commit 23472e3f87303ff7d46b95bcc43b5b4847adcb05
parent 8b49255547db3689bfcbce45bec193f56ac43ff6
Author: Davide P. Cervone <dpvc@union.edu>
Date: Tue, 31 Jan 2012 14:09:24 -0500
Add U+2032 through U+2037 to the STIX characters that must come from the variants font; don't special case U+2032 in TeX input or STIX font tables.
Diffstat:
18 files changed, 21 insertions(+), 22 deletions(-)
diff --git 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
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span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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(x,l,q){var 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k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof Array){l=this.FONTDATA.VARIANT[u[1]];u=u[0]}if(typeof(u)==="string"){q=u+q.substr(y+1);y=0;v=q.length;u=u.charCodeAt(0)}}r=this.lookupChar(l,u);A=r[u];j=x;if((l!==z||r.family!==x.style.fontFamily)&&!A[5].img){if(w.length){this.addText(x,w);w=""}if(x.style.fontFamily){j=this.addElement(x,"span",{isMathJax:true})}this.handleFont(j,r,j!==x);z=l}w=this.handleChar(j,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(j,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},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 fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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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 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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 .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.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"},".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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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(x,l,q){var w="",u,A,r,B,j,z;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(u>=55296&&u<56319){y++;u=(((u-55296)<<10)+(q.charCodeAt(y)-56320))+65536;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof 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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 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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"&&!this.mathvariant){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 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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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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
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l},Comment:function(k){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(k){d.Error("You can't use 'macro parameter character #' in math mode")},Other:function(m){var l={stretchy:false},k;if(this.stack.env.font){l.mathvariant=this.stack.env.font}if(f.remap[m]){m=f.remap[m];if(m instanceof Array){l=m[1];m=m[0]}k=h.mo(h.entity("#x"+m)).With(l)}else{k=h.mo(m).With(l)}if(k.autoDefault("texClass",true)==""){k=h.TeXAtom(k)}this.Push(this.mmlToken(k))},SetFont:function(l,k){this.stack.env.font=k},SetStyle:function(l,k,m,n){this.stack.env.style=k;this.stack.env.level=n;this.Push(b.style().With({styles:{displaystyle:m,scriptlevel:n}}))},SetSize:function(k,l){this.stack.env.size=l;this.Push(b.style().With({styles:{mathsize:l+"em"}}))},Color:function(m){var l=this.GetArgument(m);var k=this.stack.env.color;this.stack.env.color=l;var n=this.ParseArg(m);if(k){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(n).With({mathcolor:l}))},Spacer:function(k,l){this.Push(h.mspace().With({width:l,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(k){this.Push(b[k.substr(1)]().With({delim:this.GetDelimiter(k)}))},Middle:function(k){var l=this.GetDelimiter(k);if(this.stack.Top().type!=="left"){d.Error(k+" must be within \\left and \\right")}this.Push(h.mo(l).With({stretchy:true}))},NamedFn:function(l,m){if(!m){m=l.substr(1)}var k=h.mi(m).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(k)))},NamedOp:function(l,m){if(!m){m=l.substr(1)}m=m.replace(/ /,"\u2006");var k=h.mo(m).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});k.useMMLspacing&=~k.SPACE_ATTR.form;this.Push(this.mmlToken(k))},Limits:function(l,k){var m=this.stack.Prev("nopop");if(m.texClass!==h.TEXCLASS.OP){d.Error(l+" is allowed only on operators")}m.movesupsub=(k?true:false);m.movablelimits=false},Over:function(m,l,n){var k=b.over().With({name:m});if(l||n){k.open=l;k.close=n}else{if(m.match(/withdelims$/)){k.open=this.GetDelimiter(m);k.close=this.GetDelimiter(m)}}if(m.match(/^\\above/)){k.thickness=this.GetDimen(m)}else{if(m.match(/^\\atop/)||l||n){k.thickness=0}}this.Push(k)},Frac:function(l){var k=this.ParseArg(l);var m=this.ParseArg(l);this.Push(h.mfrac(k,m))},Sqrt:function(m){var o=this.GetBrackets(m),k=this.GetArgument(m);if(k==="\\frac"){k+="{"+this.GetArgument(k)+"}{"+this.GetArgument(k)+"}"}var l=d.Parse(k,this.stack.env).mml();if(!o){l=h.msqrt.apply(h,l.array())}else{l=h.mroot(l,this.parseRoot(o))}this.Push(l)},Root:function(l){var m=this.GetUpTo(l,"\\of");var k=this.ParseArg(l);this.Push(h.mroot(k,this.parseRoot(m)))},parseRoot:function(p){var l=this.stack.env,k=l.inRoot;l.inRoot=true;var o=d.Parse(p,l);p=o.mml();var m=o.stack.global;if(m.leftRoot||m.upRoot){p=h.mpadded(p);if(m.leftRoot){p.width=m.leftRoot}if(m.upRoot){p.voffset=m.upRoot;p.height=m.upRoot}}l.inRoot=k;return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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 a dimension")}this.Push(b.cell().With({isCR:true,name:k,linebreak:true}));var m=this.stack.Top();if(m.isa(b.array)){if(o&&m.arraydef.rowspacing){var l=m.arraydef.rowspacing.split(/ /);if(!m.rowspacing){m.rowspacing=this.dimen2em(l[0])}while(l.length<m.table.length){l.push(m.rowspacing)}l[m.table.length-1]=(m.rowspacing+this.dimen2em(o))+"em";m.arraydef.rowspacing=l.join(" ")}}else{if(o){this.Push(h.mspace().With({depth:o}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(o){var l=o.match(/^((?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var k=parseFloat(l[1]||"1"),n=l[2];if(n==="em"){return k}if(n==="ex"){return k*0.43}if(n==="pt"){return k/10}if(n==="pc"){return k*1.2}if(n==="in"){return k*this.emPerInch}if(n==="cm"){return k*this.emPerInch/2.54}if(n==="mm"){return k*this.emPerInch/25.4}if(n==="mu"){return k/18}return 0},HLine:function(l,m){if(m==null){m="solid"}var n=this.stack.Top();if(!n.isa(b.array)||n.data.length){d.Error("Misplaced "+l)}if(n.table.length==0){n.frame.push("top")}else{var k=(n.arraydef.rowlines?n.arraydef.rowlines.split(/ /):[]);while(k.length<n.table.length){k.push("none")}k[n.table.length-1]=m;n.arraydef.rowlines=k.join(" ")}},Begin:function(l){var m=this.GetArgument(l);if(m.match(/[^a-z*]/i)){d.Error('Invalid environment name "'+m+'"')}var n=this.envFindName(m);if(!n){d.Error('Unknown environment "'+m+'"')}if(++this.macroCount>d.config.MAXMACROS){d.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?")}if(!(n instanceof Array)){n=[n]}var k=b.begin().With({name:m,end:n[1],parse:this});if(n[0]&&this[n[0]]){k=this[n[0]].apply(this,[k].concat(n.slice(2)))}this.Push(k)},End:function(k){this.Push(b.end().With({name:this.GetArgument(k)}))},envFindName:function(k){return f.environment[k]},Equation:function(k,l){return 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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 "+l)}return null;case"}":if(!m){d.Error("Extra close brace or missing open brace")}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var k=++this.i,n=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":n++;break;case"}":if(n==0){d.Error("Extra close brace")}if(--n==0){return this.string.slice(k,this.i-1)}break}}d.Error("Missing close brace");break}return this.string.charAt(this.i++)},GetBrackets:function(l,n){if(this.GetNext()!="["){return n}var k=++this.i,m=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":m++;break;case"\\":this.i++;break;case"}":if(m--<=0){d.Error("Extra close brace while looking for ']'")}break;case"]":if(m==0){return this.string.slice(k,this.i-1)}break}}d.Error("Couldn't find closing ']' for argument to "+l)},GetDelimiter:function(k){while(this.nextIsSpace()){this.i++}var 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*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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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m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}}}}}}}if(n!==""){d.Error("Math not terminated in text box")}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(l,k){l=l.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(l)).With(k)},SubstituteArgs:function(l,k){var o="";var n="";var p;var m=0;while(m<k.length){p=k.charAt(m++);if(p==="\\"){o+=p+k.charAt(m++)}else{if(p==="#"){p=k.charAt(m++);if(p==="#"){o+=p}else{if(!p.match(/[1-9]/)||p>l.length){d.Error("Illegal macro parameter reference")}n=this.AddArgs(this.AddArgs(n,o),l[p-1]);o=""}}else{o+=p}}}return this.AddArgs(n,o)},AddArgs:function(l,k){if(k.match(/^[a-z]/i)&&l.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){l+=" "}if(l.length+k.length>d.config.MAXBUFFER){d.Error("MathJax internal buffer size exceeded; is there a recursive macro call?")}return l+k}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:j,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:"TeX Commands",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(k){var l,m=false,o=k.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");var q=(k.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var p={math:o,display:q,script:k};this.prefilterHooks.Execute(p);o=p.math;try{l=d.Parse(o).mml()}catch(n){if(!n.texError){throw n}l=this.formatError(n,o,q,k);m=true}if(l.inferred){l=h.apply(MathJax.ElementJax,l.data)}else{l=h(l)}if(q){l.root.display="block"}if(m){l.texError=true}p.math=l;this.postfilterHooks.Execute(p);return p.math},prefilterMath:function(l,m,k){if(c.Browser.isKonqueror){l=l.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&")}return l.replace(/([_^]\s*\d)([0-9.,])/g,"$1 $2")},postfilterMath:function(l,m,k){this.combineRelations(l.root);return l},formatError:function(n,m,o,k){var l=n.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",l,m,o,k]);return h.merror(l)},Error:function(k){throw c.Insert(Error(k),{texError:true})},Macro:function(k,l,m){f.macros[k]=["Macro"].concat([].slice.call(arguments,1));f.macros[k].isUser=true},combineRelations:function(o){var p,k,n,l;for(p=0,k=o.data.length;p<k;p++){if(o.data[p]){if(o.isa(h.mrow)){while(p+1<k&&(n=o.data[p])&&(l=o.data[p+1])&&n.isa(h.mo)&&l.isa(h.mo)&&n.Get("texClass")===h.TEXCLASS.REL&&l.Get("texClass")===h.TEXCLASS.REL){if(n.variantForm==l.variantForm&&n.Get("mathvariant")==l.Get("mathvariant")&&n.style==l.style&&n["class"]==l["class"]&&!n.id&&!l.id){n.Append.apply(n,l.data);o.data.splice(p+1,1);k--}else{n.rspace=l.lspace="0pt";p++}}}if(!o.data[p].isToken){this.combineRelations(o.data[p])}}}}});d.prefilterHooks.Add(function(k){k.math=d.prefilterMath(k.math,k.display,k.script)});d.postfilterHooks.Add(function(k){k.math=d.postfilterMath(k.math,k.display,k.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
