445],48:[678,22,500,39,460],49:[678,0,500,83,430],50:[677,0,500,42,450],51:[678,22,500,42,457],52:[656,0,500,28,471],53:[656,22,500,33,449],54:[678,22,500,42,457],55:[656,11,500,42,457],56:[678,22,500,43,456],57:[678,22,500,42,457],58:[444,0,278,90,188],59:[444,125,278,89,188],61:[370,-130,778,55,722],63:[704,0,472,55,416],64:[704,11,667,56,612],65:[694,0,667,28,638],66:[694,0,667,90,610],67:[705,11,639,59,587],68:[695,0,722,87,666],69:[691,0,597,86,554],70:[691,0,569,86,526],71:[704,11,667,59,599],72:[694,0,708,86,621],73:[694,0,278,87,191],74:[694,22,472,42,389],75:[694,0,694,88,651],76:[694,0,542,87,499],77:[694,0,875,92,782],78:[694,0,708,88,619],79:[715,22,736,55,680],80:[694,0,639,88,583],81:[715,125,736,55,680],82:[694,0,646,88,617],83:[716,22,556,44,500],84:[688,0,681,36,644],85:[694,22,688,87,600],86:[694,0,667,14,652],87:[694,0,944,14,929],88:[694,0,667,14,652],89:[694,0,667,3,663],90:[694,0,611,55,560],91:[750,250,289,94,266],93:[750,250,289,22,194],94:[694,-527,500,78,421],95:[-38,114,500,0,499],97:[461,11,481,38,408],98:[694,11,517,75,482],99:[460,10,444,34,415],100:[694,10,517,33,441],101:[461,10,444,28,415],102:[706,0,306,27,347],103:[455,206,500,28,485],104:[694,0,517,73,443],105:[680,0,239,67,171],106:[680,205,267,-59,192],107:[694,0,489,76,471],108:[694,0,239,74,164],109:[455,0,794,73,720],110:[455,0,517,73,443],111:[460,10,500,28,471],112:[456,194,517,75,483],113:[455,194,517,33,441],114:[455,0,342,74,327],115:[460,10,383,28,360],116:[571,10,361,18,333],117:[444,11,517,73,443],118:[444,0,461,14,446],119:[444,0,683,14,668],120:[444,0,461,0,460],121:[444,205,461,14,446],122:[444,0,435,28,402],126:[327,-193,500,83,416]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Regular/BasicLatin.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_SansSerif,{32:[0,0,250,0,0],33:[694,0,319,110,208],34:[694,-471,500,32,325],35:[694,194,833,56,777],36:[750,56,500,44,444],37:[750,56,833,56,776],38:[716,22,758,42,702],39:[694,-471,278,89,188],40:[750,250,389,74,333],41:[750,250,389,55,314],42:[750,-306,500,63,436],43:[583,82,778,56,722],44:[98,125,278,89,188],45:[259,-186,333,11,277],46:[98,0,278,90,188],47:[750,250,500,56,445],48:[678,22,500,39,460],49:[678,0,500,83,430],50:[677,0,500,42,449],51:[678,22,500,42,457],52:[656,0,500,28,471],53:[656,21,500,33,449],54:[677,22,500,42,457],55:[656,11,500,42,457],56:[678,22,500,43,456],57:[677,22,500,42,457],58:[444,0,278,90,188],59:[444,125,278,89,188],61:[370,-130,778,56,722],63:[704,0,472,55,416],64:[704,11,667,56,612],65:[694,0,667,28,638],66:[694,0,667,90,610],67:[705,11,639,59,587],68:[694,0,722,88,666],69:[691,0,597,86,554],70:[691,0,569,86,526],71:[704,11,667,59,599],72:[694,0,708,86,621],73:[694,0,278,87,191],74:[694,22,472,42,388],75:[694,0,694,88,651],76:[694,0,542,87,499],77:[694,0,875,92,782],78:[694,0,708,88,619],79:[715,22,736,55,680],80:[694,0,639,88,583],81:[715,125,736,55,680],82:[694,0,646,88,617],83:[716,22,556,44,500],84:[688,0,681,36,644],85:[694,22,688,87,600],86:[694,0,667,14,652],87:[694,0,944,14,929],88:[694,0,667,14,652],89:[694,0,667,3,663],90:[694,0,611,55,560],91:[750,250,289,94,266],93:[750,250,289,22,194],94:[694,-527,500,78,421],95:[-38,114,500,0,499],97:[460,10,481,38,407],98:[694,11,517,75,482],99:[460,10,444,34,415],100:[694,10,517,33,441],101:[461,10,444,28,415],102:[705,0,306,27,347],103:[455,206,500,28,485],104:[694,0,517,73,443],105:[680,0,239,67,171],106:[680,205,267,-59,192],107:[694,0,489,76,471],108:[694,0,239,74,164],109:[455,0,794,73,720],110:[455,0,517,73,443],111:[460,10,500,28,471],112:[455,194,517,75,483],113:[455,194,517,33,441],114:[455,0,342,74,327],115:[460,10,383,28,360],116:[571,10,361,18,333],117:[444,10,517,73,443],118:[444,0,461,14,446],119:[444,0,683,14,668],120:[444,0,461,0,460],121:[444,204,461,14,446],122:[444,0,435,28,402],126:[327,-193,500,83,416]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Regular/BasicLatin.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
index 6b6584988..96cac00f9 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_SansSerif={directory:"SansSerif/Regular",family:"MathJax_SansSerif",testString:"MathJax SansSerif",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_SansSerif"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_SansSerif={directory:"SansSerif/Regular",family:"MathJax_SansSerif",testString:"MathJax SansSerif ^ _",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_SansSerif"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
index 13b65b203..166e86055 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_SansSerif,{160:[0,0,250,0,0],305:[444,0,239,74,164],567:[444,205,267,-59,192],915:[691,0,542,87,499],916:[694,0,833,42,790],920:[716,21,778,56,722],923:[694,0,611,28,582],926:[688,0,667,42,624],928:[691,0,708,86,621],931:[694,0,722,55,666],933:[717,0,778,55,722],934:[694,0,722,55,666],936:[694,0,778,55,722],937:[716,0,722,44,677],8211:[312,-236,500,0,499],8212:[312,-236,1000,0,999],8216:[694,-471,278,90,189],8217:[694,-471,278,89,188],8220:[694,-471,500,174,467],8221:[694,-471,500,32,325]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Regular/Other.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_SansSerif,{160:[0,0,250,0,0],305:[444,0,239,74,164],567:[444,205,267,-59,192],915:[691,0,542,87,499],916:[694,0,833,42,790],920:[716,21,778,56,722],923:[694,0,611,28,582],926:[688,0,667,42,624],928:[691,0,708,86,621],931:[694,0,722,55,666],933:[716,0,778,55,722],934:[694,0,722,55,666],936:[694,0,778,55,722],937:[716,0,722,44,677],8211:[312,-236,500,0,499],8212:[312,-236,1000,0,999],8216:[694,-471,278,90,189],8217:[694,-471,278,89,188],8220:[694,-471,500,174,467],8221:[694,-471,500,32,325]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/SansSerif/Regular/Other.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
index 5ed4ee1c9..bbed285e1 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Script,{32:[0,0,250,0,0],65:[718,8,803,35,1017],66:[708,28,908,31,928],67:[728,26,666,26,819],68:[708,31,774,68,855],69:[708,8,562,46,719],70:[735,36,895,39,990],71:[717,38,610,12,739],72:[718,36,969,29,1241],73:[717,17,809,59,946],74:[718,315,1052,92,1133],75:[717,37,914,29,1204],76:[718,18,874,14,1036],77:[721,50,1080,30,1216],78:[726,36,902,29,1208],79:[707,8,738,96,805],80:[716,38,1013,89,1031],81:[717,17,883,54,885],82:[717,17,850,-3,887],83:[708,36,868,29,1016],84:[735,37,747,92,996],85:[717,17,800,55,960],86:[717,17,622,56,850],87:[718,17,805,46,1026],88:[718,17,944,103,1132],89:[716,17,710,57,959],90:[718,16,821,82,1033]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Script/Regular/BasicLatin.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Script,{32:[0,0,250,0,0],65:[717,8,803,35,1016],66:[708,28,908,31,928],67:[728,26,666,26,819],68:[708,31,774,68,855],69:[707,8,562,46,718],70:[735,36,895,39,990],71:[717,37,610,12,738],72:[717,36,969,29,1241],73:[717,17,809,59,946],74:[717,314,1052,92,1133],75:[717,37,914,29,1204],76:[717,17,874,14,1035],77:[721,50,1080,30,1216],78:[726,36,902,29,1208],79:[707,8,738,96,805],80:[716,37,1013,90,1031],81:[717,17,883,54,885],82:[717,17,850,-2,887],83:[708,36,868,29,1016],84:[735,37,747,92,996],85:[717,17,800,55,960],86:[717,17,622,56,850],87:[717,17,805,46,1026],88:[717,17,944,103,1131],89:[716,17,710,57,959],90:[717,16,821,83,1032]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Script/Regular/BasicLatin.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
index add73d48f..691db0056 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size1={directory:"Size1/Regular",family:"MathJax_Size1",testString:"() [] {}",32:[0,0,250,0,0],40:[850,349,458,152,422],41:[851,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,104,477],125:[851,349,583,104,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[751,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,54,777],8899:[750,250,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,250,833,55,777],10758:[750,249,833,55,777]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size1"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size1/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size1={directory:"Size1/Regular",family:"MathJax_Size1",testString:"() [] {}",32:[0,0,250,0,0],40:[850,349,458,152,422],41:[850,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,105,477],125:[850,349,583,105,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[750,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,55,777],8899:[750,249,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,249,833,55,777],10758:[750,249,833,55,777]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size1"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size1/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
index a32200ffb..8ef533bc0 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size2={directory:"Size2/Regular",family:"MathJax_Size2",testString:"() [] {}",32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1151,649,597,35,416],47:[1150,649,811,55,755],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1151,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1361,862,1084,55,1473],8749:[1361,862,1592,55,1981],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size2"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size2/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size2={directory:"Size2/Regular",family:"MathJax_Size2",testString:"() [] {}",32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1150,649,597,35,416],47:[1150,649,811,56,754],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1150,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1360,862,1084,55,1472],8749:[1360,862,1592,55,1980],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size2"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size2/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
index 4e0158b6b..72ba36971 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size3={directory:"Size3/Regular",family:"MathJax_Size3",testString:"() [] {}",32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1451,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1451,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,951,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,950,750,94,623]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size3"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size3/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size3={directory:"Size3/Regular",family:"MathJax_Size3",testString:"() [] {}",32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1450,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1450,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,950,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,949,750,94,623]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size3"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size3/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
index ee90b5333..fdc516680 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size4={directory:"Size4/Regular",family:"MathJax_Size4",testString:"() [] {}",32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1751,1250,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,662],125:[1751,1249,806,144,662],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1251,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1155,655,875,290,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1155,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,645,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,383,719],9128:[1160,660,889,170,505],9129:[10,899,889,384,718],9130:[310,10,889,383,504],9131:[900,11,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,505],9143:[935,885,1056,111,742],10216:[1750,1249,806,140,703],10217:[1751,1249,806,103,665],57344:[625,15,1056,702,742],57345:[605,15,1056,702,1076],57680:[120,213,450,-24,461],57681:[120,214,450,-11,475],57682:[333,0,450,-24,461],57683:[333,0,450,-11,475],57684:[120,0,400,-10,410]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size4"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size4/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Size4={directory:"Size4/Regular",family:"MathJax_Size4",testString:"() [] {}",32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1750,1249,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,661],125:[1750,1249,806,144,661],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1250,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1154,655,875,291,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1154,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,644,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,384,718],9128:[1160,660,889,170,504],9129:[10,899,889,384,718],9130:[310,10,889,384,504],9131:[899,10,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,504],9143:[935,885,1056,111,742],10216:[1750,1248,806,140,703],10217:[1750,1248,806,103,665],57344:[625,14,1056,702,742],57345:[605,14,1056,702,1076],57680:[120,213,450,-24,460],57681:[120,213,450,-10,474],57682:[333,0,450,-24,460],57683:[333,0,450,-10,474],57684:[120,0,400,-10,410]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Size4"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Size4/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
index 53d3dd9ed..004227f43 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter,{32:[0,0,250,0,0],33:[622,0,525,206,320],34:[623,-333,525,122,402],35:[612,0,525,36,490],36:[695,83,525,58,467],37:[694,83,525,35,489],38:[622,11,525,28,490],39:[611,-287,525,175,349],40:[695,83,525,166,437],41:[694,82,525,87,358],42:[520,-90,525,68,456],43:[531,-81,525,38,487],44:[140,139,525,173,353],45:[341,-271,525,56,468],46:[140,-1,525,193,332],47:[694,83,525,58,466],48:[621,10,525,42,482],49:[622,0,525,98,450],50:[623,-1,525,52,473],51:[622,12,525,44,479],52:[624,-1,525,28,496],53:[611,10,525,52,472],54:[622,11,525,45,480],55:[628,10,525,43,480],56:[621,10,525,45,479],57:[622,11,525,45,479],58:[431,-1,525,193,332],59:[431,139,525,175,337],60:[557,-55,525,57,468],61:[417,-195,525,37,487],62:[557,-55,525,57,468],63:[617,0,525,62,462],64:[617,6,525,44,481],65:[624,0,525,27,497],66:[611,-1,525,16,482],67:[622,11,525,40,485],68:[612,-1,525,15,485],69:[611,-1,525,18,503],70:[611,-1,525,21,491],71:[622,11,525,38,497],72:[612,-1,525,16,508],73:[611,-1,525,71,453],74:[611,11,525,56,479],75:[612,-1,525,18,496],76:[612,1,525,25,489],77:[612,0,525,11,513],78:[612,1,525,20,504],79:[621,11,525,56,468],80:[612,-1,525,18,481],81:[621,138,525,56,468],82:[612,11,525,16,522],83:[622,12,525,51,472],84:[611,-1,525,26,499],85:[611,11,525,-4,528],86:[611,8,525,18,506],87:[612,8,525,11,513],88:[612,-1,525,27,496],89:[612,-1,525,19,505],90:[611,-1,525,47,482],91:[695,82,525,213,484],92:[694,83,525,58,466],93:[696,82,525,41,310],94:[612,-459,525,95,428],95:[-25,95,525,56,468],96:[681,-357,525,176,350],97:[439,6,525,48,525],98:[612,6,525,4,492],99:[441,6,525,66,466],100:[612,6,525,31,520],101:[440,6,525,48,464],102:[617,-1,525,34,437],103:[442,229,525,28,509],104:[612,-1,525,4,520],105:[612,-1,525,71,463],106:[612,228,525,48,377],107:[612,0,525,12,508],108:[611,-1,525,50,475],109:[437,0,525,-13,536],110:[437,-1,525,4,520],111:[440,6,525,52,472],112:[437,221,525,4,492],113:[438,222,525,34,546],114:[437,0,525,24,487],115:[440,6,525,71,458],116:[555,6,525,25,448],117:[432,5,525,4,520],118:[432,5,525,24,500],119:[432,5,525,15,509],120:[432,-1,525,28,496],121:[432,228,525,25,500],122:[431,-1,525,33,476],123:[694,84,525,49,475],124:[694,82,525,228,297],125:[695,83,525,49,476],126:[611,-466,525,87,437],127:[612,-518,525,104,421]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/BasicLatin.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter,{32:[0,0,250,0,0],33:[622,0,525,206,320],34:[623,-333,525,122,402],35:[611,0,525,36,489],36:[694,82,525,58,466],37:[694,83,525,35,489],38:[622,11,525,28,490],39:[611,-287,525,175,349],40:[694,82,525,166,437],41:[694,82,525,87,358],42:[520,-90,525,68,456],43:[531,-81,525,38,487],44:[140,139,525,173,353],45:[341,-271,525,57,468],46:[140,-1,525,193,332],47:[694,83,525,58,466],48:[621,10,525,42,482],49:[622,-1,525,99,450],50:[622,-1,525,52,472],51:[622,11,525,44,479],52:[624,-1,525,29,495],53:[611,10,525,52,472],54:[622,11,525,45,479],55:[627,10,525,44,480],56:[621,10,525,45,479],57:[622,11,525,46,479],58:[431,-1,525,193,332],59:[431,139,525,175,337],60:[557,-55,525,57,468],61:[417,-195,525,38,487],62:[557,-55,525,57,468],63:[617,0,525,62,462],64:[617,6,525,44,481],65:[623,-1,525,28,496],66:[611,-1,525,17,482],67:[622,11,525,40,484],68:[611,-1,525,16,485],69:[611,-1,525,19,502],70:[611,-1,525,22,490],71:[622,11,525,38,496],72:[611,-1,525,16,508],73:[611,-1,525,72,452],74:[611,11,525,57,479],75:[611,-1,525,18,495],76:[611,0,525,25,488],77:[611,-1,525,12,512],78:[611,0,525,20,504],79:[621,10,525,56,468],80:[611,-1,525,19,480],81:[621,138,525,56,468],82:[611,11,525,16,522],83:[622,11,525,52,472],84:[611,-1,525,26,498],85:[611,11,525,-3,528],86:[611,7,525,19,505],87:[611,7,525,12,512],88:[611,-1,525,28,495],89:[611,-1,525,20,505],90:[611,-1,525,48,481],91:[694,82,525,214,483],92:[694,83,525,58,466],93:[694,82,525,41,310],94:[611,-460,525,96,428],95:[-25,95,525,57,468],96:[681,-357,525,176,350],97:[439,6,525,48,524],98:[611,6,525,4,492],99:[440,6,525,66,466],100:[611,6,525,31,520],101:[440,6,525,48,464],102:[617,-1,525,35,437],103:[442,229,525,28,509],104:[611,-1,525,4,520],105:[612,-1,525,72,462],106:[612,228,525,48,376],107:[611,-1,525,13,507],108:[611,-1,525,51,474],109:[436,-1,525,-12,536],110:[436,-1,525,4,520],111:[440,6,525,52,472],112:[437,221,525,4,492],113:[437,221,525,34,545],114:[437,-1,525,24,487],115:[440,6,525,72,458],116:[554,6,525,25,448],117:[431,5,525,4,520],118:[431,4,525,24,500],119:[431,4,525,16,508],120:[431,-1,525,29,495],121:[431,228,525,26,500],122:[431,-1,525,34,475],123:[694,83,525,50,475],124:[694,82,525,228,297],125:[694,83,525,49,475],126:[611,-466,525,87,437],127:[612,-519,525,104,421]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/BasicLatin.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
index 691007183..994420cfc 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter,{768:[611,-485,0,-409,-195],769:[611,-485,0,-331,-117],770:[612,-459,0,-430,-97],771:[611,-466,0,-438,-88],772:[578,-500,0,-453,-74],774:[612,-503,0,-446,-78],776:[612,-518,0,-421,-104],778:[619,-499,0,-344,-182],780:[577,-449,0,-428,-99]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/CombDiacritMarks.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter,{768:[611,-485,0,-409,-195],769:[611,-485,0,-331,-117],770:[611,-460,0,-429,-97],771:[611,-466,0,-438,-88],772:[577,-500,0,-452,-74],774:[611,-504,0,-446,-79],776:[612,-519,0,-421,-104],778:[619,-499,0,-344,-182],780:[577,-449,0,-427,-99]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/CombDiacritMarks.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
index 990cdc458..e49ca5711 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter={directory:"Typewriter/Regular",family:"MathJax_Typewriter",testString:"MathJax Typewriter",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Typewriter"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter={directory:"Typewriter/Regular",family:"MathJax_Typewriter",testString:"MathJax Typewriter |",Ranges:[[0,127,"BasicLatin"],[128,65535,"Other"],[768,879,"CombDiacritMarks"]]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_Typewriter"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
index 3b41cccd9..5642d31c6 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter,{160:[0,0,250,0,0],305:[432,-1,525,71,463],567:[432,228,525,48,377],915:[612,1,525,25,489],916:[623,0,525,35,489],920:[621,11,525,56,468],923:[623,-1,525,29,496],926:[611,-1,525,32,492],928:[611,-1,525,16,508],931:[612,-1,525,40,485],933:[623,-1,525,38,487],934:[611,-1,525,41,483],936:[611,-1,525,36,487],937:[622,0,525,31,493],2018:[611,-287,525,175,349],2019:[681,-357,525,176,350],8242:[623,-334,525,211,313]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/Other.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_Typewriter,{160:[0,0,250,0,0],305:[431,-1,525,72,462],567:[431,228,525,48,376],915:[611,0,525,25,488],916:[623,0,525,35,489],920:[621,10,525,56,468],923:[623,-1,525,30,495],926:[611,-1,525,33,491],928:[611,-1,525,16,508],931:[611,-1,525,40,484],933:[622,-1,525,38,486],934:[611,-1,525,41,483],936:[611,-1,525,37,487],937:[622,-1,525,32,492],2018:[611,-287,525,175,349],2019:[681,-357,525,176,350],8242:[623,-334,525,211,313]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/Typewriter/Regular/Other.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
index df3dac130..eca2e376a 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d "+String.fromCharCode(9126)+" "+String.fromCharCode(10752),skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,82,694],84:[717,69,545,34,834],100:[694,11,511,100,567],160:[0,0,250,0,0],8899:[750,250,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,95,797]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_WinChrome"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/WinChrome/Regular/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_WinChrome"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/WinChrome/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
index 312f47a27..581a78404 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_WinIE6,{58048:[438,-63,500,57,417],58049:[438,-63,500,64,422],58050:[430,23,222,91,131],58051:[431,23,389,55,331],58052:[365,-132,778,55,719],58053:[753,175,778,83,694],58054:[753,175,778,82,694],58055:[708,209,778,82,693],58056:[708,209,778,82,694],58058:[694,-306,500,54,444],58059:[695,-306,500,55,444],58060:[367,23,500,54,444],58061:[366,22,500,55,445],58062:[694,195,889,0,860],58063:[694,195,889,0,860],58064:[689,0,778,55,722],58065:[689,0,778,55,722],58066:[575,20,722,84,637],58067:[575,20,722,84,637],58068:[539,41,778,83,694],58069:[576,20,722,84,638],58070:[576,20,722,84,638],58071:[539,41,778,83,694],58072:[716,132,667,56,612],58073:[471,82,667,24,643],58074:[471,82,667,23,643],58075:[601,101,778,15,762],58076:[695,111,944,49,896],58077:[367,-133,778,56,722]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/WinIE6/Regular/AMS.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_WinIE6,{58048:[437,-64,500,58,417],58049:[437,-64,500,64,422],58050:[430,23,222,91,131],58051:[431,23,389,55,331],58052:[365,-132,778,55,719],58053:[753,175,778,83,694],58054:[753,175,778,83,694],58055:[708,209,778,82,693],58056:[708,209,778,82,693],58058:[694,-306,500,55,444],58059:[694,-306,500,55,444],58060:[366,22,500,55,444],58061:[366,22,500,55,444],58062:[694,195,889,0,860],58063:[694,195,889,0,860],58064:[689,0,778,55,722],58065:[689,0,778,55,722],58066:[575,20,722,84,637],58067:[575,20,722,84,637],58068:[539,41,778,83,694],58069:[576,19,722,84,637],58070:[576,19,722,84,637],58071:[539,41,778,83,694],58072:[716,132,667,56,611],58073:[471,82,667,24,643],58074:[471,82,667,23,643],58075:[601,101,778,15,762],58076:[694,111,944,49,895],58077:[367,-133,778,56,722]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/WinIE6/Regular/AMS.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
index ece039953..4ca0a4ab2 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_WinIE6,{57920:[519,18,1150,64,1085],57921:[694,193,575,13,562],57922:[519,18,1150,65,1085],57923:[694,194,575,13,562],57924:[519,18,1150,64,1085],57925:[767,267,575,13,562],57926:[724,195,1150,64,1084],57927:[724,193,1150,64,1086],57928:[695,224,1150,65,1085],57929:[694,224,1150,64,1085],57930:[548,47,1150,64,1084],57931:[548,46,1150,47,1102],57932:[694,16,639,0,640],57933:[710,17,628,60,657],57934:[694,-1,639,64,574],57935:[686,24,958,56,901],57936:[587,86,767,97,670],57937:[588,86,767,95,670],57938:[750,250,575,63,511],57939:[820,180,958,78,989],57940:[451,8,894,65,831],57941:[452,8,1150,65,1084],57942:[715,0,722,55,676],57943:[750,249,319,129,190],57944:[750,248,575,145,430],57945:[604,17,767,64,702],57946:[604,17,767,64,702],57947:[603,16,767,64,702],57948:[604,16,767,64,702],57949:[711,211,569,64,632],57950:[391,-109,894,64,828],57951:[524,-32,894,64,829],57952:[712,210,894,64,830],57953:[505,3,894,64,829],57954:[697,199,894,96,797],57955:[697,199,894,96,797],57956:[618,117,1150,64,1085],57957:[619,116,1150,64,1085],57958:[587,85,894,96,797],57959:[587,86,894,96,797],57960:[697,199,894,96,797],57961:[697,199,894,96,797],57962:[632,132,894,64,828],57963:[632,132,894,64,828],57964:[693,-1,894,64,829],57965:[711,-1,1022,68,953],57966:[500,210,1022,68,953],57967:[711,211,1150,65,1084],57968:[720,130,894,63,829],57969:[711,24,894,65,828],57970:[719,154,894,64,828],57971:[720,130,894,32,861],57972:[750,17,447,63,382],57973:[741,223,447,56,390],57974:[724,224,447,63,383]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/WinIE6/Regular/Bold.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_WinIE6,{57920:[518,17,1150,64,1084],57921:[694,193,575,14,561],57922:[518,17,1150,65,1085],57923:[694,194,575,14,561],57924:[518,17,1150,64,1085],57925:[767,267,575,14,561],57926:[724,194,1150,64,1084],57927:[724,193,1150,64,1085],57928:[694,224,1150,65,1085],57929:[694,224,1150,64,1085],57930:[547,46,1150,64,1084],57931:[547,46,1150,47,1102],57932:[694,16,639,1,640],57933:[710,17,628,60,657],57934:[694,-1,639,64,574],57935:[686,24,958,56,901],57936:[587,86,767,97,670],57937:[587,86,767,96,670],57938:[750,250,575,63,511],57939:[820,180,958,78,988],57940:[451,8,894,65,830],57941:[452,8,1150,65,1084],57942:[714,0,722,55,676],57943:[750,249,319,129,190],57944:[750,248,575,145,430],57945:[604,17,767,64,702],57946:[604,16,767,64,702],57947:[603,16,767,64,702],57948:[604,16,767,64,702],57949:[711,211,569,64,632],57950:[391,-109,894,64,828],57951:[524,-32,894,64,829],57952:[711,210,894,64,829],57953:[505,3,894,64,829],57954:[697,199,894,96,797],57955:[697,199,894,96,797],57956:[617,116,1150,64,1085],57957:[618,116,1150,64,1085],57958:[587,85,894,96,797],57959:[587,86,894,96,796],57960:[697,199,894,96,797],57961:[697,199,894,96,796],57962:[632,132,894,64,828],57963:[632,132,894,64,828],57964:[693,-1,894,65,829],57965:[711,-1,1022,69,953],57966:[500,210,1022,68,953],57967:[711,211,1150,65,1084],57968:[719,129,894,64,829],57969:[711,24,894,65,828],57970:[719,154,894,64,828],57971:[719,129,894,32,861],57972:[750,17,447,64,381],57973:[741,223,447,57,389],57974:[724,224,447,63,382]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/WinIE6/Regular/Bold.js");
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
index 098e4f091..ba3767391 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
  */
 
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+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS.MathJax_WinIE6={directory:"WinIE6/Regular",family:"MathJax_WinIE6",testString:"\uE247 \uE257 \uE2CF",skew:{57869:0.0833,57933:0.0958},Ranges:[[57920,57983,"Bold"],[58048,58079,"AMS"]],32:[0,0,250,0,0],160:[0,0,250,0,0],57856:[511,11,1000,55,944],57857:[694,193,500,17,483],57858:[511,11,1000,56,944],57859:[694,194,500,17,483],57860:[511,11,1000,55,944],57861:[772,272,500,17,483],57862:[720,195,1000,29,944],57863:[720,195,1000,55,970],57864:[695,220,1000,55,970],57865:[695,220,1000,29,944],57866:[525,24,1000,56,944],57867:[526,25,1000,34,966],57868:[694,22,556,0,556],57869:[715,22,531,42,566],57870:[694,0,556,56,500],57871:[683,33,833,46,786],57872:[540,40,667,84,583],57873:[540,40,667,83,582],57874:[750,250,500,56,445],57875:[800,200,833,72,853],57876:[442,11,778,56,722],57877:[442,11,1000,55,944],57878:[694,0,722,55,666],57879:[750,249,278,119,159],57880:[750,250,500,132,367],57881:[598,22,667,55,611],57882:[598,22,667,55,611],57883:[598,22,667,55,611],57884:[598,22,667,55,611],57885:[716,216,417,55,472],57886:[367,-133,778,55,722],57887:[483,-55,778,55,722],57888:[716,215,778,56,722],57889:[464,-36,778,56,722],57890:[636,138,778,83,694],57891:[636,138,778,83,694],57892:[568,67,1000,56,944],57893:[567,67,1000,55,944],57894:[540,40,778,84,694],57895:[540,40,778,83,693],57896:[636,138,778,84,694],57897:[636,138,778,83,693],57898:[583,83,778,56,722],57899:[583,83,778,56,722],57900:[668,0,778,55,723],57901:[716,0,889,59,828],57902:[500,215,889,59,828],57903:[715,215,1000,56,944],57904:[727,130,778,55,723],57905:[716,33,778,55,723],57906:[727,162,778,55,723],57907:[726,130,778,28,750],57908:[750,22,389,55,332],57909:[734,223,389,65,324],57910:[723,223,389,55,333],57984:[0,1000,944,55,888],57985:[0,1000,1056,56,999],57986:[40,1160,1000,111,1020],57987:[21,621,333,145,188],57988:[21,621,556,145,410],57989:[0,1111,472,55,610],57990:[0,1111,472,55,610],57991:[0,600,667,112,555],57992:[0,600,667,112,555],57993:[1,601,667,312,355],58000:[0,1400,1278,56,1221],58001:[0,1400,1444,55,1388],58002:[40,1760,1000,111,1020],58005:[0,2222,556,55,944],58006:[0,2222,556,55,944],58018:[40,2360,1000,111,1020],58034:[40,2960,1000,111,1020]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"MathJax_WinIE6"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/WinIE6/Regular/Main.js"]);
 
diff --git a/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/jax/output/HTML-CSS/fonts/TeX/fontdata.js
index 112d6d6a3..28bdf5fac 100644
--- a/jax/output/HTML-CSS/fonts/TeX/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/TeX/fontdata.js
@@ -12,5 +12,5 @@
  *      http://www.apache.org/licenses/LICENSE-2.0
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v={offsetAR:57920,variantAR:"-WinIE6",remap:w};g.Augment({FONTDATA:{VARIANT:{normal:q,bold:v,italic:q,"bold-italic":v,"-largeOp":{fonts:[u,c,d,f],remap:{8719:58000,8721:58001,8747:58005,8750:58006}},"-smallOp":{fonts:[u,d,f],remap:{8719:57984,8721:57985,8747:57989,8750:57990}},"-WinIE6":{fonts:[u]}},DELIMITERS:{8730:{HW:{0:[1,u,null,57875],1:[1.2,u,null,57986],2:[1.8,u,null,58002],3:[2.4,u,null,58018],4:[3,u,null,58034]}},124:{stretch:{ext:[57879,u]}},8739:{HW:{0:[1,u,null,57879]},stretch:{ext:[57879,u]}},9168:{HW:{1:[1,u,null,57879]},stretch:{ext:[57879,u]}},8741:{HW:{0:[1,u,null,57880]},stretch:{ext:[57880,u]}},8592:{HW:{0:[0.889,u,null,57856]},stretch:{left:[57856,u]}},8593:{HW:{0:[0.888,u,null,57857]},stretch:{top:[57991,u],ext:[57993,u]}},8594:{HW:{0:[0.889,u,null,57858]},stretch:{right:[57858,u]}},8595:{HW:{0:[0.888,u,null,57859]},stretch:{bot:[57992,u],ext:[57993,u]}},8596:{HW:{0:[1,u,null,57860]},stretch:{left:[57856,u],right:[57858,u]}},8597:{HW:{0:[1.044,u,null,57859]},stretch:{top:[57991,u],bot:[57992,u],ext:[57993,u]}}}}})}},Chrome:function(r){if(r.isPC&&!MathJax.Hub.Browser.versionAtLeast("5.0")){var q="-WinChrome";g.Augment({FONTDATA:{VARIANT:{normal:{remap:{62:[62,q]}},bold:{remap:{58097:[62,q]}},italic:{remap:{100:[100,q]}},"-tex-caligraphic":{remap:{84:[84,q]}},"-largeOp":{remap:{10752:[10752,q]}},"-smallOp":{remap:{8899:[8899,q]}},"-WinChrome":{fonts:["MathJax_WinChrome"]}},DELIMITERS:{93:{stretch:{bot:[9126,"MathJax_WinChrome"]}},8971:{stretch:{bot:[9126,"MathJax_WinChrome"]}}}}});g.FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var t=g.FONTDATA.FONTS,s=g.config.availableFonts;var r,q=[];if(g.allowWebFonts){for(r in t){if(t[r].family){if(s&&s.length&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}else{t[r].isWebFont=true;if(g.FontFaceBug){t[r].family=r}q.push(g.Font.fontFace(r))}}}if(!g.config.preloadWebFonts){g.config.preloadWebFonts=[]}g.config.preloadWebFonts.push(f,h,d);if(q.length){g.config.styles["@font-face"]=q}}else{if(s&&s.length){for(r in t){if(t[r].family&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}}}}})();l.loadComplete(g.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
 
