commit 70898d0d41b4d0003657cce0b5480f8f9db3d2d0 parent 3e5c8181f71e4b89a4988ad08b9c07fb5f236951 Author: Davide P. Cervone <dpvc@union.edu> Date: Wed, 15 Feb 2012 17:05:21 -0500 Merge branch 'v2.0-candidate' into doc-update Diffstat:
184 files changed, 1552 insertions(+), 1538 deletions(-)
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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var 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n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}})}var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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/*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+k+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+k+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+k+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+k+"/MathJax_Caligraphic-Bold.otf')"}}}})}e.math.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type),q=n;n.setAttribute("xmlns",j.MMLnamespace);this.NativeMMLattributes(n);if(j.widthBug){n=n.appendChild(this.NativeMMLelement("mrow"))}for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true;j.widthBug=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML); -(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;p=this.div.offsetWidth;for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip 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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";p.preview.style.visibility="hidden";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); +(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.innerHTML="";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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l=o.remap[w];w=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{if(typeof(o.remap[w])==="string"){r=o.remap[w]+r.substr(A+1);A=0;x=r.length;w=r.charCodeAt(0)}else{w=o.remap[w];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}}if(this.FONTDATA.REMAP[w]&&!o.noRemap){w=this.FONTDATA.REMAP[w];if(w instanceof Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l<j;l++){if(q[p[l]]){o.FONTS.push(q[p[l]]);q[p[l]].name=p[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[r]){if(k[r].length===5){k[r][5]={}}if(d.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,r)}}return this.unknownChar(o,r)},unknownChar:function(j,l){var k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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x=this.getValues("mathcolor","color");if(this.mathbackground){x.mathbackground=this.mathbackground}if(this.background){x.background=this.background}if(this.style&&v.style.backgroundColor){x.mathbackground=v.style.backgroundColor;v.style.backgroundColor="transparent"}var s=(this.styles||{}).border,u=(this.styles||{}).padding;if(x.color&&!this.mathcolor){x.mathcolor=x.color}if(x.background&&!this.mathbackground){x.mathbackground=x.background}if(x.mathcolor){v.style.color=x.mathcolor}if((x.mathbackground&&x.mathbackground!==f.COLOR.TRANSPARENT)||s||u){var z=v.bbox,y=(z.exact?0:1/d.em),t=0,r=0,l=v.style.paddingLeft,p=v.style.paddingRight;if(this.isToken){t=z.lw;r=z.rw-z.w}if(l!==""){t+=parseFloat(l)*(v.scale||1)}if(p!==""){r-=parseFloat(p)*(v.scale||1)}var k=(d.PaddingWidthBug||z.keepPadding||z.exactW?0:r-t);var n=Math.max(0,d.getW(v)+k);var 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j=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(j){j.parentNode.removeChild(j)}},HTMLhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var l=this.getValues("scriptlevel","lspace","rspace");if(l.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var k=this.HTMLgetMu(n);l.lspace=Math.max(0,d.length2em(l.lspace,k));l.rspace=Math.max(0,d.length2em(l.rspace,k));var j=this,m=this.Parent();while(m&&m.isEmbellished()&&m.Core()===j){j=m;m=m.Parent();n=j.HTMLspanElement()}if(l.lspace){n.style.paddingLeft=d.Em(l.lspace)}if(l.rspace){n.style.paddingRight=d.Em(l.rspace)}}}else{var o=this.texSpacing();if(o!==""){o=d.length2em(o,this.HTMLgetScale())/(n.scale||1);if(n.style.paddingLeft){o+=parseFloat(n.style.paddingLeft)}n.style.paddingLeft=d.Em(o)}}},HTMLgetScale:function(){var l=1,j=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return j.CoreMO().data.join("")}while(j.isa(f.mrow)&&j.data.length===1&&j.data[0]){j=j.data[0]}if(!j.isToken){return""}else{return j.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(k,j){k=k.replace(/-/g,"\u2212");if(j){k=k.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(k.length===1){k=j[k]||k}}return k},HTMLcanStretch:function(m){if(!this.Get("stretchy")){return false}var n=this.data.join("");if(n.length>1){return false}var k=this.CoreParent();if(k&&k.isa(f.munderover)&&this.CoreText(k.data[k.base]).length===1){var l=k.data[k.over],j=k.data[k.under];if(l&&this===l.CoreMO()&&k.Get("accent")){n=d.FONTDATA.REMAPACCENT[n]||n}else{if(j&&this===j.CoreMO()&&k.Get("accentunder")){n=d.FONTDATA.REMAPACCENTUNDER[n]||n}}}n=d.FONTDATA.DELIMITERS[n.charCodeAt(0)];return(n&&n.dir==m.substr(0,1))},HTMLstretchV:function(l,m,n){this.HTMLremoveColor();var q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r,r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var 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n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}})}var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true;j.widthBug=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML); -(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";p.preview.style.visibility="hidden";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); +(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.innerHTML="";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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l=o.remap[w];w=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{if(typeof(o.remap[w])==="string"){r=o.remap[w]+r.substr(A+1);A=0;x=r.length;w=r.charCodeAt(0)}else{w=o.remap[w];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}}if(this.FONTDATA.REMAP[w]&&!o.noRemap){w=this.FONTDATA.REMAP[w];if(w instanceof Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l<j;l++){if(q[p[l]]){o.FONTS.push(q[p[l]]);q[p[l]].name=p[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[r]){if(k[r].length===5){k[r][5]={}}if(d.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,r)}}return this.unknownChar(o,r)},unknownChar:function(j,l){var k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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x=this.getValues("mathcolor","color");if(this.mathbackground){x.mathbackground=this.mathbackground}if(this.background){x.background=this.background}if(this.style&&v.style.backgroundColor){x.mathbackground=v.style.backgroundColor;v.style.backgroundColor="transparent"}var s=(this.styles||{}).border,u=(this.styles||{}).padding;if(x.color&&!this.mathcolor){x.mathcolor=x.color}if(x.background&&!this.mathbackground){x.mathbackground=x.background}if(x.mathcolor){v.style.color=x.mathcolor}if((x.mathbackground&&x.mathbackground!==f.COLOR.TRANSPARENT)||s||u){var z=v.bbox,y=(z.exact?0:1/d.em),t=0,r=0,l=v.style.paddingLeft,p=v.style.paddingRight;if(this.isToken){t=z.lw;r=z.rw-z.w}if(l!==""){t+=parseFloat(l)*(v.scale||1)}if(p!==""){r-=parseFloat(p)*(v.scale||1)}var k=(d.PaddingWidthBug||z.keepPadding||z.exactW?0:r-t);var n=Math.max(0,d.getW(v)+k);var 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j=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(j){j.parentNode.removeChild(j)}},HTMLhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var l=this.getValues("scriptlevel","lspace","rspace");if(l.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var k=this.HTMLgetMu(n);l.lspace=Math.max(0,d.length2em(l.lspace,k));l.rspace=Math.max(0,d.length2em(l.rspace,k));var j=this,m=this.Parent();while(m&&m.isEmbellished()&&m.Core()===j){j=m;m=m.Parent();n=j.HTMLspanElement()}if(l.lspace){n.style.paddingLeft=d.Em(l.lspace)}if(l.rspace){n.style.paddingRight=d.Em(l.rspace)}}}else{var o=this.texSpacing();if(o!==""){o=d.length2em(o,this.HTMLgetScale())/(n.scale||1);if(n.style.paddingLeft){o+=parseFloat(n.style.paddingLeft)}n.style.paddingLeft=d.Em(o)}}},HTMLgetScale:function(){var l=1,j=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return j.CoreMO().data.join("")}while(j.isa(f.mrow)&&j.data.length===1&&j.data[0]){j=j.data[0]}if(!j.isToken){return""}else{return j.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(k,j){k=k.replace(/-/g,"\u2212");if(j){k=k.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(k.length===1){k=j[k]||k}}return k},HTMLcanStretch:function(m){if(!this.Get("stretchy")){return false}var n=this.data.join("");if(n.length>1){return false}var k=this.CoreParent();if(k&&k.isa(f.munderover)&&this.CoreText(k.data[k.base]).length===1){var l=k.data[k.over],j=k.data[k.under];if(l&&this===l.CoreMO()&&k.Get("accent")){n=d.FONTDATA.REMAPACCENT[n]||n}else{if(j&&this===j.CoreMO()&&k.Get("accentunder")){n=d.FONTDATA.REMAPACCENTUNDER[n]||n}}}n=d.FONTDATA.DELIMITERS[n.charCodeAt(0)];return(n&&n.dir==m.substr(0,1))},HTMLstretchV:function(l,m,n){this.HTMLremoveColor();var q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r,r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var 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n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}})}var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true;j.widthBug=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML); -(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";p.preview.style.visibility="hidden";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); +(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.innerHTML="";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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l=o.remap[w];w=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{if(typeof(o.remap[w])==="string"){r=o.remap[w]+r.substr(A+1);A=0;x=r.length;w=r.charCodeAt(0)}else{w=o.remap[w];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}}if(this.FONTDATA.REMAP[w]&&!o.noRemap){w=this.FONTDATA.REMAP[w];if(w instanceof Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l<j;l++){if(q[p[l]]){o.FONTS.push(q[p[l]]);q[p[l]].name=p[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[r]){if(k[r].length===5){k[r][5]={}}if(d.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,r)}}return this.unknownChar(o,r)},unknownChar:function(j,l){var k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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x=this.getValues("mathcolor","color");if(this.mathbackground){x.mathbackground=this.mathbackground}if(this.background){x.background=this.background}if(this.style&&v.style.backgroundColor){x.mathbackground=v.style.backgroundColor;v.style.backgroundColor="transparent"}var s=(this.styles||{}).border,u=(this.styles||{}).padding;if(x.color&&!this.mathcolor){x.mathcolor=x.color}if(x.background&&!this.mathbackground){x.mathbackground=x.background}if(x.mathcolor){v.style.color=x.mathcolor}if((x.mathbackground&&x.mathbackground!