MathJax.Extension["TeX/AMSmath"]={version:"2.0",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(h){return h.join("em ")+"em"};d.Add({macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],intI:["Macro","\\mathchoice{\\!}{}{}{}\\!\\!\\int"],iiiint:["MultiIntegral","\\int\\intI\\intI\\intI"],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}",1],ddddot:["Macro","\\mathop{#1}\\limits^{\\textstyle 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lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(j+" not allowed in "+k.notags+" environment")}if(k.tag){g.Error("Multiple "+j)}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(!f.refUpdate){if(j.label){g.Error("Multiple "+i+"'s")}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error("Label '"+h+"' mutiply defined")}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(i+" must come at the beginning of the line")}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error("Illegal alignment specified in "+k)}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=b.mfenced(j).With({open:k,close:p})}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error("Bad math style for "+i)}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error("Argument to \\begin{"+k.name+"} must me a positive integer")}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error("Erroneous nesting of equation structures")}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error("Missing or unrecognized delimiter for "+h)}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error("multline rows must have exactly one column")}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
@@ -90,7 +90,7 @@ 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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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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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(x,l,q){var 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k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof Array){l=this.FONTDATA.VARIANT[u[1]];u=u[0]}if(typeof(u)==="string"){q=u+q.substr(y+1);y=0;v=q.length;u=u.charCodeAt(0)}}r=this.lookupChar(l,u);A=r[u];j=x;if((l!==z||r.family!==x.style.fontFamily)&&!A[5].img){if(w.length){this.addText(x,w);w=""}if(x.style.fontFamily){j=this.addElement(x,"span",{isMathJax:true})}this.handleFont(j,r,j!==x);z=l}w=this.handleChar(j,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(j,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},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 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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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w=this.getValues("mathcolor","color");if(this.mathbackground){w.mathbackground=this.mathbackground}if(this.background){w.background=this.background}if(this.style&&u.style.backgroundColor){w.mathbackground=u.style.backgroundColor;u.style.backgroundColor="transparent"}var r=(this.styles||{}).border,t=(this.styles||{}).padding;if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.background&&!this.mathbackground){w.mathbackground=w.background}if(w.mathcolor){u.style.color=w.mathcolor}if((w.mathbackground&&w.mathbackground!==f.COLOR.TRANSPARENT)||r||t){var x=(u.bbox.exact?0:1/d.em),s=0,q=0,k=u.style.paddingLeft,o=u.style.paddingRight;if(this.isToken){s=u.bbox.lw;q=u.bbox.rw-u.bbox.w}if(k!==""){s+=parseFloat(k)*(u.scale||1)}if(o!==""){q-=parseFloat(o)*(u.scale||1)}var m=Math.max(0,d.getW(u)+(d.PaddingWidthBug||u.bbox.keepPadding?0:q-s));var v=u.bbox.h+u.bbox.d,j=-u.bbox.d,p=0,n=0;if(m>0){m+=2*x;s-=x}if(v>0){v+=2*x;j-=x}q=-m-s;if(r){q-=r.right;j-=r.bottom;p+=r.left;n+=r.right;u.bbox.h+=r.top;u.bbox.d+=r.bottom;u.bbox.w+=r.left+r.right;u.bbox.lw-=r.left;u.bbox.rw+=r.right}if(t){v+=t.top+t.bottom;m+=t.left+t.right;q-=t.right;j-=t.bottom;p+=t.left;n+=t.right;u.bbox.h+=t.top;u.bbox.d+=t.bottom;u.bbox.w+=t.left+t.right;u.bbox.lw-=t.left;u.bbox.rw+=t.right}if(n){u.style.paddingRight=d.Em(n)}var l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var 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d.FONTDATA.VARIANT[k]}},{HTMLautoload:function(){var j=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(g.Require(j))},HTMLautoloadFile:function(j){var k=d.autoloadDir+"/"+j+".js";b.RestartAfter(g.Require(k))},HTMLstretchH:function(k,j){this.HTMLremoveColor();return this.toHTML(k,j)},HTMLstretchV:function(k,j,l){this.HTMLremoveColor();return this.toHTML(k,j,l)}});f.chars.Augment({toHTML:function(m,l,k,n){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){q=k(q,n)}if(!l){var p=Math.floor(100/d.scale+0.5)+"%";d.addElement(m,"span",{style:{"font-size":p}},[q]);var o=d.getHD(m),j=d.getW(m);m.bbox={h:o.h,d:o.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(m,l,q)}}});f.entity.Augment({toHTML:function(l,k){var o=this.toString().replace(/[\u2061-\u2064]/g,"");if(!k){var n=Math.floor(100/d.scale+0.5)+"%";d.addElement(l,"span",{style:{"font-size":n}},[o]);var 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]/)){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"&&!this.mathvariant){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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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.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"},".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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w="",u,A,r,B,j,z;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(u>=55296&&u<56319){y++;u=(((u-55296)<<10)+(q.charCodeAt(y)-56320))+65536;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof 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l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.fontfamily&&!this.mathvariant){if(!j.fontweight&&j.mathvariant.match(/bold/)){j.fontweight="bold"}if(!j.fontstyle&&j.mathvariant.match(/italic/)){j.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.fontfamily,style:j.fontstyle,weight:j.fontweight}}}if(!this.mathvariant){if(j.fontweight==="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.fontweight==="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.fontstyle==="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.fontstyle==="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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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"&&!this.mathvariant){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]:null));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 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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/Accessible.js b/config/Accessible.js
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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){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*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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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m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}}}}}}}if(n!==""){d.Error("Math not terminated in text box")}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(l,k){l=l.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(l)).With(k)},SubstituteArgs:function(l,k){var o="";var n="";var p;var m=0;while(m<k.length){p=k.charAt(m++);if(p==="\\"){o+=p+k.charAt(m++)}else{if(p==="#"){p=k.charAt(m++);if(p==="#"){o+=p}else{if(!p.match(/[1-9]/)||p>l.length){d.Error("Illegal macro parameter reference")}n=this.AddArgs(this.AddArgs(n,o),l[p-1]);o=""}}else{o+=p}}}return this.AddArgs(n,o)},AddArgs:function(l,k){if(k.match(/^[a-z]/i)&&l.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){l+=" "}if(l.length+k.length>d.config.MAXBUFFER){d.Error("MathJax internal buffer size exceeded; is there a recursive macro call?")}return l+k}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:j,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:"TeX Commands",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(k){var l,m=false,o=k.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");var q=(k.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var p={math:o,display:q,script:k};this.prefilterHooks.Execute(p);o=p.math;try{l=d.Parse(o).mml()}catch(n){if(!n.texError){throw n}l=this.formatError(n,o,q,k);m=true}if(l.inferred){l=h.apply(MathJax.ElementJax,l.data)}else{l=h(l)}if(q){l.root.display="block"}if(m){l.texError=true}p.math=l;this.postfilterHooks.Execute(p);return p.math},prefilterMath:function(l,m,k){if(c.Browser.isKonqueror){l=l.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&")}return l.replace(/([_^]\s*\d)([0-9.,])/g,"$1 $2")},postfilterMath:function(l,m,k){this.combineRelations(l.root);return l},formatError:function(n,m,o,k){var l=n.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",l,m,o,k]);return h.merror(l)},Error:function(k){throw c.Insert(Error(k),{texError:true})},Macro:function(k,l,m){f.macros[k]=["Macro"].concat([].slice.call(arguments,1));f.macros[k].isUser=true},combineRelations:function(o){var p,k,n,l;for(p=0,k=o.data.length;p<k;p++){if(o.data[p]){if(o.isa(h.mrow)){while(p+1<k&&(n=o.data[p])&&(l=o.data[p+1])&&n.isa(h.mo)&&l.isa(h.mo)&&n.Get("texClass")===h.TEXCLASS.REL&&l.Get("texClass")===h.TEXCLASS.REL){if(n.variantForm==l.variantForm&&n.Get("mathvariant")==l.Get("mathvariant")&&n.style==l.style&&n["class"]==l["class"]&&!n.id&&!l.id){n.Append.apply(n,l.data);o.data.splice(p+1,1);k--}else{n.rspace=l.lspace="0pt";p++}}}if(!o.data[p].isToken){this.combineRelations(o.data[p])}}}}});d.prefilterHooks.Add(function(k){k.math=d.prefilterMath(k.math,k.display,k.script)});d.postfilterHooks.Add(function(k){k.math=d.postfilterMath(k.math,k.display,k.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
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j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(i+" must come at the beginning of the line")}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error("Illegal alignment specified in 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this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error("Erroneous nesting of equation structures")}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var 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diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