diff --git a/jax/output/HTML-CSS/jax.js b/jax/output/HTML-CSS/jax.js
index 1b99a24d6..387a886ad 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(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;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(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_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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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},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[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.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(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
+(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*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,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(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(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.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(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.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 ! 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k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.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"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.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 k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);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(j){}}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 g.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(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.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:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.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;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},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.innerHTML="";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(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).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||0)}}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(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=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&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.family&&!j.hasVariant){if(!j.weight&&j.mathvariant.match(/bold/)){j.weight="bold"}if(!j.style&&j.mathvariant.match(/italic/)){j.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.family,style:j.style,weight:j.weight}}}if(j.weight==="bold"){k={normal:f.VARIANT.BOLD,italic:f.VARIANT.BOLDITALIC,fraktur:f.VARIANT.BOLDFRAKTUR,script:f.VARIANT.BOLDSCRIPT,"sans-serif":f.VARIANT.BOLDSANSSERIF,"sans-serif-italic":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.weight==="normal"){k={bold:f.VARIANT.normal,"bold-italic":f.VARIANT.ITALIC,"bold-fraktur":f.VARIANT.FRAKTUR,"bold-script":f.VARIANT.SCRIPT,"bold-sans-serif":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.SANSSERIFITALIC}[k]||k}}if(j.style==="italic"){k={normal:f.VARIANT.ITALIC,bold:f.VARIANT.BOLDITALIC,"sans-serif":f.VARIANT.SANSSERIFITALIC,"bold-sans-serif":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.style==="normal"){k={italic:f.VARIANT.NORMAL,"bold-italic":f.VARIANT.BOLD,"sans-serif-italic":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.BOLDSANSSERIF}[k]||k}}return 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.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(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.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 f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.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]=d.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")}}}d.MeasureSpans(n);var l=-d.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==-d.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=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.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=d.TeX.big_op_spacing1*O*F;w=d.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=d.TeX.big_op_spacing2*O*F;w=d.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}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}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&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.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}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.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:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
index 329a711bf..03b959663 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,23 +21,23 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
-    0x2190: [438,-63,500,64,422],      // LEFTWARDS ARROW
-    0x2192: [438,-63,500,57,417],      // RIGHTWARDS ARROW
+    0x2190: [437,-64,500,64,422],      // LEFTWARDS ARROW
+    0x2192: [437,-64,500,58,417],      // RIGHTWARDS ARROW
     0x219A: [437,-60,1000,56,942],     // LEFTWARDS ARROW WITH STROKE
     0x219B: [437,-60,1000,54,942],     // RIGHTWARDS ARROW WITH STROKE
     0x219E: [417,-83,1000,56,944],     // LEFTWARDS TWO HEADED ARROW
     0x21A0: [417,-83,1000,55,943],     // RIGHTWARDS TWO HEADED ARROW
     0x21A2: [417,-83,1111,56,1031],    // LEFTWARDS ARROW WITH TAIL
     0x21A3: [417,-83,1111,79,1054],    // RIGHTWARDS ARROW WITH TAIL
-    0x21AB: [575,42,1000,56,964],      // LEFTWARDS ARROW WITH LOOP
-    0x21AC: [575,42,1000,35,943],      // RIGHTWARDS ARROW WITH LOOP
+    0x21AB: [575,41,1000,56,964],      // LEFTWARDS ARROW WITH LOOP
+    0x21AC: [575,41,1000,35,943],      // RIGHTWARDS ARROW WITH LOOP
     0x21AD: [417,-83,1389,57,1331],    // LEFT RIGHT WAVE ARROW
     0x21AE: [437,-60,1000,56,942],     // LEFT RIGHT ARROW WITH STROKE
     0x21B0: [722,0,500,56,444],        // UPWARDS ARROW WITH TIP LEFTWARDS
     0x21B1: [722,0,500,55,443],        // UPWARDS ARROW WITH TIP RIGHTWARDS
-    0x21B6: [462,1,1000,17,950],       // ANTICLOCKWISE TOP SEMICIRCLE ARROW
+    0x21B6: [461,1,1000,17,950],       // ANTICLOCKWISE TOP SEMICIRCLE ARROW
     0x21B7: [460,1,1000,46,982],       // CLOCKWISE TOP SEMICIRCLE ARROW
-    0x21BA: [650,83,778,55,722],       // ANTICLOCKWISE OPEN CIRCLE ARROW
+    0x21BA: [650,83,778,56,722],       // ANTICLOCKWISE OPEN CIRCLE ARROW
     0x21BB: [650,83,778,56,721],       // CLOCKWISE OPEN CIRCLE ARROW
     0x21BE: [694,194,417,188,375],     // UPWARDS HARPOON WITH BARB RIGHTWARDS
     0x21BF: [694,194,417,41,228],      // UPWARDS HARPOON WITH BARB LEFTWARDS
@@ -46,19 +46,19 @@ MathJax.Hub.Insert(
     0x21C4: [667,0,1000,55,944],       // RIGHTWARDS ARROW OVER LEFTWARDS ARROW
     0x21C6: [667,0,1000,55,944],       // LEFTWARDS ARROW OVER RIGHTWARDS ARROW
     0x21C7: [583,83,1000,55,944],      // LEFTWARDS PAIRED ARROWS
-    0x21C8: [694,194,833,83,749],      // UPWARDS PAIRED ARROWS
+    0x21C8: [694,193,833,83,749],      // UPWARDS PAIRED ARROWS
     0x21C9: [583,83,1000,55,944],      // RIGHTWARDS PAIRED ARROWS
     0x21CA: [694,194,833,83,749],      // DOWNWARDS PAIRED ARROWS
     0x21CB: [514,14,1000,55,944],      // LEFTWARDS HARPOON OVER RIGHTWARDS HARPOON
     0x21CC: [514,14,1000,55,944],      // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON
     0x21CD: [534,35,1000,54,942],      // LEFTWARDS DOUBLE ARROW WITH STROKE
     0x21CE: [534,37,1000,32,965],      // LEFT RIGHT DOUBLE ARROW WITH STROKE
-    0x21CF: [534,35,1000,54,943],      // RIGHTWARDS DOUBLE ARROW WITH STROKE
+    0x21CF: [534,35,1000,55,943],      // RIGHTWARDS DOUBLE ARROW WITH STROKE
     0x21DA: [611,111,1000,76,944],     // LEFTWARDS TRIPLE ARROW
     0x21DB: [611,111,1000,55,923],     // RIGHTWARDS TRIPLE ARROW
     0x21DD: [417,-83,1000,56,943],     // RIGHTWARDS SQUIGGLE ARROW
-    0x21E0: [438,-63,1334,64,1252],    // LEFTWARDS DASHED ARROW
-    0x21E2: [438,-63,1334,83,1251]     // RIGHTWARDS DASHED ARROW
+    0x21E0: [437,-64,1334,64,1251],    // LEFTWARDS DASHED ARROW
+    0x21E2: [437,-64,1334,84,1251]     // RIGHTWARDS DASHED ARROW
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
index c7687d9f6..3a2edd15e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,20 +22,20 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
     0x20: [0,0,250,0,0],               // SPACE
-    0x41: [701,2,722,16,703],          // LATIN CAPITAL LETTER A
+    0x41: [701,1,722,17,703],          // LATIN CAPITAL LETTER A
     0x42: [683,1,667,11,620],          // LATIN CAPITAL LETTER B
     0x43: [702,19,722,39,684],         // LATIN CAPITAL LETTER C
     0x44: [683,1,722,16,688],          // LATIN CAPITAL LETTER D
     0x45: [683,1,667,12,640],          // LATIN CAPITAL LETTER E
-    0x46: [683,1,611,12,585],          // LATIN CAPITAL LETTER F
+    0x46: [683,1,611,12,584],          // LATIN CAPITAL LETTER F
     0x47: [702,19,778,39,749],         // LATIN CAPITAL LETTER G
     0x48: [683,1,778,14,762],          // LATIN CAPITAL LETTER H
     0x49: [683,1,389,20,369],          // LATIN CAPITAL LETTER I
     0x4A: [683,77,500,6,478],          // LATIN CAPITAL LETTER J
-    0x4B: [684,1,778,22,768],          // LATIN CAPITAL LETTER K
+    0x4B: [683,1,778,22,768],          // LATIN CAPITAL LETTER K
     0x4C: [683,1,667,12,640],          // LATIN CAPITAL LETTER L
-    0x4D: [684,1,944,17,926],          // LATIN CAPITAL LETTER M
-    0x4E: [684,20,722,20,702],         // LATIN CAPITAL LETTER N
+    0x4D: [683,1,944,17,926],          // LATIN CAPITAL LETTER M
+    0x4E: [683,20,722,20,702],         // LATIN CAPITAL LETTER N
     0x4F: [701,19,778,34,742],         // LATIN CAPITAL LETTER O
     0x50: [683,1,611,16,597],          // LATIN CAPITAL LETTER P
     0x51: [701,181,778,34,742],        // LATIN CAPITAL LETTER Q
@@ -43,12 +43,12 @@ MathJax.Hub.Insert(
     0x53: [702,12,556,28,528],         // LATIN CAPITAL LETTER S
     0x54: [683,1,667,33,635],          // LATIN CAPITAL LETTER T
     0x55: [683,19,722,16,709],         // LATIN CAPITAL LETTER U
-    0x56: [684,20,722,0,719],          // LATIN CAPITAL LETTER V
-    0x57: [684,19,1000,5,994],         // LATIN CAPITAL LETTER W
-    0x58: [684,1,722,16,705],          // LATIN CAPITAL LETTER X
+    0x56: [683,20,722,0,719],          // LATIN CAPITAL LETTER V
+    0x57: [683,19,1000,5,994],         // LATIN CAPITAL LETTER W
+    0x58: [683,1,722,16,705],          // LATIN CAPITAL LETTER X
     0x59: [683,1,722,16,704],          // LATIN CAPITAL LETTER Y
     0x5A: [683,1,667,29,635],          // LATIN CAPITAL LETTER Z
-    0x6B: [684,2,556,17,535]           // LATIN SMALL LETTER K
+    0x6B: [683,1,556,17,534]           // LATIN SMALL LETTER K
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
index e3c4b5262..e203c2c8c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,10 +21,10 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
-    0x250C: [694,-306,500,54,444],     // BOX DRAWINGS LIGHT DOWN AND RIGHT
-    0x2510: [695,-306,500,55,444],     // BOX DRAWINGS LIGHT DOWN AND LEFT
-    0x2514: [367,23,500,54,444],       // BOX DRAWINGS LIGHT UP AND RIGHT
-    0x2518: [366,22,500,55,445],       // BOX DRAWINGS LIGHT UP AND LEFT
+    0x250C: [694,-306,500,55,444],     // BOX DRAWINGS LIGHT DOWN AND RIGHT
+    0x2510: [694,-306,500,55,444],     // BOX DRAWINGS LIGHT DOWN AND LEFT
+    0x2514: [366,22,500,55,444],       // BOX DRAWINGS LIGHT UP AND RIGHT
+    0x2518: [366,22,500,55,444],       // BOX DRAWINGS LIGHT UP AND LEFT
     0x2571: [694,195,889,0,860],       // BOX DRAWINGS LIGHT DIAGONAL UPPER RIGHT TO LOWER LEFT
     0x2572: [694,195,889,0,860]        // BOX DRAWINGS LIGHT DIAGONAL UPPER LEFT TO LOWER RIGHT
   }
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
index aecc80d10..7ea05bc64 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
index 58517873f..2b7895366 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
-    0x2713: [707,35,833,84,749],       // CHECK MARK
+    0x2713: [706,34,833,84,749],       // CHECK MARK
     0x2720: [716,22,833,48,786]        // MALTESE CROSS
   }
 );
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
index ae4ba02c0..61d6909f5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
index 821be232c..620ed028b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
index b2573c773..97cbabcdb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,10 +26,10 @@ MathJax.Hub.Insert(
     0x25B2: [575,20,722,84,637],       // BLACK UP-POINTING TRIANGLE
     0x25B3: [575,20,722,84,637],       // WHITE UP-POINTING TRIANGLE
     0x25B6: [539,41,778,83,694],       // BLACK RIGHT-POINTING TRIANGLE
-    0x25BC: [576,20,722,84,638],       // BLACK DOWN-POINTING TRIANGLE
-    0x25BD: [576,20,722,84,638],       // WHITE DOWN-POINTING TRIANGLE
+    0x25BC: [576,19,722,84,637],       // BLACK DOWN-POINTING TRIANGLE
+    0x25BD: [576,19,722,84,637],       // WHITE DOWN-POINTING TRIANGLE
     0x25C0: [539,41,778,83,694],       // BLACK LEFT-POINTING TRIANGLE
-    0x25CA: [716,132,667,56,612]       // LOZENGE
+    0x25CA: [716,132,667,56,611]       // LOZENGE
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
index 0b76d982c..e3c36ebb5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
index 6106d4f2c..1a11a2f79 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,9 +22,9 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
-    0xA5: [684,0,750,11,738],          // YEN SIGN
+    0xA5: [683,0,750,11,738],          // YEN SIGN
     0xAE: [709,175,947,32,915],        // REGISTERED SIGN
-    0xF0: [749,21,556,42,510]          // LATIN SMALL LETTER ETH
+    0xF0: [749,21,556,42,509]          // LATIN SMALL LETTER ETH
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
index 39b5f45ce..30d4346ac 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
index 642a2a95b..5796c151d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,12 +22,12 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
     0x210F: [695,13,540,42,562],       // stix-/hbar - Planck's over 2pi
-    0x2127: [685,22,722,44,675],       // INVERTED OHM SIGN
+    0x2127: [684,22,722,44,675],       // INVERTED OHM SIGN
     0x2132: [695,1,556,55,497],        // TURNED CAPITAL F
     0x2136: [763,21,667,-22,687],      // BET SYMBOL
-    0x2137: [764,43,444,-22,422],      // GIMEL SYMBOL
+    0x2137: [764,43,444,-22,421],      // GIMEL SYMBOL
     0x2138: [764,43,667,54,640],       // DALET SYMBOL
-    0x2141: [706,23,639,37,577]        // TURNED SANS-SERIF CAPITAL G
+    0x2141: [705,23,639,37,577]        // TURNED SANS-SERIF CAPITAL G
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
index 6a88edd33..d35d0ce91 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'] = {
   directory: 'AMS/Regular',
   family: 'MathJax_AMS',
-  testString: "MATHJAX AMS",
+  testString: "MATHJAX AMS \u02C6",
   Ranges: [
     [0x0,0x7F,"BBBold"],
     [0x80,0xFF,"Latin1Supplement"],
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
index 31482d5b0..2ec985d4e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,15 +22,15 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
     0x2201: [846,21,500,56,444],       // COMPLEMENT
-    0x2204: [860,166,556,55,498],      // THERE DOES NOT EXIST
+    0x2204: [860,166,556,55,497],      // THERE DOES NOT EXIST
     0x2205: [587,3,778,54,720],        // EMPTY SET
-    0x220D: [440,1,429,102,457],       // SMALL CONTAINS AS MEMBER
-    0x2212: [270,-230,500,83,417],     // MINUS SIGN
-    0x2214: [766,94,778,56,722],       // DOT PLUS
+    0x220D: [440,1,429,102,456],       // SMALL CONTAINS AS MEMBER
+    0x2212: [270,-230,500,84,417],     // MINUS SIGN
+    0x2214: [766,93,778,57,722],       // DOT PLUS
     0x2216: [430,23,778,91,685],       // SET MINUS
     0x221D: [472,-28,778,56,722],      // PROPORTIONAL TO
     0x2220: [694,0,722,55,666],        // ANGLE
-    0x2221: [714,20,722,55,667],       // MEASURED ANGLE
+    0x2221: [714,20,722,55,666],       // MEASURED ANGLE
     0x2222: [551,51,722,55,666],       // SPHERICAL ANGLE
     0x2223: [430,23,222,91,131],       // DIVIDES
     0x2224: [750,252,278,-21,297],     // DOES NOT DIVIDE
@@ -40,33 +40,33 @@ MathJax.Hub.Insert(
     0x2235: [471,82,667,23,643],       // BECAUSE
     0x223C: [365,-132,778,55,719],     // TILDE OPERATOR
     0x223D: [367,-133,778,56,722],     // REVERSED TILDE
-    0x2241: [468,-32,778,55,719],      // stix-not, vert, similar
+    0x2241: [467,-32,778,55,719],      // stix-not, vert, similar
     0x2242: [463,-34,778,55,720],      // MINUS TILDE
     0x2246: [652,155,778,54,720],      // APPROXIMATELY BUT NOT ACTUALLY EQUAL TO
-    0x2248: [482,-50,778,54,719],      // ALMOST EQUAL TO
+    0x2248: [481,-50,778,55,719],      // ALMOST EQUAL TO
     0x224A: [579,39,778,51,725],       // ALMOST EQUAL OR EQUAL TO
-    0x224E: [492,-8,778,55,722],       // GEOMETRICALLY EQUIVALENT TO
-    0x224F: [492,-133,778,55,722],     // DIFFERENCE BETWEEN
-    0x2251: [609,108,778,55,722],      // GEOMETRICALLY EQUAL TO
+    0x224E: [492,-8,778,56,722],       // GEOMETRICALLY EQUIVALENT TO
+    0x224F: [492,-133,778,56,722],     // DIFFERENCE BETWEEN
+    0x2251: [609,108,778,56,722],      // GEOMETRICALLY EQUAL TO
     0x2252: [601,101,778,15,762],      // APPROXIMATELY EQUAL TO OR THE IMAGE OF
     0x2253: [601,102,778,14,762],      // IMAGE OF OR APPROXIMATELY EQUAL TO
-    0x2256: [367,-133,778,55,722],     // RING IN EQUAL TO
-    0x2257: [721,-133,778,55,722],     // RING EQUAL TO
-    0x225C: [859,-133,778,55,723],     // DELTA EQUAL TO
+    0x2256: [367,-133,778,56,722],     // RING IN EQUAL TO
+    0x2257: [721,-133,778,56,722],     // RING EQUAL TO
+    0x225C: [859,-133,778,56,723],     // DELTA EQUAL TO
     0x2266: [753,175,778,83,694],      // LESS-THAN OVER EQUAL TO
-    0x2267: [753,175,778,82,694],      // GREATER-THAN OVER EQUAL TO
+    0x2267: [753,175,778,83,694],      // GREATER-THAN OVER EQUAL TO
     0x2268: [752,286,778,82,693],      // stix-less, vert, not double equals
     0x2269: [752,286,778,82,693],      // stix-gt, vert, not double equals
     0x226C: [750,250,500,74,425],      // BETWEEN
     0x226E: [708,209,778,82,693],      // stix-not, vert, less-than
-    0x226F: [708,209,778,82,694],      // stix-not, vert, greater-than
+    0x226F: [708,209,778,82,693],      // stix-not, vert, greater-than
     0x2270: [801,303,778,82,694],      // stix-not, vert, less-than-or-equal
-    0x2271: [801,303,778,82,695],      // stix-not, vert, greater-than-or-equal
+    0x2271: [801,303,778,82,694],      // stix-not, vert, greater-than-or-equal
     0x2272: [732,228,778,56,722],      // stix-less-than or (contour) similar
-    0x2273: [732,229,778,56,722],      // stix-greater-than or (contour) similar
-    0x2276: [681,253,778,43,735],      // LESS-THAN OR GREATER-THAN
+    0x2273: [732,228,778,56,722],      // stix-greater-than or (contour) similar
+    0x2276: [681,253,778,44,734],      // LESS-THAN OR GREATER-THAN
     0x2277: [681,253,778,83,694],      // GREATER-THAN OR LESS-THAN
-    0x227C: [580,154,778,83,695],      // PRECEDES OR EQUAL TO
+    0x227C: [580,153,778,83,694],      // PRECEDES OR EQUAL TO
     0x227D: [580,154,778,82,694],      // SUCCEEDS OR EQUAL TO
     0x227E: [732,228,778,56,722],      // PRECEDES OR EQUIVALENT TO
     0x227F: [732,228,778,56,722],      // SUCCEEDS OR EQUIVALENT TO
@@ -77,10 +77,10 @@ MathJax.Hub.Insert(
     0x228A: [635,241,778,84,693],      // stix-subset, not equals, variant
     0x228B: [635,241,778,82,691],      // stix-superset, not equals, variant
     0x228F: [539,41,778,83,694],       // SQUARE IMAGE OF
-    0x2290: [539,41,778,63,714],       // SQUARE ORIGINAL OF
-    0x229A: [583,82,778,57,721],       // CIRCLED RING OPERATOR
-    0x229B: [583,82,778,57,721],       // CIRCLED ASTERISK OPERATOR
-    0x229D: [583,82,778,57,721],       // CIRCLED DASH
+    0x2290: [539,41,778,64,714],       // SQUARE ORIGINAL OF
+    0x229A: [582,82,778,57,721],       // CIRCLED RING OPERATOR
+    0x229B: [582,82,778,57,721],       // CIRCLED ASTERISK OPERATOR
+    0x229D: [582,82,778,57,721],       // CIRCLED DASH
     0x229E: [689,0,778,55,722],        // SQUARED PLUS
     0x229F: [689,0,778,55,722],        // SQUARED MINUS
     0x22A0: [689,0,778,55,722],        // SQUARED TIMES
@@ -88,7 +88,7 @@ MathJax.Hub.Insert(
     0x22A8: [694,0,611,55,555],        // TRUE
     0x22A9: [694,0,722,55,666],        // FORCES
     0x22AA: [694,0,889,55,833],        // TRIPLE VERTICAL BAR RIGHT TURNSTILE
-    0x22AC: [695,1,611,-55,555],       // DOES NOT PROVE
+    0x22AC: [695,1,611,-55,554],       // DOES NOT PROVE
     0x22AD: [695,1,611,-55,554],       // NOT TRUE
     0x22AE: [695,1,722,-55,665],       // DOES NOT FORCE
     0x22AF: [695,1,722,-55,665],       // NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
@@ -97,41 +97,41 @@ MathJax.Hub.Insert(
     0x22B4: [636,138,778,83,694],      // NORMAL SUBGROUP OF OR EQUAL TO
     0x22B5: [636,138,778,83,694],      // CONTAINS AS NORMAL SUBGROUP OR EQUAL TO
     0x22B8: [408,-92,1111,55,1055],    // MULTIMAP
-    0x22BA: [431,213,556,56,500],      // INTERCALATE
-    0x22BB: [716,0,611,54,555],        // XOR
-    0x22BC: [716,1,611,55,555],        // NAND
+    0x22BA: [431,212,556,57,500],      // INTERCALATE
+    0x22BB: [716,0,611,55,555],        // XOR
+    0x22BC: [716,0,611,55,555],        // NAND
     0x22C5: [189,0,278,55,222],        // DOT OPERATOR
     0x22C7: [545,44,778,55,720],       // DIVISION TIMES
     0x22C9: [492,-8,778,146,628],      // LEFT NORMAL FACTOR SEMIDIRECT PRODUCT
     0x22CA: [492,-8,778,146,628],      // RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT
-    0x22CB: [695,22,778,55,722],       // LEFT SEMIDIRECT PRODUCT
-    0x22CC: [694,23,778,54,722],       // RIGHT SEMIDIRECT PRODUCT
+    0x22CB: [694,22,778,55,722],       // LEFT SEMIDIRECT PRODUCT
+    0x22CC: [694,22,778,55,722],       // RIGHT SEMIDIRECT PRODUCT
     0x22CD: [464,-36,778,56,722],      // REVERSED TILDE EQUALS
-    0x22CE: [579,21,760,83,676],       // CURLY LOGICAL OR
+    0x22CE: [578,21,760,83,676],       // CURLY LOGICAL OR
     0x22CF: [578,22,760,83,676],       // CURLY LOGICAL AND
-    0x22D0: [540,41,778,84,695],       // DOUBLE SUBSET
-    0x22D1: [541,40,778,82,693],       // DOUBLE SUPERSET
+    0x22D0: [540,40,778,84,694],       // DOUBLE SUBSET
+    0x22D1: [540,40,778,83,693],       // DOUBLE SUPERSET
     0x22D2: [598,22,667,55,611],       // DOUBLE INTERSECTION
-    0x22D3: [599,22,667,55,611],       // DOUBLE UNION
+    0x22D3: [598,22,667,55,611],       // DOUBLE UNION
     0x22D4: [736,22,667,56,611],       // PITCHFORK
     0x22D6: [541,41,778,82,693],       // LESS-THAN WITH DOT
-    0x22D7: [541,41,778,81,693],       // GREATER-THAN WITH DOT
-    0x22D8: [568,68,1333,56,1277],     // VERY MUCH LESS-THAN
-    0x22D9: [568,67,1333,55,1278],     // VERY MUCH GREATER-THAN
-    0x22DA: [886,386,778,83,675],      // stix-less, equal, slanted, greater
-    0x22DB: [886,386,778,82,674],      // stix-greater, equal, slanted, less
-    0x22DE: [734,0,778,83,695],        // EQUAL TO OR PRECEDES
-    0x22DF: [735,0,778,82,695],        // EQUAL TO OR SUCCEEDS
+    0x22D7: [541,41,778,82,693],       // GREATER-THAN WITH DOT
+    0x22D8: [568,67,1333,56,1277],     // VERY MUCH LESS-THAN
+    0x22D9: [568,67,1333,55,1277],     // VERY MUCH GREATER-THAN
+    0x22DA: [886,386,778,83,674],      // stix-less, equal, slanted, greater
+    0x22DB: [886,386,778,83,674],      // stix-greater, equal, slanted, less
+    0x22DE: [734,0,778,83,694],        // EQUAL TO OR PRECEDES
+    0x22DF: [734,0,778,82,694],        // EQUAL TO OR SUCCEEDS
     0x22E0: [801,303,778,82,693],      // stix-not (vert) precedes or contour equals
-    0x22E1: [801,303,778,81,694],      // stix-not (vert) succeeds or contour equals
+    0x22E1: [801,303,778,82,694],      // stix-not (vert) succeeds or contour equals
     0x22E6: [730,359,778,55,719],      // LESS-THAN BUT NOT EQUIVALENT TO
     0x22E7: [730,359,778,55,719],      // GREATER-THAN BUT NOT EQUIVALENT TO
-    0x22E8: [730,360,778,55,719],      // PRECEDES BUT NOT EQUIVALENT TO
+    0x22E8: [730,359,778,55,719],      // PRECEDES BUT NOT EQUIVALENT TO
     0x22E9: [730,359,778,55,719],      // SUCCEEDS BUT NOT EQUIVALENT TO
     0x22EA: [706,208,778,82,693],      // NOT NORMAL SUBGROUP OF
     0x22EB: [706,208,778,82,693],      // DOES NOT CONTAIN AS NORMAL SUBGROUP
-    0x22EC: [802,303,778,81,693],      // stix-not, vert, left triangle, equals
-    0x22ED: [801,303,778,82,694]       // stix-not, vert, right triangle, equals
+    0x22EC: [802,303,778,82,693],      // stix-not, vert, left triangle, equals
+    0x22ED: [801,303,778,82,693]       // stix-not, vert, right triangle, equals
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
index 24b6b502f..045e97dd0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
-    0x29EB: [716,132,667,56,612]       // BLACK LOZENGE
+    0x29EB: [716,132,667,56,611]       // BLACK LOZENGE
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
index 2a1839d12..7d3ae0782 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
-    0x2605: [695,111,944,49,896]       // BLACK STAR
+    0x2605: [694,111,944,49,895]       // BLACK STAR
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
index c5c32b66d..164d8bb4d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
index f31d88032..71ba3bcfb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,22 +21,22 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'],
   {
-    0xE006: [430,23,222,-20,240],      // MJ-TeX: small does not divide
-    0xE007: [431,24,389,-20,407],      // MJ-TeX: small not parallel
-    0xE008: [605,85,778,55,719],       // MJ-TeX: greek small letter digamma (for IE)
-    0xE009: [434,6,667,37,734],        // MJ-TeX: greek kappa symbol (for IE)
-    0xE00C: [752,284,778,81,693],      // MJ-TeX: less over not-equal
-    0xE00D: [752,284,778,81,693],      // MJ-TeX: greater over not-equal
-    0xE00E: [919,421,778,82,694],      // MJ-TeX: not greater, double equals
-    0xE00F: [801,303,778,81,695],      // MJ-TeX: not greater-or-equal slanted
-    0xE010: [801,303,778,82,694],      // MJ-TeX: not less-or-equal, slanted
-    0xE011: [919,421,778,82,694],      // MJ-TeX: not less, double equals
-    0xE016: [828,330,778,82,694],      // MJ-TeX: not subset, double equals
-    0xE017: [752,332,778,82,694],      // MJ-TeX: not subset, double equals, short slash
-    0xE018: [829,330,778,82,695],      // MJ-TeX: not superset, double equals
-    0xE019: [752,333,778,81,693],      // MJ-TeX: not superset, double equals, short slash
-    0xE01A: [635,256,778,84,693],      // MJ-TeX: not subset or equal, short slash
-    0xE01B: [634,254,778,82,691]       // MJ-TeX: not superset or equal, short slash
+    0xE006: [430,23,222,-20,240],      // ??
+    0xE007: [431,24,389,-20,407],      // ??
+    0xE008: [605,85,778,55,719],       // ??
+    0xE009: [434,6,667,37,734],        // ??
+    0xE00C: [752,284,778,82,693],      // ??
+    0xE00D: [752,284,778,82,693],      // ??
+    0xE00E: [919,421,778,82,694],      // stix-not greater, double equals
+    0xE00F: [801,303,778,82,694],      // stix-not greater-or-equal, slanted
+    0xE010: [801,303,778,82,694],      // stix-not less-or-equal, slanted
+    0xE011: [919,421,778,82,694],      // stix-not less, double equals
+    0xE016: [828,330,778,82,694],      // stix-not subset, double equals
+    0xE017: [752,332,778,82,694],      // ??
+    0xE018: [828,330,778,82,694],      // stix-not superset, double equals
+    0xE019: [752,333,778,82,693],      // ??
+    0xE01A: [634,255,778,84,693],      // ??
+    0xE01B: [634,254,778,82,691]       // ??
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
index d9700d06e..dda769bb5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
index 64725d413..792e32234 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,25 +23,25 @@ MathJax.Hub.Insert(
   {
     0x2A5E: [813,97,611,55,555],       // LOGICAL AND WITH DOUBLE OVERBAR
     0x2A7D: [636,138,778,83,694],      // LESS-THAN OR SLANTED EQUAL TO
-    0x2A7E: [636,138,778,82,694],      // GREATER-THAN OR SLANTED EQUAL TO
-    0x2A85: [762,291,778,54,722],      // LESS-THAN OR APPROXIMATE
-    0x2A86: [763,290,778,54,722],      // GREATER-THAN OR APPROXIMATE
+    0x2A7E: [636,138,778,83,694],      // GREATER-THAN OR SLANTED EQUAL TO
+    0x2A85: [762,290,778,55,722],      // LESS-THAN OR APPROXIMATE
+    0x2A86: [762,290,778,55,722],      // GREATER-THAN OR APPROXIMATE
     0x2A87: [635,241,778,82,693],      // LESS-THAN AND SINGLE-LINE NOT EQUAL TO
-    0x2A88: [635,241,778,81,693],      // GREATER-THAN AND SINGLE-LINE NOT EQUAL TO
+    0x2A88: [635,241,778,82,693],      // GREATER-THAN AND SINGLE-LINE NOT EQUAL TO
     0x2A89: [761,387,778,57,718],      // LESS-THAN AND NOT APPROXIMATE
-    0x2A8A: [761,388,778,57,719],      // GREATER-THAN AND NOT APPROXIMATE
-    0x2A8B: [1003,463,778,83,695],     // LESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THAN
+    0x2A8A: [761,387,778,57,718],      // GREATER-THAN AND NOT APPROXIMATE
+    0x2A8B: [1003,463,778,83,694],     // LESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THAN
     0x2A8C: [1003,463,778,83,694],     // GREATER-THAN ABOVE DOUBLE-LINE EQUAL ABOVE LESS-THAN
     0x2A95: [636,138,778,83,694],      // SLANTED EQUAL TO OR LESS-THAN
     0x2A96: [636,138,778,83,694],      // SLANTED EQUAL TO OR GREATER-THAN
-    0x2AB5: [752,287,778,82,693],      // PRECEDES ABOVE NOT EQUAL TO
-    0x2AB6: [752,286,778,82,694],      // SUCCEEDS ABOVE NOT EQUAL TO
+    0x2AB5: [752,286,778,82,693],      // PRECEDES ABOVE NOT EQUAL TO
+    0x2AB6: [752,286,778,82,693],      // SUCCEEDS ABOVE NOT EQUAL TO
     0x2AB7: [761,294,778,57,717],      // PRECEDES ABOVE ALMOST EQUAL TO
     0x2AB8: [761,294,778,57,717],      // SUCCEEDS ABOVE ALMOST EQUAL TO
-    0x2AB9: [761,337,778,57,719],      // PRECEDES ABOVE NOT ALMOST EQUAL TO
-    0x2ABA: [761,337,778,57,719],      // SUCCEEDS ABOVE NOT ALMOST EQUAL TO
-    0x2AC5: [753,216,778,83,695],      // SUBSET OF ABOVE EQUALS SIGN
-    0x2AC6: [754,215,778,82,694],      // SUPERSET OF ABOVE EQUALS SIGN
+    0x2AB9: [761,337,778,57,718],      // PRECEDES ABOVE NOT ALMOST EQUAL TO
+    0x2ABA: [761,337,778,57,718],      // SUCCEEDS ABOVE NOT ALMOST EQUAL TO
+    0x2AC5: [753,215,778,84,694],      // SUBSET OF ABOVE EQUALS SIGN
+    0x2AC6: [753,215,778,83,694],      // SUPERSET OF ABOVE EQUALS SIGN
     0x2ACB: [783,385,778,82,693],      // stix-subset not double equals, variant
     0x2ACC: [783,385,778,82,693]       // SUPERSET OF ABOVE NOT EQUAL TO
   }
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
index cf24d87af..af172307e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -53,41 +53,41 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Caligraphic-bold'] = {
   },
   0x20: [0,0,250,0,0],               // SPACE
   0x30: [460,17,575,46,528],         // DIGIT ZERO
-  0x31: [462,0,575,80,495],          // DIGIT ONE
-  0x32: [460,1,575,51,518],          // DIGIT TWO
-  0x33: [462,211,575,48,525],        // DIGIT THREE
-  0x34: [469,194,575,31,543],        // DIGIT FOUR
+  0x31: [461,0,575,80,494],          // DIGIT ONE
+  0x32: [460,0,575,51,517],          // DIGIT TWO
+  0x33: [461,211,575,48,525],        // DIGIT THREE
+  0x34: [469,194,575,32,542],        // DIGIT FOUR
   0x35: [461,211,575,57,517],        // DIGIT FIVE
   0x36: [660,17,575,48,526],         // DIGIT SIX
-  0x37: [477,211,575,64,559],        // DIGIT SEVEN
+  0x37: [476,211,575,64,558],        // DIGIT SEVEN
   0x38: [661,17,575,48,526],         // DIGIT EIGHT
   0x39: [461,210,575,48,526],        // DIGIT NINE
-  0x41: [752,49,921,39,989],         // LATIN CAPITAL LETTER A
-  0x42: [705,18,748,40,740],         // LATIN CAPITAL LETTER B
+  0x41: [751,49,921,39,989],         // LATIN CAPITAL LETTER A
+  0x42: [705,17,748,40,740],         // LATIN CAPITAL LETTER B
   0x43: [703,20,613,20,599],         // LATIN CAPITAL LETTER C
-  0x44: [687,0,892,19,885],          // LATIN CAPITAL LETTER D
+  0x44: [686,0,892,20,885],          // LATIN CAPITAL LETTER D
   0x45: [703,16,607,37,627],         // LATIN CAPITAL LETTER E
   0x46: [686,30,814,17,930],         // LATIN CAPITAL LETTER F
-  0x47: [703,114,682,50,671],        // LATIN CAPITAL LETTER G
-  0x48: [686,49,987,19,946],         // LATIN CAPITAL LETTER H
+  0x47: [703,113,682,50,671],        // LATIN CAPITAL LETTER G
+  0x48: [686,48,987,20,946],         // LATIN CAPITAL LETTER H
   0x49: [686,0,642,-27,746],         // LATIN CAPITAL LETTER I
-  0x4A: [687,114,779,53,937],        // LATIN CAPITAL LETTER J
-  0x4B: [703,18,871,40,834],         // LATIN CAPITAL LETTER K
-  0x4C: [703,17,788,40,751],         // LATIN CAPITAL LETTER L
+  0x4A: [686,114,779,53,937],        // LATIN CAPITAL LETTER J
+  0x4B: [703,17,871,40,834],         // LATIN CAPITAL LETTER K
+  0x4C: [703,17,788,41,751],         // LATIN CAPITAL LETTER L
   0x4D: [703,49,1378,38,1353],       // LATIN CAPITAL LETTER M
-  0x4E: [841,49,937,-24,1105],       // LATIN CAPITAL LETTER N
-  0x4F: [704,17,906,63,882],         // LATIN CAPITAL LETTER O
-  0x50: [687,67,810,20,846],         // LATIN CAPITAL LETTER P
-  0x51: [703,147,939,120,905],       // LATIN CAPITAL LETTER Q
-  0x52: [687,18,990,20,981],         // LATIN CAPITAL LETTER R
-  0x53: [704,16,696,25,722],         // LATIN CAPITAL LETTER S
+  0x4E: [840,49,937,-24,1105],       // LATIN CAPITAL LETTER N
+  0x4F: [703,17,906,63,882],         // LATIN CAPITAL LETTER O
+  0x50: [686,67,810,20,846],         // LATIN CAPITAL LETTER P
+  0x51: [703,146,939,120,905],       // LATIN CAPITAL LETTER Q
+  0x52: [686,17,990,20,981],         // LATIN CAPITAL LETTER R
+  0x53: [703,16,696,25,721],         // LATIN CAPITAL LETTER S
   0x54: [720,69,644,38,947],         // LATIN CAPITAL LETTER T
-  0x55: [687,24,715,-11,771],        // LATIN CAPITAL LETTER U
+  0x55: [686,24,715,-10,771],        // LATIN CAPITAL LETTER U
   0x56: [686,77,737,25,774],         // LATIN CAPITAL LETTER V
   0x57: [686,77,1169,25,1206],       // LATIN CAPITAL LETTER W
-  0x58: [687,-1,817,56,906],         // LATIN CAPITAL LETTER X
+  0x58: [686,-1,817,56,906],         // LATIN CAPITAL LETTER X
   0x59: [686,164,759,36,797],        // LATIN CAPITAL LETTER Y
-  0x5A: [687,1,818,46,853],          // LATIN CAPITAL LETTER Z
+  0x5A: [686,0,818,46,853],          // LATIN CAPITAL LETTER Z
   0xA0: [0,0,250,0,0]                // NO-BREAK SPACE
 };
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
index fa4f4d51d..ae992fc33 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -52,39 +52,39 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Caligraphic'] = {
   },
   0x20: [0,0,250,0,0],               // SPACE
   0x30: [452,22,500,39,460],         // DIGIT ZERO
-  0x31: [454,0,500,86,426],          // DIGIT ONE
+  0x31: [453,0,500,86,426],          // DIGIT ONE
   0x32: [453,0,500,44,449],          // DIGIT TWO
-  0x33: [452,216,500,41,456],        // DIGIT THREE
-  0x34: [464,194,500,27,471],        // DIGIT FOUR
-  0x35: [453,217,500,50,448],        // DIGIT FIVE
-  0x36: [666,22,500,42,456],         // DIGIT SIX
-  0x37: [463,216,500,54,485],        // DIGIT SEVEN
-  0x38: [666,21,500,43,457],         // DIGIT EIGHT
+  0x33: [452,216,500,42,456],        // DIGIT THREE
+  0x34: [464,194,500,28,471],        // DIGIT FOUR
+  0x35: [453,216,500,50,448],        // DIGIT FIVE
+  0x36: [665,22,500,42,456],         // DIGIT SIX
+  0x37: [463,216,500,55,485],        // DIGIT SEVEN
+  0x38: [666,21,500,43,456],         // DIGIT EIGHT
   0x39: [453,216,500,42,457],        // DIGIT NINE
   0x41: [728,50,798,30,819],         // LATIN CAPITAL LETTER A
-  0x42: [705,22,657,31,664],         // LATIN CAPITAL LETTER B
+  0x42: [705,22,657,32,664],         // LATIN CAPITAL LETTER B
   0x43: [705,25,527,12,533],         // LATIN CAPITAL LETTER C
-  0x44: [684,1,771,19,767],          // LATIN CAPITAL LETTER D
-  0x45: [706,22,528,30,565],         // LATIN CAPITAL LETTER E
+  0x44: [683,0,771,19,766],          // LATIN CAPITAL LETTER D
+  0x45: [705,22,528,30,564],         // LATIN CAPITAL LETTER E
   0x46: [683,32,719,18,829],         // LATIN CAPITAL LETTER F
-  0x47: [704,119,595,43,599],        // LATIN CAPITAL LETTER G
+  0x47: [704,119,595,44,599],        // LATIN CAPITAL LETTER G
   0x48: [683,48,845,18,803],         // LATIN CAPITAL LETTER H
-  0x49: [683,1,545,-31,642],         // LATIN CAPITAL LETTER I
+  0x49: [683,0,545,-30,642],         // LATIN CAPITAL LETTER I
   0x4A: [683,119,678,47,839],        // LATIN CAPITAL LETTER J
-  0x4B: [705,23,762,32,733],         // LATIN CAPITAL LETTER K
-  0x4C: [706,22,690,32,656],         // LATIN CAPITAL LETTER L
+  0x4B: [705,22,762,32,732],         // LATIN CAPITAL LETTER K
+  0x4C: [705,22,690,32,656],         // LATIN CAPITAL LETTER L
   0x4D: [705,50,1201,28,1137],       // LATIN CAPITAL LETTER M
-  0x4E: [790,50,820,-27,979],        // LATIN CAPITAL LETTER N
+  0x4E: [789,50,820,-27,979],        // LATIN CAPITAL LETTER N
   0x4F: [705,22,796,58,777],         // LATIN CAPITAL LETTER O
-  0x50: [684,57,696,19,733],         // LATIN CAPITAL LETTER P
-  0x51: [706,131,817,114,787],       // LATIN CAPITAL LETTER Q
-  0x52: [683,22,848,19,837],         // LATIN CAPITAL LETTER R
-  0x53: [705,23,606,17,642],         // LATIN CAPITAL LETTER S
-  0x54: [717,69,545,34,834],         // LATIN CAPITAL LETTER T
-  0x55: [684,28,626,-17,687],        // LATIN CAPITAL LETTER U
+  0x50: [683,57,696,19,733],         // LATIN CAPITAL LETTER P
+  0x51: [705,131,817,114,787],       // LATIN CAPITAL LETTER Q
+  0x52: [682,22,848,19,837],         // LATIN CAPITAL LETTER R
+  0x53: [705,22,606,18,642],         // LATIN CAPITAL LETTER S
+  0x54: [717,68,545,34,833],         // LATIN CAPITAL LETTER T
+  0x55: [683,28,626,-17,687],        // LATIN CAPITAL LETTER U
   0x56: [683,52,613,25,658],         // LATIN CAPITAL LETTER V
   0x57: [683,53,988,25,1034],        // LATIN CAPITAL LETTER W
-  0x58: [684,1,713,52,807],          // LATIN CAPITAL LETTER X
+  0x58: [683,0,713,52,807],          // LATIN CAPITAL LETTER X
   0x59: [683,143,668,31,714],        // LATIN CAPITAL LETTER Y
   0x5A: [683,0,725,37,767],          // LATIN CAPITAL LETTER Z
   0xA0: [0,0,250,0,0]                // NO-BREAK SPACE
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
index 3dfff9978..aec99bc72 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,7 +23,7 @@ MathJax.Hub.Insert(
   {
     0x20: [0,0,250,0,0],               // SPACE
     0x21: [689,12,349,107,241],        // EXCLAMATION MARK
-    0x22: [695,-432,254,10,232],       // QUOTATION MARK
+    0x22: [695,-432,254,10,231],       // QUOTATION MARK
     0x26: [696,16,871,44,839],         // AMPERSAND
     0x27: [695,-436,250,80,158],       // APOSTROPHE
     0x28: [737,186,459,134,347],       // LEFT PARENTHESIS
@@ -37,7 +37,7 @@ MathJax.Hub.Insert(
     0x30: [501,12,593,42,533],         // DIGIT ZERO
     0x31: [489,0,593,54,548],          // DIGIT ONE
     0x32: [491,-2,593,44,563],         // DIGIT TWO
-    0x33: [488,193,593,31,523],        // DIGIT THREE
+    0x33: [487,193,593,31,523],        // DIGIT THREE
     0x34: [495,196,593,13,565],        // DIGIT FOUR
     0x35: [481,190,593,19,518],        // DIGIT FIVE
     0x36: [704,12,593,48,547],         // DIGIT SIX
@@ -47,38 +47,38 @@ MathJax.Hub.Insert(
     0x3A: [457,12,255,57,197],         // COLON
     0x3B: [458,190,255,56,211],        // SEMICOLON
     0x3D: [343,-168,582,22,559],       // EQUALS SIGN
-    0x3F: [698,14,428,39,422],         // QUESTION MARK
-    0x41: [686,31,847,28,827],         // LATIN CAPITAL LETTER A
+    0x3F: [697,14,428,40,422],         // QUESTION MARK
+    0x41: [686,31,847,29,827],         // LATIN CAPITAL LETTER A
     0x42: [684,31,1044,57,965],        // LATIN CAPITAL LETTER B
     0x43: [676,32,723,72,726],         // LATIN CAPITAL LETTER C
-    0x44: [684,29,982,31,896],         // LATIN CAPITAL LETTER D
+    0x44: [683,29,982,31,896],         // LATIN CAPITAL LETTER D
     0x45: [686,29,783,74,728],         // LATIN CAPITAL LETTER E
-    0x46: [684,147,722,17,727],        // LATIN CAPITAL LETTER F
+    0x46: [684,146,722,17,727],        // LATIN CAPITAL LETTER F
     0x47: [687,29,927,74,844],         // LATIN CAPITAL LETTER G
-    0x48: [684,126,851,6,752],         // LATIN CAPITAL LETTER H
+    0x48: [683,126,851,6,752],         // LATIN CAPITAL LETTER H
     0x49: [681,25,655,32,623],         // LATIN CAPITAL LETTER I
-    0x4A: [681,141,652,-8,617],        // LATIN CAPITAL LETTER J
-    0x4B: [682,26,789,20,806],         // LATIN CAPITAL LETTER K
+    0x4A: [680,141,652,-8,616],        // LATIN CAPITAL LETTER J
+    0x4B: [681,26,789,20,806],         // LATIN CAPITAL LETTER K
     0x4C: [683,28,786,30,764],         // LATIN CAPITAL LETTER L
-    0x4D: [684,33,1239,26,1232],       // LATIN CAPITAL LETTER M
+    0x4D: [683,32,1239,27,1232],       // LATIN CAPITAL LETTER M
     0x4E: [679,30,983,26,973],         // LATIN CAPITAL LETTER N
     0x4F: [726,30,976,12,881],         // LATIN CAPITAL LETTER O
-    0x50: [688,223,977,32,943],        // LATIN CAPITAL LETTER P
+    0x50: [688,223,977,33,943],        // LATIN CAPITAL LETTER P
     0x51: [726,83,976,12,918],         // LATIN CAPITAL LETTER Q
     0x52: [688,28,978,31,978],         // LATIN CAPITAL LETTER R
     0x53: [685,31,978,82,905],         // LATIN CAPITAL LETTER S
     0x54: [686,30,790,31,802],         // LATIN CAPITAL LETTER T
     0x55: [688,39,851,18,871],         // LATIN CAPITAL LETTER U
-    0x56: [685,29,982,24,966],         // LATIN CAPITAL LETTER V
-    0x57: [683,30,1235,25,1240],       // LATIN CAPITAL LETTER W
+    0x56: [685,29,982,25,966],         // LATIN CAPITAL LETTER V
+    0x57: [683,30,1235,26,1240],       // LATIN CAPITAL LETTER W
     0x58: [681,35,849,32,835],         // LATIN CAPITAL LETTER X
-    0x59: [688,214,984,33,878],        // LATIN CAPITAL LETTER Y
+    0x59: [688,214,984,34,878],        // LATIN CAPITAL LETTER Y
     0x5A: [677,148,711,-4,624],        // LATIN CAPITAL LETTER Z
     0x5B: [740,130,257,36,226],        // LEFT SQUARE BRACKET
     0x5D: [738,132,257,14,208],        // RIGHT SQUARE BRACKET
     0x5E: [734,-452,590,1,584],        // CIRCUMFLEX ACCENT
-    0x61: [472,32,603,79,586],         // LATIN SMALL LETTER A
-    0x62: [690,32,590,85,504],         // LATIN SMALL LETTER B
+    0x61: [472,32,603,80,586],         // LATIN SMALL LETTER A
+    0x62: [690,32,590,86,504],         // LATIN SMALL LETTER B
     0x63: [473,26,464,87,424],         // LATIN SMALL LETTER C
     0x64: [632,28,589,-1,511],         // LATIN SMALL LETTER D
     0x65: [471,27,472,81,428],         // LATIN SMALL LETTER E
@@ -89,13 +89,13 @@ MathJax.Hub.Insert(
     0x6A: [682,203,332,-19,238],       // LATIN SMALL LETTER J
     0x6B: [682,25,464,34,432],         // LATIN SMALL LETTER K
     0x6C: [681,24,337,100,312],        // LATIN SMALL LETTER L
-    0x6D: [477,31,921,16,900],         // LATIN SMALL LETTER M
-    0x6E: [474,28,654,5,608],          // LATIN SMALL LETTER N
+    0x6D: [476,31,921,16,900],         // LATIN SMALL LETTER M
+    0x6E: [473,28,654,5,608],          // LATIN SMALL LETTER N
     0x6F: [482,34,609,107,515],        // LATIN SMALL LETTER O
-    0x70: [558,207,604,-1,520],        // LATIN SMALL LETTER P
+    0x70: [557,207,604,-1,519],        // LATIN SMALL LETTER P
     0x71: [485,211,596,87,515],        // LATIN SMALL LETTER Q
     0x72: [472,26,460,13,453],         // LATIN SMALL LETTER R
-    0x73: [479,34,523,-23,482],        // LATIN SMALL LETTER S
+    0x73: [479,34,523,-23,481],        // LATIN SMALL LETTER S
     0x74: [648,27,393,43,407],         // LATIN SMALL LETTER T
     0x75: [472,32,589,9,603],          // LATIN SMALL LETTER U
     0x76: [546,27,604,56,507],         // LATIN SMALL LETTER V
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
index 7f6fafd6f..fe4112465 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
index 3060a3614..7c43d4f6d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
index d1b52cda8..27585dfea 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,13 +21,13 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Fraktur-bold'],
   {
-    0xE301: [630,27,587,64,512],       // ??
-    0xE302: [693,212,394,37,408],      // ??
-    0xE303: [681,219,387,36,384],      // ??
-    0xE304: [473,212,593,67,531],      // ??
-    0xE305: [684,27,393,33,387],       // ??
-    0xE308: [679,220,981,32,875],      // ??
-    0xE309: [717,137,727,17,633]       // ??
+    0xE301: [630,27,587,64,512],       // stix-MATHEMATICAL BOLD CAPITAL GAMMA SLASHED
+    0xE302: [693,212,394,37,408],      // stix-capital Delta, Greek slashed
+    0xE303: [681,219,387,36,384],      // stix-MATHEMATICAL BOLD CAPITAL DELTA SLASHED
+    0xE304: [473,212,593,67,531],      // stix-capital Epsilon, Greek slashed
+    0xE305: [684,27,393,33,387],       // stix-MATHEMATICAL BOLD CAPITAL EPSILON SLASHED
+    0xE308: [679,220,981,32,875],      // stix-capital Eta, Greek slashed
+    0xE309: [717,137,727,17,633]       // stix-MATHEMATICAL BOLD CAPITAL ETA SLASHED
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
index bf559c598..26fd7a2ae 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -28,7 +28,7 @@ MathJax.Hub.Insert(
     0x27: [695,-436,212,69,134],       // APOSTROPHE
     0x28: [737,186,389,114,293],       // LEFT PARENTHESIS
     0x29: [735,187,389,89,276],        // RIGHT PARENTHESIS
-    0x2A: [693,-449,278,33,234],       // ASTERISK
+    0x2A: [692,-449,278,33,234],       // ASTERISK
     0x2B: [598,82,756,47,709],         // PLUS SIGN
     0x2C: [107,191,278,99,213],        // COMMA
     0x2D: [275,-236,756,46,706],       // HYPHEN-MINUS
@@ -39,7 +39,7 @@ MathJax.Hub.Insert(
     0x32: [474,-1,502,60,484],         // DIGIT TWO
     0x33: [473,182,502,39,429],        // DIGIT THREE
     0x34: [476,191,502,10,481],        // DIGIT FOUR
-    0x35: [458,185,502,47,440],        // DIGIT FIVE
+    0x35: [458,184,502,47,440],        // DIGIT FIVE
     0x36: [700,13,502,45,471],         // DIGIT SIX
     0x37: [468,181,502,37,498],        // DIGIT SEVEN
     0x38: [705,10,502,40,461],         // DIGIT EIGHT
@@ -49,30 +49,30 @@ MathJax.Hub.Insert(
     0x3D: [368,-132,756,54,725],       // EQUALS SIGN
     0x3F: [693,11,362,46,357],         // QUESTION MARK
     0x41: [696,26,718,22,708],         // LATIN CAPITAL LETTER A
-    0x42: [691,28,884,48,821],         // LATIN CAPITAL LETTER B
+    0x42: [691,27,884,48,820],         // LATIN CAPITAL LETTER B
     0x43: [685,24,613,59,607],         // LATIN CAPITAL LETTER C
     0x44: [685,27,832,27,745],         // LATIN CAPITAL LETTER D
     0x45: [685,24,663,86,634],         // LATIN CAPITAL LETTER E
-    0x46: [686,154,611,11,612],        // LATIN CAPITAL LETTER F
-    0x47: [690,26,785,66,711],         // LATIN CAPITAL LETTER G
-    0x48: [666,133,720,1,645],         // LATIN CAPITAL LETTER H
+    0x46: [686,153,611,11,612],        // LATIN CAPITAL LETTER F
+    0x47: [690,26,785,66,710],         // LATIN CAPITAL LETTER G
+    0x48: [666,133,720,1,644],         // LATIN CAPITAL LETTER H
     0x49: [686,26,554,30,532],         // LATIN CAPITAL LETTER I
-    0x4A: [686,139,552,-11,522],       // LATIN CAPITAL LETTER J
-    0x4B: [681,27,668,17,682],         // LATIN CAPITAL LETTER K
+    0x4A: [686,139,552,-10,522],       // LATIN CAPITAL LETTER J
+    0x4B: [680,27,668,17,682],         // LATIN CAPITAL LETTER K
     0x4C: [686,26,666,33,644],         // LATIN CAPITAL LETTER L
-    0x4D: [692,28,1050,27,1048],       // LATIN CAPITAL LETTER M
+    0x4D: [692,27,1050,27,1048],       // LATIN CAPITAL LETTER M
     0x4E: [686,25,832,27,825],         // LATIN CAPITAL LETTER N
     0x4F: [729,27,827,12,744],         // LATIN CAPITAL LETTER O
     0x50: [692,218,828,28,804],        // LATIN CAPITAL LETTER P
-    0x51: [729,69,827,11,783],         // LATIN CAPITAL LETTER Q
+    0x51: [729,69,827,11,782],         // LATIN CAPITAL LETTER Q
     0x52: [686,26,828,27,824],         // LATIN CAPITAL LETTER R
-    0x53: [692,27,829,65,756],         // LATIN CAPITAL LETTER S
-    0x54: [701,27,669,34,677],         // LATIN CAPITAL LETTER T
+    0x53: [692,27,829,66,756],         // LATIN CAPITAL LETTER S
+    0x54: [701,27,669,34,676],         // LATIN CAPITAL LETTER T
     0x55: [697,27,646,-25,665],        // LATIN CAPITAL LETTER U
     0x56: [686,26,831,26,825],         // LATIN CAPITAL LETTER V
-    0x57: [686,27,1046,32,1055],       // LATIN CAPITAL LETTER W
+    0x57: [686,27,1046,32,1054],       // LATIN CAPITAL LETTER W
     0x58: [688,27,719,28,709],         // LATIN CAPITAL LETTER X
-    0x59: [686,218,833,27,741],        // LATIN CAPITAL LETTER Y
+    0x59: [686,218,833,27,740],        // LATIN CAPITAL LETTER Y
     0x5A: [729,139,602,11,532],        // LATIN CAPITAL LETTER Z
     0x5B: [740,130,278,117,278],       // LEFT SQUARE BRACKET
     0x5D: [738,131,278,-4,160],        // RIGHT SQUARE BRACKET
@@ -84,12 +84,12 @@ MathJax.Hub.Insert(
     0x65: [467,30,401,70,364],         // LATIN SMALL LETTER E
     0x66: [681,221,326,30,323],        // LATIN SMALL LETTER F
     0x67: [470,209,504,17,455],        // LATIN SMALL LETTER G
-    0x68: [689,205,521,77,434],        // LATIN SMALL LETTER H
+    0x68: [688,205,521,77,434],        // LATIN SMALL LETTER H
     0x69: [673,20,279,14,267],         // LATIN SMALL LETTER I
     0x6A: [672,208,281,-9,196],        // LATIN SMALL LETTER J
     0x6B: [689,25,389,24,362],         // LATIN SMALL LETTER K
     0x6C: [685,20,280,98,276],         // LATIN SMALL LETTER L
-    0x6D: [476,26,767,8,753],          // LATIN SMALL LETTER M
+    0x6D: [475,26,767,8,753],          // LATIN SMALL LETTER M
     0x6E: [475,22,527,20,514],         // LATIN SMALL LETTER N
     0x6F: [480,28,489,67,412],         // LATIN SMALL LETTER O
     0x70: [541,212,500,12,430],        // LATIN SMALL LETTER P
@@ -97,8 +97,8 @@ MathJax.Hub.Insert(
     0x72: [474,21,389,17,387],         // LATIN SMALL LETTER R
     0x73: [478,29,443,-18,406],        // LATIN SMALL LETTER S
     0x74: [640,20,333,27,348],         // LATIN SMALL LETTER T
-    0x75: [474,24,517,9,513],          // LATIN SMALL LETTER U
-    0x76: [531,28,512,55,435],         // LATIN SMALL LETTER V
+    0x75: [474,23,517,9,513],          // LATIN SMALL LETTER U
+    0x76: [530,28,512,55,434],         // LATIN SMALL LETTER V
     0x77: [532,28,774,45,688],         // LATIN SMALL LETTER W
     0x78: [472,188,389,10,363],        // LATIN SMALL LETTER X
     0x79: [528,218,499,45,431],        // LATIN SMALL LETTER Y
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
index bb4a69d96..05b6e3fb5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
index e69cb7005..51f3e1921 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
index 7cfe0e3fe..cbfd3db6f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,14 +21,14 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Fraktur'],
   {
-    0xE300: [683,32,497,75,430],       // ??
-    0xE301: [616,30,498,35,432],       // ??
-    0xE302: [680,215,333,29,339],      // ??
-    0xE303: [679,224,329,28,318],      // ??
-    0xE304: [471,214,503,52,449],      // ??
-    0xE305: [686,20,333,26,315],       // ??
-    0xE306: [577,22,334,29,347],       // ??
-    0xE307: [475,22,501,10,514]        // ??
+    0xE300: [683,32,497,75,430],       // stix-capital Gamma, Greek slashed
+    0xE301: [616,30,498,35,432],       // stix-MATHEMATICAL BOLD CAPITAL GAMMA SLASHED
+    0xE302: [680,215,333,29,339],      // stix-capital Delta, Greek slashed
+    0xE303: [679,224,329,28,318],      // stix-MATHEMATICAL BOLD CAPITAL DELTA SLASHED
+    0xE304: [471,214,503,52,449],      // stix-capital Epsilon, Greek slashed
+    0xE305: [686,20,333,26,315],       // stix-MATHEMATICAL BOLD CAPITAL EPSILON SLASHED
+    0xE306: [577,21,334,29,347],       // stix-capital Zeta, Greek slashed
+    0xE307: [475,22,501,10,514]        // stix-MATHEMATICAL BOLD CAPITAL ZETA SLASHED
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
index 8ba617f34..27ba566d3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek-bold'] = {
   directory: 'Greek/Bold',
   family: 'MathJax_Greek',
   weight: 'bold',
-  testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B),
+  testString: "\u0393 \u03A5 \u039B",
   0x20: [0,0,250,0,0],               // SPACE
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x393: [680,0,692,39,643],         // GREEK CAPITAL LETTER GAMMA
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
index 77166ea72..c52d7e499 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,7 +23,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek-bold-italic'] = {
   family: 'MathJax_Greek',
   weight: 'bold',
   style: 'italic',
-  testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B),
+  testString: "\u0393 \u03A5 \u039B",
   skew: {
     0x393: 0.0958,
     0x394: 0.192,
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
index 9a7fa19ce..e670345b6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek-italic'] = {
   directory: 'Greek/Italic',
   family: 'MathJax_Greek',
   style: 'italic',
-  testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B),
+  testString: "\u0393 \u03A5 \u039B",
   skew: {
     0x393: 0.0833,
     0x394: 0.167,
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
index b2760ce54..280fdf008 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek'] = {
   directory: 'Greek/Regular',
   family: 'MathJax_Greek',
-  testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B),
+  testString: "\u0393 \u03A5 \u039B",
   0x20: [0,0,250,0,0],               // SPACE
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x393: [680,0,625,25,582],         // GREEK CAPITAL LETTER GAMMA
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
index 23bc696f1..e31efdf39 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,30 +21,30 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
-    0x2190: [519,18,1150,64,1085],     // LEFTWARDS ARROW
-    0x2191: [694,193,575,13,562],      // UPWARDS ARROW
-    0x2192: [519,18,1150,65,1085],     // RIGHTWARDS ARROW
-    0x2193: [694,194,575,13,562],      // DOWNWARDS ARROW
-    0x2194: [519,18,1150,64,1085],     // LEFT RIGHT ARROW
-    0x2195: [767,267,575,13,562],      // UP DOWN ARROW
-    0x2196: [724,195,1150,64,1084],    // NORTH WEST ARROW
-    0x2197: [724,193,1150,64,1086],    // NORTH EAST ARROW
-    0x2198: [695,224,1150,65,1085],    // SOUTH EAST ARROW
+    0x2190: [518,17,1150,64,1084],     // LEFTWARDS ARROW
+    0x2191: [694,193,575,14,561],      // UPWARDS ARROW
+    0x2192: [518,17,1150,65,1085],     // RIGHTWARDS ARROW
+    0x2193: [694,194,575,14,561],      // DOWNWARDS ARROW
+    0x2194: [518,17,1150,64,1085],     // LEFT RIGHT ARROW
+    0x2195: [767,267,575,14,561],      // UP DOWN ARROW
+    0x2196: [724,194,1150,64,1084],    // NORTH WEST ARROW
+    0x2197: [724,193,1150,64,1085],    // NORTH EAST ARROW
+    0x2198: [694,224,1150,65,1085],    // SOUTH EAST ARROW
     0x2199: [694,224,1150,64,1085],    // SOUTH WEST ARROW
-    0x21A6: [519,18,1150,65,1085],     // RIGHTWARDS ARROW FROM BAR
-    0x21A9: [519,18,1282,64,1219],     // LEFTWARDS ARROW WITH HOOK
-    0x21AA: [519,18,1282,65,1217],     // RIGHTWARDS ARROW WITH HOOK
+    0x21A6: [518,17,1150,65,1085],     // RIGHTWARDS ARROW FROM BAR
+    0x21A9: [518,17,1282,64,1218],     // LEFTWARDS ARROW WITH HOOK
+    0x21AA: [518,17,1282,65,1217],     // RIGHTWARDS ARROW WITH HOOK
     0x21BC: [518,-220,1150,64,1084],   // LEFTWARDS HARPOON WITH BARB UPWARDS
     0x21BD: [281,17,1150,64,1084],     // LEFTWARDS HARPOON WITH BARB DOWNWARDS
     0x21C0: [518,-220,1150,65,1085],   // RIGHTWARDS HARPOON WITH BARB UPWARDS
     0x21C1: [281,17,1150,64,1085],     // RIGHTWARDS HARPOON WITH BARB DOWNWARDS
     0x21CC: [718,17,1150,64,1085],     // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON
-    0x21D0: [548,46,1150,63,1085],     // LEFTWARDS DOUBLE ARROW
-    0x21D1: [694,194,703,29,672],      // UPWARDS DOUBLE ARROW
-    0x21D2: [548,47,1150,64,1084],     // RIGHTWARDS DOUBLE ARROW
-    0x21D3: [694,194,703,30,673],      // DOWNWARDS DOUBLE ARROW
-    0x21D4: [548,46,1150,47,1102],     // LEFT RIGHT DOUBLE ARROW
-    0x21D5: [768,267,703,29,673]       // UP DOWN DOUBLE ARROW
+    0x21D0: [547,46,1150,64,1085],     // LEFTWARDS DOUBLE ARROW
+    0x21D1: [694,193,703,30,672],      // UPWARDS DOUBLE ARROW
+    0x21D2: [547,46,1150,64,1084],     // RIGHTWARDS DOUBLE ARROW
+    0x21D3: [694,194,703,30,672],      // DOWNWARDS DOUBLE ARROW
+    0x21D4: [547,46,1150,47,1102],     // LEFT RIGHT DOUBLE ARROW
+    0x21D5: [767,267,703,30,672]       // UP DOWN DOUBLE ARROW
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
index ddeafa167..46ec67824 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,12 +24,12 @@ MathJax.Hub.Insert(
     0x300: [706,-503,0,-461,-237],     // COMBINING GRAVE ACCENT
     0x301: [706,-503,0,-339,-115],     // COMBINING ACUTE ACCENT
     0x302: [694,-520,0,-449,-127],     // COMBINING CIRCUMFLEX ACCENT
-    0x303: [694,-551,0,-479,-97],      // COMBINING TILDE
+    0x303: [694,-552,0,-479,-97],      // COMBINING TILDE
     0x304: [607,-540,0,-495,-81],      // COMBINING MACRON
     0x306: [694,-500,0,-473,-103],     // COMBINING BREVE
     0x307: [695,-525,0,-373,-203],     // COMBINING DOT ABOVE
     0x308: [695,-535,0,-479,-97],      // COMBINING DIAERESIS
-    0x30A: [703,-536,0,-415,-161],     // COMBINING RING ABOVE
+    0x30A: [702,-536,0,-415,-161],     // COMBINING RING ABOVE
     0x30B: [714,-511,0,-442,-82],      // COMBINING DOUBLE ACUTE ACCENT
     0x30C: [660,-515,0,-445,-131],     // COMBINING CARON
     0x338: [711,210,0,-734,-161]       // COMBINING LONG SOLIDUS OVERLAY
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
index 57c24be6b..73f03f4a0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
index 93dac98b6..f849945dd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -35,9 +35,9 @@ MathJax.Hub.Insert(
     0x201C: [694,-329,603,110,564],    // LEFT DOUBLE QUOTATION MARK
     0x201D: [694,-329,603,38,492],     // RIGHT DOUBLE QUOTATION MARK
     0x2020: [702,211,511,64,446],      // DAGGER
-    0x2021: [702,203,511,64,446],      // DOUBLE DAGGER
+    0x2021: [702,202,511,64,446],      // DOUBLE DAGGER
     0x2026: [171,-1,1295,74,1221],     // HORIZONTAL ELLIPSIS
-    0x2032: [563,-33,344,35,332]       // PRIME
+    0x2032: [563,-33,344,35,331]       // PRIME
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
index 10c50fa63..1addf3502 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,10 +21,10 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
-    0x25B3: [711,-1,1022,68,953],      // WHITE UP-POINTING TRIANGLE
-    0x25B9: [541,39,575,33,542],       // WHITE RIGHT-POINTING SMALL TRIANGLE
+    0x25B3: [711,-1,1022,69,953],      // WHITE UP-POINTING TRIANGLE
+    0x25B9: [540,39,575,33,542],       // WHITE RIGHT-POINTING SMALL TRIANGLE
     0x25BD: [500,210,1022,68,953],     // WHITE DOWN-POINTING TRIANGLE
-    0x25C3: [539,39,575,33,542],       // WHITE LEFT-POINTING SMALL TRIANGLE
+    0x25C3: [539,38,575,33,542],       // WHITE LEFT-POINTING SMALL TRIANGLE
     0x25EF: [711,211,1150,65,1084]     // LARGE CIRCLE
   }
 );
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
index f3973a903..f7017d0c2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,12 +23,12 @@ MathJax.Hub.Insert(
   {
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
     0xA8: [695,-535,575,96,478],       // DIAERESIS
-    0xAC: [371,-61,767,64,703],        // NOT SIGN
+    0xAC: [371,-61,767,64,702],        // NOT SIGN
     0xAF: [607,-540,575,80,494],       // MACRON
-    0xB0: [703,-536,575,160,414],      // DEGREE SIGN
+    0xB0: [702,-536,575,160,414],      // DEGREE SIGN
     0xB1: [728,35,894,64,829],         // PLUS-MINUS SIGN
     0xB4: [706,-503,575,236,460],      // ACUTE ACCENT
-    0xD7: [531,29,894,167,727],        // MULTIPLICATION SIGN
+    0xD7: [530,28,894,168,726],        // MULTIPLICATION SIGN
     0xF7: [597,96,894,64,828]          // DIVISION SIGN
   }
 );
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
index 83371f241..ae6155630 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
-    0x131: [453,8,394,24,367]          // LATIN SMALL LETTER DOTLESS I
+    0x131: [452,8,394,24,367]          // LATIN SMALL LETTER DOTLESS I
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
index efcdda126..7960a3e41 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
index 5af7f4949..4d048f9d4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,11 +22,11 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
     0x210F: [694,8,668,45,642],        // stix-/hbar - Planck's over 2pi
-    0x2111: [702,9,831,64,798],        // BLACK-LETTER CAPITAL I
-    0x2113: [702,19,474,-1,447],       // SCRIPT SMALL L
-    0x2118: [462,211,740,72,727],      // SCRIPT CAPITAL P
-    0x211C: [711,17,831,41,824],       // BLACK-LETTER CAPITAL R
-    0x2135: [694,1,703,64,639]         // ALEF SYMBOL
+    0x2111: [702,8,831,64,798],        // BLACK-LETTER CAPITAL I
+    0x2113: [702,19,474,-1,446],       // SCRIPT SMALL L
+    0x2118: [461,210,740,72,726],      // SCRIPT CAPITAL P
+    0x211C: [711,16,831,42,824],       // BLACK-LETTER CAPITAL R
+    0x2135: [694,0,703,64,638]         // ALEF SYMBOL
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
index e46cff5af..b6b0012b8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = {
   directory: 'Main/Bold',
   family: 'MathJax_Main',
   weight: 'bold',
-  testString: "MathJax Main",
+  testString: "MathJax Main ^ \u210F \u2223",
   skew: {
     0x131: 0.0319,
     0x237: 0.0958,
@@ -56,7 +56,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = {
   0x25: [750,56,958,65,893],         // PERCENT SIGN
   0x26: [705,11,894,48,836],         // AMPERSAND
   0x27: [694,-329,319,74,261],       // APOSTROPHE
-  0x28: [751,250,447,103,382],       // LEFT PARENTHESIS
+  0x28: [750,249,447,103,382],       // LEFT PARENTHESIS
   0x29: [750,249,447,64,343],        // RIGHT PARENTHESIS
   0x2A: [750,-306,575,73,501],       // ASTERISK
   0x2B: [633,131,894,64,829],        // PLUS SIGN
@@ -64,28 +64,28 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = {
   0x2D: [278,-166,383,13,318],       // HYPHEN-MINUS
   0x2E: [171,-1,319,74,245],         // FULL STOP
   0x2F: [750,250,575,63,511],        // SOLIDUS
-  0x30: [655,10,575,45,529],         // DIGIT ZERO
+  0x30: [654,10,575,45,529],         // DIGIT ZERO
   0x31: [655,0,575,80,494],          // DIGIT ONE
   0x32: [654,0,575,57,517],          // DIGIT TWO
-  0x33: [655,12,575,47,526],         // DIGIT THREE
-  0x34: [657,0,575,32,542],          // DIGIT FOUR
+  0x33: [655,11,575,47,526],         // DIGIT THREE
+  0x34: [656,0,575,32,542],          // DIGIT FOUR
   0x35: [655,11,575,57,517],         // DIGIT FIVE
-  0x36: [655,11,575,48,527],         // DIGIT SIX
-  0x37: [676,11,575,64,559],         // DIGIT SEVEN
+  0x36: [655,11,575,48,526],         // DIGIT SIX
+  0x37: [676,11,575,64,558],         // DIGIT SEVEN
   0x38: [654,11,575,48,526],         // DIGIT EIGHT
   0x39: [654,11,575,48,526],         // DIGIT NINE
   0x3A: [444,-1,319,74,245],         // COLON
   0x3B: [444,194,319,74,248],        // SEMICOLON
   0x3C: [587,85,894,96,797],         // LESS-THAN SIGN
   0x3D: [393,-109,894,64,829],       // EQUALS SIGN
-  0x3E: [587,85,894,95,797],         // GREATER-THAN SIGN
+  0x3E: [587,85,894,96,797],         // GREATER-THAN SIGN
   0x3F: [700,-1,543,65,478],         // QUESTION MARK
-  0x40: [700,6,894,64,829],          // COMMERCIAL AT
+  0x40: [699,6,894,64,829],          // COMMERCIAL AT
   0x41: [698,0,869,40,828],          // LATIN CAPITAL LETTER A
-  0x42: [687,0,818,39,753],          // LATIN CAPITAL LETTER B
-  0x43: [697,11,831,64,767],         // LATIN CAPITAL LETTER C
-  0x44: [687,0,882,39,817],          // LATIN CAPITAL LETTER D
-  0x45: [681,0,756,38,723],          // LATIN CAPITAL LETTER E
+  0x42: [686,0,818,39,752],          // LATIN CAPITAL LETTER B
+  0x43: [697,11,831,64,766],         // LATIN CAPITAL LETTER C
+  0x44: [686,0,882,39,817],          // LATIN CAPITAL LETTER D
+  0x45: [680,0,756,39,723],          // LATIN CAPITAL LETTER E
   0x46: [680,0,724,39,675],          // LATIN CAPITAL LETTER F
   0x47: [697,10,904,64,845],         // LATIN CAPITAL LETTER G
   0x48: [686,0,900,39,860],          // LATIN CAPITAL LETTER H
@@ -93,20 +93,20 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = {
   0x4A: [686,11,594,8,527],          // LATIN CAPITAL LETTER J
   0x4B: [686,0,901,39,852],          // LATIN CAPITAL LETTER K
   0x4C: [686,0,692,39,643],          // LATIN CAPITAL LETTER L
-  0x4D: [687,0,1092,39,1052],        // LATIN CAPITAL LETTER M
-  0x4E: [687,1,900,39,861],          // LATIN CAPITAL LETTER N
+  0x4D: [686,0,1092,39,1052],        // LATIN CAPITAL LETTER M
+  0x4E: [686,0,900,39,860],          // LATIN CAPITAL LETTER N
   0x4F: [696,10,864,64,798],         // LATIN CAPITAL LETTER O
   0x50: [686,0,786,39,721],          // LATIN CAPITAL LETTER P
-  0x51: [697,193,864,64,806],        // LATIN CAPITAL LETTER Q
-  0x52: [687,11,862,39,858],         // LATIN CAPITAL LETTER R
-  0x53: [697,11,639,63,575],         // LATIN CAPITAL LETTER S
+  0x51: [696,193,864,64,805],        // LATIN CAPITAL LETTER Q
+  0x52: [686,11,862,39,858],         // LATIN CAPITAL LETTER R
+  0x53: [697,11,639,64,574],         // LATIN CAPITAL LETTER S
   0x54: [675,0,800,41,758],          // LATIN CAPITAL LETTER T
-  0x55: [686,12,885,39,845],         // LATIN CAPITAL LETTER U
+  0x55: [686,11,885,39,845],         // LATIN CAPITAL LETTER U
   0x56: [686,7,869,25,843],          // LATIN CAPITAL LETTER V
-  0x57: [686,8,1189,24,1164],        // LATIN CAPITAL LETTER W
+  0x57: [686,7,1189,24,1164],        // LATIN CAPITAL LETTER W
   0x58: [686,0,869,33,835],          // LATIN CAPITAL LETTER X
   0x59: [686,0,869,19,849],          // LATIN CAPITAL LETTER Y
-  0x5A: [687,0,703,64,645],          // LATIN CAPITAL LETTER Z
+  0x5A: [686,0,703,64,645],          // LATIN CAPITAL LETTER Z
   0x5B: [750,250,319,128,293],       // LEFT SQUARE BRACKET
   0x5C: [750,250,575,63,511],        // REVERSE SOLIDUS
   0x5D: [750,250,319,25,190],        // RIGHT SQUARE BRACKET
@@ -114,10 +114,10 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = {
   0x5F: [-10,61,575,0,574],          // LOW LINE
   0x60: [706,-503,575,114,338],      // GRAVE ACCENT
   0x61: [453,6,559,32,558],          // LATIN SMALL LETTER A
-  0x62: [694,7,639,29,601],          // LATIN SMALL LETTER B
+  0x62: [694,6,639,29,600],          // LATIN SMALL LETTER B
   0x63: [453,6,511,39,478],          // LATIN SMALL LETTER C
-  0x64: [695,6,639,38,609],          // LATIN SMALL LETTER D
-  0x65: [453,6,527,32,494],          // LATIN SMALL LETTER E
+  0x64: [694,6,639,38,609],          // LATIN SMALL LETTER D
+  0x65: [452,6,527,32,494],          // LATIN SMALL LETTER E
   0x66: [700,0,351,40,452],          // LATIN SMALL LETTER F
   0x67: [455,201,575,30,558],        // LATIN SMALL LETTER G
   0x68: [694,0,639,37,623],          // LATIN SMALL LETTER H
@@ -125,35 +125,35 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = {
   0x6A: [695,200,351,-71,274],       // LATIN SMALL LETTER J
   0x6B: [694,0,607,29,587],          // LATIN SMALL LETTER K
   0x6C: [694,0,319,40,301],          // LATIN SMALL LETTER L
-  0x6D: [451,0,958,37,942],          // LATIN SMALL LETTER M
+  0x6D: [450,0,958,37,942],          // LATIN SMALL LETTER M
   0x6E: [450,0,639,37,623],          // LATIN SMALL LETTER N
   0x6F: [452,5,575,32,542],          // LATIN SMALL LETTER O
-  0x70: [450,194,639,28,600],        // LATIN SMALL LETTER P
+  0x70: [450,194,639,29,600],        // LATIN SMALL LETTER P
   0x71: [450,194,607,38,609],        // LATIN SMALL LETTER Q
   0x72: [450,0,474,29,442],          // LATIN SMALL LETTER R
-  0x73: [453,7,454,37,415],          // LATIN SMALL LETTER S
-  0x74: [636,6,447,21,382],          // LATIN SMALL LETTER T
+  0x73: [453,6,454,38,414],          // LATIN SMALL LETTER S
+  0x74: [635,5,447,21,382],          // LATIN SMALL LETTER T
   0x75: [450,6,639,37,623],          // LATIN SMALL LETTER U
-  0x76: [444,4,607,26,580],          // LATIN SMALL LETTER V
-  0x77: [444,5,831,25,805],          // LATIN SMALL LETTER W
+  0x76: [444,3,607,26,580],          // LATIN SMALL LETTER V
+  0x77: [444,4,831,25,805],          // LATIN SMALL LETTER W
   0x78: [444,0,607,21,586],          // LATIN SMALL LETTER X
   0x79: [444,200,607,23,580],        // LATIN SMALL LETTER Y
-  0x7A: [445,0,511,31,462],          // LATIN SMALL LETTER Z
-  0x7B: [751,251,575,69,504],        // LEFT CURLY BRACKET
+  0x7A: [444,0,511,32,462],          // LATIN SMALL LETTER Z
+  0x7B: [750,250,575,70,504],        // LEFT CURLY BRACKET
   0x7C: [750,249,319,129,190],       // VERTICAL LINE
-  0x7D: [751,251,575,70,504],        // RIGHT CURLY BRACKET
-  0x7E: [344,-201,575,96,478],       // TILDE
+  0x7D: [750,250,575,70,504],        // RIGHT CURLY BRACKET
+  0x7E: [344,-202,575,96,478],       // TILDE
   0x393: [680,0,692,39,643],         // GREEK CAPITAL LETTER GAMMA
   0x394: [698,0,958,56,901],         // GREEK CAPITAL LETTER DELTA
   0x398: [696,10,894,64,829],        // GREEK CAPITAL LETTER THETA
-  0x39B: [699,0,806,40,765],         // GREEK CAPITAL LETTER LAMDA
+  0x39B: [698,0,806,40,765],         // GREEK CAPITAL LETTER LAMDA
   0x39E: [675,0,767,48,718],         // GREEK CAPITAL LETTER XI
   0x3A0: [680,0,900,39,860],         // GREEK CAPITAL LETTER PI
   0x3A3: [686,0,831,63,766],         // GREEK CAPITAL LETTER SIGMA
   0x3A5: [697,0,894,64,829],         // GREEK CAPITAL LETTER UPSILON
   0x3A6: [686,0,831,64,766],         // GREEK CAPITAL LETTER PHI
   0x3A8: [686,0,894,64,829],         // GREEK CAPITAL LETTER PSI
-  0x3A9: [696,1,831,51,780]          // GREEK CAPITAL LETTER OMEGA
+  0x3A9: [696,0,831,51,779]          // GREEK CAPITAL LETTER OMEGA
 };
 