==f.COLOR.TRANSPARENT)||s||u){var z=v.bbox,y=(z.exact?0:1/d.em),t=0,r=0,l=v.style.paddingLeft,p=v.style.paddingRight;if(this.isToken){t=z.lw;r=z.rw-z.w}if(l!==""){t+=parseFloat(l)*(v.scale||1)}if(p!==""){r-=parseFloat(p)*(v.scale||1)}var k=(d.PaddingWidthBug||z.keepPadding||z.exactW?0:r-t);var n=Math.max(0,d.getW(v)+k);var 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j=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(j){j.parentNode.removeChild(j)}},HTMLhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var l=this.getValues("scriptlevel","lspace","rspace");if(l.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var k=this.HTMLgetMu(n);l.lspace=Math.max(0,d.length2em(l.lspace,k));l.rspace=Math.max(0,d.length2em(l.rspace,k));var j=this,m=this.Parent();while(m&&m.isEmbellished()&&m.Core()===j){j=m;m=m.Parent();n=j.HTMLspanElement()}if(l.lspace){n.style.paddingLeft=d.Em(l.lspace)}if(l.rspace){n.style.paddingRight=d.Em(l.rspace)}}}else{var o=this.texSpacing();if(o!==""){o=d.length2em(o,this.HTMLgetScale())/(n.scale||1);if(n.style.paddingLeft){o+=parseFloat(n.style.paddingLeft)}n.style.paddingLeft=d.Em(o)}}},HTMLgetScale:function(){var l=1,j=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return j.CoreMO().data.join("")}while(j.isa(f.mrow)&&j.data.length===1&&j.data[0]){j=j.data[0]}if(!j.isToken){return""}else{return j.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(k,j){k=k.replace(/-/g,"\u2212");if(j){k=k.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(k.length===1){k=j[k]||k}}return k},HTMLcanStretch:function(m){if(!this.Get("stretchy")){return false}var n=this.data.join("");if(n.length>1){return false}var k=this.CoreParent();if(k&&k.isa(f.munderover)&&this.CoreText(k.data[k.base]).length===1){var l=k.data[k.over],j=k.data[k.under];if(l&&this===l.CoreMO()&&k.Get("accent")){n=d.FONTDATA.REMAPACCENT[n]||n}else{if(j&&this===j.CoreMO()&&k.Get("accentunder")){n=d.FONTDATA.REMAPACCENTUNDER[n]||n}}}n=d.FONTDATA.DELIMITERS[n.charCodeAt(0)];return(n&&n.dir==m.substr(0,1))},HTMLstretchV:function(l,m,n){this.HTMLremoveColor();var q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r,r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var 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n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}})}var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true;j.widthBug=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML); -(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";p.preview.style.visibility="hidden";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLlength2em:function(p,q,k,r,j){if(j==null){j=-d.BIGDIMEN}var n=String(q).match(/width|height|depth/);var o=(n?p.bbox[n[0].charAt(0)]:(r?p.bbox[r]:0));var l=d.length2em(q,k,o);if(r&&String(q).match(/^\s*[-+]/)){return Math.max(j,p.bbox[r]+l)}else{return l}},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mrow.Augment({HTMLlineBreaks:function(j){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&j.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(l,j){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchH(k,j);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();var j=this.HTMLspanElement();this.data[this.core].HTMLstretchV(j,k,m);this.HTMLcomputeBBox(j,true);this.HTMLhandleColor(j);return j}});f.mstyle.Augment({toHTML:function(k,j,l){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){var m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); +(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.innerHTML="";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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l=o.remap[w];w=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{if(typeof(o.remap[w])==="string"){r=o.remap[w]+r.substr(A+1);A=0;x=r.length;w=r.charCodeAt(0)}else{w=o.remap[w];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}}if(this.FONTDATA.REMAP[w]&&!o.noRemap){w=this.FONTDATA.REMAP[w];if(w instanceof Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l<j;l++){if(q[p[l]]){o.FONTS.push(q[p[l]]);q[p[l]].name=p[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[r]){if(k[r].length===5){k[r][5]={}}if(d.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,r)}}return this.unknownChar(o,r)},unknownChar:function(j,l){var k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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x=this.getValues("mathcolor","color");if(this.mathbackground){x.mathbackground=this.mathbackground}if(this.background){x.background=this.background}if(this.style&&v.style.backgroundColor){x.mathbackground=v.style.backgroundColor;v.style.backgroundColor="transparent"}var s=(this.styles||{}).border,u=(this.styles||{}).padding;if(x.color&&!this.mathcolor){x.mathcolor=x.color}if(x.background&&!this.mathbackground){x.mathbackground=x.background}if(x.mathcolor){v.style.color=x.mathcolor}if((x.mathbackground&&x.mathbackground!==f.COLOR.TRANSPARENT)||s||u){var z=v.bbox,y=(z.exact?0:1/d.em),t=0,r=0,l=v.style.paddingLeft,p=v.style.paddingRight;if(this.isToken){t=z.lw;r=z.rw-z.w}if(l!==""){t+=parseFloat(l)*(v.scale||1)}if(p!==""){r-=parseFloat(p)*(v.scale||1)}var k=(d.PaddingWidthBug||z.keepPadding||z.exactW?0:r-t);var n=Math.max(0,d.getW(v)+k);var 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j=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(j){j.parentNode.removeChild(j)}},HTMLhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var l=this.getValues("scriptlevel","lspace","rspace");if(l.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var k=this.HTMLgetMu(n);l.lspace=Math.max(0,d.length2em(l.lspace,k));l.rspace=Math.max(0,d.length2em(l.rspace,k));var j=this,m=this.Parent();while(m&&m.isEmbellished()&&m.Core()===j){j=m;m=m.Parent();n=j.HTMLspanElement()}if(l.lspace){n.style.paddingLeft=d.Em(l.lspace)}if(l.rspace){n.style.paddingRight=d.Em(l.rspace)}}}else{var o=this.texSpacing();if(o!==""){o=d.length2em(o,this.HTMLgetScale())/(n.scale||1);if(n.style.paddingLeft){o+=parseFloat(n.style.paddingLeft)}n.style.paddingLeft=d.Em(o)}}},HTMLgetScale:function(){var l=1,j=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return j.CoreMO().data.join("")}while(j.isa(f.mrow)&&j.data.length===1&&j.data[0]){j=j.data[0]}if(!j.isToken){return""}else{return j.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(k,j){k=k.replace(/-/g,"\u2212");if(j){k=k.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(k.length===1){k=j[k]||k}}return k},HTMLcanStretch:function(m){if(!this.Get("stretchy")){return false}var n=this.data.join("");if(n.length>1){return false}var k=this.CoreParent();if(k&&k.isa(f.munderover)&&this.CoreText(k.data[k.base]).length===1){var l=k.data[k.over],j=k.data[k.under];if(l&&this===l.CoreMO()&&k.Get("accent")){n=d.FONTDATA.REMAPACCENT[n]||n}else{if(j&&this===j.CoreMO()&&k.Get("accentunder")){n=d.FONTDATA.REMAPACCENTUNDER[n]||n}}}n=d.FONTDATA.DELIMITERS[n.charCodeAt(0)];return(n&&n.dir==m.substr(0,1))},HTMLstretchV:function(l,m,n){this.HTMLremoveColor();var q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return 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m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}m.maxsize=a.length2em(m.maxsize,k,n.w);m.minsize=a.length2em(m.minsize,k,n.w);l=Math.max(m.minsize,Math.min(m.maxsize,l));n=a.createDelimiter(this.data.join("").charCodeAt(0),l,n.scale,m.mathvariant);this.SVGhandleSpace(n);this.SVGhandleColor(n);delete this.svg;this.SVGsaveData(n);return n}});g.mtext.Augment({toSVG:function(){this.SVGgetStyles();var k,m,l=this.SVGgetScale();if(this.Parent().type==="merror"){k=this.SVG();this.SVGhandleSpace(k);m=i.G();m.Add(i.TEXT(0.9*l,this.data.join(""),{fill:"#C00"}));k.Add(i.RECT(m.h+100,m.d+100,m.w+200,{fill:"#FF8",stroke:"#C00","stroke-width":50}),0,0);k.Add(m,150,0);k.H+=150;k.D+=50;k.Clean();this.SVGsaveData(k);return 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l=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(l);l.Add(this.SVGdataStretched(0,k,m));l.Clean();while(l.element.firstChild){l.element.removeChild(l.element.firstChild)}}this.SVGhandleColor(l);if(!l.element.firstChild){delete l.element}this.SVGsaveData(l);return l}});g.mpadded.Augment({toSVG:function(l,k){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var m=this.SVGdataStretched(0,l,k),u=this.SVGgetMu(o);var t=this.getValues("height","depth","width","lspace","voffset"),r=0,q=0;if(t.lspace){r=this.SVGlength2em(m,t.lspace,u)}if(t.voffset){q=this.SVGlength2em(m,t.voffset,u)}var n=m.h,p=m.d,s=m.w;o.Add(m,r,q);o.Clean();o.h=n;o.d=p;o.w=s;o.removeable=false;if(t.height!==""){o.h=this.SVGlength2em(o,t.height,u,"h",0)}if(t.depth!==""){o.d=this.SVGlength2em(o,t.depth,u,"d",0)}if(t.width!==""){o.w=this.SVGlength2em(o,t.width,u,"w",0)}if(o.h>o.H){o.H=o.h}if(o.d>o.D){o.D=o.d}}this.SVGhandleColor(o);this.SVGsaveData(o);return 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i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var 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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)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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l=o.remap[w];w=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{if(typeof(o.remap[w])==="string"){r=o.remap[w]+r.substr(A+1);A=0;x=r.length;w=r.charCodeAt(0)}else{w=o.remap[w];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}}if(this.FONTDATA.REMAP[w]&&!o.noRemap){w=this.FONTDATA.REMAP[w];if(w instanceof Array){o=this.FONTDATA.VARIANT[w[1]];w=w[0]}if(typeof(w)==="string"){r=w+r.substr(A+1);A=0;x=r.length;w=w.charCodeAt(0)}}s=this.lookupChar(o,w);B=s[w];if(k||(!this.checkFont(s,j.style)&&!B[5].img)){if(y.length){this.addText(j,y);y=""}var v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var l=q-65536;o.c=String.fromCharCode((l>>10)+55296)+String.fromCharCode((l&1023)+56320)}}if(o.rfix){this.addText(k,o.c);d.createShift(k,o.rfix/1000);return""}if(r[2]||!this.msieAccentBug||p.length){return p+o.c}d.createShift(k,r[3]/1000);d.createShift(k,(r[4]-r[3])/1000);this.addText(k,o.c);d.createShift(k,-r[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l<j;l++){if(q[p[l]]){o.FONTS.push(q[p[l]]);q[p[l]].name=p[l]}}}for(l=0,j=o.FONTS.length;l<j;l++){var k=o.FONTS[l];if(typeof(k)==="string"){delete o.FONTS;this.loadFont(k)}if(k[r]){if(k[r].length===5){k[r][5]={}}if(d.allowWebFonts&&!k.available){this.loadWebFont(k)}else{return k}}else{this.findBlock(k,r)}}return this.unknownChar(o,r)},unknownChar:function(j,l){var k=(j.defaultFont||{family:d.config.undefinedFamily});if(j.bold){k.weight="bold"}if(j.italic){k.style="italic"}if(!k[l]){k[l]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",l,j]);return k},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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x=this.getValues("mathcolor","color");if(this.mathbackground){x.mathbackground=this.mathbackground}if(this.background){x.background=this.background}if(this.style&&v.style.backgroundColor){x.mathbackground=v.style.backgroundColor;v.style.backgroundColor="transparent"}var s=(this.styles||{}).border,u=(this.styles||{}).padding;if(x.color&&!this.mathcolor){x.mathcolor=x.color}if(x.background&&!this.mathbackground){x.mathbackground=x.background}if(x.mathcolor){v.style.color=x.mathcolor}if((x.mathbackground&&x.mathbackground!