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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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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(x,l,q){var 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k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof Array){l=this.FONTDATA.VARIANT[u[1]];u=u[0]}if(typeof(u)==="string"){q=u+q.substr(y+1);y=0;v=q.length;u=u.charCodeAt(0)}}r=this.lookupChar(l,u);A=r[u];j=x;if((l!==z||r.family!==x.style.fontFamily)&&!A[5].img){if(w.length){this.addText(x,w);w=""}if(x.style.fontFamily){j=this.addElement(x,"span",{isMathJax:true})}this.handleFont(j,r,j!==x);z=l}w=this.handleChar(j,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(j,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},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 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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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w=this.getValues("mathcolor","color");if(this.mathbackground){w.mathbackground=this.mathbackground}if(this.background){w.background=this.background}if(this.style&&u.style.backgroundColor){w.mathbackground=u.style.backgroundColor;u.style.backgroundColor="transparent"}var r=(this.styles||{}).border,t=(this.styles||{}).padding;if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.background&&!this.mathbackground){w.mathbackground=w.background}if(w.mathcolor){u.style.color=w.mathcolor}if((w.mathbackground&&w.mathbackground!==f.COLOR.TRANSPARENT)||r||t){var x=(u.bbox.exact?0:1/d.em),s=0,q=0,k=u.style.paddingLeft,o=u.style.paddingRight;if(this.isToken){s=u.bbox.lw;q=u.bbox.rw-u.bbox.w}if(k!==""){s+=parseFloat(k)*(u.scale||1)}if(o!==""){q-=parseFloat(o)*(u.scale||1)}var m=Math.max(0,d.getW(u)+(d.PaddingWidthBug||u.bbox.keepPadding?0:q-s));var v=u.bbox.h+u.bbox.d,j=-u.bbox.d,p=0,n=0;if(m>0){m+=2*x;s-=x}if(v>0){v+=2*x;j-=x}q=-m-s;if(r){q-=r.right;j-=r.bottom;p+=r.left;n+=r.right;u.bbox.h+=r.top;u.bbox.d+=r.bottom;u.bbox.w+=r.left+r.right;u.bbox.lw-=r.left;u.bbox.rw+=r.right}if(t){v+=t.top+t.bottom;m+=t.left+t.right;q-=t.right;j-=t.bottom;p+=t.left;n+=t.right;u.bbox.h+=t.top;u.bbox.d+=t.bottom;u.bbox.w+=t.left+t.right;u.bbox.lw-=t.left;u.bbox.rw+=t.right}if(n){u.style.paddingRight=d.Em(n)}var l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var 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d.FONTDATA.VARIANT[k]}},{HTMLautoload:function(){var j=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(g.Require(j))},HTMLautoloadFile:function(j){var k=d.autoloadDir+"/"+j+".js";b.RestartAfter(g.Require(k))},HTMLstretchH:function(k,j){this.HTMLremoveColor();return this.toHTML(k,j)},HTMLstretchV:function(k,j,l){this.HTMLremoveColor();return this.toHTML(k,j,l)}});f.chars.Augment({toHTML:function(m,l,k,n){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){q=k(q,n)}if(!l){var p=Math.floor(100/d.scale+0.5)+"%";d.addElement(m,"span",{style:{"font-size":p}},[q]);var o=d.getHD(m),j=d.getW(m);m.bbox={h:o.h,d:o.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(m,l,q)}}});f.entity.Augment({toHTML:function(l,k){var o=this.toString().replace(/[\u2061-\u2064]/g,"");if(!k){var n=Math.floor(100/d.scale+0.5)+"%";d.addElement(l,"span",{style:{"font-size":n}},[o]);var 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]/)){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"&&!this.mathvariant){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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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.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"},".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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w="",u,A,r,B,j,z;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(u>=55296&&u<56319){y++;u=(((u-55296)<<10)+(q.charCodeAt(y)-56320))+65536;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof 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l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.fontfamily&&!this.mathvariant){if(!j.fontweight&&j.mathvariant.match(/bold/)){j.fontweight="bold"}if(!j.fontstyle&&j.mathvariant.match(/italic/)){j.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.fontfamily,style:j.fontstyle,weight:j.fontweight}}}if(!this.mathvariant){if(j.fontweight==="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.fontweight==="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.fontstyle==="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.fontstyle==="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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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"&&!this.mathvariant){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]:null));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 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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-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){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*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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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m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}}}}}}}if(n!==""){d.Error("Math not terminated in text box")}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(l,k){l=l.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(l)).With(k)},SubstituteArgs:function(l,k){var o="";var n="";var p;var m=0;while(m<k.length){p=k.charAt(m++);if(p==="\\"){o+=p+k.charAt(m++)}else{if(p==="#"){p=k.charAt(m++);if(p==="#"){o+=p}else{if(!p.match(/[1-9]/)||p>l.length){d.Error("Illegal macro parameter reference")}n=this.AddArgs(this.AddArgs(n,o),l[p-1]);o=""}}else{o+=p}}}return this.AddArgs(n,o)},AddArgs:function(l,k){if(k.match(/^[a-z]/i)&&l.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){l+=" "}if(l.length+k.length>d.config.MAXBUFFER){d.Error("MathJax internal buffer size exceeded; is there a recursive macro call?")}return l+k}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:j,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:"TeX Commands",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(k){var l,m=false,o=k.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");var q=(k.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var p={math:o,display:q,script:k};this.prefilterHooks.Execute(p);o=p.math;try{l=d.Parse(o).mml()}catch(n){if(!n.texError){throw n}l=this.formatError(n,o,q,k);m=true}if(l.inferred){l=h.apply(MathJax.ElementJax,l.data)}else{l=h(l)}if(q){l.root.display="block"}if(m){l.texError=true}p.math=l;this.postfilterHooks.Execute(p);return p.math},prefilterMath:function(l,m,k){if(c.Browser.isKonqueror){l=l.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&")}return l.replace(/([_^]\s*\d)([0-9.,])/g,"$1 $2")},postfilterMath:function(l,m,k){this.combineRelations(l.root);return l},formatError:function(n,m,o,k){var l=n.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",l,m,o,k]);return h.merror(l)},Error:function(k){throw c.Insert(Error(k),{texError:true})},Macro:function(k,l,m){f.macros[k]=["Macro"].concat([].slice.call(arguments,1));f.macros[k].isUser=true},combineRelations:function(o){var p,k,n,l;for(p=0,k=o.data.length;p<k;p++){if(o.data[p]){if(o.isa(h.mrow)){while(p+1<k&&(n=o.data[p])&&(l=o.data[p+1])&&n.isa(h.mo)&&l.isa(h.mo)&&n.Get("texClass")===h.TEXCLASS.REL&&l.Get("texClass")===h.TEXCLASS.REL){if(n.variantForm==l.variantForm&&n.Get("mathvariant")==l.Get("mathvariant")&&n.style==l.style&&n["class"]==l["class"]&&!n.id&&!l.id){n.Append.apply(n,l.data);o.data.splice(p+1,1);k--}else{n.rspace=l.lspace="0pt";p++}}}if(!o.data[p].isToken){this.combineRelations(o.data[p])}}}}});d.prefilterHooks.Add(function(k){k.math=d.prefilterMath(k.math,k.display,k.script)});d.postfilterHooks.Add(function(k){k.math=d.postfilterMath(k.math,k.display,k.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
MathJax.Extension["TeX/AMSmath"]={version:"2.0",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(h){return h.join("em ")+"em"};d.Add({macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],intI:["Macro","\\mathchoice{\\!}{}{}{}\\!\\!\\int"],iiiint:["MultiIntegral","\\int\\intI\\intI\\intI"],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}",1],ddddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}",1],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["Macro","\\mathop{\\rm inj\\,lim}"],projlim:["Macro","\\mathop{\\rm proj\\,lim}"],varliminf:["Macro","\\mathop{\\underline{\\rm lim}}"],varlimsup:["Macro","\\mathop{\\overline{\\rm lim}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(j+" not allowed in "+k.notags+" environment")}if(k.tag){g.Error("Multiple "+j)}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(!f.refUpdate){if(j.label){g.Error("Multiple "+i+"'s")}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error("Label '"+h+"' mutiply defined")}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(i+" must come at the beginning of the line")}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error("Illegal alignment specified in "+k)}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=b.mfenced(j).With({open:k,close:p})}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error("Bad math style for "+i)}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error("Argument to \\begin{"+k.name+"} must me a positive integer")}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error("Erroneous nesting of equation structures")}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error("Missing or unrecognized delimiter for "+h)}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error("multline rows must have exactly one column")}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