 MathJax.Callback.Queue(
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
index a7c164deb..af41e1f6a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,29 +21,29 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
-    0x2200: [694,16,639,0,640],        // FOR ALL
+    0x2200: [694,16,639,1,640],        // FOR ALL
     0x2202: [710,17,628,60,657],       // PARTIAL DIFFERENTIAL
     0x2203: [694,-1,639,64,574],       // THERE EXISTS
     0x2205: [767,73,575,46,528],       // EMPTY SET
     0x2207: [686,24,958,56,901],       // NABLA
     0x2208: [587,86,767,97,670],       // ELEMENT OF
     0x2209: [711,210,767,97,670],      // stix-negated (vert) set membership, variant
-    0x220B: [588,86,767,95,670],       // CONTAINS AS MEMBER
+    0x220B: [587,86,767,96,670],       // CONTAINS AS MEMBER
     0x2212: [281,-221,894,96,797],     // MINUS SIGN
     0x2213: [537,227,894,64,829],      // MINUS-OR-PLUS SIGN
     0x2215: [750,250,575,63,511],      // DIVISION SLASH
     0x2216: [750,250,575,63,511],      // SET MINUS
-    0x2217: [472,-27,575,73,501],      // ASTERISK OPERATOR
+    0x2217: [472,-28,575,73,501],      // ASTERISK OPERATOR
     0x2218: [474,-28,575,64,510],      // RING OPERATOR
     0x2219: [474,-28,575,64,510],      // BULLET OPERATOR
-    0x221A: [820,180,958,78,989],      // SQUARE ROOT
-    0x221D: [451,8,894,65,831],        // PROPORTIONAL TO
+    0x221A: [820,180,958,78,988],      // SQUARE ROOT
+    0x221D: [451,8,894,65,830],        // PROPORTIONAL TO
     0x221E: [452,8,1150,65,1084],      // INFINITY
-    0x2220: [715,0,722,55,676],        // ANGLE
+    0x2220: [714,0,722,55,676],        // ANGLE
     0x2223: [750,249,319,129,190],     // DIVIDES
     0x2225: [750,248,575,145,430],     // PARALLEL TO
     0x2227: [604,17,767,64,702],       // LOGICAL AND
-    0x2228: [604,17,767,64,702],       // LOGICAL OR
+    0x2228: [604,16,767,64,702],       // LOGICAL OR
     0x2229: [603,16,767,64,702],       // stix-intersection, serifs
     0x222A: [604,16,767,64,702],       // stix-union, serifs
     0x222B: [711,211,569,64,632],      // INTEGRAL
@@ -54,18 +54,18 @@ MathJax.Hub.Insert(
     0x2248: [524,-32,894,64,829],      // ALMOST EQUAL TO
     0x224D: [533,32,894,64,829],       // EQUIVALENT TO
     0x2250: [721,-109,894,64,829],     // APPROACHES THE LIMIT
-    0x2260: [712,210,894,64,830],      // stix-not (vert) equals
+    0x2260: [711,210,894,64,829],      // stix-not (vert) equals
     0x2261: [505,3,894,64,829],        // IDENTICAL TO
     0x2264: [697,199,894,96,797],      // LESS-THAN OR EQUAL TO
     0x2265: [697,199,894,96,797],      // GREATER-THAN OR EQUAL TO
-    0x226A: [618,117,1150,64,1085],    // MUCH LESS-THAN
-    0x226B: [619,116,1150,64,1085],    // MUCH GREATER-THAN
-    0x227A: [585,86,894,95,797],       // PRECEDES
+    0x226A: [617,116,1150,64,1085],    // MUCH LESS-THAN
+    0x226B: [618,116,1150,64,1085],    // MUCH GREATER-THAN
+    0x227A: [585,86,894,96,797],       // PRECEDES
     0x227B: [586,86,894,96,797],       // SUCCEEDS
     0x2282: [587,85,894,96,797],       // SUBSET OF
-    0x2283: [587,86,894,96,797],       // SUPERSET OF
+    0x2283: [587,86,894,96,796],       // SUPERSET OF
     0x2286: [697,199,894,96,797],      // SUBSET OF OR EQUAL TO
-    0x2287: [697,199,894,96,797],      // SUPERSET OF OR EQUAL TO
+    0x2287: [697,199,894,96,796],      // SUPERSET OF OR EQUAL TO
     0x228E: [604,16,767,64,702],       // MULTISET UNION
     0x2291: [697,199,894,96,828],      // SQUARE IMAGE OF OR EQUAL TO
     0x2292: [697,199,894,66,797],      // SQUARE ORIGINAL OF OR EQUAL TO
@@ -79,12 +79,12 @@ MathJax.Hub.Insert(
     0x22A2: [693,-1,703,65,637],       // RIGHT TACK
     0x22A3: [693,-1,703,64,638],       // LEFT TACK
     0x22A4: [694,-1,894,64,829],       // DOWN TACK
-    0x22A5: [693,-1,894,64,829],       // UP TACK
+    0x22A5: [693,-1,894,65,829],       // UP TACK
     0x22A8: [750,249,974,129,918],     // TRUE
-    0x22C4: [524,21,575,15,561],       // DIAMOND OPERATOR
+    0x22C4: [523,21,575,15,560],       // DIAMOND OPERATOR
     0x22C5: [336,-166,319,74,245],     // DOT OPERATOR
-    0x22C6: [502,1,575,24,551],        // STAR OPERATOR
-    0x22C8: [541,39,1000,33,967],      // BOWTIE
+    0x22C6: [502,0,575,24,550],        // STAR OPERATOR
+    0x22C8: [540,39,1000,33,967],      // BOWTIE
     0x22EE: [951,29,319,74,245],       // VERTICAL ELLIPSIS
     0x22EF: [336,-166,1295,74,1221],   // MIDLINE HORIZONTAL ELLIPSIS
     0x22F1: [871,-101,1323,129,1194]   // DOWN RIGHT DIAGONAL ELLIPSIS
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
index 25c89e968..2634de4f5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
index a30797ab1..fc8aac138 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,13 +21,13 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
-    0x2660: [720,130,894,63,829],      // BLACK SPADE SUIT
+    0x2660: [719,129,894,64,829],      // BLACK SPADE SUIT
     0x2661: [711,24,894,65,828],       // WHITE HEART SUIT
     0x2662: [719,154,894,64,828],      // WHITE DIAMOND SUIT
-    0x2663: [720,130,894,32,861],      // BLACK CLUB SUIT
-    0x266D: [750,17,447,63,382],       // MUSIC FLAT SIGN
-    0x266E: [741,223,447,56,390],      // MUSIC NATURAL SIGN
-    0x266F: [724,224,447,63,383]       // MUSIC SHARP SIGN
+    0x2663: [719,129,894,32,861],      // BLACK CLUB SUIT
+    0x266D: [750,17,447,64,381],       // MUSIC FLAT SIGN
+    0x266E: [741,223,447,57,389],      // MUSIC NATURAL SIGN
+    0x266F: [724,224,447,63,382]       // MUSIC SHARP SIGN
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
index f3b48e867..f83218a85 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,8 +25,8 @@ MathJax.Hub.Insert(
     0x2309: [750,248,511,17,317],      // RIGHT CEILING
     0x230A: [749,248,511,194,493],     // LEFT FLOOR
     0x230B: [749,248,511,17,317],      // RIGHT FLOOR
-    0x2322: [405,-108,1150,64,1084],   // stix-small down curve
-    0x2323: [393,-126,1150,64,1085]    // stix-small up curve
+    0x2322: [405,-108,1150,65,1084],   // stix-small down curve
+    0x2323: [392,-126,1150,64,1085]    // stix-small up curve
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
index 3e473a299..1fb362b96 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -28,8 +28,8 @@ MathJax.Hub.Insert(
     0x2CB: [706,-503,575,114,338],     // MODIFIER LETTER GRAVE ACCENT
     0x2D8: [694,-500,575,102,472],     // BREVE
     0x2D9: [695,-525,575,202,372],     // DOT ABOVE
-    0x2DA: [703,-536,575,160,414],     // RING ABOVE
-    0x2DC: [694,-551,575,96,478]       // SMALL TILDE
+    0x2DA: [702,-536,575,160,414],     // RING ABOVE
+    0x2DC: [694,-552,575,96,478]       // SMALL TILDE
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
index 8be24f1cb..ea06bf37b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,9 +21,9 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
-    0x2A3F: [687,1,900,38,861],        // AMALGAMATION OR COPRODUCT
+    0x2A3F: [686,0,900,39,860],        // AMALGAMATION OR COPRODUCT
     0x2AAF: [696,199,894,96,797],      // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN
-    0x2AB0: [698,199,894,96,797]       // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN
+    0x2AB0: [697,199,894,96,797]       // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
index bbadd77f4..f56ad498f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,13 +21,13 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'],
   {
-    0x27F5: [519,18,1805,64,1741],     // LONG LEFTWARDS ARROW
-    0x27F6: [519,18,1833,96,1774],     // LONG RIGHTWARDS ARROW
-    0x27F7: [519,18,2126,64,2062],     // LONG LEFT RIGHT ARROW
-    0x27F8: [548,46,1868,64,1804],     // LONG LEFTWARDS DOUBLE ARROW
-    0x27F9: [548,47,1870,63,1804],     // LONG RIGHTWARDS DOUBLE ARROW
-    0x27FA: [548,47,2126,64,2060],     // LONG LEFT RIGHT DOUBLE ARROW
-    0x27FC: [519,18,1833,65,1774]      // LONG RIGHTWARDS ARROW FROM BAR
+    0x27F5: [518,17,1805,64,1741],     // LONG LEFTWARDS ARROW
+    0x27F6: [518,17,1833,96,1773],     // LONG RIGHTWARDS ARROW
+    0x27F7: [518,17,2126,64,2061],     // LONG LEFT RIGHT ARROW
+    0x27F8: [547,46,1868,64,1804],     // LONG LEFTWARDS DOUBLE ARROW
+    0x27F9: [547,46,1870,64,1804],     // LONG RIGHTWARDS DOUBLE ARROW
+    0x27FA: [547,46,2126,64,2060],     // LONG LEFT RIGHT DOUBLE ARROW
+    0x27FC: [518,17,1833,65,1773]      // LONG RIGHTWARDS ARROW FROM BAR
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
index 5a31519bf..f6548cd64 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,13 +25,13 @@ MathJax.Hub.Insert(
     0x301: [697,-500,0,-173,39],       // COMBINING ACUTE ACCENT
     0x302: [694,-527,0,-251,17],       // COMBINING CIRCUMFLEX ACCENT
     0x303: [668,-558,0,-265,60],       // COMBINING TILDE
-    0x304: [590,-544,0,-282,54],       // COMBINING MACRON
-    0x306: [695,-515,0,-237,62],       // COMBINING BREVE
+    0x304: [589,-544,0,-282,54],       // COMBINING MACRON
+    0x306: [694,-515,0,-237,62],       // COMBINING BREVE
     0x307: [669,-548,0,-165,-41],      // COMBINING DOT ABOVE
     0x308: [669,-554,0,-251,45],       // COMBINING DIAERESIS
     0x30A: [716,-542,0,-199,3],        // COMBINING RING ABOVE
     0x30B: [697,-503,0,-248,65],       // COMBINING DOUBLE ACUTE ACCENT
-    0x30C: [638,-501,0,-236,29]        // COMBINING CARON
+    0x30C: [638,-502,0,-236,29]        // COMBINING CARON
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
index ab6ab2bdb..977bda79b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,11 +21,11 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-italic'],
   {
-    0x2013: [286,-248,511,91,554],     // EN DASH
+    0x2013: [285,-248,511,91,554],     // EN DASH
     0x2014: [285,-248,1022,117,1038],  // EM DASH
     0x2018: [694,-379,307,197,362],    // LEFT SINGLE QUOTATION MARK
     0x2019: [694,-379,307,213,377],    // RIGHT SINGLE QUOTATION MARK
-    0x201C: [694,-378,514,243,606],    // LEFT DOUBLE QUOTATION MARK
+    0x201C: [694,-379,514,243,606],    // LEFT DOUBLE QUOTATION MARK
     0x201D: [694,-379,514,176,538]     // RIGHT DOUBLE QUOTATION MARK
   }
 );
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
index 8147b90f4..e60546443 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
index e9ee79730..3add7ff33 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
index 6946400c7..b95e7912c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-italic'] = {
   directory: 'Main/Italic',
   family: 'MathJax_Main',
   style: 'italic',
-  testString: "MathJax Main",
+  testString: "MathJax Main ^ \u210F \u2223",
   Ranges: [
     [0xA0,0xFF,"Latin1Supplement"],
     [0x300,0x36F,"CombDiacritMarks"],
@@ -33,101 +33,101 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-italic'] = {
   0x21: [716,0,307,107,380],         // EXCLAMATION MARK
   0x22: [694,-379,514,176,538],      // QUOTATION MARK
   0x23: [694,194,818,115,828],       // NUMBER SIGN
-  0x25: [751,56,818,144,848],        // PERCENT SIGN
+  0x25: [750,56,818,145,847],        // PERCENT SIGN
   0x26: [716,22,767,127,802],        // AMPERSAND
   0x27: [694,-379,307,213,377],      // APOSTROPHE
   0x28: [750,250,409,144,517],       // LEFT PARENTHESIS
   0x29: [750,250,409,17,390],        // RIGHT PARENTHESIS
-  0x2A: [751,-320,511,195,584],      // ASTERISK
-  0x2B: [558,57,767,139,753],        // PLUS SIGN
-  0x2C: [121,194,307,69,233],        // COMMA
-  0x2D: [251,-179,358,84,341],       // HYPHEN-MINUS
+  0x2A: [750,-320,511,195,584],      // ASTERISK
+  0x2B: [557,57,767,139,753],        // PLUS SIGN
+  0x2C: [121,194,307,69,232],        // COMMA
+  0x2D: [251,-180,358,84,341],       // HYPHEN-MINUS
   0x2E: [121,0,307,107,231],         // FULL STOP
   0x2F: [750,250,511,19,617],        // SOLIDUS
   0x30: [665,21,511,110,562],        // DIGIT ZERO
   0x31: [666,0,511,110,468],         // DIGIT ONE
   0x32: [666,22,511,76,551],         // DIGIT TWO
-  0x33: [667,22,511,96,563],         // DIGIT THREE
-  0x34: [666,194,511,46,479],        // DIGIT FOUR
+  0x33: [666,22,511,96,562],         // DIGIT THREE
+  0x34: [666,194,511,46,478],        // DIGIT FOUR
   0x35: [666,22,511,106,567],        // DIGIT FIVE
-  0x36: [665,22,511,120,566],        // DIGIT SIX
+  0x36: [665,22,511,120,565],        // DIGIT SIX
   0x37: [666,22,511,136,634],        // DIGIT SEVEN
   0x38: [666,21,511,99,553],         // DIGIT EIGHT
   0x39: [666,22,511,107,553],        // DIGIT NINE
   0x3A: [431,0,307,107,308],         // COLON
   0x3B: [431,194,307,70,308],        // SEMICOLON
   0x3D: [367,-133,767,116,776],      // EQUALS SIGN
-  0x3F: [717,0,511,195,551],         // QUESTION MARK
+  0x3F: [716,0,511,195,551],         // QUESTION MARK
   0x40: [705,11,767,152,789],        // COMMERCIAL AT
-  0x41: [716,1,743,58,696],          // LATIN CAPITAL LETTER A
-  0x42: [683,1,704,57,732],          // LATIN CAPITAL LETTER B
+  0x41: [716,0,743,58,696],          // LATIN CAPITAL LETTER A
+  0x42: [683,0,704,57,732],          // LATIN CAPITAL LETTER B
   0x43: [705,21,716,150,812],        // LATIN CAPITAL LETTER C
-  0x44: [683,1,755,56,775],          // LATIN CAPITAL LETTER D
-  0x45: [681,0,678,54,743],          // LATIN CAPITAL LETTER E
-  0x46: [681,0,653,54,731],          // LATIN CAPITAL LETTER F
-  0x47: [705,22,774,149,812],        // LATIN CAPITAL LETTER G
+  0x44: [683,0,755,56,775],          // LATIN CAPITAL LETTER D
+  0x45: [680,0,678,54,743],          // LATIN CAPITAL LETTER E
+  0x46: [680,-1,653,54,731],         // LATIN CAPITAL LETTER F
+  0x47: [705,22,774,150,812],        // LATIN CAPITAL LETTER G
   0x48: [683,0,743,54,860],          // LATIN CAPITAL LETTER H
   0x49: [683,0,386,49,508],          // LATIN CAPITAL LETTER I
   0x4A: [683,21,525,78,622],         // LATIN CAPITAL LETTER J
   0x4B: [683,0,769,54,859],          // LATIN CAPITAL LETTER K
   0x4C: [683,0,627,54,628],          // LATIN CAPITAL LETTER L
-  0x4D: [684,0,897,58,1010],         // LATIN CAPITAL LETTER M
-  0x4E: [684,0,743,54,860],          // LATIN CAPITAL LETTER N
+  0x4D: [683,0,897,58,1010],         // LATIN CAPITAL LETTER M
+  0x4E: [683,0,743,54,860],          // LATIN CAPITAL LETTER N
   0x4F: [704,22,767,149,788],        // LATIN CAPITAL LETTER O
-  0x50: [684,0,678,55,729],          // LATIN CAPITAL LETTER P
+  0x50: [683,0,678,55,729],          // LATIN CAPITAL LETTER P
   0x51: [704,194,767,149,788],       // LATIN CAPITAL LETTER Q
   0x52: [683,22,729,55,723],         // LATIN CAPITAL LETTER R
-  0x53: [706,22,562,74,634],         // LATIN CAPITAL LETTER S
-  0x54: [678,0,716,171,807],         // LATIN CAPITAL LETTER T
-  0x55: [684,22,743,194,860],        // LATIN CAPITAL LETTER U
+  0x53: [705,22,562,74,633],         // LATIN CAPITAL LETTER S
+  0x54: [677,0,716,171,806],         // LATIN CAPITAL LETTER T
+  0x55: [683,22,743,194,860],        // LATIN CAPITAL LETTER U
   0x56: [683,22,743,205,868],        // LATIN CAPITAL LETTER V
   0x57: [683,22,999,205,1124],       // LATIN CAPITAL LETTER W
-  0x58: [684,0,743,50,826],          // LATIN CAPITAL LETTER X
-  0x59: [684,0,743,198,875],         // LATIN CAPITAL LETTER Y
-  0x5A: [683,1,613,80,705],          // LATIN CAPITAL LETTER Z
-  0x5B: [751,251,307,73,446],        // LEFT SQUARE BRACKET
-  0x5D: [751,251,307,-14,359],       // RIGHT SQUARE BRACKET
+  0x58: [683,0,743,50,825],          // LATIN CAPITAL LETTER X
+  0x59: [683,0,743,198,875],         // LATIN CAPITAL LETTER Y
+  0x5A: [683,0,613,80,704],          // LATIN CAPITAL LETTER Z
+  0x5B: [750,250,307,73,446],        // LEFT SQUARE BRACKET
+  0x5D: [750,250,307,-14,359],       // RIGHT SQUARE BRACKET
   0x5E: [694,-527,511,260,528],      // CIRCUMFLEX ACCENT
-  0x5F: [-24,62,511,91,554],         // LOW LINE
+  0x5F: [-25,62,511,91,554],         // LOW LINE
   0x61: [442,11,511,101,543],        // LATIN SMALL LETTER A
   0x62: [694,11,460,108,467],        // LATIN SMALL LETTER B
-  0x63: [441,10,460,103,470],        // LATIN SMALL LETTER C
-  0x64: [694,11,511,100,567],        // LATIN SMALL LETTER D
+  0x63: [441,10,460,103,469],        // LATIN SMALL LETTER C
+  0x64: [694,11,511,101,567],        // LATIN SMALL LETTER D
   0x65: [442,10,460,107,470],        // LATIN SMALL LETTER E
   0x66: [705,204,307,-23,450],       // LATIN SMALL LETTER F
-  0x67: [442,205,460,46,495],        // LATIN SMALL LETTER G
-  0x68: [695,11,511,69,544],         // LATIN SMALL LETTER H
+  0x67: [442,205,460,46,494],        // LATIN SMALL LETTER G
+  0x68: [694,11,511,69,544],         // LATIN SMALL LETTER H
   0x69: [656,10,307,75,340],         // LATIN SMALL LETTER I
   0x6A: [656,204,307,-32,364],       // LATIN SMALL LETTER J
-  0x6B: [694,11,460,69,499],         // LATIN SMALL LETTER K
+  0x6B: [694,11,460,69,498],         // LATIN SMALL LETTER K
   0x6C: [694,11,256,87,312],         // LATIN SMALL LETTER L
-  0x6D: [443,11,818,75,851],         // LATIN SMALL LETTER M
-  0x6E: [443,11,562,75,595],         // LATIN SMALL LETTER N
+  0x6D: [442,11,818,75,851],         // LATIN SMALL LETTER M
+  0x6E: [442,11,562,75,595],         // LATIN SMALL LETTER N
   0x6F: [442,11,511,103,517],        // LATIN SMALL LETTER O
-  0x70: [442,194,511,5,518],         // LATIN SMALL LETTER P
-  0x71: [442,195,460,100,504],       // LATIN SMALL LETTER Q
+  0x70: [442,194,511,6,518],         // LATIN SMALL LETTER P
+  0x71: [442,194,460,101,504],       // LATIN SMALL LETTER Q
   0x72: [442,11,422,75,484],         // LATIN SMALL LETTER R
   0x73: [442,11,409,76,418],         // LATIN SMALL LETTER S
-  0x74: [627,11,332,87,373],         // LATIN SMALL LETTER T
+  0x74: [626,11,332,87,373],         // LATIN SMALL LETTER T
   0x75: [441,11,537,75,570],         // LATIN SMALL LETTER U
   0x76: [443,10,460,75,492],         // LATIN SMALL LETTER V
-  0x77: [443,12,664,74,696],         // LATIN SMALL LETTER W
+  0x77: [443,11,664,75,696],         // LATIN SMALL LETTER W
   0x78: [442,11,464,58,513],         // LATIN SMALL LETTER X
-  0x79: [441,206,486,75,522],        // LATIN SMALL LETTER Y
+  0x79: [441,205,486,75,522],        // LATIN SMALL LETTER Y
   0x7A: [442,11,409,54,466],         // LATIN SMALL LETTER Z
   0x7E: [318,-208,511,246,571],      // TILDE
-  0xA3: [714,11,769,87,699],         // POUND SIGN
+  0xA3: [714,11,769,88,699],         // POUND SIGN
   0x131: [441,10,307,75,340],        // LATIN SMALL LETTER DOTLESS I
-  0x237: [442,205,332,-32,327],      // LATIN SMALL LETTER DOTLESS J
-  0x393: [680,0,627,54,706],         // GREEK CAPITAL LETTER GAMMA
-  0x394: [717,1,818,70,751],         // GREEK CAPITAL LETTER DELTA
+  0x237: [442,204,332,-32,327],      // LATIN SMALL LETTER DOTLESS J
+  0x393: [680,0,627,54,705],         // GREEK CAPITAL LETTER GAMMA
+  0x394: [716,0,818,70,751],         // GREEK CAPITAL LETTER DELTA
   0x398: [704,22,767,149,788],       // GREEK CAPITAL LETTER THETA
-  0x39B: [717,0,692,58,646],         // GREEK CAPITAL LETTER LAMDA
-  0x39E: [678,1,664,74,754],         // GREEK CAPITAL LETTER XI
+  0x39B: [716,0,692,58,646],         // GREEK CAPITAL LETTER LAMDA
+  0x39E: [677,0,664,74,754],         // GREEK CAPITAL LETTER XI
   0x3A0: [680,0,743,54,859],         // GREEK CAPITAL LETTER PI
-  0x3A3: [683,1,716,80,782],         // GREEK CAPITAL LETTER SIGMA
-  0x3A5: [706,0,767,213,833],        // GREEK CAPITAL LETTER UPSILON
-  0x3A6: [683,1,716,158,728],        // GREEK CAPITAL LETTER PHI
+  0x3A3: [683,0,716,80,782],         // GREEK CAPITAL LETTER SIGMA
+  0x3A5: [705,0,767,213,832],        // GREEK CAPITAL LETTER UPSILON
+  0x3A6: [683,0,716,159,728],        // GREEK CAPITAL LETTER PHI
   0x3A8: [683,0,767,207,824],        // GREEK CAPITAL LETTER PSI
   0x3A9: [705,0,716,100,759]         // GREEK CAPITAL LETTER OMEGA
 };
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
index 1146023da..ac2155612 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
index 1c7231591..b7c72e725 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
index 6b27a1723..849992d8f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = {
   directory: 'Main/Regular',
   family: 'MathJax_Main',
-  testString: "MathJax Main",
+  testString: "MathJax Main ^ \u210F \u2223",
   skew: {
     0x131: 0.0278,
     0x237: 0.0833,
@@ -38,62 +38,62 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = {
   0x20: [0,0,250,0,0],               // SPACE
   0x21: [716,-1,278,78,199],         // EXCLAMATION MARK
   0x22: [694,-379,500,34,372],       // QUOTATION MARK
-  0x23: [694,194,833,55,778],        // NUMBER SIGN
-  0x24: [750,56,500,54,444],         // DOLLAR SIGN
+  0x23: [694,194,833,56,777],        // NUMBER SIGN
+  0x24: [750,56,500,55,444],         // DOLLAR SIGN
   0x25: [750,56,833,56,776],         // PERCENT SIGN
-  0x26: [717,22,778,42,727],         // AMPERSAND
+  0x26: [716,22,778,42,727],         // AMPERSAND
   0x27: [694,-379,278,78,212],       // APOSTROPHE
-  0x28: [751,251,389,94,333],        // LEFT PARENTHESIS
+  0x28: [750,250,389,94,333],        // LEFT PARENTHESIS
   0x29: [750,250,389,55,294],        // RIGHT PARENTHESIS
-  0x2A: [750,-319,500,64,435],       // ASTERISK
-  0x2B: [583,83,778,55,722],         // PLUS SIGN
+  0x2A: [750,-320,500,64,435],       // ASTERISK
+  0x2B: [583,82,778,56,722],         // PLUS SIGN
   0x2C: [121,194,278,78,210],        // COMMA
   0x2D: [252,-179,333,11,277],       // HYPHEN-MINUS
   0x2E: [120,0,278,78,199],          // FULL STOP
-  0x2F: [751,250,500,56,445],        // SOLIDUS
+  0x2F: [750,250,500,56,445],        // SOLIDUS
   0x30: [666,22,500,39,460],         // DIGIT ZERO
   0x31: [666,0,500,83,427],          // DIGIT ONE
-  0x32: [666,1,500,49,449],          // DIGIT TWO
-  0x33: [665,23,500,41,457],         // DIGIT THREE
+  0x32: [666,0,500,50,449],          // DIGIT TWO
+  0x33: [665,22,500,42,457],         // DIGIT THREE
   0x34: [677,0,500,28,471],          // DIGIT FOUR
-  0x35: [666,22,500,49,449],         // DIGIT FIVE
+  0x35: [666,22,500,50,449],         // DIGIT FIVE
   0x36: [666,22,500,42,456],         // DIGIT SIX
   0x37: [676,22,500,55,485],         // DIGIT SEVEN
   0x38: [666,22,500,43,457],         // DIGIT EIGHT
-  0x39: [666,22,500,41,456],         // DIGIT NINE
+  0x39: [666,22,500,42,456],         // DIGIT NINE
   0x3A: [430,0,278,78,199],          // COLON
   0x3B: [430,194,278,78,202],        // SEMICOLON
   0x3C: [540,40,778,83,694],         // LESS-THAN SIGN
-  0x3D: [367,-133,778,55,722],       // EQUALS SIGN
-  0x3E: [540,40,778,82,694],         // GREATER-THAN SIGN
-  0x3F: [706,-1,472,55,416],         // QUESTION MARK
+  0x3D: [367,-133,778,56,722],       // EQUALS SIGN
+  0x3E: [540,40,778,83,694],         // GREATER-THAN SIGN
+  0x3F: [705,-1,472,55,416],         // QUESTION MARK
   0x40: [705,11,778,56,722],         // COMMERCIAL AT
-  0x41: [717,0,750,32,717],          // LATIN CAPITAL LETTER A
-  0x42: [684,0,708,28,651],          // LATIN CAPITAL LETTER B
-  0x43: [706,21,722,56,666],         // LATIN CAPITAL LETTER C
+  0x41: [716,0,750,32,717],          // LATIN CAPITAL LETTER A
+  0x42: [683,0,708,28,651],          // LATIN CAPITAL LETTER B
+  0x43: [705,21,722,56,666],         // LATIN CAPITAL LETTER C
   0x44: [683,0,764,27,708],          // LATIN CAPITAL LETTER D
-  0x45: [680,0,681,24,652],          // LATIN CAPITAL LETTER E
-  0x46: [680,0,653,25,611],          // LATIN CAPITAL LETTER F
-  0x47: [706,22,785,56,735],         // LATIN CAPITAL LETTER G
+  0x45: [680,0,681,25,652],          // LATIN CAPITAL LETTER E
+  0x46: [680,0,653,25,610],          // LATIN CAPITAL LETTER F
+  0x47: [705,22,785,56,735],         // LATIN CAPITAL LETTER G
   0x48: [683,0,750,25,724],          // LATIN CAPITAL LETTER H
   0x49: [683,0,361,21,339],          // LATIN CAPITAL LETTER I
   0x4A: [683,22,514,25,465],         // LATIN CAPITAL LETTER J
-  0x4B: [683,0,778,24,736],          // LATIN CAPITAL LETTER K
+  0x4B: [683,0,778,25,736],          // LATIN CAPITAL LETTER K
   0x4C: [683,0,625,25,582],          // LATIN CAPITAL LETTER L
   0x4D: [683,0,917,29,887],          // LATIN CAPITAL LETTER M
   0x4E: [683,0,750,25,724],          // LATIN CAPITAL LETTER N
   0x4F: [705,22,778,56,722],         // LATIN CAPITAL LETTER O
-  0x50: [684,0,681,27,624],          // LATIN CAPITAL LETTER P
+  0x50: [683,0,681,27,624],          // LATIN CAPITAL LETTER P
   0x51: [705,193,778,56,728],        // LATIN CAPITAL LETTER Q
-  0x52: [684,22,736,27,732],         // LATIN CAPITAL LETTER R
-  0x53: [706,23,556,55,500],         // LATIN CAPITAL LETTER S
+  0x52: [683,22,736,27,732],         // LATIN CAPITAL LETTER R
+  0x53: [705,22,556,55,500],         // LATIN CAPITAL LETTER S
   0x54: [677,0,722,36,685],          // LATIN CAPITAL LETTER T
-  0x55: [684,22,750,25,724],         // LATIN CAPITAL LETTER U
-  0x56: [683,23,750,19,730],         // LATIN CAPITAL LETTER V
-  0x57: [683,23,1028,18,1009],       // LATIN CAPITAL LETTER W
-  0x58: [683,1,750,23,727],          // LATIN CAPITAL LETTER X
-  0x59: [684,0,750,11,738],          // LATIN CAPITAL LETTER Y
-  0x5A: [683,1,611,55,560],          // LATIN CAPITAL LETTER Z
+  0x55: [683,22,750,25,724],         // LATIN CAPITAL LETTER U
+  0x56: [683,22,750,19,730],         // LATIN CAPITAL LETTER V
+  0x57: [683,22,1028,18,1009],       // LATIN CAPITAL LETTER W
+  0x58: [683,0,750,23,726],          // LATIN CAPITAL LETTER X
+  0x59: [683,0,750,11,738],          // LATIN CAPITAL LETTER Y
+  0x5A: [683,0,611,55,560],          // LATIN CAPITAL LETTER Z
   0x5B: [750,250,278,118,255],       // LEFT SQUARE BRACKET
   0x5C: [750,250,500,56,444],        // REVERSE SOLIDUS
   0x5D: [750,250,278,22,159],        // RIGHT SQUARE BRACKET
@@ -105,40 +105,40 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = {
   0x63: [448,11,444,34,415],         // LATIN SMALL LETTER C
   0x64: [694,11,556,34,535],         // LATIN SMALL LETTER D
   0x65: [448,11,444,28,415],         // LATIN SMALL LETTER E
-  0x66: [705,0,306,25,372],          // LATIN SMALL LETTER F
+  0x66: [705,0,306,26,372],          // LATIN SMALL LETTER F
   0x67: [453,206,500,29,485],        // LATIN SMALL LETTER G
-  0x68: [695,0,556,25,543],          // LATIN SMALL LETTER H
+  0x68: [694,0,556,25,542],          // LATIN SMALL LETTER H
   0x69: [669,0,278,26,255],          // LATIN SMALL LETTER I
   0x6A: [669,205,306,-55,218],       // LATIN SMALL LETTER J
-  0x6B: [695,0,528,20,512],          // LATIN SMALL LETTER K
+  0x6B: [694,0,528,20,511],          // LATIN SMALL LETTER K
   0x6C: [694,0,278,26,263],          // LATIN SMALL LETTER L
-  0x6D: [443,0,833,25,820],          // LATIN SMALL LETTER M
-  0x6E: [443,0,556,25,543],          // LATIN SMALL LETTER N
+  0x6D: [442,0,833,25,819],          // LATIN SMALL LETTER M
+  0x6E: [442,0,556,25,542],          // LATIN SMALL LETTER N
   0x6F: [448,10,500,28,471],         // LATIN SMALL LETTER O
-  0x70: [443,194,556,20,522],        // LATIN SMALL LETTER P
+  0x70: [442,194,556,20,522],        // LATIN SMALL LETTER P
   0x71: [442,194,528,33,535],        // LATIN SMALL LETTER Q
   0x72: [442,0,392,20,364],          // LATIN SMALL LETTER R
-  0x73: [449,12,394,32,359],         // LATIN SMALL LETTER S
-  0x74: [615,10,389,18,334],         // LATIN SMALL LETTER T
+  0x73: [448,11,394,33,359],         // LATIN SMALL LETTER S
+  0x74: [615,10,389,18,333],         // LATIN SMALL LETTER T
   0x75: [442,11,556,25,542],         // LATIN SMALL LETTER U
   0x76: [431,11,528,19,508],         // LATIN SMALL LETTER V
-  0x77: [432,12,722,18,704],         // LATIN SMALL LETTER W
-  0x78: [431,0,528,10,516],          // LATIN SMALL LETTER X
+  0x77: [431,11,722,18,703],         // LATIN SMALL LETTER W
+  0x78: [431,0,528,11,516],          // LATIN SMALL LETTER X
   0x79: [431,204,528,19,508],        // LATIN SMALL LETTER Y
   0x7A: [431,0,444,28,401],          // LATIN SMALL LETTER Z
-  0x7B: [750,250,500,64,434],        // LEFT CURLY BRACKET
-  0x7C: [750,250,278,119,159],       // VERTICAL LINE
-  0x7D: [750,250,500,64,435],        // RIGHT CURLY BRACKET
+  0x7B: [750,250,500,65,434],        // LEFT CURLY BRACKET
+  0x7C: [750,249,278,119,159],       // VERTICAL LINE
+  0x7D: [750,250,500,65,434],        // RIGHT CURLY BRACKET
   0x7E: [318,-215,500,83,416],       // TILDE
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0xA8: [669,-554,500,95,404],       // DIAERESIS
-  0xAC: [356,-89,667,55,611],        // NOT SIGN
+  0xAC: [356,-89,667,56,611],        // NOT SIGN
   0xAF: [590,-544,500,69,430],       // MACRON
   0xB0: [715,-542,500,147,352],      // DEGREE SIGN
-  0xB1: [666,0,778,55,722],          // PLUS-MINUS SIGN
+  0xB1: [666,0,778,56,722],          // PLUS-MINUS SIGN
   0xB4: [699,-505,500,203,393],      // ACUTE ACCENT
-  0xD7: [491,-9,778,147,631],        // MULTIPLICATION SIGN
-  0xF7: [537,36,778,55,721],         // DIVISION SIGN
+  0xD7: [491,-9,778,147,630],        // MULTIPLICATION SIGN
+  0xF7: [537,36,778,56,721],         // DIVISION SIGN
   0x131: [442,0,278,26,255],         // LATIN SMALL LETTER DOTLESS I
   0x237: [442,205,306,-55,218],      // LATIN SMALL LETTER DOTLESS J
   0x2C6: [694,-531,500,112,387],     // MODIFIER LETTER CIRCUMFLEX ACCENT
@@ -149,17 +149,17 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = {
   0x2D8: [694,-515,500,92,407],      // BREVE
   0x2D9: [669,-549,500,190,309],     // DOT ABOVE
   0x2DC: [668,-565,500,83,416],      // SMALL TILDE
-  0x393: [681,0,625,25,582],         // GREEK CAPITAL LETTER GAMMA
+  0x393: [680,0,625,25,582],         // GREEK CAPITAL LETTER GAMMA
   0x394: [716,0,833,46,786],         // GREEK CAPITAL LETTER DELTA
   0x398: [705,22,778,56,722],        // GREEK CAPITAL LETTER THETA
-  0x39B: [717,0,694,32,661],         // GREEK CAPITAL LETTER LAMDA
+  0x39B: [716,0,694,32,661],         // GREEK CAPITAL LETTER LAMDA
   0x39E: [677,0,667,42,624],         // GREEK CAPITAL LETTER XI
   0x3A0: [680,0,750,25,724],         // GREEK CAPITAL LETTER PI
-  0x3A3: [683,1,722,55,666],         // GREEK CAPITAL LETTER SIGMA
+  0x3A3: [683,0,722,55,666],         // GREEK CAPITAL LETTER SIGMA
   0x3A5: [705,0,778,55,722],         // GREEK CAPITAL LETTER UPSILON
   0x3A6: [683,0,722,56,665],         // GREEK CAPITAL LETTER PHI
-  0x3A8: [683,0,778,54,722],         // GREEK CAPITAL LETTER PSI
-  0x3A9: [704,1,722,44,677],         // GREEK CAPITAL LETTER OMEGA
+  0x3A8: [683,0,778,55,722],         // GREEK CAPITAL LETTER PSI
+  0x3A9: [704,0,722,44,677],         // GREEK CAPITAL LETTER OMEGA
   0x2002: [0,0,500,0,0],             // ??
   0x2003: [0,0,999,0,0],             // ??
   0x2004: [0,0,333,0,0],             // ??
@@ -173,66 +173,66 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = {
   0x2019: [694,-379,278,78,212],     // RIGHT SINGLE QUOTATION MARK
   0x201C: [694,-379,500,128,466],    // LEFT DOUBLE QUOTATION MARK
   0x201D: [694,-379,500,34,372],     // RIGHT DOUBLE QUOTATION MARK
-  0x2020: [705,217,444,55,390],      // DAGGER
-  0x2021: [705,206,444,55,389],      // DOUBLE DAGGER
+  0x2020: [705,216,444,55,389],      // DAGGER
+  0x2021: [705,205,444,55,389],      // DOUBLE DAGGER
   0x2026: [120,0,1172,78,1093],      // HORIZONTAL ELLIPSIS
   0x2032: [560,-43,275,30,262],      // PRIME
   0x20D7: [714,-516,0,-471,-29],     // COMBINING RIGHT ARROW ABOVE
   0x210F: [695,13,540,42,562],       // stix-/hbar - Planck's over 2pi
-  0x2111: [705,11,722,54,693],       // BLACK-LETTER CAPITAL I
-  0x2113: [706,20,417,6,398],        // SCRIPT SMALL L
+  0x2111: [705,10,722,55,693],       // BLACK-LETTER CAPITAL I
+  0x2113: [705,20,417,6,397],        // SCRIPT SMALL L
   0x2118: [453,216,636,67,625],      // SCRIPT CAPITAL P
-  0x211C: [717,22,722,40,716],       // BLACK-LETTER CAPITAL R
-  0x2135: [694,1,611,54,556],        // ALEF SYMBOL
-  0x2190: [511,12,1000,54,944],      // LEFTWARDS ARROW
-  0x2191: [694,194,500,17,483],      // UPWARDS ARROW
-  0x2192: [512,11,1000,55,945],      // RIGHTWARDS ARROW
+  0x211C: [716,22,722,40,715],       // BLACK-LETTER CAPITAL R
+  0x2135: [694,0,611,55,555],        // ALEF SYMBOL
+  0x2190: [511,11,1000,55,944],      // LEFTWARDS ARROW
+  0x2191: [694,193,500,17,483],      // UPWARDS ARROW
+  0x2192: [511,11,1000,56,944],      // RIGHTWARDS ARROW
   0x2193: [694,194,500,17,483],      // DOWNWARDS ARROW
-  0x2194: [511,11,1000,55,945],      // LEFT RIGHT ARROW
+  0x2194: [511,11,1000,55,944],      // LEFT RIGHT ARROW
   0x2195: [772,272,500,17,483],      // UP DOWN ARROW
-  0x2196: [720,196,1000,29,944],     // NORTH WEST ARROW
+  0x2196: [720,195,1000,29,944],     // NORTH WEST ARROW
   0x2197: [720,195,1000,55,970],     // NORTH EAST ARROW
   0x2198: [695,220,1000,55,970],     // SOUTH EAST ARROW
   0x2199: [695,220,1000,29,944],     // SOUTH WEST ARROW
-  0x21A6: [512,11,1000,54,945],      // RIGHTWARDS ARROW FROM BAR
-  0x21A9: [511,12,1126,54,1070],     // LEFTWARDS ARROW WITH HOOK
-  0x21AA: [512,11,1126,55,1071],     // RIGHTWARDS ARROW WITH HOOK
+  0x21A6: [511,11,1000,55,944],      // RIGHTWARDS ARROW FROM BAR
+  0x21A9: [511,11,1126,55,1070],     // LEFTWARDS ARROW WITH HOOK
+  0x21AA: [511,11,1126,55,1070],     // RIGHTWARDS ARROW WITH HOOK
   0x21BC: [511,-230,1000,55,944],    // LEFTWARDS HARPOON WITH BARB UPWARDS
   0x21BD: [270,11,1000,55,944],      // LEFTWARDS HARPOON WITH BARB DOWNWARDS
-  0x21C0: [511,-230,1000,55,944],    // RIGHTWARDS HARPOON WITH BARB UPWARDS
-  0x21C1: [270,11,1000,55,945],      // RIGHTWARDS HARPOON WITH BARB DOWNWARDS
+  0x21C0: [511,-230,1000,56,944],    // RIGHTWARDS HARPOON WITH BARB UPWARDS
+  0x21C1: [270,11,1000,56,944],      // RIGHTWARDS HARPOON WITH BARB DOWNWARDS
   0x21CC: [671,11,1000,55,944],      // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON
-  0x21D0: [525,24,1000,55,944],      // LEFTWARDS DOUBLE ARROW
+  0x21D0: [525,24,1000,56,944],      // LEFTWARDS DOUBLE ARROW
   0x21D1: [694,194,611,31,579],      // UPWARDS DOUBLE ARROW
-  0x21D2: [525,25,1000,55,944],      // RIGHTWARDS DOUBLE ARROW
+  0x21D2: [525,24,1000,56,944],      // RIGHTWARDS DOUBLE ARROW
   0x21D3: [694,194,611,31,579],      // DOWNWARDS DOUBLE ARROW
-  0x21D4: [525,25,1000,34,966],      // LEFT RIGHT DOUBLE ARROW
-  0x21D5: [772,272,611,31,580],      // UP DOWN DOUBLE ARROW
+  0x21D4: [526,25,1000,34,966],      // LEFT RIGHT DOUBLE ARROW
+  0x21D5: [772,272,611,31,579],      // UP DOWN DOUBLE ARROW
   0x2200: [694,22,556,0,556],        // FOR ALL
-  0x2202: [715,22,531,41,566],       // PARTIAL DIFFERENTIAL
-  0x2203: [694,0,556,55,500],        // THERE EXISTS
+  0x2202: [715,22,531,42,566],       // PARTIAL DIFFERENTIAL
+  0x2203: [694,0,556,56,500],        // THERE EXISTS
   0x2205: [772,78,500,39,460],       // EMPTY SET
   0x2207: [683,33,833,46,786],       // NABLA
-  0x2208: [541,41,667,84,584],       // ELEMENT OF
-  0x2209: [716,215,667,84,584],      // stix-negated (vert) set membership, variant
-  0x220B: [541,40,667,83,582],       // CONTAINS AS MEMBER
-  0x2212: [270,-230,778,83,694],     // MINUS SIGN
-  0x2213: [500,167,778,55,722],      // MINUS-OR-PLUS SIGN
-  0x2215: [751,250,500,56,445],      // DIVISION SLASH
+  0x2208: [540,40,667,84,583],       // ELEMENT OF
+  0x2209: [716,215,667,84,583],      // stix-negated (vert) set membership, variant
+  0x220B: [540,40,667,83,582],       // CONTAINS AS MEMBER
+  0x2212: [270,-230,778,84,694],     // MINUS SIGN
+  0x2213: [500,166,778,56,722],      // MINUS-OR-PLUS SIGN
+  0x2215: [750,250,500,56,445],      // DIVISION SLASH
   0x2216: [750,250,500,56,444],      // SET MINUS
-  0x2217: [465,-34,500,64,435],      // ASTERISK OPERATOR
+  0x2217: [465,-35,500,64,435],      // ASTERISK OPERATOR
   0x2218: [444,-55,500,55,444],      // RING OPERATOR
   0x2219: [444,-55,500,55,444],      // BULLET OPERATOR
   0x221A: [800,200,833,72,853],      // SQUARE ROOT
   0x221D: [442,11,778,56,722],       // PROPORTIONAL TO
   0x221E: [442,11,1000,55,944],      // INFINITY
   0x2220: [694,0,722,55,666],        // ANGLE
-  0x2223: [750,250,278,119,159],     // DIVIDES
+  0x2223: [750,249,278,119,159],     // DIVIDES
   0x2225: [750,250,500,132,367],     // PARALLEL TO
   0x2227: [598,22,667,55,611],       // LOGICAL AND
   0x2228: [598,22,667,55,611],       // LOGICAL OR
   0x2229: [598,22,667,55,611],       // stix-intersection, serifs
-  0x222A: [599,22,667,55,611],       // stix-union, serifs
+  0x222A: [598,22,667,55,611],       // stix-union, serifs
   0x222B: [716,216,417,55,472],      // INTEGRAL
   0x223C: [367,-133,778,55,722],     // TILDE OPERATOR
   0x2240: [583,83,278,55,222],       // WREATH PRODUCT
@@ -240,22 +240,22 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = {
   0x2245: [589,-22,1000,55,722],     // APPROXIMATELY EQUAL TO
   0x2248: [483,-55,778,55,722],      // ALMOST EQUAL TO
   0x224D: [484,-16,778,55,722],      // EQUIVALENT TO
-  0x2250: [670,-133,778,55,722],     // APPROACHES THE LIMIT
-  0x2260: [716,215,778,55,722],      // stix-not (vert) equals
-  0x2261: [464,-36,778,55,722],      // IDENTICAL TO
+  0x2250: [670,-133,778,56,722],     // APPROACHES THE LIMIT
+  0x2260: [716,215,778,56,722],      // stix-not (vert) equals
+  0x2261: [464,-36,778,56,722],      // IDENTICAL TO
   0x2264: [636,138,778,83,694],      // LESS-THAN OR EQUAL TO
-  0x2265: [636,138,778,82,694],      // GREATER-THAN OR EQUAL TO
-  0x226A: [568,68,1000,56,944],      // MUCH LESS-THAN
-  0x226B: [567,67,1000,55,945],      // MUCH GREATER-THAN
-  0x227A: [539,41,778,84,695],       // PRECEDES
+  0x2265: [636,138,778,83,694],      // GREATER-THAN OR EQUAL TO
+  0x226A: [568,67,1000,56,944],      // MUCH LESS-THAN
+  0x226B: [567,67,1000,55,944],      // MUCH GREATER-THAN
+  0x227A: [539,41,778,84,694],       // PRECEDES
   0x227B: [539,41,778,83,694],       // SUCCEEDS
-  0x2282: [540,41,778,84,695],       // SUBSET OF
-  0x2283: [541,40,778,82,693],       // SUPERSET OF
-  0x2286: [636,139,778,84,695],      // SUBSET OF OR EQUAL TO
-  0x2287: [637,138,778,83,693],      // SUPERSET OF OR EQUAL TO
-  0x228E: [599,22,667,55,611],       // MULTISET UNION
-  0x2291: [636,138,778,83,714],      // SQUARE IMAGE OF OR EQUAL TO
-  0x2292: [636,138,778,63,694],      // SQUARE ORIGINAL OF OR EQUAL TO
+  0x2282: [540,40,778,84,694],       // SUBSET OF
+  0x2283: [540,40,778,83,693],       // SUPERSET OF
+  0x2286: [636,138,778,84,694],      // SUBSET OF OR EQUAL TO
+  0x2287: [636,138,778,83,693],      // SUPERSET OF OR EQUAL TO
+  0x228E: [598,22,667,55,611],       // MULTISET UNION
+  0x2291: [636,138,778,84,714],      // SQUARE IMAGE OF OR EQUAL TO
+  0x2292: [636,138,778,64,694],      // SQUARE ORIGINAL OF OR EQUAL TO
   0x2293: [598,0,667,61,605],        // stix-square intersection, serifs
   0x2294: [598,0,667,61,605],        // stix-square union, serifs
   0x2295: [583,83,778,56,722],       // stix-circled plus (with rim)
@@ -267,35 +267,35 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = {
   0x22A3: [694,0,611,55,555],        // LEFT TACK
   0x22A4: [668,0,778,55,723],        // DOWN TACK
   0x22A5: [668,0,778,55,723],        // UP TACK
-  0x22A8: [750,250,867,119,811],     // TRUE
+  0x22A8: [750,249,867,119,811],     // TRUE
   0x22C4: [488,-12,500,12,488],      // DIAMOND OPERATOR
   0x22C5: [310,-190,278,78,199],     // DOT OPERATOR
   0x22C6: [486,-16,500,3,497],       // STAR OPERATOR
-  0x22C8: [505,6,900,25,873],        // BOWTIE
+  0x22C8: [505,5,900,26,873],        // BOWTIE
   0x22EE: [900,30,278,78,199],       // VERTICAL ELLIPSIS
   0x22EF: [310,-190,1172,78,1093],   // MIDLINE HORIZONTAL ELLIPSIS
   0x22F1: [820,-100,1282,133,1148],  // DOWN RIGHT DIAGONAL ELLIPSIS
-  0x2308: [751,250,444,174,422],     // LEFT CEILING
-  0x2309: [751,250,444,21,269],      // RIGHT CEILING
-  0x230A: [750,251,444,174,422],     // LEFT FLOOR
-  0x230B: [751,251,444,20,269],      // RIGHT FLOOR
+  0x2308: [750,250,444,174,422],     // LEFT CEILING
+  0x2309: [750,250,444,21,269],      // RIGHT CEILING
+  0x230A: [750,250,444,174,422],     // LEFT FLOOR
+  0x230B: [750,250,444,21,269],      // RIGHT FLOOR
   0x2322: [388,-122,1000,55,944],    // stix-small down curve
   0x2323: [378,-134,1000,55,944],    // stix-small up curve
-  0x23B0: [744,245,412,55,357],      // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION
-  0x23B1: [745,244,412,55,357],      // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION
+  0x23B0: [744,244,412,55,357],      // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION
+  0x23B1: [744,244,412,56,357],      // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION
   0x27E8: [750,250,389,110,333],     // MATHEMATICAL LEFT ANGLE BRACKET
   0x27E9: [750,250,389,55,278],      // MATHEMATICAL RIGHT ANGLE BRACKET
-  0x27EE: [744,245,412,173,357],     // MATHEMATICAL LEFT FLATTENED PARENTHESIS
-  0x27EF: [744,245,412,55,240],      // MATHEMATICAL RIGHT FLATTENED PARENTHESIS
-  0x27F5: [511,12,1609,54,1525],     // LONG LEFTWARDS ARROW
-  0x27F6: [512,11,1638,83,1554],     // LONG RIGHTWARDS ARROW
-  0x27F7: [512,12,1859,54,1804],     // LONG LEFT RIGHT ARROW
-  0x27F8: [525,24,1609,55,1553],     // LONG LEFTWARDS DOUBLE ARROW
-  0x27F9: [525,25,1638,55,1582],     // LONG RIGHTWARDS DOUBLE ARROW
-  0x27FA: [525,24,1858,55,1802],     // LONG LEFT RIGHT DOUBLE ARROW
-  0x27FC: [512,11,1638,54,1554],     // LONG RIGHTWARDS ARROW FROM BAR
-  0x2A3F: [684,0,750,28,721],        // AMALGAMATION OR COPRODUCT
-  0x2AAF: [636,138,778,83,695],      // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN
+  0x27EE: [744,244,412,173,357],     // MATHEMATICAL LEFT FLATTENED PARENTHESIS
+  0x27EF: [744,244,412,56,240],      // MATHEMATICAL RIGHT FLATTENED PARENTHESIS
+  0x27F5: [511,11,1609,55,1525],     // LONG LEFTWARDS ARROW
+  0x27F6: [511,11,1638,84,1553],     // LONG RIGHTWARDS ARROW
+  0x27F7: [511,11,1859,55,1803],     // LONG LEFT RIGHT ARROW
+  0x27F8: [525,24,1609,56,1553],     // LONG LEFTWARDS DOUBLE ARROW
+  0x27F9: [525,24,1638,56,1582],     // LONG RIGHTWARDS DOUBLE ARROW
+  0x27FA: [525,24,1858,56,1802],     // LONG LEFT RIGHT DOUBLE ARROW
+  0x27FC: [511,11,1638,55,1553],     // LONG RIGHTWARDS ARROW FROM BAR
+  0x2A3F: [683,0,750,28,721],        // AMALGAMATION OR COPRODUCT
+  0x2AAF: [636,138,778,84,694],      // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN
   0x2AB0: [636,138,778,83,694]       // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN
 };
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
index 5e34497ae..f9e40afa1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,13 +21,13 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'],
   {
-    0x2660: [727,131,778,55,723],      // BLACK SPADE SUIT
+    0x2660: [727,130,778,55,723],      // BLACK SPADE SUIT
     0x2661: [716,33,778,55,723],       // WHITE HEART SUIT
-    0x2662: [727,163,778,55,723],      // WHITE DIAMOND SUIT
-    0x2663: [726,131,778,28,750],      // BLACK CLUB SUIT
-    0x266D: [751,22,389,54,333],       // MUSIC FLAT SIGN
+    0x2662: [727,162,778,55,723],      // WHITE DIAMOND SUIT
+    0x2663: [726,130,778,28,750],      // BLACK CLUB SUIT
+    0x266D: [750,22,389,55,332],       // MUSIC FLAT SIGN
     0x266E: [734,223,389,65,324],      // MUSIC NATURAL SIGN
-    0x266F: [723,223,389,54,334]       // MUSIC SHARP SIGN
+    0x266F: [723,223,389,55,333]       // MUSIC SHARP SIGN
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
index b1d1e2ca4..020168339 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
index f308c00e4..a70de864d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,7 +23,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-bold-italic'] = {
   family: 'MathJax_Math',
   weight: 'bold',
   style: 'italic',
-  testString: "MathJax Math",
+  testString: "MathJax Math \u03A5",
   skew: {
     0x41: 0.16,
     0x42: 0.0958,
@@ -104,100 +104,100 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-bold-italic'] = {
   },
   0x20: [0,0,250,0,0],               // SPACE
   0x2F: [711,210,894,160,733],       // SOLIDUS
-  0x41: [712,0,869,45,839],          // LATIN CAPITAL LETTER A
-  0x42: [687,0,866,43,853],          // LATIN CAPITAL LETTER B
-  0x43: [703,17,817,54,855],         // LATIN CAPITAL LETTER C
+  0x41: [711,0,869,45,839],          // LATIN CAPITAL LETTER A
+  0x42: [686,0,866,43,853],          // LATIN CAPITAL LETTER B
+  0x43: [703,17,817,55,855],         // LATIN CAPITAL LETTER C
   0x44: [686,0,938,43,914],          // LATIN CAPITAL LETTER D
-  0x45: [681,0,810,43,825],          // LATIN CAPITAL LETTER E
-  0x46: [681,0,689,43,810],          // LATIN CAPITAL LETTER F
+  0x45: [680,0,810,43,825],          // LATIN CAPITAL LETTER E
+  0x46: [680,0,689,43,809],          // LATIN CAPITAL LETTER F
   0x47: [703,16,887,56,854],         // LATIN CAPITAL LETTER G
   0x48: [686,0,982,43,1027],         // LATIN CAPITAL LETTER H
-  0x49: [686,0,511,30,574],          // LATIN CAPITAL LETTER I
+  0x49: [686,0,511,30,573],          // LATIN CAPITAL LETTER I
   0x4A: [686,17,631,42,694],         // LATIN CAPITAL LETTER J
   0x4B: [686,0,971,43,1003],         // LATIN CAPITAL LETTER K
   0x4C: [686,0,756,43,711],          // LATIN CAPITAL LETTER L
-  0x4D: [687,1,1142,43,1220],        // LATIN CAPITAL LETTER M
-  0x4E: [687,1,950,43,1028],         // LATIN CAPITAL LETTER N
+  0x4D: [686,0,1142,43,1219],        // LATIN CAPITAL LETTER M
+  0x4E: [686,0,950,43,1027],         // LATIN CAPITAL LETTER N
   0x4F: [703,17,837,53,815],         // LATIN CAPITAL LETTER O
-  0x50: [686,0,723,42,847],          // LATIN CAPITAL LETTER P
+  0x50: [686,0,723,43,847],          // LATIN CAPITAL LETTER P
   0x51: [703,194,869,53,815],        // LATIN CAPITAL LETTER Q
-  0x52: [687,17,872,43,881],         // LATIN CAPITAL LETTER R
-  0x53: [703,18,693,63,714],         // LATIN CAPITAL LETTER S
-  0x54: [675,1,637,22,773],          // LATIN CAPITAL LETTER T
-  0x55: [687,16,800,63,877],         // LATIN CAPITAL LETTER U
-  0x56: [686,17,678,62,886],         // LATIN CAPITAL LETTER V
-  0x57: [687,18,1093,60,1207],       // LATIN CAPITAL LETTER W
-  0x58: [686,1,947,38,953],          // LATIN CAPITAL LETTER X
-  0x59: [686,0,675,39,876],          // LATIN CAPITAL LETTER Y
-  0x5A: [686,1,773,68,805],          // LATIN CAPITAL LETTER Z
-  0x61: [452,8,633,37,607],          // LATIN SMALL LETTER A
-  0x62: [694,8,521,44,513],          // LATIN SMALL LETTER B
+  0x52: [686,17,872,43,881],         // LATIN CAPITAL LETTER R
+  0x53: [703,17,693,63,714],         // LATIN CAPITAL LETTER S
+  0x54: [675,0,637,22,772],          // LATIN CAPITAL LETTER T
+  0x55: [686,16,800,63,877],         // LATIN CAPITAL LETTER U
+  0x56: [686,16,678,62,886],         // LATIN CAPITAL LETTER V
+  0x57: [686,17,1093,61,1207],       // LATIN CAPITAL LETTER W
+  0x58: [686,0,947,38,953],          // LATIN CAPITAL LETTER X
+  0x59: [686,0,675,40,876],          // LATIN CAPITAL LETTER Y
+  0x5A: [686,0,773,68,805],          // LATIN CAPITAL LETTER Z
+  0x61: [452,8,633,38,607],          // LATIN SMALL LETTER A
+  0x62: [694,8,521,45,513],          // LATIN SMALL LETTER B
   0x63: [451,8,513,40,509],          // LATIN SMALL LETTER C
   0x64: [694,8,610,38,612],          // LATIN SMALL LETTER D
   0x65: [452,8,554,42,509],          // LATIN SMALL LETTER E
-  0x66: [701,201,568,64,625],        // LATIN SMALL LETTER F
+  0x66: [701,201,568,64,624],        // LATIN SMALL LETTER F
   0x67: [452,202,545,0,540],         // LATIN SMALL LETTER G
-  0x68: [694,8,668,44,642],          // LATIN SMALL LETTER H
+  0x68: [694,8,668,45,642],          // LATIN SMALL LETTER H
   0x69: [694,8,405,24,367],          // LATIN SMALL LETTER I
   0x6A: [694,202,471,-12,456],       // LATIN SMALL LETTER J
-  0x6B: [694,8,604,44,578],          // LATIN SMALL LETTER K
-  0x6C: [694,8,348,27,297],          // LATIN SMALL LETTER L
-  0x6D: [452,9,1032,24,1006],        // LATIN SMALL LETTER M
-  0x6E: [452,9,713,24,688],          // LATIN SMALL LETTER N
+  0x6B: [694,8,604,45,578],          // LATIN SMALL LETTER K
+  0x6C: [694,8,348,27,296],          // LATIN SMALL LETTER L
+  0x6D: [452,8,1032,24,1006],        // LATIN SMALL LETTER M
+  0x6E: [452,8,713,24,687],          // LATIN SMALL LETTER N
   0x6F: [452,8,585,39,576],          // LATIN SMALL LETTER O
   0x70: [452,194,601,-23,593],       // LATIN SMALL LETTER P
   0x71: [452,194,542,38,550],        // LATIN SMALL LETTER Q
   0x72: [452,8,529,24,500],          // LATIN SMALL LETTER R
-  0x73: [452,8,531,57,476],          // LATIN SMALL LETTER S
-  0x74: [644,7,415,21,387],          // LATIN SMALL LETTER T
+  0x73: [451,8,531,57,476],          // LATIN SMALL LETTER S
+  0x74: [643,7,415,21,387],          // LATIN SMALL LETTER T
   0x75: [452,8,681,24,655],          // LATIN SMALL LETTER U
   0x76: [453,8,567,24,540],          // LATIN SMALL LETTER V
-  0x77: [454,8,831,24,796],          // LATIN SMALL LETTER W
+  0x77: [453,8,831,24,796],          // LATIN SMALL LETTER W
   0x78: [452,8,659,43,599],          // LATIN SMALL LETTER X
   0x79: [452,202,590,24,587],        // LATIN SMALL LETTER Y
-  0x7A: [453,9,555,33,539],          // LATIN SMALL LETTER Z
+  0x7A: [452,8,555,34,539],          // LATIN SMALL LETTER Z
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x393: [680,0,657,43,777],         // GREEK CAPITAL LETTER GAMMA
-  0x394: [712,0,958,59,904],         // GREEK CAPITAL LETTER DELTA
+  0x394: [711,0,958,59,904],         // GREEK CAPITAL LETTER DELTA
   0x398: [702,17,867,54,844],        // GREEK CAPITAL LETTER THETA
-  0x39B: [712,1,806,43,776],         // GREEK CAPITAL LETTER LAMDA
-  0x39E: [676,0,841,62,868],         // GREEK CAPITAL LETTER XI
+  0x39B: [711,0,806,44,776],         // GREEK CAPITAL LETTER LAMDA
+  0x39E: [675,0,841,62,867],         // GREEK CAPITAL LETTER XI
   0x3A0: [680,0,982,43,1026],        // GREEK CAPITAL LETTER PI
   0x3A3: [686,0,885,69,902],         // GREEK CAPITAL LETTER SIGMA
-  0x3A5: [704,0,671,32,802],         // GREEK CAPITAL LETTER UPSILON
-  0x3A6: [687,0,767,29,737],         // GREEK CAPITAL LETTER PHI
-  0x3A8: [687,0,714,22,791],         // GREEK CAPITAL LETTER PSI
-  0x3A9: [703,1,879,93,886],         // GREEK CAPITAL LETTER OMEGA
+  0x3A5: [703,0,671,32,802],         // GREEK CAPITAL LETTER UPSILON
+  0x3A6: [686,0,767,29,737],         // GREEK CAPITAL LETTER PHI
+  0x3A8: [686,0,714,22,790],         // GREEK CAPITAL LETTER PSI
+  0x3A9: [703,0,879,93,886],         // GREEK CAPITAL LETTER OMEGA
   0x3B1: [452,8,761,39,712],         // GREEK SMALL LETTER ALPHA
-  0x3B2: [701,195,660,28,637],       // GREEK SMALL LETTER BETA
+  0x3B2: [701,194,660,28,637],       // GREEK SMALL LETTER BETA
   0x3B3: [451,211,590,5,617],        // GREEK SMALL LETTER GAMMA
   0x3B4: [725,8,522,39,513],         // GREEK SMALL LETTER DELTA
-  0x3B5: [461,17,529,35,481],        // GREEK SMALL LETTER EPSILON
+  0x3B5: [461,17,529,36,481],        // GREEK SMALL LETTER EPSILON
   0x3B6: [711,202,508,48,521],       // GREEK SMALL LETTER ZETA
-  0x3B7: [452,211,600,24,601],       // GREEK SMALL LETTER ETA
-  0x3B8: [702,8,562,39,554],         // GREEK SMALL LETTER THETA
-  0x3B9: [452,8,412,37,386],         // GREEK SMALL LETTER IOTA
+  0x3B7: [452,211,600,24,600],       // GREEK SMALL LETTER ETA
+  0x3B8: [702,8,562,40,554],         // GREEK SMALL LETTER THETA
+  0x3B9: [452,8,412,38,386],         // GREEK SMALL LETTER IOTA
   0x3BA: [452,8,668,45,642],         // GREEK SMALL LETTER KAPPA
   0x3BB: [694,13,671,40,652],        // GREEK SMALL LETTER LAMDA
   0x3BC: [452,211,708,33,682],       // GREEK SMALL LETTER MU
   0x3BD: [452,2,577,38,608],         // GREEK SMALL LETTER NU
-  0x3BE: [712,201,508,23,490],       // GREEK SMALL LETTER XI
+  0x3BE: [711,201,508,23,490],       // GREEK SMALL LETTER XI
   0x3BF: [452,8,585,39,576],         // GREEK SMALL LETTER OMICRON
-  0x3C0: [445,8,682,23,674],         // GREEK SMALL LETTER PI
+  0x3C0: [444,8,682,23,674],         // GREEK SMALL LETTER PI
   0x3C1: [451,211,612,34,603],       // GREEK SMALL LETTER RHO
-  0x3C2: [452,105,424,33,457],       // GREEK SMALL LETTER FINAL SIGMA
+  0x3C2: [451,105,424,33,457],       // GREEK SMALL LETTER FINAL SIGMA
   0x3C3: [444,8,686,35,677],         // GREEK SMALL LETTER SIGMA
   0x3C4: [444,13,521,23,610],        // GREEK SMALL LETTER TAU
-  0x3C5: [454,8,631,24,604],         // GREEK SMALL LETTER UPSILON
-  0x3C6: [452,216,747,52,703],       // GREEK SMALL LETTER PHI
-  0x3C7: [452,201,718,32,686],       // GREEK SMALL LETTER CHI
-  0x3C8: [694,203,758,24,732],       // GREEK SMALL LETTER PSI
+  0x3C5: [453,8,631,24,604],         // GREEK SMALL LETTER UPSILON
+  0x3C6: [452,216,747,53,703],       // GREEK SMALL LETTER PHI
+  0x3C7: [452,201,718,32,685],       // GREEK SMALL LETTER CHI
+  0x3C8: [694,202,758,24,732],       // GREEK SMALL LETTER PSI
   0x3C9: [453,8,718,24,691],         // GREEK SMALL LETTER OMEGA
-  0x3D1: [701,9,692,23,656],         // GREEK THETA SYMBOL
-  0x3D5: [695,203,712,51,693],       // GREEK PHI SYMBOL
-  0x3D6: [444,8,975,22,961],         // GREEK PI SYMBOL
-  0x3F1: [451,195,612,75,604],       // GREEK RHO SYMBOL
-  0x3F5: [445,7,483,43,450]          // GREEK LUNATE EPSILON SYMBOL
+  0x3D1: [701,8,692,24,656],         // GREEK THETA SYMBOL
+  0x3D5: [694,202,712,51,693],       // GREEK PHI SYMBOL
+  0x3D6: [444,8,975,23,961],         // GREEK PI SYMBOL
+  0x3F1: [451,194,612,75,603],       // GREEK RHO SYMBOL
+  0x3F5: [444,7,483,44,450]          // GREEK LUNATE EPSILON SYMBOL
 };
 