==f.COLOR.TRANSPARENT)||s||u){var z=v.bbox,y=(z.exact?0:1/d.em),t=0,r=0,l=v.style.paddingLeft,p=v.style.paddingRight;if(this.isToken){t=z.lw;r=z.rw-z.w}if(l!==""){t+=parseFloat(l)*(v.scale||1)}if(p!==""){r-=parseFloat(p)*(v.scale||1)}var k=(d.PaddingWidthBug||z.keepPadding||z.exactW?0:r-t);var n=Math.max(0,d.getW(v)+k);var 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j=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(j){j.parentNode.removeChild(j)}},HTMLhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var l=this.getValues("scriptlevel","lspace","rspace");if(l.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var k=this.HTMLgetMu(n);l.lspace=Math.max(0,d.length2em(l.lspace,k));l.rspace=Math.max(0,d.length2em(l.rspace,k));var j=this,m=this.Parent();while(m&&m.isEmbellished()&&m.Core()===j){j=m;m=m.Parent();n=j.HTMLspanElement()}if(l.lspace){n.style.paddingLeft=d.Em(l.lspace)}if(l.rspace){n.style.paddingRight=d.Em(l.rspace)}}}else{var o=this.texSpacing();if(o!==""){o=d.length2em(o,this.HTMLgetScale())/(n.scale||1);if(n.style.paddingLeft){o+=parseFloat(n.style.paddingLeft)}n.style.paddingLeft=d.Em(o)}}},HTMLgetScale:function(){var l=1,j=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mo.Augment({toHTML:function(t){t=this.HTMLhandleSize(this.HTMLcreateSpan(t));if(this.data.length==0){return t}else{t.bbox=null}var w=this.data.join("");var o=this.HTMLgetVariant();var v=this.getValues("largeop","displaystyle");if(v.largeop){o=d.FONTDATA.VARIANT[v.displaystyle?"-largeOp":"-smallOp"]}var u=this.CoreParent(),n=(u&&u.isa(f.msubsup)&&this!==u.data[u.base]),k=(n?this.HTMLremapChars:null);if(w.length===1&&u&&u.isa(f.munderover)&&this.CoreText(u.data[u.base]).length===1){var r=u.data[u.over],s=u.data[u.under];if(r&&this===r.CoreMO()&&u.Get("accent")){k=d.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&u.Get("accentunder")){k=d.FONTDATA.REMAPACCENTUNDER}}}if(n&&d.fontInUse==="STIX"&&w.match(/['`"\u00B4\u2032-\u2037]/)){o=d.FONTDATA.VARIANT["-STIX-variant"]}for(var q=0,l=this.data.length;q<l;q++){if(this.data[q]){this.data[q].toHTML(t,o,this.HTMLremap,k)}}if(!t.bbox){t.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(w.length!==1){delete t.bbox.skew}if(d.AccentBug&&t.bbox.w===0&&w.length===1&&t.firstChild){t.firstChild.nodeValue+=d.NBSP;d.createSpace(t,0,0,-t.offsetWidth/d.em)}if(v.largeop){var j=(t.bbox.h-t.bbox.d)/2-d.TeX.axis_height*t.scale;if(d.safariVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.lastChild.style.verticalAlign=d.Em(parseFloat(t.lastChild.style.verticalAlign||0)/d.em-j/t.scale)}else{if(d.konquerorVerticalAlignBug&&t.lastChild.nodeName==="IMG"){t.style.position="relative";t.lastChild.style.position="relative";t.lastChild.style.top=d.Em(j/t.scale)}else{t.style.verticalAlign=d.Em(-j/t.scale)}}t.bbox.h-=j;t.bbox.d+=j;if(t.bbox.rw>t.bbox.w){t.bbox.ic=t.bbox.rw-t.bbox.w;d.createBlank(t,t.bbox.ic);t.bbox.w=t.bbox.rw}}this.HTMLhandleSpace(t);this.HTMLhandleColor(t);return t},CoreParent:function(){var j=this;while(j&&j.isEmbellished()&&j.CoreMO()===this&&!j.isa(f.math)){j=j.Parent()}return j},CoreText:function(j){if(!j){return""}if(j.isEmbellished()){return j.CoreMO().data.join("")}while(j.isa(f.mrow)&&j.data.length===1&&j.data[0]){j=j.data[0]}if(!j.isToken){return""}else{return j.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(k,j){k=k.replace(/-/g,"\u2212");if(j){k=k.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(k.length===1){k=j[k]||k}}return k},HTMLcanStretch:function(m){if(!this.Get("stretchy")){return false}var n=this.data.join("");if(n.length>1){return false}var k=this.CoreParent();if(k&&k.isa(f.munderover)&&this.CoreText(k.data[k.base]).length===1){var l=k.data[k.over],j=k.data[k.under];if(l&&this===l.CoreMO()&&k.Get("accent")){n=d.FONTDATA.REMAPACCENT[n]||n}else{if(j&&this===j.CoreMO()&&k.Get("accentunder")){n=d.FONTDATA.REMAPACCENTUNDER[n]||n}}}n=d.FONTDATA.DELIMITERS[n.charCodeAt(0)];return(n&&n.dir==m.substr(0,1))},HTMLstretchV:function(l,m,n){this.HTMLremoveColor();var q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:k,msieDisappearingBug:(n>=8),msieMarginScaleBug:(n<8),msiePaddingWidthBug:true,msieBorderWidthBug:k,msieInlineBlockAlignBug:(!l||k),msiePlaceBoxBug:(l&&!k),msieClipRectBug:!l,msieNegativeSpaceBug:k,msieCloneNodeBug:(l&&j.version==="8.0"),initialSkipBug:(n<8),msieNegativeBBoxBug:(n>=8),msieIE6:!m,msieItalicWidthBug:true,zeroWidthBug:(n<8),FontFaceBug:true,msieFontCSSBug:j.isIE9,allowWebFonts:(n>=9?"woff":"eot")})},Firefox:function(k){var l=false;if(k.versionAtLeast("3.5")){var j=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,j.length)===j){l="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:l})},Safari:function(o){var m=o.versionAtLeast("3.0");var l=o.versionAtLeast("3.1");var j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); +(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! 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k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.innerHTML="";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p<k;p++){s+=String.fromCharCode(o[0][p])}}else{s=String.fromCharCode(o[0])}if(o[4]){l*=o[4]}if(l!==1||o[3]){q=this.addElement(r,"span",{style:{fontSize:this.Percent(l)},scale:l,isMathJax:true});this.handleVariant(q,n,s);r.bbox=q.bbox}else{this.handleVariant(r,n,s)}if(o[2]){r.style.marginLeft=this.Em(o[2])}if(o[3]){r.firstChild.style.verticalAlign=this.Em(o[3]);r.bbox.h+=o[3];if(r.bbox.h<0){r.bbox.h=0}}if(o[5]){r.bbox.h+=o[5]}if(o[6]){r.bbox.d+=o[6]}if(this.AccentBug&&r.bbox.w===0){q.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(k,j){j-=k.bbox.h;k.bbox.d-=j;k.bbox.h+=j;if(j){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&k.isMultiChar)){if(k.firstChild.style.display===""&&k.style.top!==""){k=k.firstChild;j-=parseFloat(k.style.top)}k.style.position="relative";k.style.top=this.Em(-j)}else{k.style.verticalAlign=this.Em(j);if(d.ffVerticalAlignBug){d.createRule(k.parentNode,k.bbox.h,0,0)}}}},handleVariant:function(z,o,r){var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return 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g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}})}var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true;j.widthBug=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML); -(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;p=this.div.offsetWidth;for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip 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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";p.preview.style.visibility="hidden";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var 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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v=!!j.style.fontFamily||!!z.style.fontStyle||!!z.style.fontWeight||!s.directory||k;k=false;if(j!==z){v=!this.checkFont(s,z.style);j=z}if(v){j=this.addElement(z,"span",{isMathJax:true,subSpan:true})}this.handleFont(j,s,j!==z)}y=this.handleChar(j,s,B,w,y);if(B[0]/1000>z.bbox.h){z.bbox.h=B[0]/1000}if(B[1]/1000>z.bbox.d){z.bbox.d=B[1]/1000}if(z.bbox.w+B[3]/1000<z.bbox.lw){z.bbox.lw=z.bbox.w+B[3]/1000}if(z.bbox.w+B[4]/1000>z.bbox.rw){z.bbox.rw=z.bbox.w+B[4]/1000}z.bbox.w+=B[2]/1000}if(y.length){this.addText(j,y)}if(z.scale&&z.scale!==1){z.bbox.h*=z.scale;z.bbox.d*=z.scale;z.bbox.w*=z.scale;z.bbox.lw*=z.scale;z.bbox.rw*=z.scale}if(r.length==1&&s.skew&&s.skew[w]){z.bbox.skew=s.skew[w]}},checkFont:function(j,k){var l=(k.fontWeight||"normal");if(l.match(/^\d+$/)){l=(parseInt(l)>=600?"bold":"normal")}return(j.family.replace(/'/g,"")===k.fontFamily.replace(/'/g,"")&&(j.style||"normal")===(k.fontStyle||"normal")&&(j.weight||"normal")===l)},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!j.directory){l.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,r,q,p){var o=r[5];if(o.img){return this.handleImg(k,j,r,q,p)}if(o.isUnknown&&this.FONTDATA.DELIMITERS[q]){if(p.length){this.addText(k,p)}var m=k.scale;d.createDelimiter(k,q,0,1,j);k.scale=m;r[0]=k.bbox.h*1000;r[1]=k.bbox.d*1000;r[2]=k.bbox.w*1000;r[3]=k.bbox.lw*1000;r[4]=k.bbox.rw*1000;return""}if(o.c==null){if(q<=65535){o.c=String.fromCharCode(q)}else{var 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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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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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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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[]"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(n,k){if(k&&this.testCollection(k)){return k}for(var l=0,j=n.length;l<j;l++){if(n[l]===k){continue}if(this.testCollection(n[l])){return n[l]}}return null},testCollection:function(j){return this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",Config:function(){if(!this.require){this.require=[]}this.Font=e();this.SUPER(arguments).Config.call(this);var k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.innerHTML="";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var 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l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var 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v={offsetAR:57920,variantAR:"-WinIE6",remap:w};g.Augment({FONTDATA:{VARIANT:{normal:q,bold:v,italic:q,"bold-italic":v,"-largeOp":{fonts:[u,c,d,f],remap:{8719:58000,8721:58001,8747:58005,8750:58006}},"-smallOp":{fonts:[u,d,f],remap:{8719:57984,8721:57985,8747:57989,8750:57990}},"-WinIE6":{fonts:[u]}},DELIMITERS:{8730:{HW:{0:[1,u,null,57875],1:[1.2,u,null,57986],2:[1.8,u,null,58002],3:[2.4,u,null,58018],4:[3,u,null,58034]}},124:{stretch:{ext:[57879,u]}},8739:{HW:{0:[1,u,null,57879]},stretch:{ext:[57879,u]}},9168:{HW:{1:[1,u,null,57879]},stretch:{ext:[57879,u]}},8741:{HW:{0:[1,u,null,57880]},stretch:{ext:[57880,u]}},8592:{HW:{0:[0.889,u,null,57856]},stretch:{left:[57856,u]}},8593:{HW:{0:[0.888,u,null,57857]},stretch:{top:[57991,u],ext:[57993,u]}},8594:{HW:{0:[0.889,u,null,57858]},stretch:{right:[57858,u]}},8595:{HW:{0:[0.888,u,null,57859]},stretch:{bot:[57992,u],ext:[57993,u]}},8596:{HW:{0:[1,u,null,57860]},stretch:{left:[57856,u],right:[57858,u]}},8597:{HW:{0:[1.044,u,null,57859]},stretch:{top:[57991,u],bot:[57992,u],ext:[57993,u]}}}}})}},Chrome:function(r){if(r.isPC&&!MathJax.Hub.Browser.versionAtLeast("5.0")){var q="-WinChrome";g.Augment({FONTDATA:{VARIANT:{normal:{remap:{62:[62,q]}},bold:{remap:{58097:[62,q]}},italic:{remap:{100:[100,q]}},"-tex-caligraphic":{remap:{84:[84,q]}},"-largeOp":{remap:{10752:[10752,q]}},"-smallOp":{remap:{8899:[8899,q]}},"-WinChrome":{fonts:["MathJax_WinChrome"]}},DELIMITERS:{93:{stretch:{bot:[9126,"MathJax_WinChrome"]}},8971:{stretch:{bot:[9126,"MathJax_WinChrome"]}}}}});g.FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var t=g.FONTDATA.FONTS,s=g.config.availableFonts;var r,q=[];if(g.allowWebFonts){for(r in t){if(t[r].family){if(s&&s.length&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}else{t[r].isWebFont=true;if(g.FontFaceBug){t[r].family=r}q.push(g.Font.fontFace(r))}}}if(!g.config.preloadWebFonts){g.config.preloadWebFonts=[]}g.config.preloadWebFonts.push(f,h,d);if(q.length){g.config.styles["@font-face"]=q}}else{if(s&&s.length){for(r in t){if(t[r].family&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}}}}})();l.loadComplete(g.