@@ -78,7 +78,7 @@ 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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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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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(x,l,q){var 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k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof Array){l=this.FONTDATA.VARIANT[u[1]];u=u[0]}if(typeof(u)==="string"){q=u+q.substr(y+1);y=0;v=q.length;u=u.charCodeAt(0)}}r=this.lookupChar(l,u);A=r[u];j=x;if((l!==z||r.family!==x.style.fontFamily)&&!A[5].img){if(w.length){this.addText(x,w);w=""}if(x.style.fontFamily){j=this.addElement(x,"span",{isMathJax:true})}this.handleFont(j,r,j!==x);z=l}w=this.handleChar(j,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(j,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},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 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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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w=this.getValues("mathcolor","color");if(this.mathbackground){w.mathbackground=this.mathbackground}if(this.background){w.background=this.background}if(this.style&&u.style.backgroundColor){w.mathbackground=u.style.backgroundColor;u.style.backgroundColor="transparent"}var r=(this.styles||{}).border,t=(this.styles||{}).padding;if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.background&&!this.mathbackground){w.mathbackground=w.background}if(w.mathcolor){u.style.color=w.mathcolor}if((w.mathbackground&&w.mathbackground!==f.COLOR.TRANSPARENT)||r||t){var x=(u.bbox.exact?0:1/d.em),s=0,q=0,k=u.style.paddingLeft,o=u.style.paddingRight;if(this.isToken){s=u.bbox.lw;q=u.bbox.rw-u.bbox.w}if(k!==""){s+=parseFloat(k)*(u.scale||1)}if(o!==""){q-=parseFloat(o)*(u.scale||1)}var m=Math.max(0,d.getW(u)+(d.PaddingWidthBug||u.bbox.keepPadding?0:q-s));var v=u.bbox.h+u.bbox.d,j=-u.bbox.d,p=0,n=0;if(m>0){m+=2*x;s-=x}if(v>0){v+=2*x;j-=x}q=-m-s;if(r){q-=r.right;j-=r.bottom;p+=r.left;n+=r.right;u.bbox.h+=r.top;u.bbox.d+=r.bottom;u.bbox.w+=r.left+r.right;u.bbox.lw-=r.left;u.bbox.rw+=r.right}if(t){v+=t.top+t.bottom;m+=t.left+t.right;q-=t.right;j-=t.bottom;p+=t.left;n+=t.right;u.bbox.h+=t.top;u.bbox.d+=t.bottom;u.bbox.w+=t.left+t.right;u.bbox.lw-=t.left;u.bbox.rw+=t.right}if(n){u.style.paddingRight=d.Em(n)}var l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var 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d.FONTDATA.VARIANT[k]}},{HTMLautoload:function(){var j=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(g.Require(j))},HTMLautoloadFile:function(j){var k=d.autoloadDir+"/"+j+".js";b.RestartAfter(g.Require(k))},HTMLstretchH:function(k,j){this.HTMLremoveColor();return this.toHTML(k,j)},HTMLstretchV:function(k,j,l){this.HTMLremoveColor();return this.toHTML(k,j,l)}});f.chars.Augment({toHTML:function(m,l,k,n){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){q=k(q,n)}if(!l){var p=Math.floor(100/d.scale+0.5)+"%";d.addElement(m,"span",{style:{"font-size":p}},[q]);var o=d.getHD(m),j=d.getW(m);m.bbox={h:o.h,d:o.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(m,l,q)}}});f.entity.Augment({toHTML:function(l,k){var o=this.toString().replace(/[\u2061-\u2064]/g,"");if(!k){var n=Math.floor(100/d.scale+0.5)+"%";d.addElement(l,"span",{style:{"font-size":n}},[o]);var 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]/)){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"&&!this.mathvariant){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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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.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"},".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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w="",u,A,r,B,j,z;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(u>=55296&&u<56319){y++;u=(((u-55296)<<10)+(q.charCodeAt(y)-56320))+65536;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof 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l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.fontfamily&&!this.mathvariant){if(!j.fontweight&&j.mathvariant.match(/bold/)){j.fontweight="bold"}if(!j.fontstyle&&j.mathvariant.match(/italic/)){j.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.fontfamily,style:j.fontstyle,weight:j.fontweight}}}if(!this.mathvariant){if(j.fontweight==="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.fontweight==="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.fontstyle==="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.fontstyle==="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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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"&&!this.mathvariant){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]:null));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 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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-AMS-MML_HTMLorMML.js b/config/TeX-AMS-MML_HTMLorMML.js
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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){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*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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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diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js
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l},Comment:function(k){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(k){d.Error("You can't use 'macro parameter character #' in math mode")},Other:function(m){var l={stretchy:false},k;if(this.stack.env.font){l.mathvariant=this.stack.env.font}if(f.remap[m]){m=f.remap[m];if(m instanceof Array){l=m[1];m=m[0]}k=h.mo(h.entity("#x"+m)).With(l)}else{k=h.mo(m).With(l)}if(k.autoDefault("texClass",true)==""){k=h.TeXAtom(k)}this.Push(this.mmlToken(k))},SetFont:function(l,k){this.stack.env.font=k},SetStyle:function(l,k,m,n){this.stack.env.style=k;this.stack.env.level=n;this.Push(b.style().With({styles:{displaystyle:m,scriptlevel:n}}))},SetSize:function(k,l){this.stack.env.size=l;this.Push(b.style().With({styles:{mathsize:l+"em"}}))},Color:function(m){var l=this.GetArgument(m);var k=this.stack.env.color;this.stack.env.color=l;var n=this.ParseArg(m);if(k){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(n).With({mathcolor:l}))},Spacer:function(k,l){this.Push(h.mspace().With({width:l,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(k){this.Push(b[k.substr(1)]().With({delim:this.GetDelimiter(k)}))},Middle:function(k){var l=this.GetDelimiter(k);if(this.stack.Top().type!=="left"){d.Error(k+" must be within \\left and \\right")}this.Push(h.mo(l).With({stretchy:true}))},NamedFn:function(l,m){if(!m){m=l.substr(1)}var k=h.mi(m).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(k)))},NamedOp:function(l,m){if(!m){m=l.substr(1)}m=m.replace(/ /,"\u2006");var k=h.mo(m).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});k.useMMLspacing&=~k.SPACE_ATTR.form;this.Push(this.mmlToken(k))},Limits:function(l,k){var m=this.stack.Prev("nopop");if(m.texClass!==h.TEXCLASS.OP){d.Error(l+" is allowed only on operators")}m.movesupsub=(k?true:false);m.movablelimits=false},Over:function(m,l,n){var k=b.over().With({name:m});if(l||n){k.open=l;k.close=n}else{if(m.match(/withdelims$/)){k.open=this.GetDelimiter(m);k.close=this.GetDelimiter(m)}}if(m.match(/^\\above/)){k.thickness=this.GetDimen(m)}else{if(m.match(/^\\atop/)||l||n){k.thickness=0}}this.Push(k)},Frac:function(l){var k=this.ParseArg(l);var m=this.ParseArg(l);this.Push(h.mfrac(k,m))},Sqrt:function(m){var o=this.GetBrackets(m),k=this.GetArgument(m);if(k==="\\frac"){k+="{"+this.GetArgument(k)+"}{"+this.GetArgument(k)+"}"}var l=d.Parse(k,this.stack.env).mml();if(!o){l=h.msqrt.apply(h,l.array())}else{l=h.mroot(l,this.parseRoot(o))}this.Push(l)},Root:function(l){var m=this.GetUpTo(l,"\\of");var k=this.ParseArg(l);this.Push(h.mroot(k,this.parseRoot(m)))},parseRoot:function(p){var l=this.stack.env,k=l.inRoot;l.inRoot=true;var o=d.Parse(p,l);p=o.mml();var m=o.stack.global;if(m.leftRoot||m.upRoot){p=h.mpadded(p);if(m.leftRoot){p.width=m.leftRoot}if(m.upRoot){p.voffset=m.upRoot;p.height=m.upRoot}}l.inRoot=k;return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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 a dimension")}this.Push(b.cell().With({isCR:true,name:k,linebreak:true}));var m=this.stack.Top();if(m.isa(b.array)){if(o&&m.arraydef.rowspacing){var l=m.arraydef.rowspacing.split(/ /);if(!m.rowspacing){m.rowspacing=this.dimen2em(l[0])}while(l.length<m.table.length){l.push(m.rowspacing)}l[m.table.length-1]=(m.rowspacing+this.dimen2em(o))+"em";m.arraydef.rowspacing=l.join(" ")}}else{if(o){this.Push(h.mspace().With({depth:o}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(o){var l=o.match(/^((?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var k=parseFloat(l[1]||"1"),n=l[2];if(n==="em"){return k}if(n==="ex"){return k*0.43}if(n==="pt"){return k/10}if(n==="pc"){return k*1.2}if(n==="in"){return k*this.emPerInch}if(n==="cm"){return k*this.emPerInch/2.54}if(n==="mm"){return k*this.emPerInch/25.4}if(n==="mu"){return k/18}return 0},HLine:function(l,m){if(m==null){m="solid"}var n=this.stack.Top();if(!n.isa(b.array)||n.data.length){d.Error("Misplaced "+l)}if(n.table.length==0){n.frame.push("top")}else{var k=(n.arraydef.rowlines?n.arraydef.rowlines.split(/ /):[]);while(k.length<n.table.length){k.push("none")}k[n.table.length-1]=m;n.arraydef.rowlines=k.join(" ")}},Begin:function(l){var m=this.GetArgument(l);if(m.match(/[^a-z*]/i)){d.Error('Invalid environment name "'+m+'"')}var n=this.envFindName(m);if(!n){d.Error('Unknown environment "'+m+'"')}if(++this.macroCount>d.config.MAXMACROS){d.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?")}if(!(n instanceof Array)){n=[n]}var k=b.begin().With({name:m,end:n[1],parse:this});if(n[0]&&this[n[0]]){k=this[n[0]].apply(this,[k].concat(n.slice(2)))}this.Push(k)},End:function(k){this.Push(b.end().With({name:this.GetArgument(k)}))},envFindName:function(k){return f.environment[k]},Equation:function(k,l){return l},ExtensionEnv:function(l,k){this.Extension(l.name,k,"environment")},Array:function(l,n,s,q,r,m,k,o){if(!q){q=this.GetArgument("\\begin{"+l.name+"}")}var t=("c"+q).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");q=q.replace(/[^clr]/g,"").split("").join(" ");q=q.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var p=b.array().With({arraydef:{columnalign:q,columnspacing:(r||"1em"),rowspacing:(m||"4pt")}});if(t.match(/[|:]/)){if(t.charAt(0).match(/[|:]/)){p.frame.push("left");p.frame.dashed=t.charAt(0)===":"}if(t.charAt(t.length-1).match(/[|:]/)){p.frame.push("right")}t=t.substr(1,t.length-2);p.arraydef.columnlines=t.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(n){p.open=this.convertDelimiter(n)}if(s){p.close=this.convertDelimiter(s)}if(k==="D"){p.arraydef.displaystyle=true}if(k==="S"){p.arraydef.scriptlevel=1}if(o){p.arraydef.useHeight=false}this.Push(l);return p},AlignedArray:function(k){var l=this.GetBrackets("\\begin{"+k.