 MathJax.Callback.Queue(
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
index 122bc1644..d4ff83731 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-italic'] = {
   directory: 'Math/Italic',
   family: 'MathJax_Math',
   style: 'italic',
-  testString: "MathJax Math",
+  testString: "MathJax Math \u03A5",
   skew: {
     0x41: 0.139,
     0x42: 0.0833,
@@ -103,44 +103,44 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-italic'] = {
   },
   0x20: [0,0,250,0,0],               // SPACE
   0x2F: [716,215,778,139,638],       // SOLIDUS
-  0x41: [717,0,750,35,727],          // LATIN CAPITAL LETTER A
+  0x41: [716,0,750,35,726],          // LATIN CAPITAL LETTER A
   0x42: [683,0,759,35,756],          // LATIN CAPITAL LETTER B
   0x43: [705,22,715,50,760],         // LATIN CAPITAL LETTER C
-  0x44: [683,1,828,32,804],          // LATIN CAPITAL LETTER D
-  0x45: [680,1,738,30,764],          // LATIN CAPITAL LETTER E
-  0x46: [681,0,643,30,749],          // LATIN CAPITAL LETTER F
+  0x44: [683,0,828,33,803],          // LATIN CAPITAL LETTER D
+  0x45: [680,0,738,31,764],          // LATIN CAPITAL LETTER E
+  0x46: [680,0,643,31,749],          // LATIN CAPITAL LETTER F
   0x47: [705,22,786,50,760],         // LATIN CAPITAL LETTER G
-  0x48: [683,0,831,31,889],          // LATIN CAPITAL LETTER H
-  0x49: [684,0,440,26,504],          // LATIN CAPITAL LETTER I
+  0x48: [683,0,831,31,888],          // LATIN CAPITAL LETTER H
+  0x49: [683,0,440,26,504],          // LATIN CAPITAL LETTER I
   0x4A: [683,22,555,57,633],         // LATIN CAPITAL LETTER J
-  0x4B: [684,0,849,31,889],          // LATIN CAPITAL LETTER K
-  0x4C: [684,1,681,32,647],          // LATIN CAPITAL LETTER L
-  0x4D: [684,0,970,35,1051],         // LATIN CAPITAL LETTER M
-  0x4E: [684,0,803,31,888],          // LATIN CAPITAL LETTER N
+  0x4B: [683,0,849,31,889],          // LATIN CAPITAL LETTER K
+  0x4C: [683,0,681,32,647],          // LATIN CAPITAL LETTER L
+  0x4D: [683,0,970,35,1051],         // LATIN CAPITAL LETTER M
+  0x4E: [683,0,803,31,888],          // LATIN CAPITAL LETTER N
   0x4F: [704,22,763,50,740],         // LATIN CAPITAL LETTER O
   0x50: [683,0,642,33,751],          // LATIN CAPITAL LETTER P
-  0x51: [704,195,791,50,740],        // LATIN CAPITAL LETTER Q
-  0x52: [683,22,759,33,755],         // LATIN CAPITAL LETTER R
+  0x51: [704,194,791,50,740],        // LATIN CAPITAL LETTER Q
+  0x52: [683,21,759,33,755],         // LATIN CAPITAL LETTER R
   0x53: [705,22,613,52,645],         // LATIN CAPITAL LETTER S
-  0x54: [678,0,584,21,705],          // LATIN CAPITAL LETTER T
-  0x55: [684,22,683,59,767],         // LATIN CAPITAL LETTER U
-  0x56: [683,23,583,52,769],         // LATIN CAPITAL LETTER V
-  0x57: [684,22,944,51,1048],        // LATIN CAPITAL LETTER W
-  0x58: [684,1,828,25,852],          // LATIN CAPITAL LETTER X
-  0x59: [683,-1,581,29,763],         // LATIN CAPITAL LETTER Y
-  0x5A: [684,1,683,58,724],          // LATIN CAPITAL LETTER Z
+  0x54: [677,0,584,21,704],          // LATIN CAPITAL LETTER T
+  0x55: [683,22,683,60,767],         // LATIN CAPITAL LETTER U
+  0x56: [683,22,583,52,769],         // LATIN CAPITAL LETTER V
+  0x57: [683,22,944,51,1048],        // LATIN CAPITAL LETTER W
+  0x58: [683,0,828,26,852],          // LATIN CAPITAL LETTER X
+  0x59: [683,-1,581,30,763],         // LATIN CAPITAL LETTER Y
+  0x5A: [683,0,683,58,723],          // LATIN CAPITAL LETTER Z
   0x61: [441,10,529,33,506],         // LATIN SMALL LETTER A
-  0x62: [694,11,429,39,422],         // LATIN SMALL LETTER B
+  0x62: [694,11,429,40,422],         // LATIN SMALL LETTER B
   0x63: [442,11,433,34,429],         // LATIN SMALL LETTER C
-  0x64: [694,10,520,33,524],         // LATIN SMALL LETTER D
+  0x64: [694,10,520,33,523],         // LATIN SMALL LETTER D
   0x65: [442,11,466,39,429],         // LATIN SMALL LETTER E
   0x66: [705,205,490,55,550],        // LATIN SMALL LETTER F
-  0x67: [443,205,477,10,480],        // LATIN SMALL LETTER G
+  0x67: [442,205,477,10,480],        // LATIN SMALL LETTER G
   0x68: [694,11,576,48,555],         // LATIN SMALL LETTER H
-  0x69: [661,11,345,21,303],         // LATIN SMALL LETTER I
+  0x69: [661,11,345,21,302],         // LATIN SMALL LETTER I
   0x6A: [661,204,412,-12,403],       // LATIN SMALL LETTER J
   0x6B: [694,11,521,48,503],         // LATIN SMALL LETTER K
-  0x6C: [694,11,298,38,267],         // LATIN SMALL LETTER L
+  0x6C: [694,11,298,38,266],         // LATIN SMALL LETTER L
   0x6D: [442,11,878,21,857],         // LATIN SMALL LETTER M
   0x6E: [442,11,600,21,580],         // LATIN SMALL LETTER N
   0x6F: [441,11,485,34,476],         // LATIN SMALL LETTER O
@@ -151,52 +151,52 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-italic'] = {
   0x74: [626,11,361,19,330],         // LATIN SMALL LETTER T
   0x75: [442,11,572,21,551],         // LATIN SMALL LETTER U
   0x76: [443,11,485,21,467],         // LATIN SMALL LETTER V
-  0x77: [444,11,716,20,690],         // LATIN SMALL LETTER W
-  0x78: [443,11,572,35,523],         // LATIN SMALL LETTER X
+  0x77: [443,11,716,21,690],         // LATIN SMALL LETTER W
+  0x78: [442,11,572,35,522],         // LATIN SMALL LETTER X
   0x79: [442,205,490,21,496],        // LATIN SMALL LETTER Y
-  0x7A: [442,12,465,35,468],         // LATIN SMALL LETTER Z
+  0x7A: [442,11,465,35,468],         // LATIN SMALL LETTER Z
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x393: [680,-1,615,31,721],        // GREEK CAPITAL LETTER GAMMA
-  0x394: [716,1,833,48,788],         // GREEK CAPITAL LETTER DELTA
+  0x394: [716,0,833,48,788],         // GREEK CAPITAL LETTER DELTA
   0x398: [704,22,763,50,740],        // GREEK CAPITAL LETTER THETA
-  0x39B: [717,0,694,35,671],         // GREEK CAPITAL LETTER LAMDA
-  0x39E: [678,1,742,53,777],         // GREEK CAPITAL LETTER XI
-  0x3A0: [681,0,831,31,888],         // GREEK CAPITAL LETTER PI
+  0x39B: [716,0,694,35,670],         // GREEK CAPITAL LETTER LAMDA
+  0x39E: [677,0,742,53,777],         // GREEK CAPITAL LETTER XI
+  0x3A0: [680,0,831,31,887],         // GREEK CAPITAL LETTER PI
   0x3A3: [683,0,780,58,806],         // GREEK CAPITAL LETTER SIGMA
-  0x3A5: [706,0,583,28,701],         // GREEK CAPITAL LETTER UPSILON
-  0x3A6: [683,0,667,24,643],         // GREEK CAPITAL LETTER PHI
-  0x3A8: [684,0,612,21,693],         // GREEK CAPITAL LETTER PSI
+  0x3A5: [705,0,583,28,700],         // GREEK CAPITAL LETTER UPSILON
+  0x3A6: [683,0,667,24,642],         // GREEK CAPITAL LETTER PHI
+  0x3A8: [683,0,612,21,692],         // GREEK CAPITAL LETTER PSI
   0x3A9: [704,0,772,80,786],         // GREEK CAPITAL LETTER OMEGA
   0x3B1: [442,11,640,34,603],        // GREEK SMALL LETTER ALPHA
-  0x3B2: [706,194,566,23,573],       // GREEK SMALL LETTER BETA
+  0x3B2: [705,194,566,23,573],       // GREEK SMALL LETTER BETA
   0x3B3: [441,216,518,11,543],       // GREEK SMALL LETTER GAMMA
   0x3B4: [717,10,444,36,451],        // GREEK SMALL LETTER DELTA
-  0x3B5: [453,22,466,27,428],        // GREEK SMALL LETTER EPSILON
-  0x3B6: [704,204,438,44,472],       // GREEK SMALL LETTER ZETA
-  0x3B7: [442,216,497,21,504],       // GREEK SMALL LETTER ETA
+  0x3B5: [452,22,466,27,428],        // GREEK SMALL LETTER EPSILON
+  0x3B6: [704,204,438,44,471],       // GREEK SMALL LETTER ZETA
+  0x3B7: [442,216,497,21,503],       // GREEK SMALL LETTER ETA
   0x3B8: [705,10,469,35,462],        // GREEK SMALL LETTER THETA
   0x3B9: [442,10,354,48,332],        // GREEK SMALL LETTER IOTA
   0x3BA: [442,11,576,49,554],        // GREEK SMALL LETTER KAPPA
-  0x3BB: [694,12,583,46,556],        // GREEK SMALL LETTER LAMDA
-  0x3BC: [443,216,603,22,580],       // GREEK SMALL LETTER MU
+  0x3BB: [694,12,583,47,556],        // GREEK SMALL LETTER LAMDA
+  0x3BC: [442,216,603,23,580],       // GREEK SMALL LETTER MU
   0x3BD: [442,2,494,45,530],         // GREEK SMALL LETTER NU
   0x3BE: [704,205,438,21,443],       // GREEK SMALL LETTER XI
   0x3BF: [441,11,485,34,476],        // GREEK SMALL LETTER OMICRON
   0x3C0: [431,11,570,19,573],        // GREEK SMALL LETTER PI
-  0x3C1: [442,216,517,22,510],       // GREEK SMALL LETTER RHO
-  0x3C2: [442,108,363,31,405],       // GREEK SMALL LETTER FINAL SIGMA
+  0x3C1: [442,216,517,23,510],       // GREEK SMALL LETTER RHO
+  0x3C2: [442,107,363,31,405],       // GREEK SMALL LETTER FINAL SIGMA
   0x3C3: [431,11,571,31,572],        // GREEK SMALL LETTER SIGMA
-  0x3C4: [431,13,437,17,517],        // GREEK SMALL LETTER TAU
+  0x3C4: [431,13,437,18,517],        // GREEK SMALL LETTER TAU
   0x3C5: [443,10,540,21,523],        // GREEK SMALL LETTER UPSILON
-  0x3C6: [442,219,654,50,618],       // GREEK SMALL LETTER PHI
-  0x3C7: [442,204,626,24,601],       // GREEK SMALL LETTER CHI
+  0x3C6: [442,218,654,50,618],       // GREEK SMALL LETTER PHI
+  0x3C7: [442,204,626,25,600],       // GREEK SMALL LETTER CHI
   0x3C8: [694,205,651,21,634],       // GREEK SMALL LETTER PSI
-  0x3C9: [444,11,622,15,604],        // GREEK SMALL LETTER OMEGA
+  0x3C9: [443,11,622,15,604],        // GREEK SMALL LETTER OMEGA
   0x3D1: [705,11,591,21,563],        // GREEK THETA SYMBOL
-  0x3D5: [695,206,596,43,579],       // GREEK PHI SYMBOL
+  0x3D5: [694,205,596,43,579],       // GREEK PHI SYMBOL
   0x3D6: [431,10,828,19,823],        // GREEK PI SYMBOL
   0x3F1: [442,194,517,67,510],       // GREEK RHO SYMBOL
-  0x3F5: [432,11,406,39,383]         // GREEK LUNATE EPSILON SYMBOL
+  0x3F5: [431,11,406,40,382]         // GREEK LUNATE EPSILON SYMBOL
 };
 