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax); diff --git a/jax/output/HTML-CSS/jax.js b/jax/output/HTML-CSS/jax.js @@ -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:"() {} 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this.testFont(this.FontInfo[j])},testFont:function(l){if(l.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(l.weight||"normal");this.div.style.fontStyle=(l.style||"normal")}var k=this.getComparisonWidths(l.testString,l.noStyleChar);if(k){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==k[0]){this.div.style.fontFamily="'"+l.family+"',"+this.comparisonFont[k[2]];if(this.div.offsetWidth==k[1]){return false}}if(this.div.offsetWidth!=k[3]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(n,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){n+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=n}else{this.text.nodeValue=n}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth,p=-1;this.div.style.fontFamily=d.webFontDefault;p=this.div.offsetWidth;for(var o=1,j=this.comparisonFont.length;o<j;o++){this.div.style.fontFamily=this.comparisonFont[o];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,o,p]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" 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span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip 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j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid 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k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var 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+=" 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j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.style.display="none";p.preview.style.visibility="hidden";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var l=this.Element("span",{style:{marginLeft:this.Em(j)},isMathJax:true});if(m){k.insertBefore(l,k.firstChild)}else{k.appendChild(l)}return l},createSpace:function(n,m,q,j,k){var l=this.Em(Math.max(0,m+q)),o=this.Em(-q);if(this.msieInlineBlockAlignBug){o=this.Em(d.getHD(n.parentNode).d-q)}if(n.isBox||n.className=="mspace"){var p=(n.scale==null?1:n.scale);n.bbox={exactW:true,h:m*p,d:q*p,w:j*p,rw:j*p,lw:0};n.style.height=l;n.style.verticalAlign=o;n.HH=(m+q)*p}else{n=this.addElement(n,"span",{style:{height:l,verticalAlign:o},isMathJax:true})}if(j>=0){n.style.width=this.Em(j);n.style.display="inline-block";n.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){n.style.height=""}n.style.marginLeft=this.Em(j);if(d.safariNegativeSpaceBug&&n.parentNode.firstChild==n){this.createBlank(n,0,true)}}if(k&&k!==f.COLOR.TRANSPARENT){n.style.backgroundColor=k;n.style.position="relative"}return n},createRule:function(q,m,o,r,k){var l=d.TeX.min_rule_thickness,n=1;if(r>0&&r*this.em<l){r=l/this.em}if(m+o>0&&(m+o)*this.em<l){n=1/(m+o)*(l/this.em);m*=n;o*=n}if(!k){k="solid"}else{k="solid "+k}k=this.Em(r)+" "+k;var s=(n===1?this.Em(m+o):l+"px"),j=this.Em(-o);var p=this.addElement(q,"span",{style:{borderLeft:k,display:"inline-block",overflow:"hidden",width:0,height:s,verticalAlign:j},bbox:{h:m,d:o,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:m+o,isMathJax:true});if(r>0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true)}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(this.initialSkipBug&&B.lw<0){m=-3*A}if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q<w.lw){w.lw=B.lw+q}if(B.width!=null&&!B.isFixed){if(w.width==null){u.style.width=w.width="100%"}s.style.width=B.width}}},alignBox:function(m,s,q){this.placeBox(m,0,q);var o=m.bbox;if(o.isMultiline){return}var k=o.width!=null&&!o.isFixed;var n=0,p=-o.w/2,j="50%";if(this.initialSkipBug){n=o.w-o.rw-0.1;p+=o.lw}if(this.msieMarginScaleBug){p=(p*this.em)+"px"}else{p=this.Em(p)}if(k){p="";j=(50-parseFloat(o.width)/2)+"%"}b.Insert(m.style,({right:{left:"",right:this.Em(n)},center:{left:j,marginLeft:p}})[s])},setStackWidth:function(k,j){if(typeof(j)==="number"){k.style.width=this.Em(Math.max(0,j));var l=k.bbox;if(l){l.w=j;l.exactW=true}l=k.parentNode.bbox;if(l){l.w=j;l.exactW=true}}else{k.style.width=k.parentNode.style.width="100%";if(k.bbox){k.bbox.width=j}if(k.parentNode.bbox){k.parentNode.bbox.width=j}}},createDelimiter:function(t,j,l,p,n){if(!j){t.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};t.bbox.rw=t.bbox.w;this.createSpace(t,t.bbox.h,t.bbox.d,t.bbox.w);return}if(!p){p=1}if(!(l instanceof Array)){l=[l,l]}var s=l[1];l=l[0];var k={alias:j};while(k.alias){j=k.alias;k=this.FONTDATA.DELIMITERS[j];if(!k){k={HW:[0,this.FONTDATA.VARIANT[f.VARIANT.NORMAL]]}}}if(k.load){b.RestartAfter(g.Require(this.fontDir+"/fontdata-"+k.load+".js"))}for(var r=0,o=k.HW.length;r<o;r++){if(k.HW[r][0]*p>=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var 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s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete 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t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); +(function(g,b,d){var f,h=b.Browser.isMobile;var e=MathJax.Object.Subclass({timeout:(h?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} 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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]||this.div.offsetHeight!=k[4]){if(l.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var n=0,j=this.testSize.length;n<j;n++){if(this.testStyleChar(l,this.testSize[n])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(l,o){var r=3+(l.weight?2:0)+(l.style?4:0);var k="",m=0;var q=this.div.style.fontSize;this.div.style.fontSize=o;if(d.msieItalicWidthBug&&l.style==="italic"){this.text.nodeValue=k=this.compChar;m=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+k}else{this.text.nodeValue=this.compChar+k}var j=this.div.offsetWidth-m;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+k}else{this.text.nodeValue=this.styleChar+k}var p=Math.floor((this.div.offsetWidth-m)/j+0.5);if(p===r){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+k}else{this.text.nodeValue=this.versionChar+k}l.version=Math.floor((this.div.offsetWidth-m)/j+1.5)/2}this.div.style.fontSize=q;return(p===r)},getComparisonWidths:function(o,l){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!l){o+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=o}else{this.text.nodeValue=o}this.div.style.fontFamily=this.comparisonFont[0];var k=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var q=this.div.offsetWidth,n=this.div.offsetHeight;for(var p=1,j=this.comparisonFont.length;p<j;p++){this.div.style.fontFamily=this.comparisonFont[p];if(this.div.offsetWidth!=k){return[k,this.div.offsetWidth,p,q,n]}}return null},loadWebFont:function(k){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+k.directory);var m=MathJax.Message.File("Web-Font "+d.fontInUse+"/"+k.directory);var j=MathJax.Callback({});var l=MathJax.Callback(["loadComplete",this,k,m,j]);g.timer.start(g,[this.checkWebFont,k,l],0,this.timeout);return j},loadComplete:function(l,o,k,j){MathJax.Message.Clear(o);if(j===g.STATUS.OK){this.webFontLoaded=true;k();return}this.loadError(l);if(b.Browser.isFirefox&&d.allowWebFonts){var m=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){m+=":"+document.location.port}m+="/";if(g.fileURL(d.webfontDir).substr(0,m.length)!==m){this.firefoxFontError(l)}}if(!this.webFontLoaded){d.loadWebFontError(l,k)}else{k()}},loadError:function(j){MathJax.Message.Set("Can't load web font "+d.fontInUse+"/"+j.directory,null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+j.directory,j])},firefoxFontError:function(j){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(j,k,l){if(j.time(l)){return}if(d.Font.testFont(k)){l(j.STATUS.OK)}else{setTimeout(j,j.delay)}},fontFace:function(l){var m=d.allowWebFonts;var o=d.FONTDATA.FONTS[l];if(d.msieFontCSSBug&&!o.family.match(/-Web$/)){o.family+="-Web"}var k=g.fileURL(d.webfontDir+"/"+m);var j=l.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!j.match(/-/)){j+="-Regular"}if(m==="svg"){j+=".svg#"+j}else{j+="."+m}var n={"font-family":o.family,src:"url('"+k+"/"+j+"')"};if(m==="otf"){n.src+=" format('opentype')";k=g.fileURL(d.webfontDir+"/woff");n.src="url('"+k+"/"+j.replace(/otf$/,"woff")+"') format('woff'), "+n.src}else{if(m!=="eot"){n.src+=" format('"+m+"')"}}if(!(d.FontFaceBug&&o.isWebFont)){if(l.match(/-bold/)){n["font-weight"]="bold"}if(l.match(/-italic/)){n["font-style"]="italic"}}return n}});var i,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! 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k=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(k.scale){this.config.scale=k.scale}if(k.font&&k.font!=="Auto"){if(k.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(k.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(k.font==="TeX (web)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(k.font==="TeX (image)"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}}}}}var j=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!j&&this.allowWebFonts){j=this.config.webFont;if(j){this.webFonts=true}}if(!j&&this.config.imageFont){j=this.config.imageFont;this.imgFonts=true}if(j){this.fontInUse=j;this.fontDir+="/"+j;this.webfontDir+="/"+j;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{MathJax.Message.Set("Can't find a valid font using ["+this.config.availableFonts.join(", ")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){i=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=i.ContextMenu;this.Mousedown=i.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var k=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(j){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return g.