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),l)},setArrayAlign:function(l,k){k=this.trimSpaces(k||"");if(k==="t"){l.arraydef.align="baseline 1"}else{if(k==="b"){l.arraydef.align="baseline -1"}else{if(k==="c"){l.arraydef.align="center"}else{if(k){l.arraydef.align=k}}}}return l},convertDelimiter:function(k){if(k){k=f.delimiter[k]}if(k==null){return null}if(k instanceof Array){k=k[0]}if(k.length===4){k=String.fromCharCode(parseInt(k,16))}return k},trimSpaces:function(k){if(typeof(k)!="string"){return k}return k.replace(/^\s+|\s+$/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 "+l)}return null;case"}":if(!m){d.Error("Extra close brace or missing open brace")}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var k=++this.i,n=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":n++;break;case"}":if(n==0){d.Error("Extra close brace")}if(--n==0){return this.string.slice(k,this.i-1)}break}}d.Error("Missing close brace");break}return this.string.charAt(this.i++)},GetBrackets:function(l,n){if(this.GetNext()!="["){return n}var k=++this.i,m=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":m++;break;case"\\":this.i++;break;case"}":if(m--<=0){d.Error("Extra close brace while looking for ']'")}break;case"]":if(m==0){return this.string.slice(k,this.i-1)}break}}d.Error("Couldn't find closing ']' for argument to "+l)},GetDelimiter:function(k){while(this.nextIsSpace()){this.i++}var 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*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}}}}}}}if(n!==""){d.Error("Math not terminated in text box")}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(l,k){l=l.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(l)).With(k)},SubstituteArgs:function(l,k){var o="";var n="";var p;var 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diff --git a/config/TeX-AMS-MML_SVG.js b/config/TeX-AMS-MML_SVG.js
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l=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(l=="\\"){l+=this.GetCS(k)}if(f.delimiter[l]!=null){return this.convertDelimiter(l)}}d.Error("Missing or unrecognized delimiter for "+k)},GetDimen:function(l){var m;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){m=this.GetArgument(l);if(m.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){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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m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}}}}}}}if(n!==""){d.Error("Math not terminated in text box")}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(l,k){l=l.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(l)).With(k)},SubstituteArgs:function(l,k){var o="";var n="";var p;var 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){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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diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
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l},Comment:function(k){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(k){d.Error("You can't use 'macro parameter character #' in math mode")},Other:function(m){var l={stretchy:false},k;if(this.stack.env.font){l.mathvariant=this.stack.env.font}if(f.remap[m]){m=f.remap[m];if(m instanceof Array){l=m[1];m=m[0]}k=h.mo(h.entity("#x"+m)).With(l)}else{k=h.mo(m).With(l)}if(k.autoDefault("texClass",true)==""){k=h.TeXAtom(k)}this.Push(this.mmlToken(k))},SetFont:function(l,k){this.stack.env.font=k},SetStyle:function(l,k,m,n){this.stack.env.style=k;this.stack.env.level=n;this.Push(b.style().With({styles:{displaystyle:m,scriptlevel:n}}))},SetSize:function(k,l){this.stack.env.size=l;this.Push(b.style().With({styles:{mathsize:l+"em"}}))},Color:function(m){var l=this.GetArgument(m);var k=this.stack.env.color;this.stack.env.color=l;var n=this.ParseArg(m);if(k){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(n).With({mathcolor:l}))},Spacer:function(k,l){this.Push(h.mspace().With({width:l,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(k){this.Push(b[k.substr(1)]().With({delim:this.GetDelimiter(k)}))},Middle:function(k){var l=this.GetDelimiter(k);if(this.stack.Top().type!=="left"){d.Error(k+" must be within \\left and \\right")}this.Push(h.mo(l).With({stretchy:true}))},NamedFn:function(l,m){if(!m){m=l.substr(1)}var k=h.mi(m).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(k)))},NamedOp:function(l,m){if(!m){m=l.substr(1)}m=m.replace(/ /,"\u2006");var k=h.mo(m).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});k.useMMLspacing&=~k.SPACE_ATTR.form;this.Push(this.mmlToken(k))},Limits:function(l,k){var m=this.stack.Prev("nopop");if(m.texClass!==h.TEXCLASS.OP){d.Error(l+" is allowed only on operators")}m.movesupsub=(k?true:false);m.movablelimits=false},Over:function(m,l,n){var k=b.over().With({name:m});if(l||n){k.open=l;k.close=n}else{if(m.match(/withdelims$/)){k.open=this.GetDelimiter(m);k.close=this.GetDelimiter(m)}}if(m.match(/^\\above/)){k.thickness=this.GetDimen(m)}else{if(m.match(/^\\atop/)||l||n){k.thickness=0}}this.Push(k)},Frac:function(l){var k=this.ParseArg(l);var m=this.ParseArg(l);this.Push(h.mfrac(k,m))},Sqrt:function(m){var 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 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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 a dimension")}this.Push(b.cell().With({isCR:true,name:k,linebreak:true}));var m=this.stack.Top();if(m.isa(b.array)){if(o&&m.arraydef.rowspacing){var l=m.arraydef.rowspacing.split(/ /);if(!m.rowspacing){m.rowspacing=this.dimen2em(l[0])}while(l.length<m.table.length){l.push(m.rowspacing)}l[m.table.length-1]=(m.rowspacing+this.dimen2em(o))+"em";m.arraydef.rowspacing=l.join(" ")}}else{if(o){this.Push(h.mspace().With({depth:o}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(o){var l=o.match(/^((?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var k=parseFloat(l[1]||"1"),n=l[2];if(n==="em"){return k}if(n==="ex"){return k*0.43}if(n==="pt"){return k/10}if(n==="pc"){return k*1.2}if(n==="in"){return k*this.emPerInch}if(n==="cm"){return k*this.emPerInch/2.54}if(n==="mm"){return k*this.emPerInch/25.4}if(n==="mu"){return k/18}return 0},HLine:function(l,m){if(m==null){m="solid"}var n=this.stack.Top();if(!n.isa(b.array)||n.data.length){d.Error("Misplaced "+l)}if(n.table.length==0){n.frame.push("top")}else{var k=(n.arraydef.rowlines?n.arraydef.rowlines.split(/ /):[]);while(k.length<n.table.length){k.push("none")}k[n.table.length-1]=m;n.arraydef.rowlines=k.join(" ")}},Begin:function(l){var m=this.GetArgument(l);if(m.match(/[^a-z*]/i)){d.Error('Invalid environment name "'+m+'"')}var n=this.envFindName(m);if(!n){d.Error('Unknown environment "'+m+'"')}if(++this.macroCount>d.config.MAXMACROS){d.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?")}if(!(n instanceof Array)){n=[n]}var k=b.begin().With({name:m,end:n[1],parse:this});if(n[0]&&this[n[0]]){k=this[n[0]].apply(this,[k].concat(n.slice(2)))}this.Push(k)},End:function(k){this.Push(b.end().With({name:this.GetArgument(k)}))},envFindName:function(k){return f.environment[k]},Equation:function(k,l){return l},ExtensionEnv:function(l,k){this.Extension(l.name,k,"environment")},Array:function(l,n,s,q,r,m,k,o){if(!q){q=this.GetArgument("\\begin{"+l.name+"}")}var t=("c"+q).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");q=q.replace(/[^clr]/g,"").split("").join(" ");q=q.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var p=b.array().With({arraydef:{columnalign:q,columnspacing:(r||"1em"),rowspacing:(m||"4pt")}});if(t.match(/[|:]/)){if(t.charAt(0).match(/[|:]/)){p.frame.push("left");p.frame.dashed=t.charAt(0)===":"}if(t.charAt(t.length-1).match(/[|:]/)){p.frame.push("right")}t=t.substr(1,t.length-2);p.arraydef.columnlines=t.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(n){p.open=this.convertDelimiter(n)}if(s){p.close=this.convertDelimiter(s)}if(k==="D"){p.arraydef.displaystyle=true}if(k==="S"){p.arraydef.scriptlevel=1}if(o){p.arraydef.useHeight=false}this.Push(l);return p},AlignedArray:function(k){var l=this.GetBrackets("\\begin{"+k.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),l)},setArrayAlign:function(l,k){k=this.trimSpaces(k||"");if(k==="t"){l.arraydef.align="baseline 1"}else{if(k==="b"){l.arraydef.align="baseline -1"}else{if(k==="c"){l.arraydef.align="center"}else{if(k){l.arraydef.align=k}}}}return l},convertDelimiter:function(k){if(k){k=f.delimiter[k]}if(k==null){return null}if(k instanceof Array){k=k[0]}if(k.length===4){k=String.fromCharCode(parseInt(k,16))}return k},trimSpaces:function(k){if(typeof(k)!="string"){return k}return k.replace(/^\s+|\s+$/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 "+l)}return null;case"}":if(!m){d.Error("Extra close brace or missing open brace")}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var k=++this.i,n=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":n++;break;case"}":if(n==0){d.Error("Extra close brace")}if(--n==0){return this.string.slice(k,this.i-1)}break}}d.Error("Missing close brace");break}return this.string.charAt(this.i++)},GetBrackets:function(l,n){if(this.GetNext()!="["){return n}var k=++this.i,m=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":m++;break;case"\\":this.i++;break;case"}":if(m--<=0){d.Error("Extra close brace while looking for ']'")}break;case"]":if(m==0){return this.string.slice(k,this.i-1)}break}}d.Error("Couldn't find closing ']' for argument to "+l)},GetDelimiter:function(k){while(this.nextIsSpace()){this.i++}var 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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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+=" 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"},".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.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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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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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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}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"&&!this.mathvariant){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.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"]);