 MathJax.Callback.Queue(
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
index b705914b9..8d51609cf 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,93 +22,93 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'],
   {
     0x20: [0,0,250,0,0],               // SPACE
-    0x21: [695,0,367,109,257],         // EXCLAMATION MARK
-    0x22: [694,-441,558,37,420],       // QUOTATION MARK
+    0x21: [694,0,367,110,256],         // EXCLAMATION MARK
+    0x22: [694,-442,558,37,420],       // QUOTATION MARK
     0x23: [694,193,917,61,855],        // NUMBER SIGN
-    0x24: [750,57,550,49,488],         // DOLLAR SIGN
-    0x25: [750,57,1029,61,967],        // PERCENT SIGN
+    0x24: [750,56,550,49,488],         // DOLLAR SIGN
+    0x25: [750,56,1029,61,966],        // PERCENT SIGN
     0x26: [716,22,831,47,769],         // AMPERSAND
-    0x27: [694,-441,306,80,226],       // APOSTROPHE
+    0x27: [694,-442,306,80,226],       // APOSTROPHE
     0x28: [750,249,428,79,366],        // LEFT PARENTHESIS
-    0x29: [751,251,428,61,348],        // RIGHT PARENTHESIS
+    0x29: [750,250,428,61,348],        // RIGHT PARENTHESIS
     0x2A: [750,-293,550,67,482],       // ASTERISK
     0x2B: [617,116,856,61,794],        // PLUS SIGN
-    0x2C: [146,107,306,80,226],        // COMMA
-    0x2D: [274,-185,367,12,305],       // HYPHEN-MINUS
+    0x2C: [146,106,306,80,226],        // COMMA
+    0x2D: [273,-186,367,12,305],       // HYPHEN-MINUS
     0x2E: [146,0,306,80,226],          // FULL STOP
-    0x2F: [750,249,550,61,489],        // SOLIDUS
-    0x30: [715,22,550,42,506],         // DIGIT ZERO
+    0x2F: [750,249,550,61,488],        // SOLIDUS
+    0x30: [715,22,550,43,506],         // DIGIT ZERO
     0x31: [716,-1,550,76,473],         // DIGIT ONE
     0x32: [716,0,550,46,495],          // DIGIT TWO
     0x33: [716,22,550,46,503],         // DIGIT THREE
-    0x34: [695,1,550,30,519],          // DIGIT FOUR
+    0x34: [694,0,550,31,518],          // DIGIT FOUR
     0x35: [694,22,550,37,494],         // DIGIT FIVE
     0x36: [716,22,550,46,503],         // DIGIT SIX
-    0x37: [696,12,550,45,504],         // DIGIT SEVEN
-    0x38: [716,22,550,46,503],         // DIGIT EIGHT
+    0x37: [695,11,550,46,503],         // DIGIT SEVEN
+    0x38: [715,22,550,46,503],         // DIGIT EIGHT
     0x39: [716,22,550,46,503],         // DIGIT NINE
     0x3A: [458,0,306,80,226],          // COLON
-    0x3B: [458,107,306,80,226],        // SEMICOLON
+    0x3B: [458,106,306,80,226],        // SEMICOLON
     0x3D: [407,-94,856,61,794],        // EQUALS SIGN
-    0x3F: [706,0,519,61,457],          // QUESTION MARK
+    0x3F: [705,0,519,61,457],          // QUESTION MARK
     0x40: [704,11,733,61,671],         // COMMERCIAL AT
-    0x41: [695,1,733,42,691],          // LATIN CAPITAL LETTER A
-    0x42: [695,-1,733,92,671],         // LATIN CAPITAL LETTER B
+    0x41: [694,0,733,42,690],          // LATIN CAPITAL LETTER A
+    0x42: [694,-1,733,92,671],         // LATIN CAPITAL LETTER B
     0x43: [704,11,703,61,647],         // LATIN CAPITAL LETTER C
-    0x44: [695,0,794,91,732],          // LATIN CAPITAL LETTER D
-    0x45: [692,0,642,92,596],          // LATIN CAPITAL LETTER E
-    0x46: [692,1,611,92,565],          // LATIN CAPITAL LETTER F
+    0x44: [694,-1,794,92,732],         // LATIN CAPITAL LETTER D
+    0x45: [691,0,642,92,595],          // LATIN CAPITAL LETTER E
+    0x46: [691,0,611,92,564],          // LATIN CAPITAL LETTER F
     0x47: [705,11,733,61,659],         // LATIN CAPITAL LETTER G
-    0x48: [695,1,794,92,702],          // LATIN CAPITAL LETTER H
-    0x49: [695,1,331,85,246],          // LATIN CAPITAL LETTER I
-    0x4A: [695,22,519,46,427],         // LATIN CAPITAL LETTER J
-    0x4B: [695,1,764,92,701],          // LATIN CAPITAL LETTER K
-    0x4C: [695,0,581,92,535],          // LATIN CAPITAL LETTER L
-    0x4D: [695,1,978,92,886],          // LATIN CAPITAL LETTER M
-    0x4E: [695,1,794,92,702],          // LATIN CAPITAL LETTER N
+    0x48: [694,0,794,92,702],          // LATIN CAPITAL LETTER H
+    0x49: [694,0,331,85,246],          // LATIN CAPITAL LETTER I
+    0x4A: [694,22,519,46,427],         // LATIN CAPITAL LETTER J
+    0x4B: [694,0,764,92,701],          // LATIN CAPITAL LETTER K
+    0x4C: [694,0,581,92,534],          // LATIN CAPITAL LETTER L
+    0x4D: [694,0,978,92,886],          // LATIN CAPITAL LETTER M
+    0x4E: [694,0,794,92,702],          // LATIN CAPITAL LETTER N
     0x4F: [716,22,794,62,731],         // LATIN CAPITAL LETTER O
     0x50: [694,0,703,92,641],          // LATIN CAPITAL LETTER P
     0x51: [716,106,794,62,732],        // LATIN CAPITAL LETTER Q
-    0x52: [695,1,703,92,654],          // LATIN CAPITAL LETTER R
+    0x52: [694,0,703,92,654],          // LATIN CAPITAL LETTER R
     0x53: [716,22,611,49,549],         // LATIN CAPITAL LETTER S
-    0x54: [689,1,733,40,693],          // LATIN CAPITAL LETTER T
-    0x55: [695,22,764,92,672],         // LATIN CAPITAL LETTER U
-    0x56: [695,-1,733,27,705],         // LATIN CAPITAL LETTER V
-    0x57: [695,1,1039,23,1014],        // LATIN CAPITAL LETTER W
-    0x58: [695,0,733,37,694],          // LATIN CAPITAL LETTER X
-    0x59: [695,1,733,23,708],          // LATIN CAPITAL LETTER Y
-    0x5A: [694,0,672,61,617],          // LATIN CAPITAL LETTER Z
-    0x5B: [751,251,343,78,318],        // LEFT SQUARE BRACKET
-    0x5D: [751,251,343,24,263],        // RIGHT SQUARE BRACKET
+    0x54: [688,0,733,40,692],          // LATIN CAPITAL LETTER T
+    0x55: [694,22,764,92,672],         // LATIN CAPITAL LETTER U
+    0x56: [694,-1,733,27,705],         // LATIN CAPITAL LETTER V
+    0x57: [694,0,1039,24,1014],        // LATIN CAPITAL LETTER W
+    0x58: [694,0,733,37,694],          // LATIN CAPITAL LETTER X
+    0x59: [694,0,733,24,708],          // LATIN CAPITAL LETTER Y
+    0x5A: [694,0,672,61,616],          // LATIN CAPITAL LETTER Z
+    0x5B: [750,250,343,79,318],        // LEFT SQUARE BRACKET
+    0x5D: [750,250,343,24,263],        // RIGHT SQUARE BRACKET
     0x5E: [694,-537,550,108,441],      // CIRCUMFLEX ACCENT
     0x5F: [-23,110,550,0,549],         // LOW LINE
-    0x61: [475,11,525,31,474],         // LATIN SMALL LETTER A
-    0x62: [695,11,561,54,523],         // LATIN SMALL LETTER B
+    0x61: [475,11,525,31,472],         // LATIN SMALL LETTER A
+    0x62: [694,10,561,54,523],         // LATIN SMALL LETTER B
     0x63: [475,11,489,37,457],         // LATIN SMALL LETTER C
-    0x64: [695,11,561,37,507],         // LATIN SMALL LETTER D
-    0x65: [475,10,511,30,480],         // LATIN SMALL LETTER E
-    0x66: [705,1,336,28,382],          // LATIN SMALL LETTER F
-    0x67: [469,207,550,17,534],        // LATIN SMALL LETTER G
-    0x68: [695,1,561,53,509],          // LATIN SMALL LETTER H
-    0x69: [695,1,256,45,208],          // LATIN SMALL LETTER I
-    0x6A: [696,205,286,-71,233],       // LATIN SMALL LETTER J
-    0x6B: [695,1,531,63,496],          // LATIN SMALL LETTER K
-    0x6C: [695,1,256,54,201],          // LATIN SMALL LETTER L
-    0x6D: [469,1,867,53,816],          // LATIN SMALL LETTER M
-    0x6E: [468,1,561,53,509],          // LATIN SMALL LETTER N
-    0x6F: [475,11,550,32,518],         // LATIN SMALL LETTER O
-    0x70: [470,194,561,54,523],        // LATIN SMALL LETTER P
-    0x71: [470,195,561,37,507],        // LATIN SMALL LETTER Q
+    0x64: [694,11,561,37,507],         // LATIN SMALL LETTER D
+    0x65: [474,10,511,30,480],         // LATIN SMALL LETTER E
+    0x66: [705,0,336,29,381],          // LATIN SMALL LETTER F
+    0x67: [469,206,550,17,534],        // LATIN SMALL LETTER G
+    0x68: [694,0,561,53,508],          // LATIN SMALL LETTER H
+    0x69: [695,0,256,46,208],          // LATIN SMALL LETTER I
+    0x6A: [695,205,286,-71,232],       // LATIN SMALL LETTER J
+    0x6B: [694,0,531,63,496],          // LATIN SMALL LETTER K
+    0x6C: [694,0,256,54,201],          // LATIN SMALL LETTER L
+    0x6D: [469,0,867,53,815],          // LATIN SMALL LETTER M
+    0x6E: [468,0,561,53,508],          // LATIN SMALL LETTER N
+    0x6F: [474,11,550,32,518],         // LATIN SMALL LETTER O
+    0x70: [469,194,561,54,523],        // LATIN SMALL LETTER P
+    0x71: [469,194,561,37,507],        // LATIN SMALL LETTER Q
     0x72: [469,0,372,54,356],          // LATIN SMALL LETTER R
     0x73: [474,10,422,30,396],         // LATIN SMALL LETTER S
-    0x74: [590,10,404,20,374],         // LATIN SMALL LETTER T
-    0x75: [459,11,561,52,509],         // LATIN SMALL LETTER U
-    0x76: [459,0,500,26,473],          // LATIN SMALL LETTER V
-    0x77: [459,1,744,23,719],          // LATIN SMALL LETTER W
-    0x78: [459,1,500,23,475],          // LATIN SMALL LETTER X
-    0x79: [459,205,500,28,473],        // LATIN SMALL LETTER Y
-    0x7A: [458,1,476,31,443],          // LATIN SMALL LETTER Z
-    0x7E: [344,-197,550,92,457]        // TILDE
+    0x74: [589,10,404,20,373],         // LATIN SMALL LETTER T
+    0x75: [458,11,561,52,508],         // LATIN SMALL LETTER U
+    0x76: [458,0,500,26,473],          // LATIN SMALL LETTER V
+    0x77: [458,0,744,24,719],          // LATIN SMALL LETTER W
+    0x78: [458,0,500,24,475],          // LATIN SMALL LETTER X
+    0x79: [458,205,500,29,473],        // LATIN SMALL LETTER Y
+    0x7A: [458,0,476,31,442],          // LATIN SMALL LETTER Z
+    0x7E: [344,-198,550,92,457]        // TILDE
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
index b340624d2..100871fa9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,17 +21,17 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'],
   {
-    0x300: [695,-537,0,-458,-218],     // COMBINING GRAVE ACCENT
-    0x301: [694,-536,0,-334,-93],      // COMBINING ACUTE ACCENT
+    0x300: [694,-537,0,-458,-218],     // COMBINING GRAVE ACCENT
+    0x301: [694,-537,0,-334,-93],      // COMBINING ACUTE ACCENT
     0x302: [694,-537,0,-442,-109],     // COMBINING CIRCUMFLEX ACCENT
-    0x303: [694,-547,0,-458,-93],      // COMBINING TILDE
+    0x303: [694,-548,0,-458,-93],      // COMBINING TILDE
     0x304: [660,-560,0,-474,-77],      // COMBINING MACRON
-    0x306: [695,-552,0,-470,-80],      // COMBINING BREVE
-    0x307: [695,-596,0,-357,-194],     // COMBINING DOT ABOVE
-    0x308: [696,-594,0,-459,-90],      // COMBINING DIAERESIS
-    0x30A: [694,-537,0,-365,-118],     // COMBINING RING ABOVE
-    0x30B: [695,-536,0,-440,-93],      // COMBINING DOUBLE ACUTE ACCENT
-    0x30C: [658,-500,0,-442,-109]      // COMBINING CARON
+    0x306: [694,-552,0,-470,-80],      // COMBINING BREVE
+    0x307: [695,-596,0,-356,-194],     // COMBINING DOT ABOVE
+    0x308: [695,-595,0,-459,-91],      // COMBINING DIAERESIS
+    0x30A: [694,-538,0,-365,-119],     // COMBINING RING ABOVE
+    0x30B: [694,-537,0,-440,-94],      // COMBINING DOUBLE ACUTE ACCENT
+    0x30C: [657,-500,0,-442,-109]      // COMBINING CARON
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
index 8509711b2..b47574e71 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'] = {
   directory: 'SansSerif/Bold',
   family: 'MathJax_SansSerif',
   weight: 'bold',
-  testString: "MathJax SansSerif",
+  testString: "MathJax SansSerif ^ _",
   Ranges: [
     [0x0,0x7F,"BasicLatin"],
     [0x80,0xFFFF,"Other"],
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
index baa9c3d33..e139fabda 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,25 +22,25 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'],
   {
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
-    0x131: [459,1,256,54,201],         // LATIN SMALL LETTER DOTLESS I
-    0x237: [459,205,286,-71,232],      // LATIN SMALL LETTER DOTLESS J
-    0x393: [692,1,581,92,535],         // GREEK CAPITAL LETTER GAMMA
-    0x394: [695,0,917,60,856],         // GREEK CAPITAL LETTER DELTA
+    0x131: [458,0,256,54,201],         // LATIN SMALL LETTER DOTLESS I
+    0x237: [458,205,286,-71,232],      // LATIN SMALL LETTER DOTLESS J
+    0x393: [691,0,581,92,534],         // GREEK CAPITAL LETTER GAMMA
+    0x394: [694,0,917,60,856],         // GREEK CAPITAL LETTER DELTA
     0x398: [716,22,856,62,793],        // GREEK CAPITAL LETTER THETA
-    0x39B: [695,1,672,41,630],         // GREEK CAPITAL LETTER LAMDA
-    0x39E: [688,1,733,45,687],         // GREEK CAPITAL LETTER XI
-    0x3A0: [691,1,794,92,702],         // GREEK CAPITAL LETTER PI
-    0x3A3: [695,0,794,61,733],         // GREEK CAPITAL LETTER SIGMA
-    0x3A5: [716,1,856,61,794],         // GREEK CAPITAL LETTER UPSILON
-    0x3A6: [695,0,794,62,732],         // GREEK CAPITAL LETTER PHI
-    0x3A8: [695,0,856,61,794],         // GREEK CAPITAL LETTER PSI
-    0x3A9: [716,1,794,48,745],         // GREEK CAPITAL LETTER OMEGA
+    0x39B: [694,0,672,41,630],         // GREEK CAPITAL LETTER LAMDA
+    0x39E: [688,0,733,46,686],         // GREEK CAPITAL LETTER XI
+    0x3A0: [691,0,794,92,702],         // GREEK CAPITAL LETTER PI
+    0x3A3: [694,0,794,61,732],         // GREEK CAPITAL LETTER SIGMA
+    0x3A5: [715,0,856,62,793],         // GREEK CAPITAL LETTER UPSILON
+    0x3A6: [694,0,794,62,732],         // GREEK CAPITAL LETTER PHI
+    0x3A8: [694,0,856,61,794],         // GREEK CAPITAL LETTER PSI
+    0x3A9: [716,0,794,49,744],         // GREEK CAPITAL LETTER OMEGA
     0x2013: [327,-240,550,0,549],      // EN DASH
     0x2014: [327,-240,1100,0,1099],    // EM DASH
-    0x2018: [695,-443,306,81,226],     // LEFT SINGLE QUOTATION MARK
-    0x2019: [694,-441,306,80,226],     // RIGHT SINGLE QUOTATION MARK
-    0x201C: [695,-443,558,138,521],    // LEFT DOUBLE QUOTATION MARK
-    0x201D: [694,-441,558,37,420]      // RIGHT DOUBLE QUOTATION MARK
+    0x2018: [694,-443,306,81,226],     // LEFT SINGLE QUOTATION MARK
+    0x2019: [694,-442,306,80,226],     // RIGHT SINGLE QUOTATION MARK
+    0x201C: [694,-443,558,138,520],    // LEFT DOUBLE QUOTATION MARK
+    0x201D: [694,-442,558,37,420]      // RIGHT DOUBLE QUOTATION MARK
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
index bd65dca2c..5c9e3ddbc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -31,15 +31,15 @@ MathJax.Hub.Insert(
     0x27: [694,-471,278,190,335],      // APOSTROPHE
     0x28: [750,250,389,104,491],       // LEFT PARENTHESIS
     0x29: [750,250,389,2,390],         // RIGHT PARENTHESIS
-    0x2A: [750,-305,500,156,569],      // ASTERISK
+    0x2A: [750,-306,500,156,568],      // ASTERISK
     0x2B: [583,83,778,108,775],        // PLUS SIGN
     0x2C: [98,125,278,63,209],         // COMMA
     0x2D: [259,-186,333,51,332],       // HYPHEN-MINUS
     0x2E: [98,0,278,90,209],           // FULL STOP
     0x2F: [750,250,500,6,600],         // SOLIDUS
-    0x30: [678,23,500,88,549],         // DIGIT ZERO
+    0x30: [678,22,500,88,549],         // DIGIT ZERO
     0x31: [678,0,500,88,451],          // DIGIT ONE
-    0x32: [679,0,500,50,552],          // DIGIT TWO
+    0x32: [678,0,500,50,551],          // DIGIT TWO
     0x33: [678,22,500,56,544],         // DIGIT THREE
     0x34: [656,0,500,62,521],          // DIGIT FOUR
     0x35: [656,22,500,50,555],         // DIGIT FIVE
@@ -49,7 +49,7 @@ MathJax.Hub.Insert(
     0x39: [677,22,500,77,545],         // DIGIT NINE
     0x3A: [444,0,278,90,282],          // COLON
     0x3B: [444,125,278,63,282],        // SEMICOLON
-    0x3D: [370,-130,778,87,796],       // EQUALS SIGN
+    0x3D: [370,-130,778,88,796],       // EQUALS SIGN
     0x3F: [704,0,472,173,536],         // QUESTION MARK
     0x40: [705,10,667,120,707],        // COMMERCIAL AT
     0x41: [694,0,667,28,638],          // LATIN CAPITAL LETTER A
@@ -69,12 +69,12 @@ MathJax.Hub.Insert(
     0x4F: [716,22,736,118,763],        // LATIN CAPITAL LETTER O
     0x50: [694,0,639,88,690],          // LATIN CAPITAL LETTER P
     0x51: [716,125,736,118,763],       // LATIN CAPITAL LETTER Q
-    0x52: [694,0,646,88,699],          // LATIN CAPITAL LETTER R
+    0x52: [694,0,646,88,698],          // LATIN CAPITAL LETTER R
     0x53: [716,22,556,54,609],         // LATIN CAPITAL LETTER S
     0x54: [688,0,681,165,790],         // LATIN CAPITAL LETTER T
-    0x55: [694,22,688,130,747],        // LATIN CAPITAL LETTER U
+    0x55: [694,22,688,131,747],        // LATIN CAPITAL LETTER U
     0x56: [694,0,667,161,799],         // LATIN CAPITAL LETTER V
-    0x57: [694,0,944,160,1076],        // LATIN CAPITAL LETTER W
+    0x57: [694,0,944,161,1076],        // LATIN CAPITAL LETTER W
     0x58: [694,0,667,14,758],          // LATIN CAPITAL LETTER X
     0x59: [694,0,667,151,810],         // LATIN CAPITAL LETTER Y
     0x5A: [694,0,611,55,702],          // LATIN CAPITAL LETTER Z
@@ -82,10 +82,10 @@ MathJax.Hub.Insert(
     0x5D: [750,250,289,-31,353],       // RIGHT SQUARE BRACKET
     0x5E: [694,-527,500,190,533],      // CIRCUMFLEX ACCENT
     0x5F: [-38,114,500,50,565],        // LOW LINE
-    0x61: [461,11,481,61,474],         // LATIN SMALL LETTER A
+    0x61: [461,10,481,61,473],         // LATIN SMALL LETTER A
     0x62: [694,11,517,75,539],         // LATIN SMALL LETTER B
-    0x63: [461,11,444,75,499],         // LATIN SMALL LETTER C
-    0x64: [694,11,517,73,588],         // LATIN SMALL LETTER D
+    0x63: [460,11,444,75,499],         // LATIN SMALL LETTER C
+    0x64: [694,10,517,73,588],         // LATIN SMALL LETTER D
     0x65: [460,11,444,71,472],         // LATIN SMALL LETTER E
     0x66: [705,0,306,94,494],          // LATIN SMALL LETTER F
     0x67: [455,206,500,12,568],        // LATIN SMALL LETTER G
@@ -102,7 +102,7 @@ MathJax.Hub.Insert(
     0x72: [455,0,342,74,424],          // LATIN SMALL LETTER R
     0x73: [461,11,383,35,436],         // LATIN SMALL LETTER S
     0x74: [571,11,361,97,410],         // LATIN SMALL LETTER T
-    0x75: [444,11,517,90,537],         // LATIN SMALL LETTER U
+    0x75: [444,10,517,90,537],         // LATIN SMALL LETTER U
     0x76: [444,0,461,108,540],         // LATIN SMALL LETTER V
     0x77: [444,0,683,108,762],         // LATIN SMALL LETTER W
     0x78: [444,0,461,1,537],           // LATIN SMALL LETTER X
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
index 9fcc5d449..04ba86fb8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -29,7 +29,7 @@ MathJax.Hub.Insert(
     0x306: [694,-508,0,-284,73],       // COMBINING BREVE
     0x307: [680,-576,0,-180,-54],      // COMBINING DOT ABOVE
     0x308: [680,-582,0,-273,40],       // COMBINING DIAERESIS
-    0x30A: [694,-527,0,-227,-2],       // COMBINING RING ABOVE
+    0x30A: [693,-527,0,-227,-2],       // COMBINING RING ABOVE
     0x30B: [694,-527,0,-287,63],       // COMBINING DOUBLE ACUTE ACCENT
     0x30C: [654,-487,0,-283,60]        // COMBINING CARON
   }
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
index 13426aca3..d2630776c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-italic'] = {
   directory: 'SansSerif/Italic',
   family: 'MathJax_SansSerif',
   style: 'italic',
-  testString: "MathJax SansSerif",
+  testString: "MathJax SansSerif ^ _",
   Ranges: [
     [0x0,0x7F,"BasicLatin"],
     [0x80,0xFFFF,"Other"],
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
index 1f6d214fd..93e9a3cf7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
index 929a9fc59..31828ac93 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,44 +24,44 @@ MathJax.Hub.Insert(
     0x20: [0,0,250,0,0],               // SPACE
     0x21: [694,0,319,110,208],         // EXCLAMATION MARK
     0x22: [694,-471,500,32,325],       // QUOTATION MARK
-    0x23: [694,194,833,55,777],        // NUMBER SIGN
+    0x23: [694,194,833,56,777],        // NUMBER SIGN
     0x24: [750,56,500,44,444],         // DOLLAR SIGN
     0x25: [750,56,833,56,776],         // PERCENT SIGN
-    0x26: [716,23,758,42,703],         // AMPERSAND
+    0x26: [716,22,758,42,702],         // AMPERSAND
     0x27: [694,-471,278,89,188],       // APOSTROPHE
     0x28: [750,250,389,74,333],        // LEFT PARENTHESIS
     0x29: [750,250,389,55,314],        // RIGHT PARENTHESIS
     0x2A: [750,-306,500,63,436],       // ASTERISK
-    0x2B: [583,83,778,55,722],         // PLUS SIGN
+    0x2B: [583,82,778,56,722],         // PLUS SIGN
     0x2C: [98,125,278,89,188],         // COMMA
     0x2D: [259,-186,333,11,277],       // HYPHEN-MINUS
     0x2E: [98,0,278,90,188],           // FULL STOP
-    0x2F: [751,250,500,56,445],        // SOLIDUS
+    0x2F: [750,250,500,56,445],        // SOLIDUS
     0x30: [678,22,500,39,460],         // DIGIT ZERO
     0x31: [678,0,500,83,430],          // DIGIT ONE
-    0x32: [677,0,500,42,450],          // DIGIT TWO
+    0x32: [677,0,500,42,449],          // DIGIT TWO
     0x33: [678,22,500,42,457],         // DIGIT THREE
     0x34: [656,0,500,28,471],          // DIGIT FOUR
-    0x35: [656,22,500,33,449],         // DIGIT FIVE
-    0x36: [678,22,500,42,457],         // DIGIT SIX
+    0x35: [656,21,500,33,449],         // DIGIT FIVE
+    0x36: [677,22,500,42,457],         // DIGIT SIX
     0x37: [656,11,500,42,457],         // DIGIT SEVEN
     0x38: [678,22,500,43,456],         // DIGIT EIGHT
-    0x39: [678,22,500,42,457],         // DIGIT NINE
+    0x39: [677,22,500,42,457],         // DIGIT NINE
     0x3A: [444,0,278,90,188],          // COLON
     0x3B: [444,125,278,89,188],        // SEMICOLON
-    0x3D: [370,-130,778,55,722],       // EQUALS SIGN
+    0x3D: [370,-130,778,56,722],       // EQUALS SIGN
     0x3F: [704,0,472,55,416],          // QUESTION MARK
     0x40: [704,11,667,56,612],         // COMMERCIAL AT
     0x41: [694,0,667,28,638],          // LATIN CAPITAL LETTER A
     0x42: [694,0,667,90,610],          // LATIN CAPITAL LETTER B
     0x43: [705,11,639,59,587],         // LATIN CAPITAL LETTER C
-    0x44: [695,0,722,87,666],          // LATIN CAPITAL LETTER D
+    0x44: [694,0,722,88,666],          // LATIN CAPITAL LETTER D
     0x45: [691,0,597,86,554],          // LATIN CAPITAL LETTER E
     0x46: [691,0,569,86,526],          // LATIN CAPITAL LETTER F
     0x47: [704,11,667,59,599],         // LATIN CAPITAL LETTER G
     0x48: [694,0,708,86,621],          // LATIN CAPITAL LETTER H
     0x49: [694,0,278,87,191],          // LATIN CAPITAL LETTER I
-    0x4A: [694,22,472,42,389],         // LATIN CAPITAL LETTER J
+    0x4A: [694,22,472,42,388],         // LATIN CAPITAL LETTER J
     0x4B: [694,0,694,88,651],          // LATIN CAPITAL LETTER K
     0x4C: [694,0,542,87,499],          // LATIN CAPITAL LETTER L
     0x4D: [694,0,875,92,782],          // LATIN CAPITAL LETTER M
@@ -82,12 +82,12 @@ MathJax.Hub.Insert(
     0x5D: [750,250,289,22,194],        // RIGHT SQUARE BRACKET
     0x5E: [694,-527,500,78,421],       // CIRCUMFLEX ACCENT
     0x5F: [-38,114,500,0,499],         // LOW LINE
-    0x61: [461,11,481,38,408],         // LATIN SMALL LETTER A
+    0x61: [460,10,481,38,407],         // LATIN SMALL LETTER A
     0x62: [694,11,517,75,482],         // LATIN SMALL LETTER B
     0x63: [460,10,444,34,415],         // LATIN SMALL LETTER C
     0x64: [694,10,517,33,441],         // LATIN SMALL LETTER D
     0x65: [461,10,444,28,415],         // LATIN SMALL LETTER E
-    0x66: [706,0,306,27,347],          // LATIN SMALL LETTER F
+    0x66: [705,0,306,27,347],          // LATIN SMALL LETTER F
     0x67: [455,206,500,28,485],        // LATIN SMALL LETTER G
     0x68: [694,0,517,73,443],          // LATIN SMALL LETTER H
     0x69: [680,0,239,67,171],          // LATIN SMALL LETTER I
@@ -97,16 +97,16 @@ MathJax.Hub.Insert(
     0x6D: [455,0,794,73,720],          // LATIN SMALL LETTER M
     0x6E: [455,0,517,73,443],          // LATIN SMALL LETTER N
     0x6F: [460,10,500,28,471],         // LATIN SMALL LETTER O
-    0x70: [456,194,517,75,483],        // LATIN SMALL LETTER P
+    0x70: [455,194,517,75,483],        // LATIN SMALL LETTER P
     0x71: [455,194,517,33,441],        // LATIN SMALL LETTER Q
     0x72: [455,0,342,74,327],          // LATIN SMALL LETTER R
     0x73: [460,10,383,28,360],         // LATIN SMALL LETTER S
     0x74: [571,10,361,18,333],         // LATIN SMALL LETTER T
-    0x75: [444,11,517,73,443],         // LATIN SMALL LETTER U
+    0x75: [444,10,517,73,443],         // LATIN SMALL LETTER U
     0x76: [444,0,461,14,446],          // LATIN SMALL LETTER V
     0x77: [444,0,683,14,668],          // LATIN SMALL LETTER W
     0x78: [444,0,461,0,460],           // LATIN SMALL LETTER X
-    0x79: [444,205,461,14,446],        // LATIN SMALL LETTER Y
+    0x79: [444,204,461,14,446],        // LATIN SMALL LETTER Y
     0x7A: [444,0,435,28,402],          // LATIN SMALL LETTER Z
     0x7E: [327,-193,500,83,416]        // TILDE
   }
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
index fce03c6ec..0edd069e3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
index 2a6744eee..593201540 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif'] = {
   directory: 'SansSerif/Regular',
   family: 'MathJax_SansSerif',
-  testString: "MathJax SansSerif",
+  testString: "MathJax SansSerif ^ _",
   Ranges: [
     [0x0,0x7F,"BasicLatin"],
     [0x80,0xFFFF,"Other"],
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
index 06b6263d0..8dc628353 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -31,7 +31,7 @@ MathJax.Hub.Insert(
     0x39E: [688,0,667,42,624],         // GREEK CAPITAL LETTER XI
     0x3A0: [691,0,708,86,621],         // GREEK CAPITAL LETTER PI
     0x3A3: [694,0,722,55,666],         // GREEK CAPITAL LETTER SIGMA
-    0x3A5: [717,0,778,55,722],         // GREEK CAPITAL LETTER UPSILON
+    0x3A5: [716,0,778,55,722],         // GREEK CAPITAL LETTER UPSILON
     0x3A6: [694,0,722,55,666],         // GREEK CAPITAL LETTER PHI
     0x3A8: [694,0,778,55,722],         // GREEK CAPITAL LETTER PSI
     0x3A9: [716,0,722,44,677],         // GREEK CAPITAL LETTER OMEGA
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
index 6a52511ae..386318b8e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,32 +22,32 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Script'],
   {
     0x20: [0,0,250,0,0],               // SPACE
-    0x41: [718,8,803,35,1017],         // LATIN CAPITAL LETTER A
+    0x41: [717,8,803,35,1016],         // LATIN CAPITAL LETTER A
     0x42: [708,28,908,31,928],         // LATIN CAPITAL LETTER B
     0x43: [728,26,666,26,819],         // LATIN CAPITAL LETTER C
     0x44: [708,31,774,68,855],         // LATIN CAPITAL LETTER D
-    0x45: [708,8,562,46,719],          // LATIN CAPITAL LETTER E
+    0x45: [707,8,562,46,718],          // LATIN CAPITAL LETTER E
     0x46: [735,36,895,39,990],         // LATIN CAPITAL LETTER F
-    0x47: [717,38,610,12,739],         // LATIN CAPITAL LETTER G
-    0x48: [718,36,969,29,1241],        // LATIN CAPITAL LETTER H
+    0x47: [717,37,610,12,738],         // LATIN CAPITAL LETTER G
+    0x48: [717,36,969,29,1241],        // LATIN CAPITAL LETTER H
     0x49: [717,17,809,59,946],         // LATIN CAPITAL LETTER I
-    0x4A: [718,315,1052,92,1133],      // LATIN CAPITAL LETTER J
+    0x4A: [717,314,1052,92,1133],      // LATIN CAPITAL LETTER J
     0x4B: [717,37,914,29,1204],        // LATIN CAPITAL LETTER K
-    0x4C: [718,18,874,14,1036],        // LATIN CAPITAL LETTER L
+    0x4C: [717,17,874,14,1035],        // LATIN CAPITAL LETTER L
     0x4D: [721,50,1080,30,1216],       // LATIN CAPITAL LETTER M
     0x4E: [726,36,902,29,1208],        // LATIN CAPITAL LETTER N
     0x4F: [707,8,738,96,805],          // LATIN CAPITAL LETTER O
-    0x50: [716,38,1013,89,1031],       // LATIN CAPITAL LETTER P
+    0x50: [716,37,1013,90,1031],       // LATIN CAPITAL LETTER P
     0x51: [717,17,883,54,885],         // LATIN CAPITAL LETTER Q
-    0x52: [717,17,850,-3,887],         // LATIN CAPITAL LETTER R
+    0x52: [717,17,850,-2,887],         // LATIN CAPITAL LETTER R
     0x53: [708,36,868,29,1016],        // LATIN CAPITAL LETTER S
     0x54: [735,37,747,92,996],         // LATIN CAPITAL LETTER T
     0x55: [717,17,800,55,960],         // LATIN CAPITAL LETTER U
     0x56: [717,17,622,56,850],         // LATIN CAPITAL LETTER V
-    0x57: [718,17,805,46,1026],        // LATIN CAPITAL LETTER W
-    0x58: [718,17,944,103,1132],       // LATIN CAPITAL LETTER X
+    0x57: [717,17,805,46,1026],        // LATIN CAPITAL LETTER W
+    0x58: [717,17,944,103,1131],       // LATIN CAPITAL LETTER X
     0x59: [716,17,710,57,959],         // LATIN CAPITAL LETTER Y
-    0x5A: [718,16,821,82,1033]         // LATIN CAPITAL LETTER Z
+    0x5A: [717,16,821,83,1032]         // LATIN CAPITAL LETTER Z
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
index dd3958b93..25e38738e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
index 635c3b41d..65bc73242 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
index 45c619c1b..09a98a799 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,13 +24,13 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = {
   testString: "() [] {}",
   0x20: [0,0,250,0,0],               // SPACE
   0x28: [850,349,458,152,422],       // LEFT PARENTHESIS
-  0x29: [851,349,458,35,305],        // RIGHT PARENTHESIS
+  0x29: [850,349,458,35,305],        // RIGHT PARENTHESIS
   0x2F: [850,349,578,55,522],        // SOLIDUS
   0x5B: [850,349,417,202,394],       // LEFT SQUARE BRACKET
   0x5C: [850,349,578,54,522],        // REVERSE SOLIDUS
   0x5D: [850,349,417,22,214],        // RIGHT SQUARE BRACKET
-  0x7B: [850,349,583,104,477],       // LEFT CURLY BRACKET
-  0x7D: [851,349,583,104,477],       // RIGHT CURLY BRACKET
+  0x7B: [850,349,583,105,477],       // LEFT CURLY BRACKET
+  0x7D: [850,349,583,105,477],       // RIGHT CURLY BRACKET
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x2C6: [744,-551,556,-8,564],      // MODIFIER LETTER CIRCUMFLEX ACCENT
   0x2DC: [722,-597,556,1,554],       // SMALL TILDE
@@ -43,7 +43,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = {
   0x21D3: [600,-1,778,57,721],       // DOWNWARDS DOUBLE ARROW
   0x220F: [750,250,944,55,888],      // N-ARY PRODUCT
   0x2210: [750,250,944,55,888],      // N-ARY COPRODUCT
-  0x2211: [751,250,1056,56,999],     // N-ARY SUMMATION
+  0x2211: [750,250,1056,56,999],     // N-ARY SUMMATION
   0x221A: [850,350,1000,111,1020],   // SQUARE ROOT
   0x2223: [627,15,333,145,188],      // DIVIDES
   0x2225: [627,15,556,145,410],      // PARALLEL TO
@@ -53,8 +53,8 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = {
   0x222E: [805,306,472,55,610],      // CONTOUR INTEGRAL
   0x22C0: [750,249,833,55,777],      // N-ARY LOGICAL AND
   0x22C1: [750,249,833,55,777],      // N-ARY LOGICAL OR
-  0x22C2: [750,249,833,54,777],      // N-ARY INTERSECTION
-  0x22C3: [750,250,833,55,777],      // N-ARY UNION
+  0x22C2: [750,249,833,55,777],      // N-ARY INTERSECTION
+  0x22C3: [750,249,833,55,777],      // N-ARY UNION
   0x2308: [850,349,472,202,449],     // LEFT CEILING
   0x2309: [850,349,472,22,269],      // RIGHT CEILING
   0x230A: [850,349,472,202,449],     // LEFT FLOOR
@@ -65,7 +65,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = {
   0x2A00: [750,250,1111,56,1054],    // N-ARY CIRCLED DOT OPERATOR
   0x2A01: [750,250,1111,56,1054],    // N-ARY CIRCLED PLUS OPERATOR
   0x2A02: [750,250,1111,56,1054],    // N-ARY CIRCLED TIMES OPERATOR
-  0x2A04: [750,250,833,55,777],      // N-ARY UNION OPERATOR WITH PLUS
+  0x2A04: [750,249,833,55,777],      // N-ARY UNION OPERATOR WITH PLUS
   0x2A06: [750,249,833,55,777]       // N-ARY SQUARE UNION OPERATOR
 };
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
index 19c93f917..140a5a924 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,13 +24,13 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size2'] = {
   testString: "() [] {}",
   0x20: [0,0,250,0,0],               // SPACE
   0x28: [1150,649,597,180,561],      // LEFT PARENTHESIS
-  0x29: [1151,649,597,35,416],       // RIGHT PARENTHESIS
-  0x2F: [1150,649,811,55,755],       // SOLIDUS
+  0x29: [1150,649,597,35,416],       // RIGHT PARENTHESIS
+  0x2F: [1150,649,811,56,754],       // SOLIDUS
   0x5B: [1150,649,472,224,455],      // LEFT SQUARE BRACKET
   0x5C: [1150,649,811,54,754],       // REVERSE SOLIDUS
   0x5D: [1150,649,472,16,247],       // RIGHT SQUARE BRACKET
   0x7B: [1150,649,667,119,547],      // LEFT CURLY BRACKET
-  0x7D: [1151,649,667,119,547],      // RIGHT CURLY BRACKET
+  0x7D: [1150,649,667,119,547],      // RIGHT CURLY BRACKET
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x2C6: [772,-565,1000,-5,1004],    // MODIFIER LETTER CIRCUMFLEX ACCENT
   0x2DC: [750,-611,1000,0,999],      // SMALL TILDE
@@ -41,8 +41,8 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size2'] = {
   0x2211: [950,450,1444,55,1388],    // N-ARY SUMMATION
   0x221A: [1150,650,1000,111,1020],  // SQUARE ROOT
   0x222B: [1360,862,556,55,944],     // INTEGRAL
-  0x222C: [1361,862,1084,55,1473],   // DOUBLE INTEGRAL
-  0x222D: [1361,862,1592,55,1981],   // TRIPLE INTEGRAL
+  0x222C: [1360,862,1084,55,1472],   // DOUBLE INTEGRAL
+  0x222D: [1360,862,1592,55,1980],   // TRIPLE INTEGRAL
   0x222E: [1360,862,556,55,944],     // CONTOUR INTEGRAL
   0x22C0: [950,450,1111,55,1055],    // N-ARY LOGICAL AND
   0x22C1: [950,450,1111,55,1055],    // N-ARY LOGICAL OR
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
index eb0b67c45..c72dfba0b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,25 +24,25 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size3'] = {
   testString: "() [] {}",
   0x20: [0,0,250,0,0],               // SPACE
   0x28: [1450,949,736,209,701],      // LEFT PARENTHESIS
-  0x29: [1451,949,736,34,526],       // RIGHT PARENTHESIS
+  0x29: [1450,949,736,34,526],       // RIGHT PARENTHESIS
   0x2F: [1450,949,1044,55,989],      // SOLIDUS
   0x5B: [1450,949,528,247,516],      // LEFT SQUARE BRACKET
   0x5C: [1450,949,1044,56,988],      // REVERSE SOLIDUS
   0x5D: [1450,949,528,11,280],       // RIGHT SQUARE BRACKET
   0x7B: [1450,949,750,130,618],      // LEFT CURLY BRACKET
-  0x7D: [1451,949,750,131,618],      // RIGHT CURLY BRACKET
+  0x7D: [1450,949,750,131,618],      // RIGHT CURLY BRACKET
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x2C6: [772,-564,1444,-4,1447],    // MODIFIER LETTER CIRCUMFLEX ACCENT
   0x2DC: [749,-610,1444,1,1442],     // SMALL TILDE
   0x302: [772,-564,0,-1448,3],       // COMBINING CIRCUMFLEX ACCENT
   0x303: [749,-610,0,-1443,-2],      // COMBINING TILDE
-  0x221A: [1450,951,1000,111,1020],  // SQUARE ROOT
+  0x221A: [1450,950,1000,111,1020],  // SQUARE ROOT
   0x2308: [1450,949,583,246,571],    // LEFT CEILING
   0x2309: [1450,949,583,11,336],     // RIGHT CEILING
   0x230A: [1450,949,583,246,571],    // LEFT FLOOR
   0x230B: [1450,949,583,11,336],     // RIGHT FLOOR
   0x27E8: [1450,950,750,126,654],    // MATHEMATICAL LEFT ANGLE BRACKET
-  0x27E9: [1450,950,750,94,623]      // MATHEMATICAL RIGHT ANGLE BRACKET
+  0x27E9: [1450,949,750,94,623]      // MATHEMATICAL RIGHT ANGLE BRACKET
 };
 