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]==="STIX"){l.splice(k,1);j--;k--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=l[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var k=0,j=d.config.preloadWebFonts.length;k<j;k++){var l=d.FONTDATA.FONTS[d.config.preloadWebFonts[k]];if(!l.available){d.Font.testFont(l)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(n){var t=n.jax[this.id],u,q=t.length,y,s,z,l,x,k,w,p,r,j,v=false,A=this.config.linebreaks.automatic,o=this.config.linebreaks.width;if(A){v=(o.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(v){o=o.replace(/\s*container\s*/,"")}else{j=this.defaultWidth}if(o===""){o="100%"}}else{j=100000}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}s=y.previousSibling;if(s&&String(s.className).match(/^MathJax(_Display)?$/)){s.parentNode.removeChild(s)}k=y.MathJax.elementJax;k.HTMLCSS={display:(k.root.Get("display")==="block")};z=l=this.Element("span",{className:"MathJax",id:k.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:i.Menu,onmousedown:i.Mousedown,onmouseover:i.Mouseover,onmouseout:i.Mouseout,onmousemove:i.Mousemove,onclick:i.Click,ondblclick:i.DblClick});if(b.Browser.noContextMenu){z.ontouchstart=a.start;z.ontouchend=a.end}if(k.HTMLCSS.display){l=this.Element("div",{className:"MathJax_Display"});l.appendChild(z)}else{if(this.msieDisappearingBug){z.style.display="inline-block"}}l.setAttribute("role","textbox");l.setAttribute("aria-readonly","true");l.className+=" MathJax_Processing";y.parentNode.insertBefore(l,y);y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y);if(v){l.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),l)}}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=y.previousSibling;l=x.previousSibling;k=y.MathJax.elementJax;w=x.firstChild.offsetHeight/60;p=x.lastChild.firstChild.offsetHeight/60;if(v){j=l.previousSibling.firstChild.offsetWidth}if(w===0||w==="NaN"){this.hiddenDiv.appendChild(l);k.HTMLCSS.isHidden=true;w=this.defaultEx;p=this.defaultEm;if(v){j=this.defaultWidth}}r=Math.floor(Math.max(this.config.minScaleAdjust/100,(w/this.TeX.x_height)/p)*this.config.scale);k.HTMLCSS.scale=r/100;k.HTMLCSS.fontSize=r+"%";k.HTMLCSS.em=k.HTMLCSS.outerEm=p;this.em=p*r/100;k.HTMLCSS.ex=w;k.HTMLCSS.lineWidth=(A?this.length2em(o,1,j/this.em):1000000)}for(u=0;u<q;u++){y=t[u];if(!y.parentNode){continue}x=t[u].previousSibling;k=t[u].MathJax.elementJax;if(v){z=x.previousSibling;if(!k.HTMLCSS.isHidden){z=z.previousSibling}z.parentNode.removeChild(z)}x.parentNode.removeChild(x)}n.HTMLCSSeqn=n.HTMLCSSlast=0;n.HTMLCSSchunk=this.config.EqnChunk;n.HTMLCSSdelay=false},Translate:function(k,o){if(!k.parentNode){return}if(o.HTMLCSSdelay){o.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var j=k.MathJax.elementJax,n=j.root,l=document.getElementById(j.inputID+"-Frame"),p=(j.HTMLCSS.display?l.parentNode:l);this.em=f.mbase.prototype.em=j.HTMLCSS.em*j.HTMLCSS.scale;this.outerEm=j.HTMLCSS.em;this.scale=j.HTMLCSS.scale;this.linebreakWidth=j.HTMLCSS.lineWidth;l.style.fontSize=j.HTMLCSS.fontSize;this.initImg(l);this.initHTML(n,l);n.setTeXclass();try{n.toHTML(l,p)}catch(m){if(m.restart){while(l.firstChild){l.removeChild(l.firstChild)}}throw m}if(j.HTMLCSS.isHidden){k.parentNode.insertBefore(p,k)}p.className=p.className.split(/ /)[0];if(this.hideProcessedMath){p.className+=" MathJax_Processed";if(k.MathJax.preview){j.HTMLCSS.preview=k.MathJax.preview;delete k.MathJax.preview}o.HTMLCSSeqn++;if(o.HTMLCSSeqn>=o.HTMLCSSlast+o.HTMLCSSchunk){this.postTranslate(o);o.HTMLCSSchunk=Math.floor(o.HTMLCSSchunk*this.config.EqnChunkFactor);o.HTMLCSSdelay=true}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o<j;o++){var l=k[o];if(l){l.previousSibling.className=l.previousSibling.className.split(/ /)[0];var p=l.MathJax.elementJax.HTMLCSS;if(p.preview){p.preview.innerHTML="";l.MathJax.preview=p.preview;delete p.preview}}}if(this.forceReflow){var n=(document.styleSheets||[])[0]||{};n.disabled=true;n.disabled=false}q.HTMLCSSlast=q.HTMLCSSeqn},getJaxFromMath:function(j){if(j.parentNode.className==="MathJax_Display"){j=j.parentNode}return b.getJaxFor(j.nextSibling)},getHoverSpan:function(j,k){return j.root.HTMLspanElement()},getHoverBBox:function(j,m,n){var o=m.bbox,l=j.HTMLCSS.outerEm;var k={w:o.w*l,h:o.h*l,d:o.d*l};if(o.width){k.width=o.width}return k},Zoom:function(k,u,t,j,r){u.className="MathJax";u.style.fontSize=k.HTMLCSS.fontSize;var w=u.appendChild(this.EmExSpan.cloneNode(true));var n=w.lastChild.firstChild.offsetHeight/60;this.em=f.mbase.prototype.em=n;this.outerEm=n/k.HTMLCSS.scale;w.parentNode.removeChild(w);this.idPostfix="-zoom";k.root.toHTML(u,u);this.idPostfix="";var m=k.root.HTMLspanElement().bbox.width;if(m){u.style.width=Math.floor(j-1.5*d.em)+"px";u.style.display="inline-block";var l=(k.root.id||"MathJax-Span-"+k.root.spanID)+"-zoom";var o=document.getElementById(l).firstChild;while(o&&o.style.width!==m){o=o.nextSibling}if(o){o.style.width="100%"}}u.style.position=t.style.position="absolute";var s=u.offsetWidth,q=u.offsetHeight,v=t.offsetHeight,p=t.offsetWidth;if(p===0){p=t.parentNode.offsetWidth}u.style.position=t.style.position="";return{Y:-i.getBBox(u).h,mW:p,mH:v,zW:s,zH:q}},initImg:function(j){},initHTML:function(k,j){},initFont:function(j){var l=d.FONTDATA.FONTS,k=d.config.availableFonts;if(k&&k.length&&d.Font.testFont(l[j])){l[j].available=true;return null}if(!this.allowWebFonts){return null}l[j].isWebFont=true;if(d.FontFaceBug){l[j].family=j;if(d.msieFontCSSBug){l[j].family+="-Web"}}return g.Styles({"@font-face":this.Font.fontFace(j)})},Remove:function(j){var k=document.getElementById(j.inputID+"-Frame");if(k){if(j.HTMLCSS.display){k=k.parentNode}k.parentNode.removeChild(k)}delete j.HTMLCSS},getHD:function(k){var j=k.style.position;k.style.position="absolute";this.HDimg.style.height="0px";k.appendChild(this.HDspan);var l={h:k.offsetHeight};this.HDimg.style.height=l.h+"px";l.d=k.offsetHeight-l.h;l.h-=l.d;l.h/=this.em;l.d/=this.em;k.removeChild(this.HDspan);k.style.position=j;return l},getW:function(n){var k,m,l=(n.bbox||{}).w,o=n;if(n.bbox&&n.bbox.exactW){return l}if((n.bbox&&l>=0&&!this.initialSkipBug)||this.negativeBBoxes||!n.firstChild){k=n.offsetWidth;m=n.parentNode.offsetHeight}else{if(n.bbox&&l<0&&this.msieNegativeBBoxBug){k=-n.offsetWidth,m=n.parentNode.offsetHeight}else{if(this.initialSkipBug){var j=n.style.position;n.style.position="absolute";o=this.startMarker;n.insertBefore(o,n.firstChild)}n.appendChild(this.endMarker);k=this.endMarker.offsetLeft-o.offsetLeft;n.removeChild(this.endMarker);if(this.initialSkipBug){n.removeChild(o);n.style.position=j}}}if(m!=null){n.parentNode.HH=m/this.em}return k/this.em},Measured:function(l,k){var m=l.bbox;if(m.width==null&&m.w&&!m.isMultiline){var j=this.getW(l);m.rw+=j-m.w;m.w=j;m.exactW=true}if(!k){k=l.parentNode}if(!k.bbox){k.bbox=m}return l},Remeasured:function(k,j){j.bbox=this.Measured(k,j).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p<l;p++){s=n[p];if(!s){continue}t=s.bbox;if(t.exactW||t.width||t.w===0||t.isMultiline){if(!s.parentNode.bbox){s.parentNode.bbox=t}continue}if(this.negativeBBoxes||!s.firstChild||(t.w>=0&&!this.initialSkipBug)||(t.w<0&&this.msieNegativeBBoxBug)){q.push([s])}else{if(this.initialSkipBug){j=this.startMarker.cloneNode(true);o=this.endMarker.cloneNode(true);s.insertBefore(j,s.firstChild);s.appendChild(o);q.push([s,j,o,s.style.position]);s.style.position="absolute"}else{o=this.endMarker.cloneNode(true);s.appendChild(o);q.push([s,null,o])}}}for(p=0,l=q.length;p<l;p++){s=q[p][0];t=s.bbox;var r=s.parentNode;if((t.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-((q[p][1]||{}).offsetLeft||0)}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p<l;p++){s=q[p];if(s[1]){s[1].parentNode.removeChild(s[1]),s[0].style.position=s[3]}if(s[2]){s[2].parentNode.removeChild(s[2])}}},Em:function(j){if(Math.abs(j)<0.0006){return"0em"}return j.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(j){return(100*j).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,k,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===f.SIZE.NORMAL){return 1}if(q===f.SIZE.BIG){return 2}if(q===f.SIZE.SMALL){return 0.71}if(q==="infinity"){return d.BIGDIMEN}var n=this.FONTDATA.TeX_factor;if(q.match(/mathspace$/)){return d.MATHSPACE[q]*n}var l=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var j=parseFloat(l[1]||"1"),p=l[2];if(o==null){o=1}if(k==null){k=1}if(p==="em"){return j*n}if(p==="ex"){return j*d.TeX.x_height*n}if(p==="%"){return j/100*o}if(p==="px"){return j/d.em}if(p==="pt"){return j/10*n}if(p==="pc"){return j*1.2*n}if(p==="in"){return j*this.pxPerInch/d.em}if(p==="cm"){return j*this.pxPerInch/d.em/2.54}if(p==="mm"){return j*this.pxPerInch/d.em/25.4}if(p==="mu"){return j/18*n*k}return j*n*o},thickness2em:function(k,j){var l=d.TeX.rule_thickness;if(k===f.LINETHICKNESS.MEDIUM){return l}if(k===f.LINETHICKNESS.THIN){return 0.67*l}if(k===f.LINETHICKNESS.THICK){return 1.67*l}return this.length2em(k,j,l)},getPadding:function(k){var m={top:0,right:0,bottom:0,left:0},j=false;for(var n in m){if(m.hasOwnProperty(n)){var l=k.style["padding"+n.charAt(0).toUpperCase()+n.substr(1)];if(l){m[n]=this.length2em(l);j=true}}}return(j?m:false)},getBorders:function(o){var l={top:0,right:0,bottom:0,left:0},m={},k=false;for(var p in l){if(l.hasOwnProperty(p)){var j="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[j+"Style"];if(n){k=true;l[p]=this.length2em(o.style[j+"Width"]);m[j]=[o.style[j+"Width"],o.style[j+"Style"],o.style[j+"Color"]].join(" ")}}}l.css=m;return(k?l:false)},setBorders:function(j,k){if(k){for(var l in k.css){if(k.css.hasOwnProperty(l)){j.style[l]=k.css[l]}}}},createStrut:function(l,k,m){var j=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});if(m){l.insertBefore(j,l.firstChild)}else{l.appendChild(j)}return j},createBlank:function(k,j,l){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(j)}});if(l){k.insertBefore(m,k.firstChild)}else{k.appendChild(m)}return m},createShift:function(k,j,m){var 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y="",w,B,s,C,j=z,k=!!z.style.fontFamily;if(r.length===0){return}if(!z.bbox){z.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!o){o=this.FONTDATA.VARIANT[f.VARIANT.NORMAL]}C=o;for(var A=0,x=r.length;A<x;A++){o=C;w=r.charCodeAt(A);B=r.charAt(A);if(w>=55296&&w<56319){A++;w=(((w-55296)<<10)+(r.charCodeAt(A)-56320))+65536;if(this.FONTDATA.RemapPlane1){var D=this.FONTDATA.RemapPlane1(w,o);w=D.n;o=D.variant}}else{var t,q,u=this.FONTDATA.RANGES;for(t=0,q=u.length;t<q;t++){if(u[t].name==="alpha"&&o.noLowerCase){continue}var p=o["offset"+u[t].offset];if(p&&w>=u[t].low&&w<=u[t].high){if(u[t].remap&&u[t].remap[w]){w=p+u[t].remap[w]}else{w=w-u[t].low+p;if(u[t].add){w+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[w]){if(o.remap[w] instanceof Array){var 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k=this.HTMLspanElement();if(k.style.fontSize!=""){j.fontsize=k.style.fontSize}}if(j.fontsize&&!this.mathsize){j.mathsize=j.fontsize}if(j.scriptlevel!==0){if(j.scriptlevel>2){j.