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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"},".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 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l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.fontfamily&&!this.mathvariant){if(!j.fontweight&&j.mathvariant.match(/bold/)){j.fontweight="bold"}if(!j.fontstyle&&j.mathvariant.match(/italic/)){j.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.fontfamily,style:j.fontstyle,weight:j.fontweight}}}if(!this.mathvariant){if(j.fontweight==="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.fontweight==="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.fontstyle==="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.fontstyle==="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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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"&&!this.mathvariant){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]:null));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 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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_HTML.js b/config/TeX-AMS_HTML.js
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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){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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diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
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l},Comment:function(k){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(k){d.Error("You can't use 'macro parameter character #' in math mode")},Other:function(m){var l={stretchy:false},k;if(this.stack.env.font){l.mathvariant=this.stack.env.font}if(f.remap[m]){m=f.remap[m];if(m instanceof Array){l=m[1];m=m[0]}k=h.mo(h.entity("#x"+m)).With(l)}else{k=h.mo(m).With(l)}if(k.autoDefault("texClass",true)==""){k=h.TeXAtom(k)}this.Push(this.mmlToken(k))},SetFont:function(l,k){this.stack.env.font=k},SetStyle:function(l,k,m,n){this.stack.env.style=k;this.stack.env.level=n;this.Push(b.style().With({styles:{displaystyle:m,scriptlevel:n}}))},SetSize:function(k,l){this.stack.env.size=l;this.Push(b.style().With({styles:{mathsize:l+"em"}}))},Color:function(m){var l=this.GetArgument(m);var k=this.stack.env.color;this.stack.env.color=l;var n=this.ParseArg(m);if(k){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(n).With({mathcolor:l}))},Spacer:function(k,l){this.Push(h.mspace().With({width:l,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(k){this.Push(b[k.substr(1)]().With({delim:this.GetDelimiter(k)}))},Middle:function(k){var l=this.GetDelimiter(k);if(this.stack.Top().type!=="left"){d.Error(k+" must be within \\left and \\right")}this.Push(h.mo(l).With({stretchy:true}))},NamedFn:function(l,m){if(!m){m=l.substr(1)}var k=h.mi(m).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(k)))},NamedOp:function(l,m){if(!m){m=l.substr(1)}m=m.replace(/ /,"\u2006");var k=h.mo(m).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});k.useMMLspacing&=~k.SPACE_ATTR.form;this.Push(this.mmlToken(k))},Limits:function(l,k){var m=this.stack.Prev("nopop");if(m.texClass!==h.TEXCLASS.OP){d.Error(l+" is allowed only on operators")}m.movesupsub=(k?true:false);m.movablelimits=false},Over:function(m,l,n){var k=b.over().With({name:m});if(l||n){k.open=l;k.close=n}else{if(m.match(/withdelims$/)){k.open=this.GetDelimiter(m);k.close=this.GetDelimiter(m)}}if(m.match(/^\\above/)){k.thickness=this.GetDimen(m)}else{if(m.match(/^\\atop/)||l||n){k.thickness=0}}this.Push(k)},Frac:function(l){var k=this.ParseArg(l);var m=this.ParseArg(l);this.Push(h.mfrac(k,m))},Sqrt:function(m){var 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 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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 a dimension")}this.Push(b.cell().With({isCR:true,name:k,linebreak:true}));var m=this.stack.Top();if(m.isa(b.array)){if(o&&m.arraydef.rowspacing){var l=m.arraydef.rowspacing.split(/ /);if(!m.rowspacing){m.rowspacing=this.dimen2em(l[0])}while(l.length<m.table.length){l.push(m.rowspacing)}l[m.table.length-1]=(m.rowspacing+this.dimen2em(o))+"em";m.arraydef.rowspacing=l.join(" ")}}else{if(o){this.Push(h.mspace().With({depth:o}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(o){var l=o.match(/^((?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var k=parseFloat(l[1]||"1"),n=l[2];if(n==="em"){return k}if(n==="ex"){return k*0.43}if(n==="pt"){return k/10}if(n==="pc"){return k*1.2}if(n==="in"){return k*this.emPerInch}if(n==="cm"){return k*this.emPerInch/2.54}if(n==="mm"){return k*this.emPerInch/25.4}if(n==="mu"){return k/18}return 0},HLine:function(l,m){if(m==null){m="solid"}var n=this.stack.Top();if(!n.isa(b.array)||n.data.length){d.Error("Misplaced "+l)}if(n.table.length==0){n.frame.push("top")}else{var k=(n.arraydef.rowlines?n.arraydef.rowlines.split(/ /):[]);while(k.length<n.table.length){k.push("none")}k[n.table.length-1]=m;n.arraydef.rowlines=k.join(" ")}},Begin:function(l){var m=this.GetArgument(l);if(m.match(/[^a-z*]/i)){d.Error('Invalid environment name "'+m+'"')}var n=this.envFindName(m);if(!n){d.Error('Unknown environment "'+m+'"')}if(++this.macroCount>d.config.MAXMACROS){d.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?")}if(!(n instanceof Array)){n=[n]}var k=b.begin().With({name:m,end:n[1],parse:this});if(n[0]&&this[n[0]]){k=this[n[0]].apply(this,[k].concat(n.slice(2)))}this.Push(k)},End:function(k){this.Push(b.end().With({name:this.GetArgument(k)}))},envFindName:function(k){return f.environment[k]},Equation:function(k,l){return l},ExtensionEnv:function(l,k){this.Extension(l.name,k,"environment")},Array:function(l,n,s,q,r,m,k,o){if(!q){q=this.GetArgument("\\begin{"+l.name+"}")}var t=("c"+q).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");q=q.replace(/[^clr]/g,"").split("").join(" ");q=q.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var p=b.array().With({arraydef:{columnalign:q,columnspacing:(r||"1em"),rowspacing:(m||"4pt")}});if(t.match(/[|:]/)){if(t.charAt(0).match(/[|:]/)){p.frame.push("left");p.frame.dashed=t.charAt(0)===":"}if(t.charAt(t.length-1).match(/[|:]/)){p.frame.push("right")}t=t.substr(1,t.length-2);p.arraydef.columnlines=t.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(n){p.open=this.convertDelimiter(n)}if(s){p.close=this.convertDelimiter(s)}if(k==="D"){p.arraydef.displaystyle=true}if(k==="S"){p.arraydef.scriptlevel=1}if(o){p.arraydef.useHeight=false}this.Push(l);return p},AlignedArray:function(k){var l=this.GetBrackets("\\begin{"+k.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),l)},setArrayAlign:function(l,k){k=this.trimSpaces(k||"");if(k==="t"){l.arraydef.align="baseline 1"}else{if(k==="b"){l.arraydef.align="baseline -1"}else{if(k==="c"){l.arraydef.align="center"}else{if(k){l.arraydef.align=k}}}}return l},convertDelimiter:function(k){if(k){k=f.delimiter[k]}if(k==null){return null}if(k instanceof Array){k=k[0]}if(k.length===4){k=String.fromCharCode(parseInt(k,16))}return k},trimSpaces:function(k){if(typeof(k)!="string"){return k}return k.replace(/^\s+|\s+$/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 "+l)}return null;case"}":if(!m){d.Error("Extra close brace or missing open brace")}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var k=++this.i,n=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":n++;break;case"}":if(n==0){d.Error("Extra close brace")}if(--n==0){return this.string.slice(k,this.i-1)}break}}d.Error("Missing close brace");break}return this.string.charAt(this.i++)},GetBrackets:function(l,n){if(this.GetNext()!="["){return n}var k=++this.i,m=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":m++;break;case"\\":this.i++;break;case"}":if(m--<=0){d.Error("Extra close brace while looking for ']'")}break;case"]":if(m==0){return this.string.slice(k,this.i-1)}break}}d.Error("Couldn't find closing ']' for argument to "+l)},GetDelimiter:function(k){while(this.nextIsSpace()){this.i++}var 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*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}}}}}}}if(n!==""){d.Error("Math not terminated in text box")}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(l,k){l=l.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(l)).With(k)},SubstituteArgs:function(l,k){var o="";var n="";var p;var m=0;while(m<k.length){p=k.charAt(m++);if(p==="\\"){o+=p+k.charAt(m++)}else{if(p==="#"){p=k.charAt(m++);if(p==="#"){o+=p}else{if(!p.match(/[1-9]/)||p>l.length){d.Error("Illegal macro parameter reference")}n=this.AddArgs(this.AddArgs(n,o),l[p-1]);o=""}}else{o+=p}}}return this.AddArgs(n,o)},AddArgs:function(l,k){if(k.match(/^[a-z]/i)&&l.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){l+=" "}if(l.length+k.length>d.config.MAXBUFFER){d.Error("MathJax internal buffer size exceeded; is there a recursive macro call?")}return l+k}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:j,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:"TeX Commands",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(k){var l,m=false,o=k.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");var q=(k.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var p={math:o,display:q,script:k};this.prefilterHooks.Execute(p);o=p.math;try{l=d.Parse(o).mml()}catch(n){if(!n.texError){throw n}l=this.formatError(n,o,q,k);m=true}if(l.inferred){l=h.apply(MathJax.ElementJax,l.data)}else{l=h(l)}if(q){l.root.display="block"}if(m){l.texError=true}p.math=l;this.postfilterHooks.Execute(p);return p.math},prefilterMath:function(l,m,k){if(c.Browser.isKonqueror){l=l.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&")}return l.replace(/([_^]\s*\d)([0-9.,])/g,"$1 $2")},postfilterMath:function(l,m,k){this.combineRelations(l.root);return l},formatError:function(n,m,o,k){var l=n.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",l,m,o,k]);return h.merror(l)},Error:function(k){throw c.Insert(Error(k),{texError:true})},Macro:function(k,l,m){f.macros[k]=["Macro"].concat([].slice.call(arguments,1));f.macros[k].isUser=true},combineRelations:function(o){var p,k,n,l;for(p=0,k=o.data.length;p<k;p++){if(o.data[p]){if(o.isa(h.mrow)){while(p+1<k&&(n=o.data[p])&&(l=o.data[p+1])&&n.isa(h.mo)&&l.isa(h.mo)&&n.Get("texClass")===h.TEXCLASS.REL&&l.Get("texClass")===h.TEXCLASS.REL){if(n.variantForm==l.variantForm&&n.Get("mathvariant")==l.Get("mathvariant")&&n.style==l.style&&n["class"]==l["class"]&&!n.id&&!l.id){n.Append.apply(n,l.data);o.data.splice(p+1,1);k--}else{n.rspace=l.lspace="0pt";p++}}}if(!o.data[p].isToken){this.combineRelations(o.data[p])}}}}});d.prefilterHooks.Add(function(k){k.math=d.prefilterMath(k.math,k.display,k.script)});d.postfilterHooks.Add(function(k){k.math=d.postfilterMath(k.math,k.display,k.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