 MathJax.Callback.Queue(
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
index d43ac4aa9..cd0aef72d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,52 +24,52 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size4'] = {
   testString: "() [] {}",
   0x20: [0,0,250,0,0],               // SPACE
   0x28: [1750,1249,792,237,758],     // LEFT PARENTHESIS
-  0x29: [1751,1250,792,33,554],      // RIGHT PARENTHESIS
+  0x29: [1750,1249,792,33,554],      // RIGHT PARENTHESIS
   0x2F: [1750,1249,1278,56,1221],    // SOLIDUS
   0x5B: [1750,1249,583,269,577],     // LEFT SQUARE BRACKET
   0x5C: [1750,1249,1278,56,1221],    // REVERSE SOLIDUS
   0x5D: [1750,1249,583,5,313],       // RIGHT SQUARE BRACKET
-  0x7B: [1750,1249,806,144,662],     // LEFT CURLY BRACKET
-  0x7D: [1751,1249,806,144,662],     // RIGHT CURLY BRACKET
+  0x7B: [1750,1249,806,144,661],     // LEFT CURLY BRACKET
+  0x7D: [1750,1249,806,144,661],     // RIGHT CURLY BRACKET
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
   0x2C6: [845,-561,1889,-14,1902],   // MODIFIER LETTER CIRCUMFLEX ACCENT
   0x2DC: [823,-583,1889,1,1885],     // SMALL TILDE
   0x302: [845,-561,0,-1903,13],      // COMBINING CIRCUMFLEX ACCENT
   0x303: [823,-583,0,-1888,-4],      // COMBINING TILDE
-  0x221A: [1750,1251,1000,111,1020], // SQUARE ROOT
+  0x221A: [1750,1250,1000,111,1020], // SQUARE ROOT
   0x2308: [1750,1249,639,269,633],   // LEFT CEILING
   0x2309: [1750,1249,639,5,369],     // RIGHT CEILING
   0x230A: [1750,1249,639,269,633],   // LEFT FLOOR
   0x230B: [1750,1249,639,5,369],     // RIGHT FLOOR
-  0x239B: [1155,655,875,290,843],    // LEFT PARENTHESIS UPPER HOOK
+  0x239B: [1154,655,875,291,843],    // LEFT PARENTHESIS UPPER HOOK
   0x239C: [610,10,875,291,417],      // LEFT PARENTHESIS EXTENSION
   0x239D: [1165,644,875,291,843],    // LEFT PARENTHESIS LOWER HOOK
-  0x239E: [1155,655,875,31,583],     // RIGHT PARENTHESIS UPPER HOOK
+  0x239E: [1154,655,875,31,583],     // RIGHT PARENTHESIS UPPER HOOK
   0x239F: [610,10,875,457,583],      // RIGHT PARENTHESIS EXTENSION
-  0x23A0: [1165,645,875,31,583],     // RIGHT PARENTHESIS LOWER HOOK
+  0x23A0: [1165,644,875,31,583],     // RIGHT PARENTHESIS LOWER HOOK
   0x23A1: [1154,645,667,319,666],    // LEFT SQUARE BRACKET UPPER CORNER
   0x23A2: [602,0,667,319,403],       // LEFT SQUARE BRACKET EXTENSION
   0x23A3: [1155,644,667,319,666],    // LEFT SQUARE BRACKET LOWER CORNER
   0x23A4: [1154,645,667,0,347],      // RIGHT SQUARE BRACKET UPPER CORNER
   0x23A5: [602,0,667,263,347],       // RIGHT SQUARE BRACKET EXTENSION
   0x23A6: [1155,644,667,0,347],      // RIGHT SQUARE BRACKET LOWER CORNER
-  0x23A7: [899,10,889,383,719],      // LEFT CURLY BRACKET UPPER HOOK
-  0x23A8: [1160,660,889,170,505],    // LEFT CURLY BRACKET MIDDLE PIECE
+  0x23A7: [899,10,889,384,718],      // LEFT CURLY BRACKET UPPER HOOK
+  0x23A8: [1160,660,889,170,504],    // LEFT CURLY BRACKET MIDDLE PIECE
   0x23A9: [10,899,889,384,718],      // LEFT CURLY BRACKET LOWER HOOK
-  0x23AA: [310,10,889,383,504],      // CURLY BRACKET EXTENSION
-  0x23AB: [900,11,889,170,504],      // RIGHT CURLY BRACKET UPPER HOOK
+  0x23AA: [310,10,889,384,504],      // CURLY BRACKET EXTENSION
+  0x23AB: [899,10,889,170,504],      // RIGHT CURLY BRACKET UPPER HOOK
   0x23AC: [1160,660,889,384,718],    // RIGHT CURLY BRACKET MIDDLE PIECE
-  0x23AD: [10,899,889,170,505],      // RIGHT CURLY BRACKET LOWER HOOK
+  0x23AD: [10,899,889,170,504],      // RIGHT CURLY BRACKET LOWER HOOK
   0x23B7: [935,885,1056,111,742],    // RADICAL SYMBOL BOTTOM
-  0x27E8: [1750,1249,806,140,703],   // MATHEMATICAL LEFT ANGLE BRACKET
-  0x27E9: [1751,1249,806,103,665],   // MATHEMATICAL RIGHT ANGLE BRACKET
-  0xE000: [625,15,1056,702,742],     // MJ-TeX: radical symbol vertical extender
-  0xE001: [605,15,1056,702,1076],    // MJ-TeX: radical symbol top corner piece
-  0xE150: [120,213,450,-24,461],     // MJ-TeX: horizontal brace, down left piece
-  0xE151: [120,214,450,-11,475],     // MJ-TeX: horizontal brace, down right piece
-  0xE152: [333,0,450,-24,461],       // MJ-TeX: horizontal brace, upper left piece
-  0xE153: [333,0,450,-11,475],       // MJ-TeX: horizontal brace, upper right piece
-  0xE154: [120,0,400,-10,410]        // MJ-TeX: horizontal brace, extender
+  0x27E8: [1750,1248,806,140,703],   // MATHEMATICAL LEFT ANGLE BRACKET
+  0x27E9: [1750,1248,806,103,665],   // MATHEMATICAL RIGHT ANGLE BRACKET
+  0xE000: [625,14,1056,702,742],     // stix-radical symbol vertical extender
+  0xE001: [605,14,1056,702,1076],    // stix-radical symbol top corner piece
+  0xE150: [120,213,450,-24,460],     // stix-horizontal brace, down left piece
+  0xE151: [120,213,450,-10,474],     // stix-horizontal brace, down right piece
+  0xE152: [333,0,450,-24,460],       // stix-horizontal brace, upper left piece
+  0xE153: [333,0,450,-10,474],       // stix-horizontal brace, upper right piece
+  0xE154: [120,0,400,-10,410]        // stix-oblique open face capital letter A
 };
 
 MathJax.Callback.Queue(
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
index a40c3d935..90431b2d9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,99 +24,99 @@ MathJax.Hub.Insert(
     0x20: [0,0,250,0,0],               // SPACE
     0x21: [622,0,525,206,320],         // EXCLAMATION MARK
     0x22: [623,-333,525,122,402],      // QUOTATION MARK
-    0x23: [612,0,525,36,490],          // NUMBER SIGN
-    0x24: [695,83,525,58,467],         // DOLLAR SIGN
+    0x23: [611,0,525,36,489],          // NUMBER SIGN
+    0x24: [694,82,525,58,466],         // DOLLAR SIGN
     0x25: [694,83,525,35,489],         // PERCENT SIGN
     0x26: [622,11,525,28,490],         // AMPERSAND
     0x27: [611,-287,525,175,349],      // APOSTROPHE
-    0x28: [695,83,525,166,437],        // LEFT PARENTHESIS
+    0x28: [694,82,525,166,437],        // LEFT PARENTHESIS
     0x29: [694,82,525,87,358],         // RIGHT PARENTHESIS
     0x2A: [520,-90,525,68,456],        // ASTERISK
     0x2B: [531,-81,525,38,487],        // PLUS SIGN
     0x2C: [140,139,525,173,353],       // COMMA
-    0x2D: [341,-271,525,56,468],       // HYPHEN-MINUS
+    0x2D: [341,-271,525,57,468],       // HYPHEN-MINUS
     0x2E: [140,-1,525,193,332],        // FULL STOP
     0x2F: [694,83,525,58,466],         // SOLIDUS
     0x30: [621,10,525,42,482],         // DIGIT ZERO
-    0x31: [622,0,525,98,450],          // DIGIT ONE
-    0x32: [623,-1,525,52,473],         // DIGIT TWO
-    0x33: [622,12,525,44,479],         // DIGIT THREE
-    0x34: [624,-1,525,28,496],         // DIGIT FOUR
+    0x31: [622,-1,525,99,450],         // DIGIT ONE
+    0x32: [622,-1,525,52,472],         // DIGIT TWO
+    0x33: [622,11,525,44,479],         // DIGIT THREE
+    0x34: [624,-1,525,29,495],         // DIGIT FOUR
     0x35: [611,10,525,52,472],         // DIGIT FIVE
-    0x36: [622,11,525,45,480],         // DIGIT SIX
-    0x37: [628,10,525,43,480],         // DIGIT SEVEN
+    0x36: [622,11,525,45,479],         // DIGIT SIX
+    0x37: [627,10,525,44,480],         // DIGIT SEVEN
     0x38: [621,10,525,45,479],         // DIGIT EIGHT
-    0x39: [622,11,525,45,479],         // DIGIT NINE
+    0x39: [622,11,525,46,479],         // DIGIT NINE
     0x3A: [431,-1,525,193,332],        // COLON
     0x3B: [431,139,525,175,337],       // SEMICOLON
     0x3C: [557,-55,525,57,468],        // LESS-THAN SIGN
-    0x3D: [417,-195,525,37,487],       // EQUALS SIGN
+    0x3D: [417,-195,525,38,487],       // EQUALS SIGN
     0x3E: [557,-55,525,57,468],        // GREATER-THAN SIGN
     0x3F: [617,0,525,62,462],          // QUESTION MARK
     0x40: [617,6,525,44,481],          // COMMERCIAL AT
-    0x41: [624,0,525,27,497],          // LATIN CAPITAL LETTER A
-    0x42: [611,-1,525,16,482],         // LATIN CAPITAL LETTER B
-    0x43: [622,11,525,40,485],         // LATIN CAPITAL LETTER C
-    0x44: [612,-1,525,15,485],         // LATIN CAPITAL LETTER D
-    0x45: [611,-1,525,18,503],         // LATIN CAPITAL LETTER E
-    0x46: [611,-1,525,21,491],         // LATIN CAPITAL LETTER F
-    0x47: [622,11,525,38,497],         // LATIN CAPITAL LETTER G
-    0x48: [612,-1,525,16,508],         // LATIN CAPITAL LETTER H
-    0x49: [611,-1,525,71,453],         // LATIN CAPITAL LETTER I
-    0x4A: [611,11,525,56,479],         // LATIN CAPITAL LETTER J
-    0x4B: [612,-1,525,18,496],         // LATIN CAPITAL LETTER K
-    0x4C: [612,1,525,25,489],          // LATIN CAPITAL LETTER L
-    0x4D: [612,0,525,11,513],          // LATIN CAPITAL LETTER M
-    0x4E: [612,1,525,20,504],          // LATIN CAPITAL LETTER N
-    0x4F: [621,11,525,56,468],         // LATIN CAPITAL LETTER O
-    0x50: [612,-1,525,18,481],         // LATIN CAPITAL LETTER P
+    0x41: [623,-1,525,28,496],         // LATIN CAPITAL LETTER A
+    0x42: [611,-1,525,17,482],         // LATIN CAPITAL LETTER B
+    0x43: [622,11,525,40,484],         // LATIN CAPITAL LETTER C
+    0x44: [611,-1,525,16,485],         // LATIN CAPITAL LETTER D
+    0x45: [611,-1,525,19,502],         // LATIN CAPITAL LETTER E
+    0x46: [611,-1,525,22,490],         // LATIN CAPITAL LETTER F
+    0x47: [622,11,525,38,496],         // LATIN CAPITAL LETTER G
+    0x48: [611,-1,525,16,508],         // LATIN CAPITAL LETTER H
+    0x49: [611,-1,525,72,452],         // LATIN CAPITAL LETTER I
+    0x4A: [611,11,525,57,479],         // LATIN CAPITAL LETTER J
+    0x4B: [611,-1,525,18,495],         // LATIN CAPITAL LETTER K
+    0x4C: [611,0,525,25,488],          // LATIN CAPITAL LETTER L
+    0x4D: [611,-1,525,12,512],         // LATIN CAPITAL LETTER M
+    0x4E: [611,0,525,20,504],          // LATIN CAPITAL LETTER N
+    0x4F: [621,10,525,56,468],         // LATIN CAPITAL LETTER O
+    0x50: [611,-1,525,19,480],         // LATIN CAPITAL LETTER P
     0x51: [621,138,525,56,468],        // LATIN CAPITAL LETTER Q
-    0x52: [612,11,525,16,522],         // LATIN CAPITAL LETTER R
-    0x53: [622,12,525,51,472],         // LATIN CAPITAL LETTER S
-    0x54: [611,-1,525,26,499],         // LATIN CAPITAL LETTER T
-    0x55: [611,11,525,-4,528],         // LATIN CAPITAL LETTER U
-    0x56: [611,8,525,18,506],          // LATIN CAPITAL LETTER V
-    0x57: [612,8,525,11,513],          // LATIN CAPITAL LETTER W
-    0x58: [612,-1,525,27,496],         // LATIN CAPITAL LETTER X
-    0x59: [612,-1,525,19,505],         // LATIN CAPITAL LETTER Y
-    0x5A: [611,-1,525,47,482],         // LATIN CAPITAL LETTER Z
-    0x5B: [695,82,525,213,484],        // LEFT SQUARE BRACKET
+    0x52: [611,11,525,16,522],         // LATIN CAPITAL LETTER R
+    0x53: [622,11,525,52,472],         // LATIN CAPITAL LETTER S
+    0x54: [611,-1,525,26,498],         // LATIN CAPITAL LETTER T
+    0x55: [611,11,525,-3,528],         // LATIN CAPITAL LETTER U
+    0x56: [611,7,525,19,505],          // LATIN CAPITAL LETTER V
+    0x57: [611,7,525,12,512],          // LATIN CAPITAL LETTER W
+    0x58: [611,-1,525,28,495],         // LATIN CAPITAL LETTER X
+    0x59: [611,-1,525,20,505],         // LATIN CAPITAL LETTER Y
+    0x5A: [611,-1,525,48,481],         // LATIN CAPITAL LETTER Z
+    0x5B: [694,82,525,214,483],        // LEFT SQUARE BRACKET
     0x5C: [694,83,525,58,466],         // REVERSE SOLIDUS
-    0x5D: [696,82,525,41,310],         // RIGHT SQUARE BRACKET
-    0x5E: [612,-459,525,95,428],       // CIRCUMFLEX ACCENT
-    0x5F: [-25,95,525,56,468],         // LOW LINE
+    0x5D: [694,82,525,41,310],         // RIGHT SQUARE BRACKET
+    0x5E: [611,-460,525,96,428],       // CIRCUMFLEX ACCENT
+    0x5F: [-25,95,525,57,468],         // LOW LINE
     0x60: [681,-357,525,176,350],      // GRAVE ACCENT
-    0x61: [439,6,525,48,525],          // LATIN SMALL LETTER A
-    0x62: [612,6,525,4,492],           // LATIN SMALL LETTER B
-    0x63: [441,6,525,66,466],          // LATIN SMALL LETTER C
-    0x64: [612,6,525,31,520],          // LATIN SMALL LETTER D
+    0x61: [439,6,525,48,524],          // LATIN SMALL LETTER A
+    0x62: [611,6,525,4,492],           // LATIN SMALL LETTER B
+    0x63: [440,6,525,66,466],          // LATIN SMALL LETTER C
+    0x64: [611,6,525,31,520],          // LATIN SMALL LETTER D
     0x65: [440,6,525,48,464],          // LATIN SMALL LETTER E
-    0x66: [617,-1,525,34,437],         // LATIN SMALL LETTER F
+    0x66: [617,-1,525,35,437],         // LATIN SMALL LETTER F
     0x67: [442,229,525,28,509],        // LATIN SMALL LETTER G
-    0x68: [612,-1,525,4,520],          // LATIN SMALL LETTER H
-    0x69: [612,-1,525,71,463],         // LATIN SMALL LETTER I
-    0x6A: [612,228,525,48,377],        // LATIN SMALL LETTER J
-    0x6B: [612,0,525,12,508],          // LATIN SMALL LETTER K
-    0x6C: [611,-1,525,50,475],         // LATIN SMALL LETTER L
-    0x6D: [437,0,525,-13,536],         // LATIN SMALL LETTER M
-    0x6E: [437,-1,525,4,520],          // LATIN SMALL LETTER N
+    0x68: [611,-1,525,4,520],          // LATIN SMALL LETTER H
+    0x69: [612,-1,525,72,462],         // LATIN SMALL LETTER I
+    0x6A: [612,228,525,48,376],        // LATIN SMALL LETTER J
+    0x6B: [611,-1,525,13,507],         // LATIN SMALL LETTER K
+    0x6C: [611,-1,525,51,474],         // LATIN SMALL LETTER L
+    0x6D: [436,-1,525,-12,536],        // LATIN SMALL LETTER M
+    0x6E: [436,-1,525,4,520],          // LATIN SMALL LETTER N
     0x6F: [440,6,525,52,472],          // LATIN SMALL LETTER O
     0x70: [437,221,525,4,492],         // LATIN SMALL LETTER P
-    0x71: [438,222,525,34,546],        // LATIN SMALL LETTER Q
-    0x72: [437,0,525,24,487],          // LATIN SMALL LETTER R
-    0x73: [440,6,525,71,458],          // LATIN SMALL LETTER S
-    0x74: [555,6,525,25,448],          // LATIN SMALL LETTER T
-    0x75: [432,5,525,4,520],           // LATIN SMALL LETTER U
-    0x76: [432,5,525,24,500],          // LATIN SMALL LETTER V
-    0x77: [432,5,525,15,509],          // LATIN SMALL LETTER W
-    0x78: [432,-1,525,28,496],         // LATIN SMALL LETTER X
-    0x79: [432,228,525,25,500],        // LATIN SMALL LETTER Y
-    0x7A: [431,-1,525,33,476],         // LATIN SMALL LETTER Z
-    0x7B: [694,84,525,49,475],         // LEFT CURLY BRACKET
+    0x71: [437,221,525,34,545],        // LATIN SMALL LETTER Q
+    0x72: [437,-1,525,24,487],         // LATIN SMALL LETTER R
+    0x73: [440,6,525,72,458],          // LATIN SMALL LETTER S
+    0x74: [554,6,525,25,448],          // LATIN SMALL LETTER T
+    0x75: [431,5,525,4,520],           // LATIN SMALL LETTER U
+    0x76: [431,4,525,24,500],          // LATIN SMALL LETTER V
+    0x77: [431,4,525,16,508],          // LATIN SMALL LETTER W
+    0x78: [431,-1,525,29,495],         // LATIN SMALL LETTER X
+    0x79: [431,228,525,26,500],        // LATIN SMALL LETTER Y
+    0x7A: [431,-1,525,34,475],         // LATIN SMALL LETTER Z
+    0x7B: [694,83,525,50,475],         // LEFT CURLY BRACKET
     0x7C: [694,82,525,228,297],        // VERTICAL LINE
-    0x7D: [695,83,525,49,476],         // RIGHT CURLY BRACKET
+    0x7D: [694,83,525,49,475],         // RIGHT CURLY BRACKET
     0x7E: [611,-466,525,87,437],       // TILDE
-    0x7F: [612,-518,525,104,421]       // ??
+    0x7F: [612,-519,525,104,421]       // ??
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
index c061c986c..530a6cd63 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,13 +23,13 @@ MathJax.Hub.Insert(
   {
     0x300: [611,-485,0,-409,-195],     // COMBINING GRAVE ACCENT
     0x301: [611,-485,0,-331,-117],     // COMBINING ACUTE ACCENT
-    0x302: [612,-459,0,-430,-97],      // COMBINING CIRCUMFLEX ACCENT
+    0x302: [611,-460,0,-429,-97],      // COMBINING CIRCUMFLEX ACCENT
     0x303: [611,-466,0,-438,-88],      // COMBINING TILDE
-    0x304: [578,-500,0,-453,-74],      // COMBINING MACRON
-    0x306: [612,-503,0,-446,-78],      // COMBINING BREVE
-    0x308: [612,-518,0,-421,-104],     // COMBINING DIAERESIS
+    0x304: [577,-500,0,-452,-74],      // COMBINING MACRON
+    0x306: [611,-504,0,-446,-79],      // COMBINING BREVE
+    0x308: [612,-519,0,-421,-104],     // COMBINING DIAERESIS
     0x30A: [619,-499,0,-344,-182],     // COMBINING RING ABOVE
-    0x30C: [577,-449,0,-428,-99]       // COMBINING CARON
+    0x30C: [577,-449,0,-427,-99]       // COMBINING CARON
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
index 1a445936e..b7628bd48 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Typewriter'] = {
   directory: 'Typewriter/Regular',
   family: 'MathJax_Typewriter',
-  testString: "MathJax Typewriter",
+  testString: "MathJax Typewriter |",
   Ranges: [
     [0x0,0x7F,"BasicLatin"],
     [0x80,0xFFFF,"Other"],
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
index 8bb97c925..b64657d6f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,19 +22,19 @@ MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Typewriter'],
   {
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
-    0x131: [432,-1,525,71,463],        // LATIN SMALL LETTER DOTLESS I
-    0x237: [432,228,525,48,377],       // LATIN SMALL LETTER DOTLESS J
-    0x393: [612,1,525,25,489],         // GREEK CAPITAL LETTER GAMMA
+    0x131: [431,-1,525,72,462],        // LATIN SMALL LETTER DOTLESS I
+    0x237: [431,228,525,48,376],       // LATIN SMALL LETTER DOTLESS J
+    0x393: [611,0,525,25,488],         // GREEK CAPITAL LETTER GAMMA
     0x394: [623,0,525,35,489],         // GREEK CAPITAL LETTER DELTA
-    0x398: [621,11,525,56,468],        // GREEK CAPITAL LETTER THETA
-    0x39B: [623,-1,525,29,496],        // GREEK CAPITAL LETTER LAMDA
-    0x39E: [611,-1,525,32,492],        // GREEK CAPITAL LETTER XI
+    0x398: [621,10,525,56,468],        // GREEK CAPITAL LETTER THETA
+    0x39B: [623,-1,525,30,495],        // GREEK CAPITAL LETTER LAMDA
+    0x39E: [611,-1,525,33,491],        // GREEK CAPITAL LETTER XI
     0x3A0: [611,-1,525,16,508],        // GREEK CAPITAL LETTER PI
-    0x3A3: [612,-1,525,40,485],        // GREEK CAPITAL LETTER SIGMA
-    0x3A5: [623,-1,525,38,487],        // GREEK CAPITAL LETTER UPSILON
+    0x3A3: [611,-1,525,40,484],        // GREEK CAPITAL LETTER SIGMA
+    0x3A5: [622,-1,525,38,486],        // GREEK CAPITAL LETTER UPSILON
     0x3A6: [611,-1,525,41,483],        // GREEK CAPITAL LETTER PHI
-    0x3A8: [611,-1,525,36,487],        // GREEK CAPITAL LETTER PSI
-    0x3A9: [622,0,525,31,493],         // GREEK CAPITAL LETTER OMEGA
+    0x3A8: [611,-1,525,37,487],        // GREEK CAPITAL LETTER PSI
+    0x3A9: [622,-1,525,32,492],        // GREEK CAPITAL LETTER OMEGA
     0x7E2: [611,-287,525,175,349],     // ??
     0x7E3: [681,-357,525,176,350],     // ??
     0x2032: [623,-334,525,211,313]     // PRIME
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
index 7e548bb78..4bcafcf31 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,21 +21,21 @@
 MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinChrome'] = {
   directory: 'WinChrome/Regular',
   family: 'MathJax_WinChrome',
-  testString: "> T d "+String.fromCharCode(0x23A6)+" "+String.fromCharCode(0x2A00),
+  testString: "> T d \u23A6 \u2A00",
   skew: {
     0x54: 0.0278,
     0xE2F0: 0.0319
   },
   0x20: [0,0,250,0,0],               // SPACE
-  0x3E: [540,40,778,82,694],         // GREATER-THAN SIGN
-  0x54: [717,69,545,34,834],         // LATIN CAPITAL LETTER T
-  0x64: [694,11,511,100,567],        // LATIN SMALL LETTER D
+  0x3E: [540,40,778,83,694],         // GREATER-THAN SIGN
+  0x54: [717,68,545,34,833],         // LATIN CAPITAL LETTER T
+  0x64: [694,11,511,101,567],        // LATIN SMALL LETTER D
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
-  0x22C3: [750,250,833,55,777],      // N-ARY UNION
+  0x22C3: [750,249,833,55,777],      // N-ARY UNION
   0x23A6: [1155,644,667,0,347],      // RIGHT SQUARE BRACKET LOWER CORNER
   0x2A00: [949,449,1511,56,1454],    // N-ARY CIRCLED DOT OPERATOR
-  0xE2F0: [720,69,644,38,947],       // ??
-  0xE2F1: [587,85,894,95,797]        // ??
+  0xE2F0: [720,69,644,38,947],       // stix-lowercase u italic slashed
+  0xE2F1: [587,85,894,96,797]        // stix-lowercase u bold italic slashed
 };
 
 MathJax.Callback.Queue(
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
index fc57212ef..0e1faeb20 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,35 +21,35 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'],
   {
-    0xE2C0: [438,-63,500,57,417],      // ??
-    0xE2C1: [438,-63,500,64,422],      // ??
-    0xE2C2: [430,23,222,91,131],       // ??
-    0xE2C3: [431,23,389,55,331],       // ??
-    0xE2C4: [365,-132,778,55,719],     // ??
-    0xE2C5: [753,175,778,83,694],      // ??
-    0xE2C6: [753,175,778,82,694],      // ??
-    0xE2C7: [708,209,778,82,693],      // ??
-    0xE2C8: [708,209,778,82,694],      // ??
-    0xE2CA: [694,-306,500,54,444],     // ??
-    0xE2CB: [695,-306,500,55,444],     // ??
-    0xE2CC: [367,23,500,54,444],       // ??
-    0xE2CD: [366,22,500,55,445],       // ??
-    0xE2CE: [694,195,889,0,860],       // ??
-    0xE2CF: [694,195,889,0,860],       // ??
-    0xE2D0: [689,0,778,55,722],        // ??
-    0xE2D1: [689,0,778,55,722],        // ??
-    0xE2D2: [575,20,722,84,637],       // ??
-    0xE2D3: [575,20,722,84,637],       // ??
-    0xE2D4: [539,41,778,83,694],       // ??
-    0xE2D5: [576,20,722,84,638],       // ??
-    0xE2D6: [576,20,722,84,638],       // ??
-    0xE2D7: [539,41,778,83,694],       // ??
-    0xE2D8: [716,132,667,56,612],      // ??
-    0xE2D9: [471,82,667,24,643],       // ??
-    0xE2DA: [471,82,667,23,643],       // ??
-    0xE2DB: [601,101,778,15,762],      // ??
-    0xE2DC: [695,111,944,49,896],      // ??
-    0xE2DD: [367,-133,778,56,722]      // ??
+    0xE2C0: [437,-64,500,58,417],      // stix-capital W italic slashed
+    0xE2C1: [437,-64,500,64,422],      // stix-capital W bold italic slashed
+    0xE2C2: [430,23,222,91,131],       // stix-capital X italic slashed
+    0xE2C3: [431,23,389,55,331],       // stix-capital X bold italic slashed
+    0xE2C4: [365,-132,778,55,719],     // stix-capital Y italic slashed
+    0xE2C5: [753,175,778,83,694],      // stix-capital Y bold italic slashed
+    0xE2C6: [753,175,778,83,694],      // stix-capital Z italic slashed
+    0xE2C7: [708,209,778,82,693],      // stix-capital Z bold italic slashed
+    0xE2C8: [708,209,778,82,693],      // stix-lowercase a italic slashed
+    0xE2CA: [694,-306,500,55,444],     // stix-lowercase b italic slashed
+    0xE2CB: [694,-306,500,55,444],     // stix-lowercase b bold italic slashed
+    0xE2CC: [366,22,500,55,444],       // stix-lowercase c italic slashed
+    0xE2CD: [366,22,500,55,444],       // stix-lowercase c bold italic slashed
+    0xE2CE: [694,195,889,0,860],       // stix-lowercase d italic slashed
+    0xE2CF: [694,195,889,0,860],       // stix-lowercase d bold italic slashed
+    0xE2D0: [689,0,778,55,722],        // stix-lowercase e italic slashed
+    0xE2D1: [689,0,778,55,722],        // stix-lowercase e bold italic slashed
+    0xE2D2: [575,20,722,84,637],       // stix-lowercase f italic slashed
+    0xE2D3: [575,20,722,84,637],       // stix-lowercase f bold italic slashed
+    0xE2D4: [539,41,778,83,694],       // stix-lowercase g italic slashed
+    0xE2D5: [576,19,722,84,637],       // stix-lowercase g bold italic slashed
+    0xE2D6: [576,19,722,84,637],       // stix-lowercase h italic slashed
+    0xE2D7: [539,41,778,83,694],       // stix-lowercase h bold italic slashed
+    0xE2D8: [716,132,667,56,611],      // stix-lowercase i italic slashed
+    0xE2D9: [471,82,667,24,643],       // stix-lowercase i bold italic slashed
+    0xE2DA: [471,82,667,23,643],       // stix-lowercase j italic slashed
+    0xE2DB: [601,101,778,15,762],      // stix-lowercase j bold italic slashed
+    0xE2DC: [694,111,944,49,895],      // stix-lowercase k italic slashed
+    0xE2DD: [367,-133,778,56,722]      // stix-lowercase k bold italic slashed
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
index fc40d9616..77a9cf063 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,61 +21,61 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'],
   {
-    0xE240: [519,18,1150,64,1085],     // ??
-    0xE241: [694,193,575,13,562],      // ??
-    0xE242: [519,18,1150,65,1085],     // ??
-    0xE243: [694,194,575,13,562],      // ??
-    0xE244: [519,18,1150,64,1085],     // ??
-    0xE245: [767,267,575,13,562],      // ??
-    0xE246: [724,195,1150,64,1084],    // ??
-    0xE247: [724,193,1150,64,1086],    // ??
-    0xE248: [695,224,1150,65,1085],    // ??
-    0xE249: [694,224,1150,64,1085],    // ??
-    0xE24A: [548,47,1150,64,1084],     // ??
-    0xE24B: [548,46,1150,47,1102],     // ??
-    0xE24C: [694,16,639,0,640],        // ??
-    0xE24D: [710,17,628,60,657],       // ??
-    0xE24E: [694,-1,639,64,574],       // ??
-    0xE24F: [686,24,958,56,901],       // ??
-    0xE250: [587,86,767,97,670],       // ??
-    0xE251: [588,86,767,95,670],       // ??
-    0xE252: [750,250,575,63,511],      // ??
-    0xE253: [820,180,958,78,989],      // ??
-    0xE254: [451,8,894,65,831],        // ??
-    0xE255: [452,8,1150,65,1084],      // ??
-    0xE256: [715,0,722,55,676],        // ??
-    0xE257: [750,249,319,129,190],     // ??
-    0xE258: [750,248,575,145,430],     // ??
-    0xE259: [604,17,767,64,702],       // ??
-    0xE25A: [604,17,767,64,702],       // ??
-    0xE25B: [603,16,767,64,702],       // ??
-    0xE25C: [604,16,767,64,702],       // ??
-    0xE25D: [711,211,569,64,632],      // ??
-    0xE25E: [391,-109,894,64,828],     // ??
-    0xE25F: [524,-32,894,64,829],      // ??
-    0xE260: [712,210,894,64,830],      // ??
-    0xE261: [505,3,894,64,829],        // ??
-    0xE262: [697,199,894,96,797],      // ??
-    0xE263: [697,199,894,96,797],      // ??
-    0xE264: [618,117,1150,64,1085],    // ??
-    0xE265: [619,116,1150,64,1085],    // ??
-    0xE266: [587,85,894,96,797],       // ??
-    0xE267: [587,86,894,96,797],       // ??
-    0xE268: [697,199,894,96,797],      // ??
-    0xE269: [697,199,894,96,797],      // ??
-    0xE26A: [632,132,894,64,828],      // ??
-    0xE26B: [632,132,894,64,828],      // ??
-    0xE26C: [693,-1,894,64,829],       // ??
-    0xE26D: [711,-1,1022,68,953],      // ??
-    0xE26E: [500,210,1022,68,953],     // ??
-    0xE26F: [711,211,1150,65,1084],    // ??
-    0xE270: [720,130,894,63,829],      // ??
-    0xE271: [711,24,894,65,828],       // ??
-    0xE272: [719,154,894,64,828],      // ??
-    0xE273: [720,130,894,32,861],      // ??
-    0xE274: [750,17,447,63,382],       // ??
-    0xE275: [741,223,447,56,390],      // ??
-    0xE276: [724,224,447,63,383]       // ??
+    0xE240: [518,17,1150,64,1084],     // stix-mathematical calligraphic capital T
+    0xE241: [694,193,575,14,561],      // stix-mathematical calligraphic capital U
+    0xE242: [518,17,1150,65,1085],     // stix-mathematical calligraphic capital V
+    0xE243: [694,194,575,14,561],      // stix-mathematical calligraphic capital W
+    0xE244: [518,17,1150,64,1085],     // stix-mathematical calligraphic capital X
+    0xE245: [767,267,575,14,561],      // stix-mathematical calligraphic capital Y
+    0xE246: [724,194,1150,64,1084],    // stix-mathematical calligraphic capital Z
+    0xE247: [724,193,1150,64,1085],    // stix-mathematical bold calligraphic capital A
+    0xE248: [694,224,1150,65,1085],    // stix-mathematical bold calligraphic capital B
+    0xE249: [694,224,1150,64,1085],    // stix-mathematical bold calligraphic capital C
+    0xE24A: [547,46,1150,64,1084],     // stix-mathematical bold calligraphic capital D
+    0xE24B: [547,46,1150,47,1102],     // stix-mathematical bold calligraphic capital E
+    0xE24C: [694,16,639,1,640],        // stix-mathematical bold calligraphic capital F
+    0xE24D: [710,17,628,60,657],       // stix-mathematical bold calligraphic capital G
+    0xE24E: [694,-1,639,64,574],       // stix-mathematical bold calligraphic capital H
+    0xE24F: [686,24,958,56,901],       // stix-mathematical bold calligraphic capital I
+    0xE250: [587,86,767,97,670],       // stix-mathematical bold calligraphic capital J
+    0xE251: [587,86,767,96,670],       // stix-mathematical bold calligraphic capital K
+    0xE252: [750,250,575,63,511],      // stix-mathematical bold calligraphic capital L
+    0xE253: [820,180,958,78,988],      // stix-mathematical bold calligraphic capital M
+    0xE254: [451,8,894,65,830],        // stix-mathematical bold calligraphic capital N
+    0xE255: [452,8,1150,65,1084],      // stix-mathematical bold calligraphic capital O
+    0xE256: [714,0,722,55,676],        // stix-mathematical bold calligraphic capital Q
+    0xE257: [750,249,319,129,190],     // stix-mathematical bold calligraphic capital P
+    0xE258: [750,248,575,145,430],     // stix-mathematical bold calligraphic capital R
+    0xE259: [604,17,767,64,702],       // stix-mathematical bold calligraphic capital S
+    0xE25A: [604,16,767,64,702],       // stix-mathematical bold calligraphic capital T
+    0xE25B: [603,16,767,64,702],       // stix-mathematical bold calligraphic capital U
+    0xE25C: [604,16,767,64,702],       // stix-mathematical bold calligraphic capital V
+    0xE25D: [711,211,569,64,632],      // stix-mathematical bold calligraphic capital W
+    0xE25E: [391,-109,894,64,828],     // stix-mathematical bold calligraphic capital X
+    0xE25F: [524,-32,894,64,829],      // stix-mathematical bold calligraphic capital Y
+    0xE260: [711,210,894,64,829],      // stix-mathematical bold calligraphic capital Z
+    0xE261: [505,3,894,64,829],        // stix-old style digit 0
+    0xE262: [697,199,894,96,797],      // stix-old style digit 0
+    0xE263: [697,199,894,96,797],      // stix-old style digit 0
+    0xE264: [617,116,1150,64,1085],    // stix-old style digit 0
+    0xE265: [618,116,1150,64,1085],    // stix-old style digit 1
+    0xE266: [587,85,894,96,797],       // stix-old style digit 1
+    0xE267: [587,86,894,96,796],       // stix-old style digit 1
+    0xE268: [697,199,894,96,797],      // stix-old style digit 1
+    0xE269: [697,199,894,96,796],      // stix-old style digit 2
+    0xE26A: [632,132,894,64,828],      // stix-old style digit 2
+    0xE26B: [632,132,894,64,828],      // stix-old style digit 2
+    0xE26C: [693,-1,894,65,829],       // stix-old style digit 2
+    0xE26D: [711,-1,1022,69,953],      // stix-old style digit 3
+    0xE26E: [500,210,1022,68,953],     // stix-old style digit 3
+    0xE26F: [711,211,1150,65,1084],    // stix-old style digit 3
+    0xE270: [719,129,894,64,829],      // stix-old style digit 3
+    0xE271: [711,24,894,65,828],       // stix-old style digit 4
+    0xE272: [719,154,894,64,828],      // stix-old style digit 4
+    0xE273: [719,129,894,32,861],      // stix-old style digit 4
+    0xE274: [750,17,447,64,381],       // stix-old style digit 4
+    0xE275: [741,223,447,57,389],      // stix-old style digit 5
+    0xE276: [724,224,447,63,382]       // stix-old style digit 5
   }
 );
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
index 5799e68a4..ccce4b052 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
  *
- *  Copyright (c) 2009-2010 Design Science, Inc.
+ *  Copyright (c) 2009-2012 Design Science, Inc.
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'] = {
   directory: 'WinIE6/Regular',
   family: 'MathJax_WinIE6',
-  testString: String.fromCharCode(0xE247)+" "+String.fromCharCode(0xE257)+" "+String.fromCharCode(0xE2CF),
+  testString: "\uE247 \uE257 \uE2CF",
   skew: {
     0xE20D: 0.0833,
     0xE24D: 0.0958
@@ -32,78 +32,78 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'] = {
   ],
   0x20: [0,0,250,0,0],               // SPACE
   0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
-  0xE200: [511,12,1000,54,944],      // ??
-  0xE201: [694,194,500,17,483],      // ??
-  0xE202: [512,11,1000,55,945],      // ??
-  0xE203: [694,194,500,17,483],      // ??
-  0xE204: [511,11,1000,55,945],      // ??
-  0xE205: [772,272,500,17,483],      // ??
-  0xE206: [720,196,1000,29,944],     // ??
-  0xE207: [720,195,1000,55,970],     // ??
-  0xE208: [695,220,1000,55,970],     // ??
-  0xE209: [695,220,1000,29,944],     // ??
-  0xE20A: [525,25,1000,55,944],      // ??
-  0xE20B: [525,25,1000,34,966],      // ??
-  0xE20C: [694,22,556,0,556],        // ??
-  0xE20D: [715,22,531,41,566],       // ??
-  0xE20E: [694,0,556,55,500],        // ??
-  0xE20F: [683,33,833,46,786],       // ??
-  0xE210: [541,41,667,84,584],       // ??
-  0xE211: [541,40,667,83,582],       // ??
-  0xE212: [751,250,500,56,445],      // ??
-  0xE213: [800,200,833,72,853],      // ??
-  0xE214: [442,11,778,56,722],       // ??
-  0xE215: [442,11,1000,55,944],      // ??
+  0xE200: [511,11,1000,55,944],      // stix-mathematical bold oblique double-struck capital A
+  0xE201: [694,193,500,17,483],      // stix-mathematical bold oblique double-struck capital B
+  0xE202: [511,11,1000,56,944],      // ??
+  0xE203: [694,194,500,17,483],      // stix-mathematical bold oblique double-struck capital E
+  0xE204: [511,11,1000,55,944],      // stix-mathematical bold oblique double-struck capital F
+  0xE205: [772,272,500,17,483],      // stix-mathematical bold oblique double-struck capital G
+  0xE206: [720,195,1000,29,944],     // stix-mathematical bold oblique double-struck capital I
+  0xE207: [720,195,1000,55,970],     // stix-mathematical bold oblique double-struck capital J
+  0xE208: [695,220,1000,55,970],     // stix-mathematical bold oblique double-struck capital K
+  0xE209: [695,220,1000,29,944],     // stix-mathematical bold oblique double-struck capital L
+  0xE20A: [525,24,1000,56,944],      // stix-mathematical bold oblique double-struck capital M
+  0xE20B: [526,25,1000,34,966],      // stix-mathematical bold oblique double-struck capital O
+  0xE20C: [694,22,556,0,556],        // stix-mathematical bold oblique double-struck capital S
+  0xE20D: [715,22,531,42,566],       // stix-mathematical bold oblique double-struck capital T
+  0xE20E: [694,0,556,56,500],        // stix-mathematical bold oblique double-struck capital U
+  0xE20F: [683,33,833,46,786],       // stix-mathematical bold oblique double-struck capital V
+  0xE210: [540,40,667,84,583],       // stix-mathematical bold oblique double-struck capital W
+  0xE211: [540,40,667,83,582],       // stix-mathematical bold oblique double-struck capital X
+  0xE212: [750,250,500,56,445],      // stix-mathematical bold oblique double-struck capital Y
+  0xE213: [800,200,833,72,853],      // stix-mathematical bold oblique double-struck small letter a
+  0xE214: [442,11,778,56,722],       // stix-mathematical bold oblique double-struck small letter b
+  0xE215: [442,11,1000,55,944],      // stix-mathematical bold oblique double-struck small letter c
   0xE216: [694,0,722,55,666],        // ??
-  0xE217: [750,250,278,119,159],     // ??
-  0xE218: [750,250,500,132,367],     // ??
-  0xE219: [598,22,667,55,611],       // ??
-  0xE21A: [598,22,667,55,611],       // ??
+  0xE217: [750,249,278,119,159],     // ??
+  0xE218: [750,250,500,132,367],     // stix-mathematical bold oblique double-struck small letter f
+  0xE219: [598,22,667,55,611],       // stix-mathematical bold oblique double-struck small letter g
+  0xE21A: [598,22,667,55,611],       // stix-mathematical bold oblique double-struck small letter h
   0xE21B: [598,22,667,55,611],       // ??
-  0xE21C: [599,22,667,55,611],       // ??
-  0xE21D: [716,216,417,55,472],      // ??
-  0xE21E: [367,-133,778,55,722],     // ??
-  0xE21F: [483,-55,778,55,722],      // ??
-  0xE220: [716,215,778,55,722],      // ??
-  0xE221: [464,-36,778,55,722],      // ??
-  0xE222: [636,138,778,83,694],      // ??
-  0xE223: [636,138,778,82,694],      // ??
-  0xE224: [568,68,1000,56,944],      // ??
-  0xE225: [567,67,1000,55,945],      // ??
-  0xE226: [540,41,778,84,695],       // ??
-  0xE227: [541,40,778,82,693],       // ??
-  0xE228: [636,139,778,84,695],      // ??
-  0xE229: [637,138,778,83,693],      // ??
-  0xE22A: [583,83,778,56,722],       // ??
-  0xE22B: [583,83,778,56,722],       // ??
-  0xE22C: [668,0,778,55,723],        // ??
-  0xE22D: [716,0,889,59,828],        // ??
-  0xE22E: [500,215,889,59,828],      // ??
-  0xE22F: [715,215,1000,56,944],     // ??
-  0xE230: [727,131,778,55,723],      // ??
-  0xE231: [716,33,778,55,723],       // ??
-  0xE232: [727,163,778,55,723],      // ??
-  0xE233: [726,131,778,28,750],      // ??
-  0xE234: [751,22,389,54,333],       // ??
-  0xE235: [734,223,389,65,324],      // ??
-  0xE236: [723,223,389,54,334],      // ??
-  0xE280: [0,1000,944,55,888],       // ??
-  0xE281: [1,1000,1056,56,999],      // ??
-  0xE282: [40,1160,1000,111,1020],   // ??
-  0xE283: [21,621,333,145,188],      // ??
-  0xE284: [21,621,556,145,410],      // ??
-  0xE285: [0,1111,472,55,610],       // ??
-  0xE286: [0,1111,472,55,610],       // ??
-  0xE287: [0,600,667,112,555],       // ??
-  0xE288: [0,600,667,112,555],       // ??
+  0xE21C: [598,22,667,55,611],       // ??
+  0xE21D: [716,216,417,55,472],      // stix-mathematical bold oblique double-struck small letter k
+  0xE21E: [367,-133,778,55,722],     // stix-mathematical bold oblique double-struck small letter l
+  0xE21F: [483,-55,778,55,722],      // stix-mathematical bold oblique double-struck small letter m
+  0xE220: [716,215,778,56,722],      // stix-mathematical bold oblique double-struck small letter n
+  0xE221: [464,-36,778,56,722],      // stix-mathematical bold oblique double-struck small letter o
+  0xE222: [636,138,778,83,694],      // stix-mathematical bold oblique double-struck small letter p
+  0xE223: [636,138,778,83,694],      // stix-mathematical bold oblique double-struck small letter q
+  0xE224: [568,67,1000,56,944],      // stix-mathematical bold oblique double-struck small letter r
+  0xE225: [567,67,1000,55,944],      // stix-mathematical bold oblique double-struck small letter s
+  0xE226: [540,40,778,84,694],       // stix-mathematical bold oblique double-struck small letter t
+  0xE227: [540,40,778,83,693],       // stix-mathematical bold oblique double-struck small letter u
+  0xE228: [636,138,778,84,694],      // stix-mathematical bold oblique double-struck small letter v
+  0xE229: [636,138,778,83,693],      // stix-mathematical bold oblique double-struck small letter w
+  0xE22A: [583,83,778,56,722],       // stix-mathematical bold oblique double-struck small letter x
+  0xE22B: [583,83,778,56,722],       // stix-mathematical bold oblique double-struck small letter y
+  0xE22C: [668,0,778,55,723],        // stix-mathematical bold oblique double-struck small letter z
+  0xE22D: [716,0,889,59,828],        // stix-mathematical calligraphic capital A
+  0xE22E: [500,215,889,59,828],      // stix-mathematical calligraphic capital B
+  0xE22F: [715,215,1000,56,944],     // stix-mathematical calligraphic capital C
+  0xE230: [727,130,778,55,723],      // stix-mathematical calligraphic capital D
+  0xE231: [716,33,778,55,723],       // stix-mathematical calligraphic capital E
+  0xE232: [727,162,778,55,723],      // stix-mathematical calligraphic capital F
+  0xE233: [726,130,778,28,750],      // stix-mathematical calligraphic capital G
+  0xE234: [750,22,389,55,332],       // stix-mathematical calligraphic capital H
+  0xE235: [734,223,389,65,324],      // stix-mathematical calligraphic capital I
+  0xE236: [723,223,389,55,333],      // stix-mathematical calligraphic capital J
+  0xE280: [0,1000,944,55,888],       // stix-old style digit 7
+  0xE281: [0,1000,1056,56,999],      // stix-old style digit 8
+  0xE282: [40,1160,1000,111,1020],   // stix-old style digit 8
+  0xE283: [21,621,333,145,188],      // stix-old style digit 8
+  0xE284: [21,621,556,145,410],      // stix-old style digit 8
+  0xE285: [0,1111,472,55,610],       // stix-old style digit 9
+  0xE286: [0,1111,472,55,610],       // stix-old style digit 9
+  0xE287: [0,600,667,112,555],       // stix-old style digit 9
+  0xE288: [0,600,667,112,555],       // stix-old style digit 9
   0xE289: [1,601,667,312,355],       // ??
-  0xE290: [0,1400,1278,56,1221],     // ??
-  0xE291: [0,1400,1444,55,1388],     // ??
-  0xE292: [40,1760,1000,111,1020],   // ??
-  0xE295: [0,2222,556,55,944],       // ??
-  0xE296: [0,2222,556,55,944],       // ??
-  0xE2A2: [40,2361,1000,111,1020],   // ??
-  0xE2B2: [40,2961,1000,111,1020]    // ??
+  0xE290: [0,1400,1278,56,1221],     // stix-long horizontal extender at baseline
+  0xE291: [0,1400,1444,55,1388],     // stix-short horizontal extender, high
+  0xE292: [40,1760,1000,111,1020],   // stix-two summation signs next to each other
+  0xE295: [0,2222,556,55,944],       // stix-capital A bold italic slashed
+  0xE296: [0,2222,556,55,944],       // stix-capital B italic slashed
+  0xE2A2: [40,2360,1000,111,1020],   // stix-capital H italic slashed
+  0xE2B2: [40,2960,1000,111,1020]    // stix-capital P italic slashed
 };
 