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),j.scriptlevel);j.scriptminsize=d.length2em(this.Get("scriptminsize"));if(l<j.scriptminsize){l=j.scriptminsize}}l*=d.length2em(j.mathsize);return l},HTMLgetMu:function(l){var j=1,k=this.getValues("scriptlevel","scriptsizemultiplier");if(l.scale&&l.scale!==1){j=1/l.scale}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");j.hasVariant=this.Get("mathvariant",true);if(!j.hasVariant){j.family=j.fontfamily;j.weight=j.fontweight;j.style=j.fontstyle}if(this.style){var l=this.HTMLspanElement();if(!j.family&&l.style.fontFamily){j.family=l.style.fontFamily}if(!j.weight&&l.style.fontWeight){j.weight=l.style.fontWeight}if(!j.style&&l.style.fontStyle){j.style=l.style.fontStyle}}if(j.weight&&j.weight.match(/^\d+$/)){j.weight=(parseInt(j.weight)>600?"bold":"normal")}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.family&&!j.hasVariant){if(!j.weight&&j.mathvariant.match(/bold/)){j.weight="bold"}if(!j.style&&j.mathvariant.match(/italic/)){j.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.family,style:j.style,weight:j.weight}}}if(j.weight==="bold"){k={normal:f.VARIANT.BOLD,italic:f.VARIANT.BOLDITALIC,fraktur:f.VARIANT.BOLDFRAKTUR,script:f.VARIANT.BOLDSCRIPT,"sans-serif":f.VARIANT.BOLDSANSSERIF,"sans-serif-italic":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.weight==="normal"){k={bold:f.VARIANT.normal,"bold-italic":f.VARIANT.ITALIC,"bold-fraktur":f.VARIANT.FRAKTUR,"bold-script":f.VARIANT.SCRIPT,"bold-sans-serif":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.SANSSERIFITALIC}[k]||k}}if(j.style==="italic"){k={normal:f.VARIANT.ITALIC,bold:f.VARIANT.BOLDITALIC,"sans-serif":f.VARIANT.SANSSERIFITALIC,"bold-sans-serif":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.style==="normal"){k={italic:f.VARIANT.NORMAL,"bold-italic":f.VARIANT.BOLD,"sans-serif-italic":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.BOLDSANSSERIF}[k]||k}}return 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m=d.getHD(l),j=d.getW(l);l.bbox={h:m.h,d:m.d,w:j,lw:0,rw:j,exactW:true}}else{this.HTMLhandleVariant(l,k,o)}}});f.mi.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}var p=this.data.join(""),o=n.bbox;if(o.skew&&p.length!==1){delete o.skew}if(o.rw>o.w&&p.length===1&&!l.noIC){o.ic=o.rw-o.w;d.createBlank(n,o.ic);o.w=o.rw}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.mn.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));n.bbox=null;var l=this.HTMLgetVariant();for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return 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q=this.getValues("symmetric","maxsize","minsize");var o=this.HTMLspanElement(),r=this.HTMLgetMu(o),p;var j=d.TeX.axis_height,k=o.scale;if(q.symmetric){p=2*Math.max(m-j,n+j)}else{p=m+n}q.maxsize=d.length2em(q.maxsize,r,o.bbox.h+o.bbox.d);q.minsize=d.length2em(q.minsize,r,o.bbox.h+o.bbox.d);p=Math.max(q.minsize,Math.min(q.maxsize,p));o=this.HTMLcreateSpan(l);d.createDelimiter(o,this.data.join("").charCodeAt(0),p,k);if(q.symmetric){p=(o.bbox.h+o.bbox.d)/2+j}else{p=(o.bbox.h+o.bbox.d)*m/(m+n)}d.positionDelimiter(o,p);this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:function(n,j){this.HTMLremoveColor();var l=this.getValues("maxsize","minsize","mathvariant","fontweight");if((l.fontweight==="bold"||parseInt(l.fontweight)>=600)&&!this.Get("mathvariant",true)){l.mathvariant=f.VARIANT.BOLD}var m=this.HTMLspanElement(),k=this.HTMLgetMu(m),o=m.scale;l.maxsize=d.length2em(l.maxsize,k,m.bbox.w);l.minsize=d.length2em(l.minsize,k,m.bbox.w);j=Math.max(l.minsize,Math.min(l.maxsize,j));m=this.HTMLcreateSpan(n);d.createDelimiter(m,this.data.join("").charCodeAt(0),j,o,l.mathvariant);this.HTMLhandleSpace(m);this.HTMLhandleColor(m);return m}});f.mtext.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){l=null}for(var k=0,j=this.data.length;k<j;k++){if(this.data[k]){this.data[k].toHTML(n,l)}}if(!n.bbox){n.bbox={w:0,h:0,d:0,rw:0,lw:0}}if(this.data.join("").length!==1){delete n.bbox.skew}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});f.merror.Augment({toHTML:function(k){var m=MathJax.HTML.addElement(k,"span",{style:{display:"inline-block"}});k=this.SUPER(arguments).toHTML.call(this,m);var l=d.getHD(m),j=d.getW(m);m.bbox={h:l.h,d:l.d,w:j,lw:0,rw:j,exactW:true};m.id=k.id;k.id=null;return m}});f.ms.Augment({toHTML:f.mbase.HTMLautoload});f.mglyph.Augment({toHTML:f.mbase.HTMLautoload});f.mspace.Augment({toHTML:function(n){n=this.HTMLhandleSize(this.HTMLcreateSpan(n));var l=this.getValues("height","depth","width");var k=this.HTMLgetMu(n);l.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){l.mathbackground=this.background}var m=d.length2em(l.height,k)/n.scale,o=d.length2em(l.depth,k)/n.scale,j=d.length2em(l.width,k)/n.scale;d.createSpace(n,m,o,j,l.mathbackground);return n}});f.mphantom.Augment({toHTML:function(n,k,p){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var o=this.data[0].toHTML(n);if(p!=null){d.Remeasured(this.data[0].HTMLstretchV(n,k,p),n)}else{if(k!=null){d.Remeasured(this.data[0].HTMLstretchH(n,k),n)}else{o=d.Measured(o,n)}}n.bbox={w:o.bbox.w,h:o.bbox.h,d:o.bbox.d,lw:0,rw:0,exactW:true};for(var l=0,j=n.childNodes.length;l<j;l++){n.childNodes[l].style.visibility="hidden"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mpadded.Augment({toHTML:function(r,l,j){r=this.HTMLcreateSpan(r);if(this.data[0]!=null){var p=d.createStack(r,true);var m=d.createBox(p);var k=this.data[0].toHTML(m);if(j!=null){d.Remeasured(this.data[0].HTMLstretchV(m,l,j),m)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(m,l),m)}else{d.Measured(k,m)}}var s=this.getValues("height","depth","width","lspace","voffset"),q=0,o=0,t=this.HTMLgetMu(r);if(s.lspace){q=this.HTMLlength2em(m,s.lspace,t)}if(s.voffset){o=this.HTMLlength2em(m,s.voffset,t)}d.placeBox(m,q,o);r.bbox={h:m.bbox.h,d:m.bbox.d,w:m.bbox.w,exactW:true,lw:Math.min(0,m.bbox.lw+q),rw:Math.max(m.bbox.w,m.bbox.rw+q),H:Math.max((m.bbox.H==null?-d.BIGDIMEN:m.bbox.H),m.bbox.h+o),D:Math.max((m.bbox.D==null?-d.BIGDIMEN:m.bbox.D),m.bbox.d-o)};if(s.height!==""){r.bbox.h=this.HTMLlength2em(m,s.height,t,"h",0)}if(s.depth!==""){r.bbox.d=this.HTMLlength2em(m,s.depth,t,"d",0)}if(s.width!==""){r.bbox.w=this.HTMLlength2em(m,s.width,t,"w",0)}if(r.bbox.H<=r.bbox.h){delete r.bbox.H}if(r.bbox.D<=r.bbox.d){delete r.bbox.D}var n=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;r.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||n.exec(s.height)||n.exec(s.width)||n.exec(s.depth));d.setStackWidth(p,r.bbox.w)}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return 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m=this.data[0].toHTML(k);if(l!=null){this.data[0].HTMLstretchV(k,j,l)}else{if(j!=null){this.data[0].HTMLstretchH(k,j)}}k.bbox=m.bbox}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mfrac.Augment({toHTML:function(C){C=this.HTMLcreateSpan(C);var l=d.createStack(C);var o=d.createBox(l),n=d.createBox(l);d.MeasureSpans([this.HTMLboxChild(0,o),this.HTMLboxChild(1,n)]);var j=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var G=this.HTMLgetScale(),B=j.displaystyle;var F=d.TeX.axis_height*G;if(j.bevelled){var E=(B?0.4:0.15);var r=Math.max(o.bbox.h+o.bbox.d,n.bbox.h+n.bbox.d)+2*E;var D=d.createBox(l);d.createDelimiter(D,47,r);d.placeBox(o,0,(o.bbox.d-o.bbox.h)/2+F+E);d.placeBox(D,o.bbox.w-E/2,(D.bbox.d-D.bbox.h)/2+F);d.placeBox(n,o.bbox.w+D.bbox.w-E,(n.bbox.d-n.bbox.h)/2+F-E)}else{var k=Math.max(o.bbox.w,n.bbox.w);var x=d.thickness2em(j.linethickness,G),z,y,w,s;var A=d.TeX.min_rule_thickness/this.em;if(B){w=d.TeX.num1;s=d.TeX.denom1}else{w=(x===0?d.TeX.num3:d.TeX.num2);s=d.TeX.denom2}w*=G;s*=G;if(x===0){z=Math.max((B?7:3)*d.TeX.rule_thickness,2*A);y=(w-o.bbox.d)-(n.bbox.h-s);if(y<z){w+=(z-y)/2;s+=(z-y)/2}}else{z=Math.max((B?2:0)*A+x,x/2+1.5*A);y=(w-o.bbox.d)-(F+x/2);if(y<z){w+=z-y}y=(F-x/2)-(n.bbox.h-s);if(y<z){s+=z-y}var m=d.createBox(l);d.createRule(m,x,0,k+2*x);d.placeBox(m,0,F-x/2)}d.alignBox(o,j.numalign,w);d.alignBox(n,j.denomalign,-s)}this.HTMLhandleSpace(C);this.HTMLhandleColor(C);return C},HTMLcanStretch:function(j){return false},HTMLhandleSpace:function(j){if(!this.texWithDelims){var k=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;j.style.paddingLeft=d.Em(k);j.style.paddingRight=".12em"}}});f.msqrt.Augment({toHTML:function(v){v=this.HTMLcreateSpan(v);var y=d.createStack(v);var m=d.createBox(y),s=d.createBox(y),r=d.createBox(y);var o=this.HTMLgetScale();var z=d.TeX.rule_thickness*o,l,k,w,n;if(this.Get("displaystyle")){l=d.TeX.x_height*o}else{l=z}k=Math.max(z+l/4,1.5*d.TeX.min_rule_thickness/this.em);var j=this.HTMLboxChild(0,m);w=j.bbox.h+j.bbox.d+k+z;d.createDelimiter(r,8730,w,o);d.MeasureSpans([j,r]);n=j.bbox.w;var u=0;if(r.isMultiChar||(d.AdjustSurd&&d.imgFonts)){r.bbox.w*=0.95}if(r.bbox.h+r.bbox.d>w){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||n<A.HW[0][0]*o||o<0.75){d.createRule(s,z,0,n)}else{d.createDelimiter(s,d.FONTDATA.RULECHAR,n,o)}w=j.bbox.h+k+z;k=w*d.rfuzz;if(r.isMultiChar){k=d.rfuzz}u=this.HTMLaddRoot(y,r,u,r.bbox.h+r.bbox.d-w,o);d.placeBox(r,u,w-r.bbox.h);d.placeBox(s,u+r.bbox.w,w-s.bbox.h+k);d.placeBox(m,u+r.bbox.w,0);this.HTMLhandleSpace(v);this.HTMLhandleColor(v);return v},HTMLaddRoot:function(l,k,j,n,m){return j}});f.mroot.Augment({toHTML:f.msqrt.prototype.toHTML,HTMLaddRoot:function(r,k,p,n,j){var l=d.createBox(r);if(this.data[1]){var o=this.data[1].toHTML(l);o.style.paddingRight=o.style.paddingLeft="";d.Measured(o,l)}else{l.bbox=this.HTMLzeroBBox()}var m=this.HTMLrootHeight(k.bbox.h+k.bbox.d,j,l)-n;var q=Math.min(l.bbox.w,l.bbox.rw);p=Math.max(q,k.offset);d.placeBox(l,p-q,m);return p-k.offset},HTMLrootHeight:function(l,k,j){return 0.45*(l-0.9*k)+0.6*k+Math.max(0,j.bbox.d-0.075)}});f.mfenced.Augment({toHTML:function(n){n=this.HTMLcreateSpan(n);if(this.data.open){this.data.open.toHTML(n)}if(this.data[0]!=null){this.data[0].toHTML(n)}for(var k=1,j=this.data.length;k<j;k++){if(this.data[k]){if(this.data["sep"+k]){this.data["sep"+k].toHTML(n)}this.data[k].toHTML(n)}}if(this.data.close){this.data.close.toHTML(n)}var p=this.HTMLcomputeBBox(n);var l=n.bbox.h,o=n.bbox.d;for(k=0,j=p.length;k<j;k++){p[k].HTMLstretchV(n,l,o)}if(p.length){this.HTMLcomputeBBox(n,true)}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLcomputeBBox:function(o,n){var k=o.bbox={},p=[];this.HTMLcheckStretchy(this.data.open,k,p,n);this.HTMLcheckStretchy(this.data[0],k,p,n);for(var l=1,j=this.data.length;l<j;l++){if(this.data[l]){this.HTMLcheckStretchy(this.data["sep"+l],k,p,n);this.HTMLcheckStretchy(this.data[l],k,p,n)}}this.HTMLcheckStretchy(this.data.close,k,p,n);this.HTMLcleanBBox(k);return p},HTMLcheckStretchy:function(j,k,m,l){if(j){if(!l&&j.HTMLcanStretch("Vertical")){m.push(j);j=(j.CoreMO()||j)}this.HTMLcombineBBoxes(j,k)}}});f.menclose.Augment({toHTML:f.mbase.HTMLautoload});f.maction.Augment({toHTML:f.mbase.HTMLautoload});f.semantics.Augment({toHTML:function(j){if(this.data[0]!=null){j=this.data[0].toHTML(j);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(j)}return j},HTMLspanElement:function(){return(this.data[0]!