MathJax.Extension["TeX/AMSmath"]={version:"2.0",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(h){return h.join("em ")+"em"};d.Add({macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],intI:["Macro","\\mathchoice{\\!}{}{}{}\\!\\!\\int"],iiiint:["MultiIntegral","\\int\\intI\\intI\\intI"],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Macro","\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}",1],ddddot:["Macro","\\mathop{#1}\\limits^{\\textstyle 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lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(j+" not allowed in "+k.notags+" environment")}if(k.tag){g.Error("Multiple "+j)}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(!f.refUpdate){if(j.label){g.Error("Multiple "+i+"'s")}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error("Label '"+h+"' mutiply defined")}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(i+" must come at the beginning of the line")}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error("Illegal alignment specified in "+k)}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=b.mfenced(j).With({open:k,close:p})}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error("Bad math style for "+i)}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error("Argument to \\begin{"+k.name+"} must me a positive integer")}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error("Erroneous nesting of equation structures")}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error("Missing or unrecognized delimiter for "+h)}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error("multline rows must have exactly one column")}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
@@ -87,7 +87,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0"};MathJax.Hub.Register.Startup
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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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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(x,l,q){var 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k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof Array){l=this.FONTDATA.VARIANT[u[1]];u=u[0]}if(typeof(u)==="string"){q=u+q.substr(y+1);y=0;v=q.length;u=u.charCodeAt(0)}}r=this.lookupChar(l,u);A=r[u];j=x;if((l!==z||r.family!==x.style.fontFamily)&&!A[5].img){if(w.length){this.addText(x,w);w=""}if(x.style.fontFamily){j=this.addElement(x,"span",{isMathJax:true})}this.handleFont(j,r,j!==x);z=l}w=this.handleChar(j,r,A,u,w);if(A[0]/1000>x.bbox.h){x.bbox.h=A[0]/1000}if(A[1]/1000>x.bbox.d){x.bbox.d=A[1]/1000}if(x.bbox.w+A[3]/1000<x.bbox.lw){x.bbox.lw=x.bbox.w+A[3]/1000}if(x.bbox.w+A[4]/1000>x.bbox.rw){x.bbox.rw=x.bbox.w+A[4]/1000}x.bbox.w+=A[2]/1000}if(w.length){this.addText(j,w)}if(x.scale&&x.scale!==1){x.bbox.h*=x.scale;x.bbox.d*=x.scale;x.bbox.w*=x.scale;x.bbox.lw*=x.scale;x.bbox.rw*=x.scale}if(q.length==1&&r.skew&&r.skew[u]){x.bbox.skew=r.skew[u]}},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 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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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w=this.getValues("mathcolor","color");if(this.mathbackground){w.mathbackground=this.mathbackground}if(this.background){w.background=this.background}if(this.style&&u.style.backgroundColor){w.mathbackground=u.style.backgroundColor;u.style.backgroundColor="transparent"}var r=(this.styles||{}).border,t=(this.styles||{}).padding;if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.background&&!this.mathbackground){w.mathbackground=w.background}if(w.mathcolor){u.style.color=w.mathcolor}if((w.mathbackground&&w.mathbackground!==f.COLOR.TRANSPARENT)||r||t){var x=(u.bbox.exact?0:1/d.em),s=0,q=0,k=u.style.paddingLeft,o=u.style.paddingRight;if(this.isToken){s=u.bbox.lw;q=u.bbox.rw-u.bbox.w}if(k!==""){s+=parseFloat(k)*(u.scale||1)}if(o!==""){q-=parseFloat(o)*(u.scale||1)}var m=Math.max(0,d.getW(u)+(d.PaddingWidthBug||u.bbox.keepPadding?0:q-s));var v=u.bbox.h+u.bbox.d,j=-u.bbox.d,p=0,n=0;if(m>0){m+=2*x;s-=x}if(v>0){v+=2*x;j-=x}q=-m-s;if(r){q-=r.right;j-=r.bottom;p+=r.left;n+=r.right;u.bbox.h+=r.top;u.bbox.d+=r.bottom;u.bbox.w+=r.left+r.right;u.bbox.lw-=r.left;u.bbox.rw+=r.right}if(t){v+=t.top+t.bottom;m+=t.left+t.right;q-=t.right;j-=t.bottom;p+=t.left;n+=t.right;u.bbox.h+=t.top;u.bbox.d+=t.bottom;u.bbox.w+=t.left+t.right;u.bbox.lw-=t.left;u.bbox.rw+=t.right}if(n){u.style.paddingRight=d.Em(n)}var l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var 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d.FONTDATA.VARIANT[k]}},{HTMLautoload:function(){var j=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(g.Require(j))},HTMLautoloadFile:function(j){var k=d.autoloadDir+"/"+j+".js";b.RestartAfter(g.Require(k))},HTMLstretchH:function(k,j){this.HTMLremoveColor();return this.toHTML(k,j)},HTMLstretchV:function(k,j,l){this.HTMLremoveColor();return this.toHTML(k,j,l)}});f.chars.Augment({toHTML:function(m,l,k,n){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){q=k(q,n)}if(!l){var p=Math.floor(100/d.scale+0.5)+"%";d.addElement(m,"span",{style:{"font-size":p}},[q]);var o=d.getHD(m),j=d.getW(m);m.bbox={h:o.h,d:o.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(m,l,q)}}});f.entity.Augment({toHTML:function(l,k){var o=this.toString().replace(/[\u2061-\u2064]/g,"");if(!k){var n=Math.floor(100/d.scale+0.5)+"%";d.addElement(l,"span",{style:{"font-size":n}},[o]);var 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]/)){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"&&!this.mathvariant){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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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.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"},".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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w="",u,A,r,B,j,z;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(u>=55296&&u<56319){y++;u=(((u-55296)<<10)+(q.charCodeAt(y)-56320))+65536;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var k=l.remap[u];u=k[0];l=this.FONTDATA.VARIANT[k[1]]}else{if(typeof(l.remap[u])==="string"){q=l.remap[u]+q.substr(y+1);y=0;v=q.length;u=q.charCodeAt(0)}else{u=l.remap[u];if(l.remap.variant){l=this.FONTDATA.VARIANT[l.remap.variant]}}}}if(this.FONTDATA.REMAP[u]&&!l.noRemap){u=this.FONTDATA.REMAP[u];if(u instanceof 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l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.fontfamily&&!this.mathvariant){if(!j.fontweight&&j.mathvariant.match(/bold/)){j.fontweight="bold"}if(!j.fontstyle&&j.mathvariant.match(/italic/)){j.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.fontfamily,style:j.fontstyle,weight:j.fontweight}}}if(!this.mathvariant){if(j.fontweight==="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.fontweight==="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.fontstyle==="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.fontstyle==="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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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"&&!this.mathvariant){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]:null));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 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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.js b/config/TeX-MML-AM_HTMLorMML.js
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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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l=this.GetArgument(k).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,l)},Extension:function(k,l,m){if(k&&!typeof(k)==="string"){k=k.name}l=d.extensionDir+"/"+l;if(!l.match(/\.js$/)){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*$/)){return m.replace(/ /g,"")}}else{m=this.string.slice(this.i);var k=m.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(k){this.i+=k[0].length;return k[1].replace(/ /g,"")}}d.Error("Missing dimension or its units for "+l)},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error("Extra close brace while looking for "+o)}p--;break}if(p==0&&q==o){return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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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diff --git a/jax/input/TeX/jax.js b/jax/input/TeX/jax.js
@@ -12,5 +12,5 @@
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l},Comment:function(k){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(k){d.Error("You can't use 'macro parameter character #' in math mode")},Other:function(m){var l={stretchy:false},k;if(this.stack.env.font){l.mathvariant=this.stack.env.font}if(f.remap[m]){m=f.remap[m];if(m instanceof Array){l=m[1];m=m[0]}k=h.mo(h.entity("#x"+m)).With(l)}else{k=h.mo(m).With(l)}if(k.autoDefault("texClass",true)==""){k=h.TeXAtom(k)}this.Push(this.mmlToken(k))},SetFont:function(l,k){this.stack.env.font=k},SetStyle:function(l,k,m,n){this.stack.env.style=k;this.stack.env.level=n;this.Push(b.style().With({styles:{displaystyle:m,scriptlevel:n}}))},SetSize:function(k,l){this.stack.env.size=l;this.Push(b.style().With({styles:{mathsize:l+"em"}}))},Color:function(m){var l=this.GetArgument(m);var k=this.stack.env.color;this.stack.env.color=l;var n=this.ParseArg(m);if(k){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(n).With({mathcolor:l}))},Spacer:function(k,l){this.Push(h.mspace().With({width:l,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(k){this.Push(b[k.substr(1)]().With({delim:this.GetDelimiter(k)}))},Middle:function(k){var l=this.GetDelimiter(k);if(this.stack.Top().type!=="left"){d.Error(k+" must be within \\left and \\right")}this.Push(h.mo(l).With({stretchy:true}))},NamedFn:function(l,m){if(!m){m=l.substr(1)}var k=h.mi(m).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(k)))},NamedOp:function(l,m){if(!m){m=l.substr(1)}m=m.replace(/ /,"\u2006");var k=h.mo(m).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});k.useMMLspacing&=~k.SPACE_ATTR.form;this.Push(this.mmlToken(k))},Limits:function(l,k){var m=this.stack.Prev("nopop");if(m.texClass!