 MathJax.Callback.Queue(
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js
index 6a00d5316..150de76bd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js
@@ -605,39 +605,39 @@
     },
     0x20: [0,0,250,0,0],               // SPACE
     0x30: [452,22,500,39,460],         // DIGIT ZERO
-    0x31: [454,0,500,86,426],          // DIGIT ONE
+    0x31: [453,0,500,86,426],          // DIGIT ONE
     0x32: [453,0,500,44,449],          // DIGIT TWO
-    0x33: [452,216,500,41,456],        // DIGIT THREE
-    0x34: [464,194,500,27,471],        // DIGIT FOUR
-    0x35: [453,217,500,50,448],        // DIGIT FIVE
-    0x36: [666,22,500,42,456],         // DIGIT SIX
-    0x37: [463,216,500,54,485],        // DIGIT SEVEN
-    0x38: [666,21,500,43,457],         // DIGIT EIGHT
+    0x33: [452,216,500,42,456],        // DIGIT THREE
+    0x34: [464,194,500,28,471],        // DIGIT FOUR
+    0x35: [453,216,500,50,448],        // DIGIT FIVE
+    0x36: [665,22,500,42,456],         // DIGIT SIX
+    0x37: [463,216,500,55,485],        // DIGIT SEVEN
+    0x38: [666,21,500,43,456],         // DIGIT EIGHT
     0x39: [453,216,500,42,457],        // DIGIT NINE
     0x41: [728,50,798,30,819],         // LATIN CAPITAL LETTER A
-    0x42: [705,22,657,31,664],         // LATIN CAPITAL LETTER B
+    0x42: [705,22,657,32,664],         // LATIN CAPITAL LETTER B
     0x43: [705,25,527,12,533],         // LATIN CAPITAL LETTER C
-    0x44: [684,1,771,19,767],          // LATIN CAPITAL LETTER D
-    0x45: [706,22,528,30,565],         // LATIN CAPITAL LETTER E
+    0x44: [683,0,771,19,766],          // LATIN CAPITAL LETTER D
+    0x45: [705,22,528,30,564],         // LATIN CAPITAL LETTER E
     0x46: [683,32,719,18,829],         // LATIN CAPITAL LETTER F
-    0x47: [704,119,595,43,599],        // LATIN CAPITAL LETTER G
+    0x47: [704,119,595,44,599],        // LATIN CAPITAL LETTER G
     0x48: [683,48,845,18,803],         // LATIN CAPITAL LETTER H
-    0x49: [683,1,545,-31,642],         // LATIN CAPITAL LETTER I
+    0x49: [683,0,545,-30,642],         // LATIN CAPITAL LETTER I
     0x4A: [683,119,678,47,839],        // LATIN CAPITAL LETTER J
-    0x4B: [705,23,762,32,733],         // LATIN CAPITAL LETTER K
-    0x4C: [706,22,690,32,656],         // LATIN CAPITAL LETTER L
+    0x4B: [705,22,762,32,732],         // LATIN CAPITAL LETTER K
+    0x4C: [705,22,690,32,656],         // LATIN CAPITAL LETTER L
     0x4D: [705,50,1201,28,1137],       // LATIN CAPITAL LETTER M
-    0x4E: [790,50,820,-27,979],        // LATIN CAPITAL LETTER N
+    0x4E: [789,50,820,-27,979],        // LATIN CAPITAL LETTER N
     0x4F: [705,22,796,58,777],         // LATIN CAPITAL LETTER O
-    0x50: [684,57,696,19,733],         // LATIN CAPITAL LETTER P
-    0x51: [706,131,817,114,787],       // LATIN CAPITAL LETTER Q
-    0x52: [683,22,848,19,837],         // LATIN CAPITAL LETTER R
-    0x53: [705,23,606,17,642],         // LATIN CAPITAL LETTER S
-    0x54: [717,69,545,34,834],         // LATIN CAPITAL LETTER T
-    0x55: [684,28,626,-17,687],        // LATIN CAPITAL LETTER U
+    0x50: [683,57,696,19,733],         // LATIN CAPITAL LETTER P
+    0x51: [705,131,817,114,787],       // LATIN CAPITAL LETTER Q
+    0x52: [682,22,848,19,837],         // LATIN CAPITAL LETTER R
+    0x53: [705,22,606,18,642],         // LATIN CAPITAL LETTER S
+    0x54: [717,68,545,34,833],         // LATIN CAPITAL LETTER T
+    0x55: [683,28,626,-17,687],        // LATIN CAPITAL LETTER U
     0x56: [683,52,613,25,658],         // LATIN CAPITAL LETTER V
     0x57: [683,53,988,25,1034],        // LATIN CAPITAL LETTER W
-    0x58: [684,1,713,52,807],          // LATIN CAPITAL LETTER X
+    0x58: [683,0,713,52,807],          // LATIN CAPITAL LETTER X
     0x59: [683,143,668,31,714],        // LATIN CAPITAL LETTER Y
     0x5A: [683,0,725,37,767],          // LATIN CAPITAL LETTER Z
     0xA0: [0,0,250,0,0]                // NO-BREAK SPACE
@@ -647,7 +647,7 @@
     directory: 'Main/Bold',
     family: 'MathJax_Main',
     weight: 'bold',
-    testString: "MathJax Main",
+    testString: "MathJax Main ^ \u210F \u2223",
     skew: {
       0x131: 0.0319,
       0x237: 0.0958,
@@ -681,7 +681,7 @@
     0x25: [750,56,958,65,893],         // PERCENT SIGN
     0x26: [705,11,894,48,836],         // AMPERSAND
     0x27: [694,-329,319,74,261],       // APOSTROPHE
-    0x28: [751,250,447,103,382],       // LEFT PARENTHESIS
+    0x28: [750,249,447,103,382],       // LEFT PARENTHESIS
     0x29: [750,249,447,64,343],        // RIGHT PARENTHESIS
     0x2A: [750,-306,575,73,501],       // ASTERISK
     0x2B: [633,131,894,64,829],        // PLUS SIGN
@@ -689,28 +689,28 @@
     0x2D: [278,-166,383,13,318],       // HYPHEN-MINUS
     0x2E: [171,-1,319,74,245],         // FULL STOP
     0x2F: [750,250,575,63,511],        // SOLIDUS
-    0x30: [655,10,575,45,529],         // DIGIT ZERO
+    0x30: [654,10,575,45,529],         // DIGIT ZERO
     0x31: [655,0,575,80,494],          // DIGIT ONE
     0x32: [654,0,575,57,517],          // DIGIT TWO
-    0x33: [655,12,575,47,526],         // DIGIT THREE
-    0x34: [657,0,575,32,542],          // DIGIT FOUR
+    0x33: [655,11,575,47,526],         // DIGIT THREE
+    0x34: [656,0,575,32,542],          // DIGIT FOUR
     0x35: [655,11,575,57,517],         // DIGIT FIVE
-    0x36: [655,11,575,48,527],         // DIGIT SIX
-    0x37: [676,11,575,64,559],         // DIGIT SEVEN
+    0x36: [655,11,575,48,526],         // DIGIT SIX
+    0x37: [676,11,575,64,558],         // DIGIT SEVEN
     0x38: [654,11,575,48,526],         // DIGIT EIGHT
     0x39: [654,11,575,48,526],         // DIGIT NINE
     0x3A: [444,-1,319,74,245],         // COLON
     0x3B: [444,194,319,74,248],        // SEMICOLON
     0x3C: [587,85,894,96,797],         // LESS-THAN SIGN
     0x3D: [393,-109,894,64,829],       // EQUALS SIGN
-    0x3E: [587,85,894,95,797],         // GREATER-THAN SIGN
+    0x3E: [587,85,894,96,797],         // GREATER-THAN SIGN
     0x3F: [700,-1,543,65,478],         // QUESTION MARK
-    0x40: [700,6,894,64,829],          // COMMERCIAL AT
+    0x40: [699,6,894,64,829],          // COMMERCIAL AT
     0x41: [698,0,869,40,828],          // LATIN CAPITAL LETTER A
-    0x42: [687,0,818,39,753],          // LATIN CAPITAL LETTER B
-    0x43: [697,11,831,64,767],         // LATIN CAPITAL LETTER C
-    0x44: [687,0,882,39,817],          // LATIN CAPITAL LETTER D
-    0x45: [681,0,756,38,723],          // LATIN CAPITAL LETTER E
+    0x42: [686,0,818,39,752],          // LATIN CAPITAL LETTER B
+    0x43: [697,11,831,64,766],         // LATIN CAPITAL LETTER C
+    0x44: [686,0,882,39,817],          // LATIN CAPITAL LETTER D
+    0x45: [680,0,756,39,723],          // LATIN CAPITAL LETTER E
     0x46: [680,0,724,39,675],          // LATIN CAPITAL LETTER F
     0x47: [697,10,904,64,845],         // LATIN CAPITAL LETTER G
     0x48: [686,0,900,39,860],          // LATIN CAPITAL LETTER H
@@ -718,20 +718,20 @@
     0x4A: [686,11,594,8,527],          // LATIN CAPITAL LETTER J
     0x4B: [686,0,901,39,852],          // LATIN CAPITAL LETTER K
     0x4C: [686,0,692,39,643],          // LATIN CAPITAL LETTER L
-    0x4D: [687,0,1092,39,1052],        // LATIN CAPITAL LETTER M
-    0x4E: [687,1,900,39,861],          // LATIN CAPITAL LETTER N
+    0x4D: [686,0,1092,39,1052],        // LATIN CAPITAL LETTER M
+    0x4E: [686,0,900,39,860],          // LATIN CAPITAL LETTER N
     0x4F: [696,10,864,64,798],         // LATIN CAPITAL LETTER O
     0x50: [686,0,786,39,721],          // LATIN CAPITAL LETTER P
-    0x51: [697,193,864,64,806],        // LATIN CAPITAL LETTER Q
-    0x52: [687,11,862,39,858],         // LATIN CAPITAL LETTER R
-    0x53: [697,11,639,63,575],         // LATIN CAPITAL LETTER S
+    0x51: [696,193,864,64,805],        // LATIN CAPITAL LETTER Q
+    0x52: [686,11,862,39,858],         // LATIN CAPITAL LETTER R
+    0x53: [697,11,639,64,574],         // LATIN CAPITAL LETTER S
     0x54: [675,0,800,41,758],          // LATIN CAPITAL LETTER T
-    0x55: [686,12,885,39,845],         // LATIN CAPITAL LETTER U
+    0x55: [686,11,885,39,845],         // LATIN CAPITAL LETTER U
     0x56: [686,7,869,25,843],          // LATIN CAPITAL LETTER V
-    0x57: [686,8,1189,24,1164],        // LATIN CAPITAL LETTER W
+    0x57: [686,7,1189,24,1164],        // LATIN CAPITAL LETTER W
     0x58: [686,0,869,33,835],          // LATIN CAPITAL LETTER X
     0x59: [686,0,869,19,849],          // LATIN CAPITAL LETTER Y
-    0x5A: [687,0,703,64,645],          // LATIN CAPITAL LETTER Z
+    0x5A: [686,0,703,64,645],          // LATIN CAPITAL LETTER Z
     0x5B: [750,250,319,128,293],       // LEFT SQUARE BRACKET
     0x5C: [750,250,575,63,511],        // REVERSE SOLIDUS
     0x5D: [750,250,319,25,190],        // RIGHT SQUARE BRACKET
@@ -739,10 +739,10 @@
     0x5F: [-10,61,575,0,574],          // LOW LINE
     0x60: [706,-503,575,114,338],      // GRAVE ACCENT
     0x61: [453,6,559,32,558],          // LATIN SMALL LETTER A
-    0x62: [694,7,639,29,601],          // LATIN SMALL LETTER B
+    0x62: [694,6,639,29,600],          // LATIN SMALL LETTER B
     0x63: [453,6,511,39,478],          // LATIN SMALL LETTER C
-    0x64: [695,6,639,38,609],          // LATIN SMALL LETTER D
-    0x65: [453,6,527,32,494],          // LATIN SMALL LETTER E
+    0x64: [694,6,639,38,609],          // LATIN SMALL LETTER D
+    0x65: [452,6,527,32,494],          // LATIN SMALL LETTER E
     0x66: [700,0,351,40,452],          // LATIN SMALL LETTER F
     0x67: [455,201,575,30,558],        // LATIN SMALL LETTER G
     0x68: [694,0,639,37,623],          // LATIN SMALL LETTER H
@@ -750,42 +750,42 @@
     0x6A: [695,200,351,-71,274],       // LATIN SMALL LETTER J
     0x6B: [694,0,607,29,587],          // LATIN SMALL LETTER K
     0x6C: [694,0,319,40,301],          // LATIN SMALL LETTER L
-    0x6D: [451,0,958,37,942],          // LATIN SMALL LETTER M
+    0x6D: [450,0,958,37,942],          // LATIN SMALL LETTER M
     0x6E: [450,0,639,37,623],          // LATIN SMALL LETTER N
     0x6F: [452,5,575,32,542],          // LATIN SMALL LETTER O
-    0x70: [450,194,639,28,600],        // LATIN SMALL LETTER P
+    0x70: [450,194,639,29,600],        // LATIN SMALL LETTER P
     0x71: [450,194,607,38,609],        // LATIN SMALL LETTER Q
     0x72: [450,0,474,29,442],          // LATIN SMALL LETTER R
-    0x73: [453,7,454,37,415],          // LATIN SMALL LETTER S
-    0x74: [636,6,447,21,382],          // LATIN SMALL LETTER T
+    0x73: [453,6,454,38,414],          // LATIN SMALL LETTER S
+    0x74: [635,5,447,21,382],          // LATIN SMALL LETTER T
     0x75: [450,6,639,37,623],          // LATIN SMALL LETTER U
-    0x76: [444,4,607,26,580],          // LATIN SMALL LETTER V
-    0x77: [444,5,831,25,805],          // LATIN SMALL LETTER W
+    0x76: [444,3,607,26,580],          // LATIN SMALL LETTER V
+    0x77: [444,4,831,25,805],          // LATIN SMALL LETTER W
     0x78: [444,0,607,21,586],          // LATIN SMALL LETTER X
     0x79: [444,200,607,23,580],        // LATIN SMALL LETTER Y
-    0x7A: [445,0,511,31,462],          // LATIN SMALL LETTER Z
-    0x7B: [751,251,575,69,504],        // LEFT CURLY BRACKET
+    0x7A: [444,0,511,32,462],          // LATIN SMALL LETTER Z
+    0x7B: [750,250,575,70,504],        // LEFT CURLY BRACKET
     0x7C: [750,249,319,129,190],       // VERTICAL LINE
-    0x7D: [751,251,575,70,504],        // RIGHT CURLY BRACKET
-    0x7E: [344,-201,575,96,478],       // TILDE
+    0x7D: [750,250,575,70,504],        // RIGHT CURLY BRACKET
+    0x7E: [344,-202,575,96,478],       // TILDE
     0x393: [680,0,692,39,643],         // GREEK CAPITAL LETTER GAMMA
     0x394: [698,0,958,56,901],         // GREEK CAPITAL LETTER DELTA
     0x398: [696,10,894,64,829],        // GREEK CAPITAL LETTER THETA
-    0x39B: [699,0,806,40,765],         // GREEK CAPITAL LETTER LAMDA
+    0x39B: [698,0,806,40,765],         // GREEK CAPITAL LETTER LAMDA
     0x39E: [675,0,767,48,718],         // GREEK CAPITAL LETTER XI
     0x3A0: [680,0,900,39,860],         // GREEK CAPITAL LETTER PI
     0x3A3: [686,0,831,63,766],         // GREEK CAPITAL LETTER SIGMA
     0x3A5: [697,0,894,64,829],         // GREEK CAPITAL LETTER UPSILON
     0x3A6: [686,0,831,64,766],         // GREEK CAPITAL LETTER PHI
     0x3A8: [686,0,894,64,829],         // GREEK CAPITAL LETTER PSI
-    0x3A9: [696,1,831,51,780]          // GREEK CAPITAL LETTER OMEGA
+    0x3A9: [696,0,831,51,779]          // GREEK CAPITAL LETTER OMEGA
   };
 
   HTMLCSS.FONTDATA.FONTS['MathJax_Main-italic'] = {
     directory: 'Main/Italic',
     family: 'MathJax_Main',
     style: 'italic',
-    testString: "MathJax Main",
+    testString: "MathJax Main ^ \u210F \u2223",
     Ranges: [
       [0xA0,0xFF,"Latin1Supplement"],
       [0x300,0x36F,"CombDiacritMarks"],
@@ -796,101 +796,101 @@
     0x21: [716,0,307,107,380],         // EXCLAMATION MARK
     0x22: [694,-379,514,176,538],      // QUOTATION MARK
     0x23: [694,194,818,115,828],       // NUMBER SIGN
-    0x25: [751,56,818,144,848],        // PERCENT SIGN
+    0x25: [750,56,818,145,847],        // PERCENT SIGN
     0x26: [716,22,767,127,802],        // AMPERSAND
     0x27: [694,-379,307,213,377],      // APOSTROPHE
     0x28: [750,250,409,144,517],       // LEFT PARENTHESIS
     0x29: [750,250,409,17,390],        // RIGHT PARENTHESIS
-    0x2A: [751,-320,511,195,584],      // ASTERISK
-    0x2B: [558,57,767,139,753],        // PLUS SIGN
-    0x2C: [121,194,307,69,233],        // COMMA
-    0x2D: [251,-179,358,84,341],       // HYPHEN-MINUS
+    0x2A: [750,-320,511,195,584],      // ASTERISK
+    0x2B: [557,57,767,139,753],        // PLUS SIGN
+    0x2C: [121,194,307,69,232],        // COMMA
+    0x2D: [251,-180,358,84,341],       // HYPHEN-MINUS
     0x2E: [121,0,307,107,231],         // FULL STOP
     0x2F: [750,250,511,19,617],        // SOLIDUS
     0x30: [665,21,511,110,562],        // DIGIT ZERO
     0x31: [666,0,511,110,468],         // DIGIT ONE
     0x32: [666,22,511,76,551],         // DIGIT TWO
-    0x33: [667,22,511,96,563],         // DIGIT THREE
-    0x34: [666,194,511,46,479],        // DIGIT FOUR
+    0x33: [666,22,511,96,562],         // DIGIT THREE
+    0x34: [666,194,511,46,478],        // DIGIT FOUR
     0x35: [666,22,511,106,567],        // DIGIT FIVE
-    0x36: [665,22,511,120,566],        // DIGIT SIX
+    0x36: [665,22,511,120,565],        // DIGIT SIX
     0x37: [666,22,511,136,634],        // DIGIT SEVEN
     0x38: [666,21,511,99,553],         // DIGIT EIGHT
     0x39: [666,22,511,107,553],        // DIGIT NINE
     0x3A: [431,0,307,107,308],         // COLON
     0x3B: [431,194,307,70,308],        // SEMICOLON
     0x3D: [367,-133,767,116,776],      // EQUALS SIGN
-    0x3F: [717,0,511,195,551],         // QUESTION MARK
+    0x3F: [716,0,511,195,551],         // QUESTION MARK
     0x40: [705,11,767,152,789],        // COMMERCIAL AT
-    0x41: [716,1,743,58,696],          // LATIN CAPITAL LETTER A
-    0x42: [683,1,704,57,732],          // LATIN CAPITAL LETTER B
+    0x41: [716,0,743,58,696],          // LATIN CAPITAL LETTER A
+    0x42: [683,0,704,57,732],          // LATIN CAPITAL LETTER B
     0x43: [705,21,716,150,812],        // LATIN CAPITAL LETTER C
-    0x44: [683,1,755,56,775],          // LATIN CAPITAL LETTER D
-    0x45: [681,0,678,54,743],          // LATIN CAPITAL LETTER E
-    0x46: [681,0,653,54,731],          // LATIN CAPITAL LETTER F
-    0x47: [705,22,774,149,812],        // LATIN CAPITAL LETTER G
+    0x44: [683,0,755,56,775],          // LATIN CAPITAL LETTER D
+    0x45: [680,0,678,54,743],          // LATIN CAPITAL LETTER E
+    0x46: [680,-1,653,54,731],         // LATIN CAPITAL LETTER F
+    0x47: [705,22,774,150,812],        // LATIN CAPITAL LETTER G
     0x48: [683,0,743,54,860],          // LATIN CAPITAL LETTER H
     0x49: [683,0,386,49,508],          // LATIN CAPITAL LETTER I
     0x4A: [683,21,525,78,622],         // LATIN CAPITAL LETTER J
     0x4B: [683,0,769,54,859],          // LATIN CAPITAL LETTER K
     0x4C: [683,0,627,54,628],          // LATIN CAPITAL LETTER L
-    0x4D: [684,0,897,58,1010],         // LATIN CAPITAL LETTER M
-    0x4E: [684,0,743,54,860],          // LATIN CAPITAL LETTER N
+    0x4D: [683,0,897,58,1010],         // LATIN CAPITAL LETTER M
+    0x4E: [683,0,743,54,860],          // LATIN CAPITAL LETTER N
     0x4F: [704,22,767,149,788],        // LATIN CAPITAL LETTER O
-    0x50: [684,0,678,55,729],          // LATIN CAPITAL LETTER P
+    0x50: [683,0,678,55,729],          // LATIN CAPITAL LETTER P
     0x51: [704,194,767,149,788],       // LATIN CAPITAL LETTER Q
     0x52: [683,22,729,55,723],         // LATIN CAPITAL LETTER R
-    0x53: [706,22,562,74,634],         // LATIN CAPITAL LETTER S
-    0x54: [678,0,716,171,807],         // LATIN CAPITAL LETTER T
-    0x55: [684,22,743,194,860],        // LATIN CAPITAL LETTER U
+    0x53: [705,22,562,74,633],         // LATIN CAPITAL LETTER S
+    0x54: [677,0,716,171,806],         // LATIN CAPITAL LETTER T
+    0x55: [683,22,743,194,860],        // LATIN CAPITAL LETTER U
     0x56: [683,22,743,205,868],        // LATIN CAPITAL LETTER V
     0x57: [683,22,999,205,1124],       // LATIN CAPITAL LETTER W
-    0x58: [684,0,743,50,826],          // LATIN CAPITAL LETTER X
-    0x59: [684,0,743,198,875],         // LATIN CAPITAL LETTER Y
-    0x5A: [683,1,613,80,705],          // LATIN CAPITAL LETTER Z
-    0x5B: [751,251,307,73,446],        // LEFT SQUARE BRACKET
-    0x5D: [751,251,307,-14,359],       // RIGHT SQUARE BRACKET
+    0x58: [683,0,743,50,825],          // LATIN CAPITAL LETTER X
+    0x59: [683,0,743,198,875],         // LATIN CAPITAL LETTER Y
+    0x5A: [683,0,613,80,704],          // LATIN CAPITAL LETTER Z
+    0x5B: [750,250,307,73,446],        // LEFT SQUARE BRACKET
+    0x5D: [750,250,307,-14,359],       // RIGHT SQUARE BRACKET
     0x5E: [694,-527,511,260,528],      // CIRCUMFLEX ACCENT
-    0x5F: [-24,62,511,91,554],         // LOW LINE
+    0x5F: [-25,62,511,91,554],         // LOW LINE
     0x61: [442,11,511,101,543],        // LATIN SMALL LETTER A
     0x62: [694,11,460,108,467],        // LATIN SMALL LETTER B
-    0x63: [441,10,460,103,470],        // LATIN SMALL LETTER C
-    0x64: [694,11,511,100,567],        // LATIN SMALL LETTER D
+    0x63: [441,10,460,103,469],        // LATIN SMALL LETTER C
+    0x64: [694,11,511,101,567],        // LATIN SMALL LETTER D
     0x65: [442,10,460,107,470],        // LATIN SMALL LETTER E
     0x66: [705,204,307,-23,450],       // LATIN SMALL LETTER F
-    0x67: [442,205,460,46,495],        // LATIN SMALL LETTER G
-    0x68: [695,11,511,69,544],         // LATIN SMALL LETTER H
+    0x67: [442,205,460,46,494],        // LATIN SMALL LETTER G
+    0x68: [694,11,511,69,544],         // LATIN SMALL LETTER H
     0x69: [656,10,307,75,340],         // LATIN SMALL LETTER I
     0x6A: [656,204,307,-32,364],       // LATIN SMALL LETTER J
-    0x6B: [694,11,460,69,499],         // LATIN SMALL LETTER K
+    0x6B: [694,11,460,69,498],         // LATIN SMALL LETTER K
     0x6C: [694,11,256,87,312],         // LATIN SMALL LETTER L
-    0x6D: [443,11,818,75,851],         // LATIN SMALL LETTER M
-    0x6E: [443,11,562,75,595],         // LATIN SMALL LETTER N
+    0x6D: [442,11,818,75,851],         // LATIN SMALL LETTER M
+    0x6E: [442,11,562,75,595],         // LATIN SMALL LETTER N
     0x6F: [442,11,511,103,517],        // LATIN SMALL LETTER O
-    0x70: [442,194,511,5,518],         // LATIN SMALL LETTER P
-    0x71: [442,195,460,100,504],       // LATIN SMALL LETTER Q
+    0x70: [442,194,511,6,518],         // LATIN SMALL LETTER P
+    0x71: [442,194,460,101,504],       // LATIN SMALL LETTER Q
     0x72: [442,11,422,75,484],         // LATIN SMALL LETTER R
     0x73: [442,11,409,76,418],         // LATIN SMALL LETTER S
-    0x74: [627,11,332,87,373],         // LATIN SMALL LETTER T
+    0x74: [626,11,332,87,373],         // LATIN SMALL LETTER T
     0x75: [441,11,537,75,570],         // LATIN SMALL LETTER U
     0x76: [443,10,460,75,492],         // LATIN SMALL LETTER V
-    0x77: [443,12,664,74,696],         // LATIN SMALL LETTER W
+    0x77: [443,11,664,75,696],         // LATIN SMALL LETTER W
     0x78: [442,11,464,58,513],         // LATIN SMALL LETTER X
-    0x79: [441,206,486,75,522],        // LATIN SMALL LETTER Y
+    0x79: [441,205,486,75,522],        // LATIN SMALL LETTER Y
     0x7A: [442,11,409,54,466],         // LATIN SMALL LETTER Z
     0x7E: [318,-208,511,246,571],      // TILDE
-    0xA3: [714,11,769,87,699],         // POUND SIGN
+    0xA3: [714,11,769,88,699],         // POUND SIGN
     0x131: [441,10,307,75,340],        // LATIN SMALL LETTER DOTLESS I
-    0x237: [442,205,332,-32,327],      // LATIN SMALL LETTER DOTLESS J
-    0x393: [680,0,627,54,706],         // GREEK CAPITAL LETTER GAMMA
-    0x394: [717,1,818,70,751],         // GREEK CAPITAL LETTER DELTA
+    0x237: [442,204,332,-32,327],      // LATIN SMALL LETTER DOTLESS J
+    0x393: [680,0,627,54,705],         // GREEK CAPITAL LETTER GAMMA
+    0x394: [716,0,818,70,751],         // GREEK CAPITAL LETTER DELTA
     0x398: [704,22,767,149,788],       // GREEK CAPITAL LETTER THETA
-    0x39B: [717,0,692,58,646],         // GREEK CAPITAL LETTER LAMDA
-    0x39E: [678,1,664,74,754],         // GREEK CAPITAL LETTER XI
+    0x39B: [716,0,692,58,646],         // GREEK CAPITAL LETTER LAMDA
+    0x39E: [677,0,664,74,754],         // GREEK CAPITAL LETTER XI
     0x3A0: [680,0,743,54,859],         // GREEK CAPITAL LETTER PI
-    0x3A3: [683,1,716,80,782],         // GREEK CAPITAL LETTER SIGMA
-    0x3A5: [706,0,767,213,833],        // GREEK CAPITAL LETTER UPSILON
-    0x3A6: [683,1,716,158,728],        // GREEK CAPITAL LETTER PHI
+    0x3A3: [683,0,716,80,782],         // GREEK CAPITAL LETTER SIGMA
+    0x3A5: [705,0,767,213,832],        // GREEK CAPITAL LETTER UPSILON
+    0x3A6: [683,0,716,159,728],        // GREEK CAPITAL LETTER PHI
     0x3A8: [683,0,767,207,824],        // GREEK CAPITAL LETTER PSI
     0x3A9: [705,0,716,100,759]         // GREEK CAPITAL LETTER OMEGA
   };
@@ -898,7 +898,7 @@
   HTMLCSS.FONTDATA.FONTS['MathJax_Main'] = {
     directory: 'Main/Regular',
     family: 'MathJax_Main',
-    testString: "MathJax Main",
+    testString: "MathJax Main ^ \u210F \u2223",
     skew: {
       0x131: 0.0278,
       0x237: 0.0833,
@@ -915,62 +915,62 @@
     0x20: [0,0,250,0,0],               // SPACE
     0x21: [716,-1,278,78,199],         // EXCLAMATION MARK
     0x22: [694,-379,500,34,372],       // QUOTATION MARK
-    0x23: [694,194,833,55,778],        // NUMBER SIGN
-    0x24: [750,56,500,54,444],         // DOLLAR SIGN
+    0x23: [694,194,833,56,777],        // NUMBER SIGN
+    0x24: [750,56,500,55,444],         // DOLLAR SIGN
     0x25: [750,56,833,56,776],         // PERCENT SIGN
-    0x26: [717,22,778,42,727],         // AMPERSAND
+    0x26: [716,22,778,42,727],         // AMPERSAND
     0x27: [694,-379,278,78,212],       // APOSTROPHE
-    0x28: [751,251,389,94,333],        // LEFT PARENTHESIS
+    0x28: [750,250,389,94,333],        // LEFT PARENTHESIS
     0x29: [750,250,389,55,294],        // RIGHT PARENTHESIS
-    0x2A: [750,-319,500,64,435],       // ASTERISK
-    0x2B: [583,83,778,55,722],         // PLUS SIGN
+    0x2A: [750,-320,500,64,435],       // ASTERISK
+    0x2B: [583,82,778,56,722],         // PLUS SIGN
     0x2C: [121,194,278,78,210],        // COMMA
     0x2D: [252,-179,333,11,277],       // HYPHEN-MINUS
     0x2E: [120,0,278,78,199],          // FULL STOP
-    0x2F: [751,250,500,56,445],        // SOLIDUS
+    0x2F: [750,250,500,56,445],        // SOLIDUS
     0x30: [666,22,500,39,460],         // DIGIT ZERO
     0x31: [666,0,500,83,427],          // DIGIT ONE
-    0x32: [666,1,500,49,449],          // DIGIT TWO
-    0x33: [665,23,500,41,457],         // DIGIT THREE
+    0x32: [666,0,500,50,449],          // DIGIT TWO
+    0x33: [665,22,500,42,457],         // DIGIT THREE
     0x34: [677,0,500,28,471],          // DIGIT FOUR
-    0x35: [666,22,500,49,449],         // DIGIT FIVE
+    0x35: [666,22,500,50,449],         // DIGIT FIVE
     0x36: [666,22,500,42,456],         // DIGIT SIX
     0x37: [676,22,500,55,485],         // DIGIT SEVEN
     0x38: [666,22,500,43,457],         // DIGIT EIGHT
-    0x39: [666,22,500,41,456],         // DIGIT NINE
+    0x39: [666,22,500,42,456],         // DIGIT NINE
     0x3A: [430,0,278,78,199],          // COLON
     0x3B: [430,194,278,78,202],        // SEMICOLON
     0x3C: [540,40,778,83,694],         // LESS-THAN SIGN
-    0x3D: [367,-133,778,55,722],       // EQUALS SIGN
-    0x3E: [540,40,778,82,694],         // GREATER-THAN SIGN
-    0x3F: [706,-1,472,55,416],         // QUESTION MARK
+    0x3D: [367,-133,778,56,722],       // EQUALS SIGN
+    0x3E: [540,40,778,83,694],         // GREATER-THAN SIGN
+    0x3F: [705,-1,472,55,416],         // QUESTION MARK
     0x40: [705,11,778,56,722],         // COMMERCIAL AT
-    0x41: [717,0,750,32,717],          // LATIN CAPITAL LETTER A
-    0x42: [684,0,708,28,651],          // LATIN CAPITAL LETTER B
-    0x43: [706,21,722,56,666],         // LATIN CAPITAL LETTER C
+    0x41: [716,0,750,32,717],          // LATIN CAPITAL LETTER A
+    0x42: [683,0,708,28,651],          // LATIN CAPITAL LETTER B
+    0x43: [705,21,722,56,666],         // LATIN CAPITAL LETTER C
     0x44: [683,0,764,27,708],          // LATIN CAPITAL LETTER D
-    0x45: [680,0,681,24,652],          // LATIN CAPITAL LETTER E
-    0x46: [680,0,653,25,611],          // LATIN CAPITAL LETTER F
-    0x47: [706,22,785,56,735],         // LATIN CAPITAL LETTER G
+    0x45: [680,0,681,25,652],          // LATIN CAPITAL LETTER E
+    0x46: [680,0,653,25,610],          // LATIN CAPITAL LETTER F
+    0x47: [705,22,785,56,735],         // LATIN CAPITAL LETTER G
     0x48: [683,0,750,25,724],          // LATIN CAPITAL LETTER H
     0x49: [683,0,361,21,339],          // LATIN CAPITAL LETTER I
     0x4A: [683,22,514,25,465],         // LATIN CAPITAL LETTER J
-    0x4B: [683,0,778,24,736],          // LATIN CAPITAL LETTER K
+    0x4B: [683,0,778,25,736],          // LATIN CAPITAL LETTER K
     0x4C: [683,0,625,25,582],          // LATIN CAPITAL LETTER L
     0x4D: [683,0,917,29,887],          // LATIN CAPITAL LETTER M
     0x4E: [683,0,750,25,724],          // LATIN CAPITAL LETTER N
     0x4F: [705,22,778,56,722],         // LATIN CAPITAL LETTER O
-    0x50: [684,0,681,27,624],          // LATIN CAPITAL LETTER P
+    0x50: [683,0,681,27,624],          // LATIN CAPITAL LETTER P
     0x51: [705,193,778,56,728],        // LATIN CAPITAL LETTER Q
-    0x52: [684,22,736,27,732],         // LATIN CAPITAL LETTER R
-    0x53: [706,23,556,55,500],         // LATIN CAPITAL LETTER S
+    0x52: [683,22,736,27,732],         // LATIN CAPITAL LETTER R
+    0x53: [705,22,556,55,500],         // LATIN CAPITAL LETTER S
     0x54: [677,0,722,36,685],          // LATIN CAPITAL LETTER T
-    0x55: [684,22,750,25,724],         // LATIN CAPITAL LETTER U
-    0x56: [683,23,750,19,730],         // LATIN CAPITAL LETTER V
-    0x57: [683,23,1028,18,1009],       // LATIN CAPITAL LETTER W
-    0x58: [683,1,750,23,727],          // LATIN CAPITAL LETTER X
-    0x59: [684,0,750,11,738],          // LATIN CAPITAL LETTER Y
-    0x5A: [683,1,611,55,560],          // LATIN CAPITAL LETTER Z
+    0x55: [683,22,750,25,724],         // LATIN CAPITAL LETTER U
+    0x56: [683,22,750,19,730],         // LATIN CAPITAL LETTER V
+    0x57: [683,22,1028,18,1009],       // LATIN CAPITAL LETTER W
+    0x58: [683,0,750,23,726],          // LATIN CAPITAL LETTER X
+    0x59: [683,0,750,11,738],          // LATIN CAPITAL LETTER Y
+    0x5A: [683,0,611,55,560],          // LATIN CAPITAL LETTER Z
     0x5B: [750,250,278,118,255],       // LEFT SQUARE BRACKET
     0x5C: [750,250,500,56,444],        // REVERSE SOLIDUS
     0x5D: [750,250,278,22,159],        // RIGHT SQUARE BRACKET
@@ -982,40 +982,40 @@
     0x63: [448,11,444,34,415],         // LATIN SMALL LETTER C
     0x64: [694,11,556,34,535],         // LATIN SMALL LETTER D
     0x65: [448,11,444,28,415],         // LATIN SMALL LETTER E
-    0x66: [705,0,306,25,372],          // LATIN SMALL LETTER F
+    0x66: [705,0,306,26,372],          // LATIN SMALL LETTER F
     0x67: [453,206,500,29,485],        // LATIN SMALL LETTER G
-    0x68: [695,0,556,25,543],          // LATIN SMALL LETTER H
+    0x68: [694,0,556,25,542],          // LATIN SMALL LETTER H
     0x69: [669,0,278,26,255],          // LATIN SMALL LETTER I
     0x6A: [669,205,306,-55,218],       // LATIN SMALL LETTER J
-    0x6B: [695,0,528,20,512],          // LATIN SMALL LETTER K
+    0x6B: [694,0,528,20,511],          // LATIN SMALL LETTER K
     0x6C: [694,0,278,26,263],          // LATIN SMALL LETTER L
-    0x6D: [443,0,833,25,820],          // LATIN SMALL LETTER M
-    0x6E: [443,0,556,25,543],          // LATIN SMALL LETTER N
+    0x6D: [442,0,833,25,819],          // LATIN SMALL LETTER M
+    0x6E: [442,0,556,25,542],          // LATIN SMALL LETTER N
     0x6F: [448,10,500,28,471],         // LATIN SMALL LETTER O
-    0x70: [443,194,556,20,522],        // LATIN SMALL LETTER P
+    0x70: [442,194,556,20,522],        // LATIN SMALL LETTER P
     0x71: [442,194,528,33,535],        // LATIN SMALL LETTER Q
     0x72: [442,0,392,20,364],          // LATIN SMALL LETTER R
-    0x73: [449,12,394,32,359],         // LATIN SMALL LETTER S
-    0x74: [615,10,389,18,334],         // LATIN SMALL LETTER T
+    0x73: [448,11,394,33,359],         // LATIN SMALL LETTER S
+    0x74: [615,10,389,18,333],         // LATIN SMALL LETTER T
     0x75: [442,11,556,25,542],         // LATIN SMALL LETTER U
     0x76: [431,11,528,19,508],         // LATIN SMALL LETTER V
-    0x77: [432,12,722,18,704],         // LATIN SMALL LETTER W
-    0x78: [431,0,528,10,516],          // LATIN SMALL LETTER X
+    0x77: [431,11,722,18,703],         // LATIN SMALL LETTER W
+    0x78: [431,0,528,11,516],          // LATIN SMALL LETTER X
     0x79: [431,204,528,19,508],        // LATIN SMALL LETTER Y
     0x7A: [431,0,444,28,401],          // LATIN SMALL LETTER Z
-    0x7B: [750,250,500,64,434],        // LEFT CURLY BRACKET
-    0x7C: [750,250,278,119,159],       // VERTICAL LINE
-    0x7D: [750,250,500,64,435],        // RIGHT CURLY BRACKET
+    0x7B: [750,250,500,65,434],        // LEFT CURLY BRACKET
+    0x7C: [750,249,278,119,159],       // VERTICAL LINE
+    0x7D: [750,250,500,65,434],        // RIGHT CURLY BRACKET
     0x7E: [318,-215,500,83,416],       // TILDE
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
     0xA8: [669,-554,500,95,404],       // DIAERESIS
-    0xAC: [356,-89,667,55,611],        // NOT SIGN
+    0xAC: [356,-89,667,56,611],        // NOT SIGN
     0xAF: [590,-544,500,69,430],       // MACRON
     0xB0: [715,-542,500,147,352],      // DEGREE SIGN
-    0xB1: [666,0,778,55,722],          // PLUS-MINUS SIGN
+    0xB1: [666,0,778,56,722],          // PLUS-MINUS SIGN
     0xB4: [699,-505,500,203,393],      // ACUTE ACCENT
-    0xD7: [491,-9,778,147,631],        // MULTIPLICATION SIGN
-    0xF7: [537,36,778,55,721],         // DIVISION SIGN
+    0xD7: [491,-9,778,147,630],        // MULTIPLICATION SIGN
+    0xF7: [537,36,778,56,721],         // DIVISION SIGN
     0x131: [442,0,278,26,255],         // LATIN SMALL LETTER DOTLESS I
     0x237: [442,205,306,-55,218],      // LATIN SMALL LETTER DOTLESS J
     0x2C6: [694,-531,500,112,387],     // MODIFIER LETTER CIRCUMFLEX ACCENT
@@ -1026,17 +1026,17 @@
     0x2D8: [694,-515,500,92,407],      // BREVE
     0x2D9: [669,-549,500,190,309],     // DOT ABOVE
     0x2DC: [668,-565,500,83,416],      // SMALL TILDE
-    0x393: [681,0,625,25,582],         // GREEK CAPITAL LETTER GAMMA
+    0x393: [680,0,625,25,582],         // GREEK CAPITAL LETTER GAMMA
     0x394: [716,0,833,46,786],         // GREEK CAPITAL LETTER DELTA
     0x398: [705,22,778,56,722],        // GREEK CAPITAL LETTER THETA
-    0x39B: [717,0,694,32,661],         // GREEK CAPITAL LETTER LAMDA
+    0x39B: [716,0,694,32,661],         // GREEK CAPITAL LETTER LAMDA
     0x39E: [677,0,667,42,624],         // GREEK CAPITAL LETTER XI
     0x3A0: [680,0,750,25,724],         // GREEK CAPITAL LETTER PI
-    0x3A3: [683,1,722,55,666],         // GREEK CAPITAL LETTER SIGMA
+    0x3A3: [683,0,722,55,666],         // GREEK CAPITAL LETTER SIGMA
     0x3A5: [705,0,778,55,722],         // GREEK CAPITAL LETTER UPSILON
     0x3A6: [683,0,722,56,665],         // GREEK CAPITAL LETTER PHI
-    0x3A8: [683,0,778,54,722],         // GREEK CAPITAL LETTER PSI
-    0x3A9: [704,1,722,44,677],         // GREEK CAPITAL LETTER OMEGA
+    0x3A8: [683,0,778,55,722],         // GREEK CAPITAL LETTER PSI
+    0x3A9: [704,0,722,44,677],         // GREEK CAPITAL LETTER OMEGA
     0x2002: [0,0,500,0,0],             // ??
     0x2003: [0,0,999,0,0],             // ??
     0x2004: [0,0,333,0,0],             // ??
@@ -1050,66 +1050,66 @@
     0x2019: [694,-379,278,78,212],     // RIGHT SINGLE QUOTATION MARK
     0x201C: [694,-379,500,128,466],    // LEFT DOUBLE QUOTATION MARK
     0x201D: [694,-379,500,34,372],     // RIGHT DOUBLE QUOTATION MARK
-    0x2020: [705,217,444,55,390],      // DAGGER
-    0x2021: [705,206,444,55,389],      // DOUBLE DAGGER
+    0x2020: [705,216,444,55,389],      // DAGGER
+    0x2021: [705,205,444,55,389],      // DOUBLE DAGGER
     0x2026: [120,0,1172,78,1093],      // HORIZONTAL ELLIPSIS
     0x2032: [560,-43,275,30,262],      // PRIME
     0x20D7: [714,-516,0,-471,-29],     // COMBINING RIGHT ARROW ABOVE
     0x210F: [695,13,540,42,562],       // stix-/hbar - Planck's over 2pi
-    0x2111: [705,11,722,54,693],       // BLACK-LETTER CAPITAL I
-    0x2113: [706,20,417,6,398],        // SCRIPT SMALL L
+    0x2111: [705,10,722,55,693],       // BLACK-LETTER CAPITAL I
+    0x2113: [705,20,417,6,397],        // SCRIPT SMALL L
     0x2118: [453,216,636,67,625],      // SCRIPT CAPITAL P
-    0x211C: [717,22,722,40,716],       // BLACK-LETTER CAPITAL R
-    0x2135: [694,1,611,54,556],        // ALEF SYMBOL
-    0x2190: [511,12,1000,54,944],      // LEFTWARDS ARROW
-    0x2191: [694,194,500,17,483],      // UPWARDS ARROW
-    0x2192: [512,11,1000,55,945],      // RIGHTWARDS ARROW
+    0x211C: [716,22,722,40,715],       // BLACK-LETTER CAPITAL R
+    0x2135: [694,0,611,55,555],        // ALEF SYMBOL
+    0x2190: [511,11,1000,55,944],      // LEFTWARDS ARROW
+    0x2191: [694,193,500,17,483],      // UPWARDS ARROW
+    0x2192: [511,11,1000,56,944],      // RIGHTWARDS ARROW
     0x2193: [694,194,500,17,483],      // DOWNWARDS ARROW
-    0x2194: [511,11,1000,55,945],      // LEFT RIGHT ARROW
+    0x2194: [511,11,1000,55,944],      // LEFT RIGHT ARROW
     0x2195: [772,272,500,17,483],      // UP DOWN ARROW
-    0x2196: [720,196,1000,29,944],     // NORTH WEST ARROW
+    0x2196: [720,195,1000,29,944],     // NORTH WEST ARROW
     0x2197: [720,195,1000,55,970],     // NORTH EAST ARROW
     0x2198: [695,220,1000,55,970],     // SOUTH EAST ARROW
     0x2199: [695,220,1000,29,944],     // SOUTH WEST ARROW
-    0x21A6: [512,11,1000,54,945],      // RIGHTWARDS ARROW FROM BAR
-    0x21A9: [511,12,1126,54,1070],     // LEFTWARDS ARROW WITH HOOK
-    0x21AA: [512,11,1126,55,1071],     // RIGHTWARDS ARROW WITH HOOK
+    0x21A6: [511,11,1000,55,944],      // RIGHTWARDS ARROW FROM BAR
+    0x21A9: [511,11,1126,55,1070],     // LEFTWARDS ARROW WITH HOOK
+    0x21AA: [511,11,1126,55,1070],     // RIGHTWARDS ARROW WITH HOOK
     0x21BC: [511,-230,1000,55,944],    // LEFTWARDS HARPOON WITH BARB UPWARDS
     0x21BD: [270,11,1000,55,944],      // LEFTWARDS HARPOON WITH BARB DOWNWARDS
-    0x21C0: [511,-230,1000,55,944],    // RIGHTWARDS HARPOON WITH BARB UPWARDS
-    0x21C1: [270,11,1000,55,945],      // RIGHTWARDS HARPOON WITH BARB DOWNWARDS
+    0x21C0: [511,-230,1000,56,944],    // RIGHTWARDS HARPOON WITH BARB UPWARDS
+    0x21C1: [270,11,1000,56,944],      // RIGHTWARDS HARPOON WITH BARB DOWNWARDS
     0x21CC: [671,11,1000,55,944],      // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON
-    0x21D0: [525,24,1000,55,944],      // LEFTWARDS DOUBLE ARROW
+    0x21D0: [525,24,1000,56,944],      // LEFTWARDS DOUBLE ARROW
     0x21D1: [694,194,611,31,579],      // UPWARDS DOUBLE ARROW
-    0x21D2: [525,25,1000,55,944],      // RIGHTWARDS DOUBLE ARROW
+    0x21D2: [525,24,1000,56,944],      // RIGHTWARDS DOUBLE ARROW
     0x21D3: [694,194,611,31,579],      // DOWNWARDS DOUBLE ARROW
-    0x21D4: [525,25,1000,34,966],      // LEFT RIGHT DOUBLE ARROW
-    0x21D5: [772,272,611,31,580],      // UP DOWN DOUBLE ARROW
+    0x21D4: [526,25,1000,34,966],      // LEFT RIGHT DOUBLE ARROW
+    0x21D5: [772,272,611,31,579],      // UP DOWN DOUBLE ARROW
     0x2200: [694,22,556,0,556],        // FOR ALL
-    0x2202: [715,22,531,41,566],       // PARTIAL DIFFERENTIAL
-    0x2203: [694,0,556,55,500],        // THERE EXISTS
+    0x2202: [715,22,531,42,566],       // PARTIAL DIFFERENTIAL
+    0x2203: [694,0,556,56,500],        // THERE EXISTS
     0x2205: [772,78,500,39,460],       // EMPTY SET
     0x2207: [683,33,833,46,786],       // NABLA
-    0x2208: [541,41,667,84,584],       // ELEMENT OF
-    0x2209: [716,215,667,84,584],      // stix-negated (vert) set membership, variant
-    0x220B: [541,40,667,83,582],       // CONTAINS AS MEMBER
-    0x2212: [270,-230,778,83,694],     // MINUS SIGN
-    0x2213: [500,167,778,55,722],      // MINUS-OR-PLUS SIGN
-    0x2215: [751,250,500,56,445],      // DIVISION SLASH
+    0x2208: [540,40,667,84,583],       // ELEMENT OF
+    0x2209: [716,215,667,84,583],      // stix-negated (vert) set membership, variant
+    0x220B: [540,40,667,83,582],       // CONTAINS AS MEMBER
+    0x2212: [270,-230,778,84,694],     // MINUS SIGN
+    0x2213: [500,166,778,56,722],      // MINUS-OR-PLUS SIGN
+    0x2215: [750,250,500,56,445],      // DIVISION SLASH
     0x2216: [750,250,500,56,444],      // SET MINUS
-    0x2217: [465,-34,500,64,435],      // ASTERISK OPERATOR
+    0x2217: [465,-35,500,64,435],      // ASTERISK OPERATOR
     0x2218: [444,-55,500,55,444],      // RING OPERATOR
     0x2219: [444,-55,500,55,444],      // BULLET OPERATOR
     0x221A: [800,200,833,72,853],      // SQUARE ROOT
     0x221D: [442,11,778,56,722],       // PROPORTIONAL TO
     0x221E: [442,11,1000,55,944],      // INFINITY
     0x2220: [694,0,722,55,666],        // ANGLE
-    0x2223: [750,250,278,119,159],     // DIVIDES
+    0x2223: [750,249,278,119,159],     // DIVIDES
     0x2225: [750,250,500,132,367],     // PARALLEL TO
     0x2227: [598,22,667,55,611],       // LOGICAL AND
     0x2228: [598,22,667,55,611],       // LOGICAL OR
     0x2229: [598,22,667,55,611],       // stix-intersection, serifs
-    0x222A: [599,22,667,55,611],       // stix-union, serifs
+    0x222A: [598,22,667,55,611],       // stix-union, serifs
     0x222B: [716,216,417,55,472],      // INTEGRAL
     0x223C: [367,-133,778,55,722],     // TILDE OPERATOR
     0x2240: [583,83,278,55,222],       // WREATH PRODUCT
@@ -1117,22 +1117,22 @@
     0x2245: [589,-22,1000,55,722],     // APPROXIMATELY EQUAL TO
     0x2248: [483,-55,778,55,722],      // ALMOST EQUAL TO
     0x224D: [484,-16,778,55,722],      // EQUIVALENT TO
-    0x2250: [670,-133,778,55,722],     // APPROACHES THE LIMIT
-    0x2260: [716,215,778,55,722],      // stix-not (vert) equals
-    0x2261: [464,-36,778,55,722],      // IDENTICAL TO
+    0x2250: [670,-133,778,56,722],     // APPROACHES THE LIMIT
+    0x2260: [716,215,778,56,722],      // stix-not (vert) equals
+    0x2261: [464,-36,778,56,722],      // IDENTICAL TO
     0x2264: [636,138,778,83,694],      // LESS-THAN OR EQUAL TO
-    0x2265: [636,138,778,82,694],      // GREATER-THAN OR EQUAL TO
-    0x226A: [568,68,1000,56,944],      // MUCH LESS-THAN
-    0x226B: [567,67,1000,55,945],      // MUCH GREATER-THAN
-    0x227A: [539,41,778,84,695],       // PRECEDES
+    0x2265: [636,138,778,83,694],      // GREATER-THAN OR EQUAL TO
+    0x226A: [568,67,1000,56,944],      // MUCH LESS-THAN
+    0x226B: [567,67,1000,55,944],      // MUCH GREATER-THAN
+    0x227A: [539,41,778,84,694],       // PRECEDES
     0x227B: [539,41,778,83,694],       // SUCCEEDS
-    0x2282: [540,41,778,84,695],       // SUBSET OF
-    0x2283: [541,40,778,82,693],       // SUPERSET OF
-    0x2286: [636,139,778,84,695],      // SUBSET OF OR EQUAL TO
-    0x2287: [637,138,778,83,693],      // SUPERSET OF OR EQUAL TO
-    0x228E: [599,22,667,55,611],       // MULTISET UNION
-    0x2291: [636,138,778,83,714],      // SQUARE IMAGE OF OR EQUAL TO
-    0x2292: [636,138,778,63,694],      // SQUARE ORIGINAL OF OR EQUAL TO
+    0x2282: [540,40,778,84,694],       // SUBSET OF
+    0x2283: [540,40,778,83,693],       // SUPERSET OF
+    0x2286: [636,138,778,84,694],      // SUBSET OF OR EQUAL TO
+    0x2287: [636,138,778,83,693],      // SUPERSET OF OR EQUAL TO
+    0x228E: [598,22,667,55,611],       // MULTISET UNION
+    0x2291: [636,138,778,84,714],      // SQUARE IMAGE OF OR EQUAL TO
+    0x2292: [636,138,778,64,694],      // SQUARE ORIGINAL OF OR EQUAL TO
     0x2293: [598,0,667,61,605],        // stix-square intersection, serifs
     0x2294: [598,0,667,61,605],        // stix-square union, serifs
     0x2295: [583,83,778,56,722],       // stix-circled plus (with rim)
@@ -1144,35 +1144,35 @@
     0x22A3: [694,0,611,55,555],        // LEFT TACK
     0x22A4: [668,0,778,55,723],        // DOWN TACK
     0x22A5: [668,0,778,55,723],        // UP TACK
-    0x22A8: [750,250,867,119,811],     // TRUE
+    0x22A8: [750,249,867,119,811],     // TRUE
     0x22C4: [488,-12,500,12,488],      // DIAMOND OPERATOR
     0x22C5: [310,-190,278,78,199],     // DOT OPERATOR
     0x22C6: [486,-16,500,3,497],       // STAR OPERATOR
-    0x22C8: [505,6,900,25,873],        // BOWTIE
+    0x22C8: [505,5,900,26,873],        // BOWTIE
     0x22EE: [900,30,278,78,199],       // VERTICAL ELLIPSIS
     0x22EF: [310,-190,1172,78,1093],   // MIDLINE HORIZONTAL ELLIPSIS
     0x22F1: [820,-100,1282,133,1148],  // DOWN RIGHT DIAGONAL ELLIPSIS
-    0x2308: [751,250,444,174,422],     // LEFT CEILING
-    0x2309: [751,250,444,21,269],      // RIGHT CEILING
-    0x230A: [750,251,444,174,422],     // LEFT FLOOR
-    0x230B: [751,251,444,20,269],      // RIGHT FLOOR
+    0x2308: [750,250,444,174,422],     // LEFT CEILING
+    0x2309: [750,250,444,21,269],      // RIGHT CEILING
+    0x230A: [750,250,444,174,422],     // LEFT FLOOR
+    0x230B: [750,250,444,21,269],      // RIGHT FLOOR
     0x2322: [388,-122,1000,55,944],    // stix-small down curve
     0x2323: [378,-134,1000,55,944],    // stix-small up curve
-    0x23B0: [744,245,412,55,357],      // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION
-    0x23B1: [745,244,412,55,357],      // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION
+    0x23B0: [744,244,412,55,357],      // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION
+    0x23B1: [744,244,412,56,357],      // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION
     0x27E8: [750,250,389,110,333],     // MATHEMATICAL LEFT ANGLE BRACKET
     0x27E9: [750,250,389,55,278],      // MATHEMATICAL RIGHT ANGLE BRACKET
-    0x27EE: [744,245,412,173,357],     // MATHEMATICAL LEFT FLATTENED PARENTHESIS
-    0x27EF: [744,245,412,55,240],      // MATHEMATICAL RIGHT FLATTENED PARENTHESIS
-    0x27F5: [511,12,1609,54,1525],     // LONG LEFTWARDS ARROW
-    0x27F6: [512,11,1638,83,1554],     // LONG RIGHTWARDS ARROW
-    0x27F7: [512,12,1859,54,1804],     // LONG LEFT RIGHT ARROW
-    0x27F8: [525,24,1609,55,1553],     // LONG LEFTWARDS DOUBLE ARROW
-    0x27F9: [525,25,1638,55,1582],     // LONG RIGHTWARDS DOUBLE ARROW
-    0x27FA: [525,24,1858,55,1802],     // LONG LEFT RIGHT DOUBLE ARROW
-    0x27FC: [512,11,1638,54,1554],     // LONG RIGHTWARDS ARROW FROM BAR
-    0x2A3F: [684,0,750,28,721],        // AMALGAMATION OR COPRODUCT
-    0x2AAF: [636,138,778,83,695],      // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN
+    0x27EE: [744,244,412,173,357],     // MATHEMATICAL LEFT FLATTENED PARENTHESIS
+    0x27EF: [744,244,412,56,240],      // MATHEMATICAL RIGHT FLATTENED PARENTHESIS
+    0x27F5: [511,11,1609,55,1525],     // LONG LEFTWARDS ARROW
+    0x27F6: [511,11,1638,84,1553],     // LONG RIGHTWARDS ARROW
+    0x27F7: [511,11,1859,55,1803],     // LONG LEFT RIGHT ARROW
+    0x27F8: [525,24,1609,56,1553],     // LONG LEFTWARDS DOUBLE ARROW
+    0x27F9: [525,24,1638,56,1582],     // LONG RIGHTWARDS DOUBLE ARROW
+    0x27FA: [525,24,1858,56,1802],     // LONG LEFT RIGHT DOUBLE ARROW
+    0x27FC: [511,11,1638,55,1553],     // LONG RIGHTWARDS ARROW FROM BAR
+    0x2A3F: [683,0,750,28,721],        // AMALGAMATION OR COPRODUCT
+    0x2AAF: [636,138,778,84,694],      // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN
     0x2AB0: [636,138,778,83,694]       // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN
   };
 