=null?this.data[0].HTMLspanElement():null)},HTMLstretchH:function(k,j){return(this.data[0]!=null?this.data[0].HTMLstretchH(k,j):k)},HTMLstretchV:function(k,j,l){return(this.data[0]!=null?this.data[0].HTMLstretchV(k,j,l):k)}});f.munderover.Augment({toHTML:function(K,G,E){var j=this.getValues("displaystyle","accent","accentunder","align");if(!j.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return f.msubsup.prototype.toHTML.call(this,K)}K=this.HTMLcreateSpan(K);var O=this.HTMLgetScale();var p=d.createStack(K);var q=[],n=[],M=[],v,L,H;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L]=d.createBox(p);n[L]=this.data[L].toHTML(v);if(L==this.base){if(E!=null){this.data[this.base].HTMLstretchV(v,G,E)}else{if(G!=null){this.data[this.base].HTMLstretchH(v,G)}}M[L]=(E==null&&G!=null?false:this.data[L].HTMLcanStretch("Horizontal"))}else{M[L]=this.data[L].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(n);var l=-d.BIGDIMEN,J=l;for(L=0,H=this.data.length;L<H;L++){if(this.data[L]){if(q[L].bbox.w>J){J=q[L].bbox.w}if(!M[L]&&J>l){l=J}}}if(E==null&&G!=null){l=G}else{if(l==-d.BIGDIMEN){l=J}}for(L=J=0,H=this.data.length;L<H;L++){if(this.data[L]){v=q[L];if(M[L]){v.bbox=this.data[L].HTMLstretchH(v,l).bbox}if(v.bbox.w>J){J=v.bbox.w}}}var C=d.TeX.rule_thickness,F=d.FONTDATA.TeX_factor;var o=q[this.base]||{bbox:this.HTMLzeroBBox()};var u,r,z,w,s,B,I,N=0;if(o.bbox.ic){N=1.3*o.bbox.ic+0.05}for(L=0,H=this.data.length;L<H;L++){if(this.data[L]!=null){v=q[L];s=d.TeX.big_op_spacing5*O;var A=(L!=this.base&&j[this.ACCENTS[L]]);if(A&&v.bbox.w<=1/d.em+0.0001){v.bbox.w=v.bbox.rw-v.bbox.lw;v.bbox.noclip=true;if(v.bbox.lw&&!d.zeroWidthBug){v.insertBefore(d.createSpace(v.parentNode,0,0,-v.bbox.lw),v.firstChild)}d.createBlank(v,0,0,v.bbox.rw+0.1)}B={left:0,center:(J-v.bbox.w)/2,right:J-v.bbox.w}[j.align];u=B;r=0;if(L==this.over){if(A){I=Math.max(C*O*F,2.5/this.em);s=0;if(o.bbox.skew){u+=o.bbox.skew}}else{z=d.TeX.big_op_spacing1*O*F;w=d.TeX.big_op_spacing3*O*F;I=Math.max(z,w-Math.max(0,v.bbox.d))}I=Math.max(I,1.5/this.em);u+=N/2;r=o.bbox.h+v.bbox.d+I;v.bbox.h+=s}else{if(L==this.under){if(A){I=3*C*O*F;s=0}else{z=d.TeX.big_op_spacing2*O*F;w=d.TeX.big_op_spacing4*O*F;I=Math.max(z,w-v.bbox.h)}I=Math.max(I,1.5/this.em);u-=N/2;r=-(o.bbox.d+v.bbox.h+I);v.bbox.d+=s}}d.placeBox(v,u,r)}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.msubsup.Augment({toHTML:function(J,H,B){J=this.HTMLcreateSpan(J);var M=this.HTMLgetScale(),G=this.HTMLgetMu(J);var o=d.createStack(J),k,m=[];var n=d.createBox(o);if(this.data[this.base]){m.push(this.data[this.base].toHTML(n));if(B!=null){this.data[this.base].HTMLstretchV(n,H,B)}else{if(H!=null){this.data[this.base].HTMLstretchH(n,H)}}}else{n.bbox=this.HTMLzeroBBox()}var l=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var K=d.TeX.x_height*M,A=d.TeX.scriptspace*M*0.75;var j,w;if(this.HTMLnotEmpty(this.data[this.sup])){j=d.createBox(o);m.push(this.data[this.sup].toHTML(j))}if(this.HTMLnotEmpty(this.data[this.sub])){w=d.createBox(o);m.push(this.data[this.sub].toHTML(w))}d.MeasureSpans(m);if(j){j.bbox.w+=A;j.bbox.rw=Math.max(j.bbox.w,j.bbox.rw)}if(w){w.bbox.w+=A;w.bbox.rw=Math.max(w.bbox.w,w.bbox.rw)}d.placeBox(n,0,0);var E=d.TeX.sup_drop*l,C=d.TeX.sub_drop*l;var y=n.bbox.h-E,x=n.bbox.d+C,L=0,F;if(n.bbox.ic){n.bbox.w-=n.bbox.ic;L=1.3*n.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&n.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=x=0}}var I=this.getValues("subscriptshift","superscriptshift");I.subscriptshift=(I.subscriptshift===""?0:d.length2em(I.subscriptshift,G));I.superscriptshift=(I.superscriptshift===""?0:d.length2em(I.superscriptshift,G));if(!j){if(w){x=Math.max(x,d.TeX.sub1*M,w.bbox.h-(4/5)*K,I.subscriptshift);d.placeBox(w,n.bbox.w,-x,w.bbox)}}else{if(!w){k=this.getValues("displaystyle","texprimestyle");F=d.TeX[(k.displaystyle?"sup1":(k.texprimestyle?"sup3":"sup2"))];y=Math.max(y,F*M,j.bbox.d+(1/4)*K,I.superscriptshift);d.placeBox(j,n.bbox.w+L,y,j.bbox)}else{x=Math.max(x,d.TeX.sub2*M);var z=d.TeX.rule_thickness*M;if((y-j.bbox.d)-(w.bbox.h-x)<3*z){x=3*z-y+j.bbox.d+w.bbox.h;E=(4/5)*K-(y-j.bbox.d);if(E>0){y+=E;x-=E}}d.placeBox(j,n.bbox.w+L,Math.max(y,I.superscriptshift));d.placeBox(w,n.bbox.w,-Math.max(x,I.subscriptshift))}}this.HTMLhandleSpace(J);this.HTMLhandleColor(J);return J},HTMLstretchH:f.mbase.HTMLstretchH,HTMLstretchV:f.mbase.HTMLstretchV});f.mmultiscripts.Augment({toHTML:f.mbase.HTMLautoload});f.mtable.Augment({toHTML:f.mbase.HTMLautoload});f["annotation-xml"].Augment({toHTML:f.mbase.HTMLautoload});f.math.Augment({toHTML:function(s,k){var o=this.Get("alttext");if(o&&o!==""){k.setAttribute("aria-label",o)}var l=d.addElement(s,"nobr",{isMathJax:true});s=this.HTMLcreateSpan(l);var q=d.createStack(s),m=d.createBox(q),r;q.style.fontSize=l.parentNode.style.fontSize;l.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}f.mbase.prototype.displayAlign=b.config.displayAlign;f.mbase.prototype.displayIndent=b.config.displayIndent;r=d.Measured(this.data[0].toHTML(m),m)}d.placeBox(m,0,0);var j=1/d.em,n=d.em/d.outerEm;d.em/=n;s.bbox.h*=n;s.bbox.d*=n;s.bbox.w*=n;s.bbox.lw*=n;s.bbox.rw*=n;if(r&&r.bbox.width!=null){q.style.width=r.bbox.width;m.style.width="100%"}this.HTMLhandleColor(s);if(r){d.createRule(s,(r.bbox.h+j)*n,(r.bbox.d+j)*n,0)}if(!this.isMultiline&&this.Get("display")==="block"&&s.bbox.width==null){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==f.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===f.INDENTALIGN.AUTO){t.indentalign=this.displayAlign}k.style.textAlign=t.indentalign;if(t.indentshiftfirst!==f.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift=this.displayIndent}if(t.indentshift&&t.indentalign!==f.INDENTALIGN.CENTER){s.style[{left:"marginLeft",right:"marginRight"}[t.indentalign]]=d.Em(d.length2em(t.indentshift))}}return s},HTMLspanElement:f.mbase.prototype.HTMLspanElement});f.TeXAtom.Augment({toHTML:function(k){k=this.HTMLcreateSpan(k);if(this.data[0]!=null){if(this.texClass===f.TEXCLASS.VCENTER){var j=d.createStack(k);var l=d.createBox(j);d.Measured(this.data[0].toHTML(l),l);d.placeBox(l,0,d.TeX.axis_height-(l.bbox.h+l.bbox.d)/2+l.bbox.d)}else{k.bbox=this.data[0].toHTML(k).bbox}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(j){var n=(document.documentMode||0);var m=j.versionAtLeast("7.0");var l=j.versionAtLeast("8.0")&&n>7;var k=(document.compatMode==="BackCompat");if(n<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax 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j=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var k=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var p=(l&&o.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!o.versionAtLeast("5.0"))||(k!=null&&(k[1]<2||(k[1]==2&&k[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!l,safariTextNodeBug:!m,forceReflow:true,allowWebFonts:(l&&!p?"otf":false)});if(j){d.Augment({webFontDefault:(o.isMobile?"sans-serif":"serif")})}if(o.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(p){var n=b.config["HTML-CSS"];if(n){n.availableFonts=[];n.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(j){d.Augment({rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(j.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(j){j.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:j.versionAtLeast("10.61"),initialSkipBug:true,zeroWidthBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(j.versionAtLeast("10.0")&&!j.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(j){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End 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k=document.createElement("object");k.id="mathplayer";k.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(k);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");b.Browser.hasMathPlayer=true}if(!b.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");b.Browser.mpImported=true}}catch(l){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(l){var r=l.jax[this.id],s,n=r.length,w,p,y,u,x,k,t,q,o;for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}if(!this.initialized){this.InitializeMML()}p=w.previousSibling;if(p&&p.className==="MathJax_MathML"){p.parentNode.removeChild(p)}k=w.MathJax.elementJax;x=k.root;k.NativeMML={};var v=(x.Get("display")==="block"?"div":"span");y=d.Element(v,{className:"MathJax_MathML",id:k.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);w.parentNode.insertBefore(y,w);if(!h){w.parentNode.insertBefore(this.EmExSpan.cloneNode(true),w)}}for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}k=w.MathJax.elementJax;if(!h){u=w.previousSibling;y=u.previousSibling;t=u.firstChild.offsetWidth/60;q=u.lastChild.offsetWidth/60;if(t===0||t==="NaN"){t=this.defaultEx;q=this.defaultMEx}o=(q>1?t/q:1)*this.config.scale;o=Math.floor(Math.max(this.config.minScaleAdjust/100,o))}else{o=100}k.NativeMML.fontSize=o+"%"}if(!h){for(s=0;s<n;s++){w=r[s];if(!w.parentNode){continue}u=r[s].previousSibling;u.parentNode.removeChild(u)}}},Translate:function(q){if(!q.parentNode){return}var k=q.MathJax.elementJax,r=k.root;var s=document.getElementById(k.inputID+"-Frame"),l=s.firstChild,o=l.firstChild;s.style.fontSize=k.NativeMML.fontSize;try{r.toNativeMML(o)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}throw p}if(h){if(l.addEventListener){for(var m in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(m)){l.addEventListener(m,this.MSIE9event,true)}}}else{var n=(this.config.showMathMenuMSIE!=null?this:b).config;if(n.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(l)}else{l.style.position="";o.firstChild.onmousedown=this.MSIEaltMenu}}}else{l.oncontextmenu=g.Menu;l.onmouseover=g.Mouseover;l.onmouseout=g.Mouseout;l.onmousedown=g.Mousedown;l.onclick=g.Click;l.ondblclick=g.DblClick}},postTranslate:function(l){if(this.forceReflow){var k=(document.styleSheets||[])[0]||{};k.disabled=true;k.disabled=false}},Remove:function(k){var l=k.SourceElement();if(!l){return}l=l.previousSibling;if(!l){return}if(l.className.match(/MathJax_MathML/)){l.parentNode.removeChild(l)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(k){var l=k.firstChild;if(l.nodeName.toLowerCase()==="span"){l=l.firstChild}var 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false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,l)},getJaxFromMath:function(k){return b.getJaxFor(k.parentNode.nextSibling)},getHoverSpan:function(k,l){return l.firstChild},getHoverBBox:function(k,l,m){return g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r,r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" 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p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var 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false}if(l.