==h.TEXCLASS.OP){d.Error(l+" is allowed only on operators")}m.movesupsub=(k?true:false);m.movablelimits=false},Over:function(m,l,n){var k=b.over().With({name:m});if(l||n){k.open=l;k.close=n}else{if(m.match(/withdelims$/)){k.open=this.GetDelimiter(m);k.close=this.GetDelimiter(m)}}if(m.match(/^\\above/)){k.thickness=this.GetDimen(m)}else{if(m.match(/^\\atop/)||l||n){k.thickness=0}}this.Push(k)},Frac:function(l){var k=this.ParseArg(l);var m=this.ParseArg(l);this.Push(h.mfrac(k,m))},Sqrt:function(m){var o=this.GetBrackets(m),k=this.GetArgument(m);if(k==="\\frac"){k+="{"+this.GetArgument(k)+"}{"+this.GetArgument(k)+"}"}var l=d.Parse(k,this.stack.env).mml();if(!o){l=h.msqrt.apply(h,l.array())}else{l=h.mroot(l,this.parseRoot(o))}this.Push(l)},Root:function(l){var m=this.GetUpTo(l,"\\of");var k=this.ParseArg(l);this.Push(h.mroot(k,this.parseRoot(m)))},parseRoot:function(p){var l=this.stack.env,k=l.inRoot;l.inRoot=true;var o=d.Parse(p,l);p=o.mml();var m=o.stack.global;if(m.leftRoot||m.upRoot){p=h.mpadded(p);if(m.leftRoot){p.width=m.leftRoot}if(m.upRoot){p.voffset=m.upRoot;p.height=m.upRoot}}l.inRoot=k;return 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m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.mover(l,m))},Underset:function(k){var m=this.ParseArg(k),l=this.ParseArg(k);this.Push(h.munder(l,m))},TeXAtom:function(n,p){var o={texClass:p},m;if(p==h.TEXCLASS.OP){o.movesupsub=o.movablelimits=true;var k=this.GetArgument(n);var l=k.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(l){o.mathvariant=h.VARIANT.NORMAL;m=b.fn(this.mmlToken(h.mi(l[1]).With(o)))}else{m=b.fn(h.TeXAtom(d.Parse(k,this.stack.env).mml()).With(o))}}else{m=h.TeXAtom(this.ParseArg(n)).With(o)}this.Push(m)},MmlToken:function(m){var n=this.GetArgument(m),k=this.GetBrackets(m,"").replace(/^\s+/,""),p=this.GetArgument(m),o={attrNames:[]},l;if(!h[n]||!h[n].prototype.isToken){d.Error(n+" is not a token element")}while(k!==""){l=k.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!l){d.Error("Invalid MathML attribute: "+k)}if(!h[n].prototype.defaults[l[1]]&&!this.MmlTokenAllow[l[1]]){d.Error(l[1]+" is not a recognized attribute for 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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 a dimension")}this.Push(b.cell().With({isCR:true,name:k,linebreak:true}));var m=this.stack.Top();if(m.isa(b.array)){if(o&&m.arraydef.rowspacing){var l=m.arraydef.rowspacing.split(/ /);if(!m.rowspacing){m.rowspacing=this.dimen2em(l[0])}while(l.length<m.table.length){l.push(m.rowspacing)}l[m.table.length-1]=(m.rowspacing+this.dimen2em(o))+"em";m.arraydef.rowspacing=l.join(" ")}}else{if(o){this.Push(h.mspace().With({depth:o}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(o){var l=o.match(/^((?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var k=parseFloat(l[1]||"1"),n=l[2];if(n==="em"){return k}if(n==="ex"){return k*0.43}if(n==="pt"){return k/10}if(n==="pc"){return k*1.2}if(n==="in"){return k*this.emPerInch}if(n==="cm"){return k*this.emPerInch/2.54}if(n==="mm"){return k*this.emPerInch/25.4}if(n==="mu"){return k/18}return 0},HLine:function(l,m){if(m==null){m="solid"}var n=this.stack.Top();if(!n.isa(b.array)||n.data.length){d.Error("Misplaced "+l)}if(n.table.length==0){n.frame.push("top")}else{var k=(n.arraydef.rowlines?n.arraydef.rowlines.split(/ /):[]);while(k.length<n.table.length){k.push("none")}k[n.table.length-1]=m;n.arraydef.rowlines=k.join(" ")}},Begin:function(l){var m=this.GetArgument(l);if(m.match(/[^a-z*]/i)){d.Error('Invalid environment name "'+m+'"')}var n=this.envFindName(m);if(!n){d.Error('Unknown environment "'+m+'"')}if(++this.macroCount>d.config.MAXMACROS){d.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?")}if(!(n instanceof Array)){n=[n]}var k=b.begin().With({name:m,end:n[1],parse:this});if(n[0]&&this[n[0]]){k=this[n[0]].apply(this,[k].concat(n.slice(2)))}this.Push(k)},End:function(k){this.Push(b.end().With({name:this.GetArgument(k)}))},envFindName:function(k){return f.environment[k]},Equation:function(k,l){return l},ExtensionEnv:function(l,k){this.Extension(l.name,k,"environment")},Array:function(l,n,s,q,r,m,k,o){if(!q){q=this.GetArgument("\\begin{"+l.name+"}")}var t=("c"+q).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");q=q.replace(/[^clr]/g,"").split("").join(" ");q=q.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var p=b.array().With({arraydef:{columnalign:q,columnspacing:(r||"1em"),rowspacing:(m||"4pt")}});if(t.match(/[|:]/)){if(t.charAt(0).match(/[|:]/)){p.frame.push("left");p.frame.dashed=t.charAt(0)===":"}if(t.charAt(t.length-1).match(/[|:]/)){p.frame.push("right")}t=t.substr(1,t.length-2);p.arraydef.columnlines=t.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(n){p.open=this.convertDelimiter(n)}if(s){p.close=this.convertDelimiter(s)}if(k==="D"){p.arraydef.displaystyle=true}if(k==="S"){p.arraydef.scriptlevel=1}if(o){p.arraydef.useHeight=false}this.Push(l);return p},AlignedArray:function(k){var l=this.GetBrackets("\\begin{"+k.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),l)},setArrayAlign:function(l,k){k=this.trimSpaces(k||"");if(k==="t"){l.arraydef.align="baseline 1"}else{if(k==="b"){l.arraydef.align="baseline -1"}else{if(k==="c"){l.arraydef.align="center"}else{if(k){l.arraydef.align=k}}}}return l},convertDelimiter:function(k){if(k){k=f.delimiter[k]}if(k==null){return null}if(k instanceof Array){k=k[0]}if(k.length===4){k=String.fromCharCode(parseInt(k,16))}return k},trimSpaces:function(k){if(typeof(k)!="string"){return k}return k.replace(/^\s+|\s+$/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 "+l)}return null;case"}":if(!m){d.Error("Extra close brace or missing open brace")}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var k=++this.i,n=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":n++;break;case"}":if(n==0){d.Error("Extra close brace")}if(--n==0){return this.string.slice(k,this.i-1)}break}}d.Error("Missing close brace");break}return this.string.charAt(this.i++)},GetBrackets:function(l,n){if(this.GetNext()!="["){return n}var k=++this.i,m=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":m++;break;case"\\":this.i++;break;case"}":if(m--<=0){d.Error("Extra close brace while looking for ']'")}break;case"]":if(m==0){return this.string.slice(k,this.i-1)}break}}d.Error("Couldn't find closing ']' for argument to "+l)},GetDelimiter:function(k){while(this.nextIsSpace()){this.i++}var 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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m=i.Font.div;p.addElement(m,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE38C\uE38C\uE38C\uE38C\uE38C"]);p.addElement(m,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE39A\uE39A\uE39A\uE39A\uE39A"]);if(m.lastChild.previousSibling.offsetWidth<m.lastChild.offsetWidth){e.push(["Require",MathJax.Ajax,i.fontDir+"/fontdata-1.0.js"])}m.removeChild(m.lastChild);m.removeChild(m.lastChild);if(!i.Font.testFont({family:"STIXSizeOneSym",testString:"\u02C6"})){e.push(["Require",MathJax.Ajax,i.fontDir+"/fontdata-beta.js"])}e.push(["loadComplete",MathJax.Ajax,i.fontDir+"/fontdata.js"]);MathJax.Callback.Queue.apply(MathJax.Callback,e)})(MathJax.OutputJax["HTML-CSS"],MathJax.HTML);
diff --git 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"},".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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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(x,l,q){var w="",u,A,r,B,j,z;if(q.length===0){return}if(!x.bbox){x.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!l){l=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}B=l;for(var y=0,v=q.length;y<v;y++){l=B;u=q.charCodeAt(y);A=q.charAt(y);if(u>=55296&&u<56319){y++;u=(((u-55296)<<10)+(q.charCodeAt(y)-56320))+65536;if(this.FONTDATA.RemapPlane1){var C=this.FONTDATA.RemapPlane1(u,l);u=C.n;l=C.variant}}else{var s,p,t=this.FONTDATA.RANGES;for(s=0,p=t.length;s<p;s++){if(t[s].name==="alpha"&&l.noLowerCase){continue}var o=l["offset"+t[s].offset];if(o&&u>=t[s].low&&u<=t[s].high){if(t[s].remap&&t[s].remap[u]){u=o+t[s].remap[u]}else{u=u-t[s].low+o;if(t[s].add){u+=t[s].add}}if(l["variant"+t[s].offset]){l=this.FONTDATA.VARIANT[l["variant"+t[s].offset]]}break}}}if(l.remap&&l.remap[u]){if(l.remap[u] instanceof Array){var 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l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.fontfamily&&!this.mathvariant){if(!j.fontweight&&j.mathvariant.match(/bold/)){j.fontweight="bold"}if(!j.fontstyle&&j.mathvariant.match(/italic/)){j.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.fontfamily,style:j.fontstyle,weight:j.fontweight}}}if(!this.mathvariant){if(j.fontweight==="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.fontweight==="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.fontstyle==="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.fontstyle==="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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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]/)){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"&&!this.mathvariant){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]:null));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.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"},".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.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)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<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 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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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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 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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"&&!this.mathvariant){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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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]:null));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.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/input/TeX/jax.js b/unpacked/jax/input/TeX/jax.js
@@ -1183,7 +1183,7 @@
var sup = ""; this.i--;
do {sup += this.PRIME; this.i++, c = this.GetNext()}
while (c === "'" || c === this.SMARTQUOTE);
- sup = this.mmlToken(MML.mo(MML.chars(sup)).With({isPrime: true, variantForm: TEX.isSTIX}));
+ sup = this.mmlToken(MML.mo(MML.chars(sup)).With({isPrime: true}));
this.Push(MML.msup(base,sup));
},
mi2mo: function (mi) {
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js
@@ -459,7 +459,6 @@
TEX.isSTIX = true;
TEX.Definitions.mathchar0mi.hbar = ['210F',{variantForm: true}];
- TEX.Definitions.mathchar0mi.prime[1].variantForm = true;
TEX.Definitions.mathchar0mi.emptyset[1].variantForm = true;
TEX.Definitions.mathchar0mi.backslash[1].variantForm = true;
TEX.Definitions.mathchar0mi.triangle[1].mathsize = "71%";
diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js
@@ -1902,7 +1902,7 @@
//
// STIX fonts need quotes from variant font
//
- if (isScript && HTMLCSS.fontInUse === "STIX" && text.match(/['`"\u00B4]/))
+ if (isScript && HTMLCSS.fontInUse === "STIX" && text.match(/['`"\u00B4\u2032-\u2037]/))
{variant = HTMLCSS.FONTDATA.VARIANT["-STIX-variant"]}
//
// Typeset contents