@@ -1180,7 +1180,7 @@
     directory: 'Math/Italic',
     family: 'MathJax_Math',
     style: 'italic',
-    testString: "MathJax Math",
+    testString: "MathJax Math \u03A5",
     skew: {
       0x41: 0.139,
       0x42: 0.0833,
@@ -1261,44 +1261,44 @@
     },
     0x20: [0,0,250,0,0],               // SPACE
     0x2F: [716,215,778,139,638],       // SOLIDUS
-    0x41: [717,0,750,35,727],          // LATIN CAPITAL LETTER A
+    0x41: [716,0,750,35,726],          // LATIN CAPITAL LETTER A
     0x42: [683,0,759,35,756],          // LATIN CAPITAL LETTER B
     0x43: [705,22,715,50,760],         // LATIN CAPITAL LETTER C
-    0x44: [683,1,828,32,804],          // LATIN CAPITAL LETTER D
-    0x45: [680,1,738,30,764],          // LATIN CAPITAL LETTER E
-    0x46: [681,0,643,30,749],          // LATIN CAPITAL LETTER F
+    0x44: [683,0,828,33,803],          // LATIN CAPITAL LETTER D
+    0x45: [680,0,738,31,764],          // LATIN CAPITAL LETTER E
+    0x46: [680,0,643,31,749],          // LATIN CAPITAL LETTER F
     0x47: [705,22,786,50,760],         // LATIN CAPITAL LETTER G
-    0x48: [683,0,831,31,889],          // LATIN CAPITAL LETTER H
-    0x49: [684,0,440,26,504],          // LATIN CAPITAL LETTER I
+    0x48: [683,0,831,31,888],          // LATIN CAPITAL LETTER H
+    0x49: [683,0,440,26,504],          // LATIN CAPITAL LETTER I
     0x4A: [683,22,555,57,633],         // LATIN CAPITAL LETTER J
-    0x4B: [684,0,849,31,889],          // LATIN CAPITAL LETTER K
-    0x4C: [684,1,681,32,647],          // LATIN CAPITAL LETTER L
-    0x4D: [684,0,970,35,1051],         // LATIN CAPITAL LETTER M
-    0x4E: [684,0,803,31,888],          // LATIN CAPITAL LETTER N
+    0x4B: [683,0,849,31,889],          // LATIN CAPITAL LETTER K
+    0x4C: [683,0,681,32,647],          // LATIN CAPITAL LETTER L
+    0x4D: [683,0,970,35,1051],         // LATIN CAPITAL LETTER M
+    0x4E: [683,0,803,31,888],          // LATIN CAPITAL LETTER N
     0x4F: [704,22,763,50,740],         // LATIN CAPITAL LETTER O
     0x50: [683,0,642,33,751],          // LATIN CAPITAL LETTER P
-    0x51: [704,195,791,50,740],        // LATIN CAPITAL LETTER Q
-    0x52: [683,22,759,33,755],         // LATIN CAPITAL LETTER R
+    0x51: [704,194,791,50,740],        // LATIN CAPITAL LETTER Q
+    0x52: [683,21,759,33,755],         // LATIN CAPITAL LETTER R
     0x53: [705,22,613,52,645],         // LATIN CAPITAL LETTER S
-    0x54: [678,0,584,21,705],          // LATIN CAPITAL LETTER T
-    0x55: [684,22,683,59,767],         // LATIN CAPITAL LETTER U
-    0x56: [683,23,583,52,769],         // LATIN CAPITAL LETTER V
-    0x57: [684,22,944,51,1048],        // LATIN CAPITAL LETTER W
-    0x58: [684,1,828,25,852],          // LATIN CAPITAL LETTER X
-    0x59: [683,-1,581,29,763],         // LATIN CAPITAL LETTER Y
-    0x5A: [684,1,683,58,724],          // LATIN CAPITAL LETTER Z
+    0x54: [677,0,584,21,704],          // LATIN CAPITAL LETTER T
+    0x55: [683,22,683,60,767],         // LATIN CAPITAL LETTER U
+    0x56: [683,22,583,52,769],         // LATIN CAPITAL LETTER V
+    0x57: [683,22,944,51,1048],        // LATIN CAPITAL LETTER W
+    0x58: [683,0,828,26,852],          // LATIN CAPITAL LETTER X
+    0x59: [683,-1,581,30,763],         // LATIN CAPITAL LETTER Y
+    0x5A: [683,0,683,58,723],          // LATIN CAPITAL LETTER Z
     0x61: [441,10,529,33,506],         // LATIN SMALL LETTER A
-    0x62: [694,11,429,39,422],         // LATIN SMALL LETTER B
+    0x62: [694,11,429,40,422],         // LATIN SMALL LETTER B
     0x63: [442,11,433,34,429],         // LATIN SMALL LETTER C
-    0x64: [694,10,520,33,524],         // LATIN SMALL LETTER D
+    0x64: [694,10,520,33,523],         // LATIN SMALL LETTER D
     0x65: [442,11,466,39,429],         // LATIN SMALL LETTER E
     0x66: [705,205,490,55,550],        // LATIN SMALL LETTER F
-    0x67: [443,205,477,10,480],        // LATIN SMALL LETTER G
+    0x67: [442,205,477,10,480],        // LATIN SMALL LETTER G
     0x68: [694,11,576,48,555],         // LATIN SMALL LETTER H
-    0x69: [661,11,345,21,303],         // LATIN SMALL LETTER I
+    0x69: [661,11,345,21,302],         // LATIN SMALL LETTER I
     0x6A: [661,204,412,-12,403],       // LATIN SMALL LETTER J
     0x6B: [694,11,521,48,503],         // LATIN SMALL LETTER K
-    0x6C: [694,11,298,38,267],         // LATIN SMALL LETTER L
+    0x6C: [694,11,298,38,266],         // LATIN SMALL LETTER L
     0x6D: [442,11,878,21,857],         // LATIN SMALL LETTER M
     0x6E: [442,11,600,21,580],         // LATIN SMALL LETTER N
     0x6F: [441,11,485,34,476],         // LATIN SMALL LETTER O
@@ -1309,52 +1309,52 @@
     0x74: [626,11,361,19,330],         // LATIN SMALL LETTER T
     0x75: [442,11,572,21,551],         // LATIN SMALL LETTER U
     0x76: [443,11,485,21,467],         // LATIN SMALL LETTER V
-    0x77: [444,11,716,20,690],         // LATIN SMALL LETTER W
-    0x78: [443,11,572,35,523],         // LATIN SMALL LETTER X
+    0x77: [443,11,716,21,690],         // LATIN SMALL LETTER W
+    0x78: [442,11,572,35,522],         // LATIN SMALL LETTER X
     0x79: [442,205,490,21,496],        // LATIN SMALL LETTER Y
-    0x7A: [442,12,465,35,468],         // LATIN SMALL LETTER Z
+    0x7A: [442,11,465,35,468],         // LATIN SMALL LETTER Z
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
     0x393: [680,-1,615,31,721],        // GREEK CAPITAL LETTER GAMMA
-    0x394: [716,1,833,48,788],         // GREEK CAPITAL LETTER DELTA
+    0x394: [716,0,833,48,788],         // GREEK CAPITAL LETTER DELTA
     0x398: [704,22,763,50,740],        // GREEK CAPITAL LETTER THETA
-    0x39B: [717,0,694,35,671],         // GREEK CAPITAL LETTER LAMDA
-    0x39E: [678,1,742,53,777],         // GREEK CAPITAL LETTER XI
-    0x3A0: [681,0,831,31,888],         // GREEK CAPITAL LETTER PI
+    0x39B: [716,0,694,35,670],         // GREEK CAPITAL LETTER LAMDA
+    0x39E: [677,0,742,53,777],         // GREEK CAPITAL LETTER XI
+    0x3A0: [680,0,831,31,887],         // GREEK CAPITAL LETTER PI
     0x3A3: [683,0,780,58,806],         // GREEK CAPITAL LETTER SIGMA
-    0x3A5: [706,0,583,28,701],         // GREEK CAPITAL LETTER UPSILON
-    0x3A6: [683,0,667,24,643],         // GREEK CAPITAL LETTER PHI
-    0x3A8: [684,0,612,21,693],         // GREEK CAPITAL LETTER PSI
+    0x3A5: [705,0,583,28,700],         // GREEK CAPITAL LETTER UPSILON
+    0x3A6: [683,0,667,24,642],         // GREEK CAPITAL LETTER PHI
+    0x3A8: [683,0,612,21,692],         // GREEK CAPITAL LETTER PSI
     0x3A9: [704,0,772,80,786],         // GREEK CAPITAL LETTER OMEGA
     0x3B1: [442,11,640,34,603],        // GREEK SMALL LETTER ALPHA
-    0x3B2: [706,194,566,23,573],       // GREEK SMALL LETTER BETA
+    0x3B2: [705,194,566,23,573],       // GREEK SMALL LETTER BETA
     0x3B3: [441,216,518,11,543],       // GREEK SMALL LETTER GAMMA
     0x3B4: [717,10,444,36,451],        // GREEK SMALL LETTER DELTA
-    0x3B5: [453,22,466,27,428],        // GREEK SMALL LETTER EPSILON
-    0x3B6: [704,204,438,44,472],       // GREEK SMALL LETTER ZETA
-    0x3B7: [442,216,497,21,504],       // GREEK SMALL LETTER ETA
+    0x3B5: [452,22,466,27,428],        // GREEK SMALL LETTER EPSILON
+    0x3B6: [704,204,438,44,471],       // GREEK SMALL LETTER ZETA
+    0x3B7: [442,216,497,21,503],       // GREEK SMALL LETTER ETA
     0x3B8: [705,10,469,35,462],        // GREEK SMALL LETTER THETA
     0x3B9: [442,10,354,48,332],        // GREEK SMALL LETTER IOTA
     0x3BA: [442,11,576,49,554],        // GREEK SMALL LETTER KAPPA
-    0x3BB: [694,12,583,46,556],        // GREEK SMALL LETTER LAMDA
-    0x3BC: [443,216,603,22,580],       // GREEK SMALL LETTER MU
+    0x3BB: [694,12,583,47,556],        // GREEK SMALL LETTER LAMDA
+    0x3BC: [442,216,603,23,580],       // GREEK SMALL LETTER MU
     0x3BD: [442,2,494,45,530],         // GREEK SMALL LETTER NU
     0x3BE: [704,205,438,21,443],       // GREEK SMALL LETTER XI
     0x3BF: [441,11,485,34,476],        // GREEK SMALL LETTER OMICRON
     0x3C0: [431,11,570,19,573],        // GREEK SMALL LETTER PI
-    0x3C1: [442,216,517,22,510],       // GREEK SMALL LETTER RHO
-    0x3C2: [442,108,363,31,405],       // GREEK SMALL LETTER FINAL SIGMA
+    0x3C1: [442,216,517,23,510],       // GREEK SMALL LETTER RHO
+    0x3C2: [442,107,363,31,405],       // GREEK SMALL LETTER FINAL SIGMA
     0x3C3: [431,11,571,31,572],        // GREEK SMALL LETTER SIGMA
-    0x3C4: [431,13,437,17,517],        // GREEK SMALL LETTER TAU
+    0x3C4: [431,13,437,18,517],        // GREEK SMALL LETTER TAU
     0x3C5: [443,10,540,21,523],        // GREEK SMALL LETTER UPSILON
-    0x3C6: [442,219,654,50,618],       // GREEK SMALL LETTER PHI
-    0x3C7: [442,204,626,24,601],       // GREEK SMALL LETTER CHI
+    0x3C6: [442,218,654,50,618],       // GREEK SMALL LETTER PHI
+    0x3C7: [442,204,626,25,600],       // GREEK SMALL LETTER CHI
     0x3C8: [694,205,651,21,634],       // GREEK SMALL LETTER PSI
-    0x3C9: [444,11,622,15,604],        // GREEK SMALL LETTER OMEGA
+    0x3C9: [443,11,622,15,604],        // GREEK SMALL LETTER OMEGA
     0x3D1: [705,11,591,21,563],        // GREEK THETA SYMBOL
-    0x3D5: [695,206,596,43,579],       // GREEK PHI SYMBOL
+    0x3D5: [694,205,596,43,579],       // GREEK PHI SYMBOL
     0x3D6: [431,10,828,19,823],        // GREEK PI SYMBOL
     0x3F1: [442,194,517,67,510],       // GREEK RHO SYMBOL
-    0x3F5: [432,11,406,39,383]         // GREEK LUNATE EPSILON SYMBOL
+    0x3F5: [431,11,406,40,382]         // GREEK LUNATE EPSILON SYMBOL
   };
 
   HTMLCSS.FONTDATA.FONTS['MathJax_Size1'] = {
@@ -1363,13 +1363,13 @@
     testString: "() [] {}",
     0x20: [0,0,250,0,0],               // SPACE
     0x28: [850,349,458,152,422],       // LEFT PARENTHESIS
-    0x29: [851,349,458,35,305],        // RIGHT PARENTHESIS
+    0x29: [850,349,458,35,305],        // RIGHT PARENTHESIS
     0x2F: [850,349,578,55,522],        // SOLIDUS
     0x5B: [850,349,417,202,394],       // LEFT SQUARE BRACKET
     0x5C: [850,349,578,54,522],        // REVERSE SOLIDUS
     0x5D: [850,349,417,22,214],        // RIGHT SQUARE BRACKET
-    0x7B: [850,349,583,104,477],       // LEFT CURLY BRACKET
-    0x7D: [851,349,583,104,477],       // RIGHT CURLY BRACKET
+    0x7B: [850,349,583,105,477],       // LEFT CURLY BRACKET
+    0x7D: [850,349,583,105,477],       // RIGHT CURLY BRACKET
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
     0x2C6: [744,-551,556,-8,564],      // MODIFIER LETTER CIRCUMFLEX ACCENT
     0x2DC: [722,-597,556,1,554],       // SMALL TILDE
@@ -1382,7 +1382,7 @@
     0x21D3: [600,-1,778,57,721],       // DOWNWARDS DOUBLE ARROW
     0x220F: [750,250,944,55,888],      // N-ARY PRODUCT
     0x2210: [750,250,944,55,888],      // N-ARY COPRODUCT
-    0x2211: [751,250,1056,56,999],     // N-ARY SUMMATION
+    0x2211: [750,250,1056,56,999],     // N-ARY SUMMATION
     0x221A: [850,350,1000,111,1020],   // SQUARE ROOT
     0x2223: [627,15,333,145,188],      // DIVIDES
     0x2225: [627,15,556,145,410],      // PARALLEL TO
@@ -1392,8 +1392,8 @@
     0x222E: [805,306,472,55,610],      // CONTOUR INTEGRAL
     0x22C0: [750,249,833,55,777],      // N-ARY LOGICAL AND
     0x22C1: [750,249,833,55,777],      // N-ARY LOGICAL OR
-    0x22C2: [750,249,833,54,777],      // N-ARY INTERSECTION
-    0x22C3: [750,250,833,55,777],      // N-ARY UNION
+    0x22C2: [750,249,833,55,777],      // N-ARY INTERSECTION
+    0x22C3: [750,249,833,55,777],      // N-ARY UNION
     0x2308: [850,349,472,202,449],     // LEFT CEILING
     0x2309: [850,349,472,22,269],      // RIGHT CEILING
     0x230A: [850,349,472,202,449],     // LEFT FLOOR
@@ -1404,7 +1404,7 @@
     0x2A00: [750,250,1111,56,1054],    // N-ARY CIRCLED DOT OPERATOR
     0x2A01: [750,250,1111,56,1054],    // N-ARY CIRCLED PLUS OPERATOR
     0x2A02: [750,250,1111,56,1054],    // N-ARY CIRCLED TIMES OPERATOR
-    0x2A04: [750,250,833,55,777],      // N-ARY UNION OPERATOR WITH PLUS
+    0x2A04: [750,249,833,55,777],      // N-ARY UNION OPERATOR WITH PLUS
     0x2A06: [750,249,833,55,777]       // N-ARY SQUARE UNION OPERATOR
   };
 
@@ -1414,13 +1414,13 @@
     testString: "() [] {}",
     0x20: [0,0,250,0,0],               // SPACE
     0x28: [1150,649,597,180,561],      // LEFT PARENTHESIS
-    0x29: [1151,649,597,35,416],       // RIGHT PARENTHESIS
-    0x2F: [1150,649,811,55,755],       // SOLIDUS
+    0x29: [1150,649,597,35,416],       // RIGHT PARENTHESIS
+    0x2F: [1150,649,811,56,754],       // SOLIDUS
     0x5B: [1150,649,472,224,455],      // LEFT SQUARE BRACKET
     0x5C: [1150,649,811,54,754],       // REVERSE SOLIDUS
     0x5D: [1150,649,472,16,247],       // RIGHT SQUARE BRACKET
     0x7B: [1150,649,667,119,547],      // LEFT CURLY BRACKET
-    0x7D: [1151,649,667,119,547],      // RIGHT CURLY BRACKET
+    0x7D: [1150,649,667,119,547],      // RIGHT CURLY BRACKET
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
     0x2C6: [772,-565,1000,-5,1004],    // MODIFIER LETTER CIRCUMFLEX ACCENT
     0x2DC: [750,-611,1000,0,999],      // SMALL TILDE
@@ -1431,8 +1431,8 @@
     0x2211: [950,450,1444,55,1388],    // N-ARY SUMMATION
     0x221A: [1150,650,1000,111,1020],  // SQUARE ROOT
     0x222B: [1360,862,556,55,944],     // INTEGRAL
-    0x222C: [1361,862,1084,55,1473],   // DOUBLE INTEGRAL
-    0x222D: [1361,862,1592,55,1981],   // TRIPLE INTEGRAL
+    0x222C: [1360,862,1084,55,1472],   // DOUBLE INTEGRAL
+    0x222D: [1360,862,1592,55,1980],   // TRIPLE INTEGRAL
     0x222E: [1360,862,556,55,944],     // CONTOUR INTEGRAL
     0x22C0: [950,450,1111,55,1055],    // N-ARY LOGICAL AND
     0x22C1: [950,450,1111,55,1055],    // N-ARY LOGICAL OR
@@ -1457,25 +1457,25 @@
     testString: "() [] {}",
     0x20: [0,0,250,0,0],               // SPACE
     0x28: [1450,949,736,209,701],      // LEFT PARENTHESIS
-    0x29: [1451,949,736,34,526],       // RIGHT PARENTHESIS
+    0x29: [1450,949,736,34,526],       // RIGHT PARENTHESIS
     0x2F: [1450,949,1044,55,989],      // SOLIDUS
     0x5B: [1450,949,528,247,516],      // LEFT SQUARE BRACKET
     0x5C: [1450,949,1044,56,988],      // REVERSE SOLIDUS
     0x5D: [1450,949,528,11,280],       // RIGHT SQUARE BRACKET
     0x7B: [1450,949,750,130,618],      // LEFT CURLY BRACKET
-    0x7D: [1451,949,750,131,618],      // RIGHT CURLY BRACKET
+    0x7D: [1450,949,750,131,618],      // RIGHT CURLY BRACKET
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
     0x2C6: [772,-564,1444,-4,1447],    // MODIFIER LETTER CIRCUMFLEX ACCENT
     0x2DC: [749,-610,1444,1,1442],     // SMALL TILDE
     0x302: [772,-564,0,-1448,3],       // COMBINING CIRCUMFLEX ACCENT
     0x303: [749,-610,0,-1443,-2],      // COMBINING TILDE
-    0x221A: [1450,951,1000,111,1020],  // SQUARE ROOT
+    0x221A: [1450,950,1000,111,1020],  // SQUARE ROOT
     0x2308: [1450,949,583,246,571],    // LEFT CEILING
     0x2309: [1450,949,583,11,336],     // RIGHT CEILING
     0x230A: [1450,949,583,246,571],    // LEFT FLOOR
     0x230B: [1450,949,583,11,336],     // RIGHT FLOOR
     0x27E8: [1450,950,750,126,654],    // MATHEMATICAL LEFT ANGLE BRACKET
-    0x27E9: [1450,950,750,94,623]      // MATHEMATICAL RIGHT ANGLE BRACKET
+    0x27E9: [1450,949,750,94,623]      // MATHEMATICAL RIGHT ANGLE BRACKET
   };
 
   HTMLCSS.FONTDATA.FONTS['MathJax_Size4'] = {
@@ -1484,52 +1484,52 @@
     testString: "() [] {}",
     0x20: [0,0,250,0,0],               // SPACE
     0x28: [1750,1249,792,237,758],     // LEFT PARENTHESIS
-    0x29: [1751,1250,792,33,554],      // RIGHT PARENTHESIS
+    0x29: [1750,1249,792,33,554],      // RIGHT PARENTHESIS
     0x2F: [1750,1249,1278,56,1221],    // SOLIDUS
     0x5B: [1750,1249,583,269,577],     // LEFT SQUARE BRACKET
     0x5C: [1750,1249,1278,56,1221],    // REVERSE SOLIDUS
     0x5D: [1750,1249,583,5,313],       // RIGHT SQUARE BRACKET
-    0x7B: [1750,1249,806,144,662],     // LEFT CURLY BRACKET
-    0x7D: [1751,1249,806,144,662],     // RIGHT CURLY BRACKET
+    0x7B: [1750,1249,806,144,661],     // LEFT CURLY BRACKET
+    0x7D: [1750,1249,806,144,661],     // RIGHT CURLY BRACKET
     0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
     0x2C6: [845,-561,1889,-14,1902],   // MODIFIER LETTER CIRCUMFLEX ACCENT
     0x2DC: [823,-583,1889,1,1885],     // SMALL TILDE
     0x302: [845,-561,0,-1903,13],      // COMBINING CIRCUMFLEX ACCENT
     0x303: [823,-583,0,-1888,-4],      // COMBINING TILDE
-    0x221A: [1750,1251,1000,111,1020], // SQUARE ROOT
+    0x221A: [1750,1250,1000,111,1020], // SQUARE ROOT
     0x2308: [1750,1249,639,269,633],   // LEFT CEILING
     0x2309: [1750,1249,639,5,369],     // RIGHT CEILING
     0x230A: [1750,1249,639,269,633],   // LEFT FLOOR
     0x230B: [1750,1249,639,5,369],     // RIGHT FLOOR
-    0x239B: [1155,655,875,290,843],    // LEFT PARENTHESIS UPPER HOOK
+    0x239B: [1154,655,875,291,843],    // LEFT PARENTHESIS UPPER HOOK
     0x239C: [610,10,875,291,417],      // LEFT PARENTHESIS EXTENSION
     0x239D: [1165,644,875,291,843],    // LEFT PARENTHESIS LOWER HOOK
-    0x239E: [1155,655,875,31,583],     // RIGHT PARENTHESIS UPPER HOOK
+    0x239E: [1154,655,875,31,583],     // RIGHT PARENTHESIS UPPER HOOK
     0x239F: [610,10,875,457,583],      // RIGHT PARENTHESIS EXTENSION
-    0x23A0: [1165,645,875,31,583],     // RIGHT PARENTHESIS LOWER HOOK
+    0x23A0: [1165,644,875,31,583],     // RIGHT PARENTHESIS LOWER HOOK
     0x23A1: [1154,645,667,319,666],    // LEFT SQUARE BRACKET UPPER CORNER
     0x23A2: [602,0,667,319,403],       // LEFT SQUARE BRACKET EXTENSION
     0x23A3: [1155,644,667,319,666],    // LEFT SQUARE BRACKET LOWER CORNER
     0x23A4: [1154,645,667,0,347],      // RIGHT SQUARE BRACKET UPPER CORNER
     0x23A5: [602,0,667,263,347],       // RIGHT SQUARE BRACKET EXTENSION
     0x23A6: [1155,644,667,0,347],      // RIGHT SQUARE BRACKET LOWER CORNER
-    0x23A7: [899,10,889,383,719],      // LEFT CURLY BRACKET UPPER HOOK
-    0x23A8: [1160,660,889,170,505],    // LEFT CURLY BRACKET MIDDLE PIECE
+    0x23A7: [899,10,889,384,718],      // LEFT CURLY BRACKET UPPER HOOK
+    0x23A8: [1160,660,889,170,504],    // LEFT CURLY BRACKET MIDDLE PIECE
     0x23A9: [10,899,889,384,718],      // LEFT CURLY BRACKET LOWER HOOK
-    0x23AA: [310,10,889,383,504],      // CURLY BRACKET EXTENSION
-    0x23AB: [900,11,889,170,504],      // RIGHT CURLY BRACKET UPPER HOOK
+    0x23AA: [310,10,889,384,504],      // CURLY BRACKET EXTENSION
+    0x23AB: [899,10,889,170,504],      // RIGHT CURLY BRACKET UPPER HOOK
     0x23AC: [1160,660,889,384,718],    // RIGHT CURLY BRACKET MIDDLE PIECE
-    0x23AD: [10,899,889,170,505],      // RIGHT CURLY BRACKET LOWER HOOK
+    0x23AD: [10,899,889,170,504],      // RIGHT CURLY BRACKET LOWER HOOK
     0x23B7: [935,885,1056,111,742],    // RADICAL SYMBOL BOTTOM
-    0x27E8: [1750,1249,806,140,703],   // MATHEMATICAL LEFT ANGLE BRACKET
-    0x27E9: [1751,1249,806,103,665],   // MATHEMATICAL RIGHT ANGLE BRACKET
-    0xE000: [625,15,1056,702,742],     // MJ-TeX: radical symbol vertical extender
-    0xE001: [605,15,1056,702,1076],    // MJ-TeX: radical symbol top corner piece
-    0xE150: [120,213,450,-24,461],     // MJ-TeX: horizontal brace, down left piece
-    0xE151: [120,214,450,-11,475],     // MJ-TeX: horizontal brace, down right piece
-    0xE152: [333,0,450,-24,461],       // MJ-TeX: horizontal brace, upper left piece
-    0xE153: [333,0,450,-11,475],       // MJ-TeX: horizontal brace, upper right piece
-    0xE154: [120,0,400,-10,410]        // MJ-TeX: horizontal brace, extender
+    0x27E8: [1750,1248,806,140,703],   // MATHEMATICAL LEFT ANGLE BRACKET
+    0x27E9: [1750,1248,806,103,665],   // MATHEMATICAL RIGHT ANGLE BRACKET
+    0xE000: [625,14,1056,702,742],     // stix-radical symbol vertical extender
+    0xE001: [605,14,1056,702,1076],    // stix-radical symbol top corner piece
+    0xE150: [120,213,450,-24,460],     // stix-horizontal brace, down left piece
+    0xE151: [120,213,450,-10,474],     // stix-horizontal brace, down right piece
+    0xE152: [333,0,450,-24,460],       // stix-horizontal brace, upper left piece
+    0xE153: [333,0,450,-10,474],       // stix-horizontal brace, upper right piece
+    0xE154: [120,0,400,-10,410]        // stix-oblique open face capital letter A
   };
 
   HTMLCSS.FONTDATA.FONTS['MathJax_Main'][0x22EE][0] += 400;  // adjust height for \vdots
@@ -1579,7 +1579,7 @@
             HTMLCSS.FONTDATA.FONTS['MathJax_Greek'] = {
               directory: 'Greek/Regular',
               family: 'MathJax_Greek',
-              testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B),
+              testString: "\u0393 \u03A5 \u039B",
               0x20: [0,0,250,0,0],               // SPACE
               0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
               0x393: [680,0,625,25,582],         // GREEK CAPITAL LETTER GAMMA
@@ -1613,7 +1613,7 @@
               directory: 'Greek/Bold',
               family: 'MathJax_Greek',
               weight: 'bold',
-              testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B),
+              testString: "\u0393 \u03A5 \u039B",
               0x20: [0,0,250,0,0],               // SPACE
               0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
               0x393: [680,0,692,39,643],         // GREEK CAPITAL LETTER GAMMA
@@ -1645,7 +1645,7 @@
               directory: 'Greek/Italic',
               family: 'MathJax_Greek',
               style: 'italic',
-              testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B),
+              testString: "\u0393 \u03A5 \u039B",
               skew: {
                 0x393: 0.0833,
                 0x394: 0.167,
@@ -1846,21 +1846,21 @@
           HTMLCSS.FONTDATA.FONTS['MathJax_WinChrome'] = {
             directory: 'WinChrome/Regular',
             family: 'MathJax_WinChrome',
-            testString: "> T d "+String.fromCharCode(0x23A6)+" "+String.fromCharCode(0x2A00),
+            testString: "> T d \u23A6 \u2A00",
             skew: {
               0x54: 0.0278,
               0xE2F0: 0.0319
             },
             0x20: [0,0,250,0,0],               // SPACE
-            0x3E: [540,40,778,82,694],         // GREATER-THAN SIGN
-            0x54: [717,69,545,34,834],         // LATIN CAPITAL LETTER T
-            0x64: [694,11,511,100,567],        // LATIN SMALL LETTER D
+            0x3E: [540,40,778,83,694],         // GREATER-THAN SIGN
+            0x54: [717,68,545,34,833],         // LATIN CAPITAL LETTER T
+            0x64: [694,11,511,101,567],        // LATIN SMALL LETTER D
             0xA0: [0,0,250,0,0],               // NO-BREAK SPACE
-            0x22C3: [750,250,833,55,777],      // N-ARY UNION
+            0x22C3: [750,249,833,55,777],      // N-ARY UNION
             0x23A6: [1155,644,667,0,347],      // RIGHT SQUARE BRACKET LOWER CORNER
             0x2A00: [949,449,1511,56,1454],    // N-ARY CIRCLED DOT OPERATOR
-            0xE2F0: [720,69,644,38,947],       // ??
-            0xE2F1: [587,85,894,95,797]        // ??
+            0xE2F0: [720,69,644,38,947],       // stix-lowercase u italic slashed
+            0xE2F1: [587,85,894,96,797]        // stix-lowercase u bold italic slashed
           };
           
         }
diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js
index f8bb3bbcd..ec83576cc 100644
--- a/unpacked/jax/output/HTML-CSS/jax.js
+++ b/unpacked/jax/output/HTML-CSS/jax.js
@@ -44,7 +44,8 @@
                 padding:0, border:0, margin:0, whiteSpace:"nowrap",
                 textAlign:"left", textIndent:0, textTransform:"none",
                 lineHeight:"normal", letterSpacing:"normal", wordSpacing:"normal",
-                fontSize:this.testSize[0], fontWeight:"normal", fontStyle:"normal"}
+                fontSize:this.testSize[0], fontWeight:"normal", fontStyle:"normal",
+                fontSizeAdjust:"none"}
       },[""]);
       this.text = this.div.firstChild;
     },
@@ -74,7 +75,7 @@
           this.div.style.fontFamily = "'"+font.family+"',"+this.comparisonFont[W[2]];
           if (this.div.offsetWidth == W[1]) {return false}
         }
-        if (this.div.offsetWidth != W[3]) {
+        if (this.div.offsetWidth != W[3] || this.div.offsetHeight != W[4]) {
           if (font.noStyleChar || !HTMLCSS.FONTDATA || !HTMLCSS.FONTDATA.hasStyleChar) {return true}
           for (var i = 0, m = this.testSize.length; i < m; i++)
             {if (this.testStyleChar(font,this.testSize[i])) {return true}}
@@ -116,12 +117,12 @@
       if (HTMLCSS.safariTextNodeBug) {this.div.innerHTML = string}
         else {this.text.nodeValue = string}
       this.div.style.fontFamily = this.comparisonFont[0];
-      var W = this.div.offsetWidth, sW = -1;
-        this.div.style.fontFamily = HTMLCSS.webFontDefault;
-        sW = this.div.offsetWidth;
+      var W = this.div.offsetWidth;
+      this.div.style.fontFamily = HTMLCSS.webFontDefault;
+      var sW = this.div.offsetWidth, sH = this.div.offsetHeight;
       for (var i = 1, m = this.comparisonFont.length; i < m; i++) {
         this.div.style.fontFamily = this.comparisonFont[i];
-        if (this.div.offsetWidth != W) {return [W,this.div.offsetWidth,i,sW]}
+        if (this.div.offsetWidth != W) {return [W,this.div.offsetWidth,i,sW,sH]}
       }
       return null;
     },