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(k==="ContextMenu"||k==="Mouseover"||k==="Mouseout"){this.msieMath.fireEvent("on"+l.type,l)}}return g.False(l)},MSIEaltMenu:function(){var k=this.parentNode.parentNode;while(!k.jaxID){k=k.parentNode}g.AltContextMenu(window.event,k)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(l){if(l.type==="contextmenu"&&j.settings.mpContext){return true}if(l.type==="mouseup"&&j.settings.mpMouse){return true}if(l.type==="click"&&j.settings.mpContext){return g.AltContextMenu(l,this)}var k=j.MSIE9events[l.type];return g[k].call(this,l)},getJaxFromMath:function(k){return b.getJaxFor(k.parentNode.nextSibling)},getHoverSpan:function(k,l){return l.firstChild},getHoverBBox:function(k,l,m){return g.getBBox(l.parentNode)},Zoom:function(l,r,p,k,o){l.root.toNativeMML(r);if(this.msieIE8HeightBug){r.style.position="absolute"}var m=p.offsetWidth||p.scrollWidth,s=p.offsetHeight||p.scrollHeight;var q=r.offsetWidth,n=r.offsetHeight;if(this.msieIE8HeightBug){r.style.position=""}return{Y:-g.getBBox(r.parentNode).h,mW:m,mH:s,zW:q,zH:n}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});b.Register.StartupHook("mml Jax Ready",function(){e=MathJax.ElementJax.mml;e.mbase.Augment({toNativeMML:function(p){var n=this.NativeMMLelement(this.type);this.NativeMMLattributes(n);for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)},NativeMMLattributes:function(n){var r=this.defaults;var t=(this.attrNames||e.copyAttributeNames),p=e.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){r=e.math.prototype.defaults}for(var s in r){if(!p[s]&&r.hasOwnProperty(s)){if(this[s]!=null){n.setAttribute(s,this.NativeMMLattribute(this[s]))}}}}for(var o=0,l=t.length;o<l;o++){var q=(this.attr||{})[t[o]];if(q==null){q=this[t[o]]}if(q!=null){n.setAttribute(t[o],this.NativeMMLattribute(q))}}this.NativeMMLclass(n)},NativeMMLclass:function(l){var n=[];if(this["class"]){n.push(this["class"])}if(this.isa(e.TeXAtom)){var m=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(m){n.push("MJX-TeXAtom-"+m)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){n.push("MJX"+this.mathvariant)}if(this.arrow){n.push("MJX-arrow")}if(this.variantForm){n.push("MJX-variant")}if(n.length){l.setAttribute("class",n.join(" "))}},NativeMMLattribute:function(l){l=String(l);if(j.NAMEDSPACE[l]){l=j.NAMEDSPACE[l]}else{if(l.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){l=((1/18)*RegExp.$1).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[l]){l=this.NativeMMLvariants[l]}}}return l},NativeMMLvariants:{"-tex-caligraphic":e.VARIANT.SCRIPT,"-tex-caligraphic-bold":e.VARIANT.BOLDSCRIPT,"-tex-oldstyle":e.VARIANT.NORMAL,"-tex-oldstyle-bold":e.VARIANT.BOLD,"-tex-mathit":e.VARIANT.ITALIC},NativeMMLelement:function(l){var m=(h?document.createElement("m:"+l):document.createElementNS(j.MMLnamespace,l));m.isMathJax=true;return m}});e.mrow.Augment({toNativeMML:function(o){if(this.inferred&&this.parent.inferRow){for(var n=0,l=this.data.length;n<l;n++){if(this.data[n]){this.data[n].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,o)}}});e.msubsup.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.sup]==null){p="msub"}if(this.data[this.sub]==null){p="msup"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});e.munderover.Augment({toNativeMML:function(q){var p=this.type;if(this.data[this.under]==null){p="mover"}if(this.data[this.over]==null){p="munder"}var n=this.NativeMMLelement(p);this.NativeMMLattributes(n);delete this.data[0].inferred;for(var o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}}q.appendChild(n)}});if(b.Browser.isFirefox){e.mtable.Augment({toNativeMML:function(l){if(this.width){var m=(this.style||"").replace(/;\s*$/,"").split(";");if(m[0]===""){m.shift()}m.push("width:"+this.width);this.style=m.join(";")}this.SUPER(arguments).toNativeMML.call(this,l)}});if(!b.Browser.versionAtLeast("9.0")){e.mlabeledtr.Augment({toNativeMML:function(p){var n=this.NativeMMLelement("mtr");this.NativeMMLattributes(n);for(var o=1,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(n)}})}var k=MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf";j.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, 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o=0,l=this.data.length;o<l;o++){if(this.data[o]){this.data[o].toNativeMML(n)}else{n.appendChild(this.NativeMMLelement("mrow"))}}p.appendChild(q);if(j.widthBug){p.style.width=q.firstChild.scrollWidth+"px"}}});e.TeXAtom.Augment({toNativeMML:function(m){var l=this.NativeMMLelement("mrow");this.NativeMMLattributes(l);this.data[0].toNativeMML(l);m.appendChild(l)}});e.chars.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.entity.Augment({toNativeMML:function(l){l.appendChild(document.createTextNode(this.toString()))}});e.xml.Augment({toNativeMML:function(o){for(var n=0,l=this.data.length;n<l;n++){o.appendChild(this.data[n].cloneNode(true))}}});b.Register.StartupHook("TeX mathchoice Ready",function(){e.TeXmathchoice.Augment({toNativeMML:function(l){this.Core().toNativeMML(l)}})});setTimeout(MathJax.Callback(["loadComplete",j,"jax.js"]),0)});b.Browser.Select({MSIE:function(k){var l=(document.documentMode||0);j.msieIE8HeightBug=(l===8)},Opera:function(k){j.operaPositionBug=true},Firefox:function(k){j.forceReflow=true;j.widthBug=true}});b.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){f.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML); diff --git a/jax/output/SVG/autoload/maction.js b/jax/output/SVG/autoload/maction.js @@ -12,5 +12,5 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.0";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j){i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));this.SVGhandleHitBox(i)}this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.addElement(h.element,"rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,j,this.Get("selection"))}},SVGstretchH:c.mbase.SVGstretchH,SVGstretchV:c.mbase.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return 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k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth*1000;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.0";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j){i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));this.SVGhandleHitBox(i)}this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.addElement(h.element,"rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,j,this.Get("selection"))}},SVGstretchH:c.mbase.prototype.SVGstretchH,SVGstretchV:c.mbase.prototype.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return 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k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth*1000;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")}); diff --git a/jax/output/SVG/autoload/mtable.js b/jax/output/SVG/autoload/mtable.js @@ -12,5 +12,5 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.0";var 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i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var k=n.childX,q=n.childY;n.x+=k;n.y+=q;n.h-=q;n.d+=q;n.H-=q;n.D+=q;n.w-=k;n.r-=k;n.l+=k;n.removeable=false}}if(Math.abs(n.x)<1&&Math.abs(n.y)<1){n.remove=n.removeable}else{if(n.element.nodeName==="g"){if(!n.element.firstChild){n.remove=n.removeable}else{n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}}else{if(n.element.nodeName==="line"||n.element.nodeName==="polygon"||n.element.nodeName==="path"||n.element.nodeName==="a"){n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}else{n.element.setAttribute("x",Math.floor(n.x/n.scale));n.element.setAttribute("y",Math.floor(n.y/n.scale))}}}if(n.remove){this.n+=n.n;while(n.element.firstChild){if(o&&this.element.firstChild){this.element.insertBefore(n.element.firstChild,this.element.firstChild)}else{this.element.appendChild(n.element.firstChild)}}}else{if(o){this.element.insertBefore(n.element,this.element.firstChild)}else{this.element.appendChild(n.element)}}delete 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o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return 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n=l.element.firstChild;while(n.firstChild){k.appendChild(n.firstChild)}n.appendChild(k)}else{if(l.removeable&&l.element.nodeName==="g"){while(l.element.firstChild){k.appendChild(l.element.firstChild)}}else{k.appendChild(l.element)}l.element=k}l.removeable=false}if(a.config.addMMLclasses){l.removeable=false;l.element.setAttribute("className","mjx-svg-"+this.type)}var m=this.Get("style");if(m){l.element.style.cssText=m;if(l.element.style.fontSize){l.element.style.fontSize=""}l.element.style.border=l.element.style.padding="";if(l.removeable){l.removeable=l.element.style.cssText===""}}},SVGgetStyles:function(){var l=this.Get("style");if(l){var k=e.Element("span");k.style.cssText=l;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var 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q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]])}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){return l}else{this.findBlock(l,s)}}return{id:"unknown"}},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){c.RestartAfter(h.Require(this.fontDir+"/"+k))},createDelimiter:function(k,n,q,o){if(!q){q=1}var s=i.G();if(!k){s.Clean();delete s.element;s.w=s.r=this.TeX.nulldelimiterspace*q;return s}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var 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u=a.Element("g",{transform:"translate("+(z-l/2-E*y.l+y.x)+","+y.y+") scale("+E+",1)"});u.appendChild(y.element.cloneNode(false));t.element.appendChild(u);z+=v;if(m.mid&&r){t.Add(A,z,0);z+=A.w}}}else{if(m.mid){var 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i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var 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k=e.Element("span");k.style.cssText=l;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var 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m=B.Add(this.SVGdataStretched(this.base,G,z));var l=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var I=a.TeX.x_height*K,y=a.TeX.scriptspace*K;var k,n;if(this.SVGnotEmpty(this.data[this.sup])){k=this.data[this.sup].toSVG();k.w+=y;k.r=Math.max(k.w,k.r)}if(this.SVGnotEmpty(this.data[this.sub])){n=this.data[this.sub].toSVG();n.w+=y;n.r=Math.max(n.w,n.r)}var C=a.TeX.sup_drop*l,A=a.TeX.sub_drop*l;var w=m.h-C,o=m.d+A,J=0,F;if(m.ic){m.w-=m.ic;J=1.3*m.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.scale===1&&!m.stretched&&!this.data[this.base].Get("largeop")){w=o=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:a.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:a.length2em(H.superscriptshift,E));if(!k){if(n){o=Math.max(o,a.TeX.sub1*K,n.h-(4/5)*I,H.subscriptshift);B.Add(n,m.w,-o)}}else{if(!n){values=this.getValues("displaystyle","texprimestyle");F=a.TeX[(values.displaystyle?"sup1":(values.texprimestyle?"sup3":"sup2"))];w=Math.max(w,F*K,k.d+(1/4)*I,H.superscriptshift);B.Add(k,m.w+J,w)}else{o=Math.max(o,a.TeX.sub2*K);var x=a.TeX.rule_thickness*K;if((w-k.d)-(n.h-o)<3*x){o=3*x-w+k.d+n.h;C=(4/5)*I-(w-k.d);if(C>0){w+=C;o-=C}}B.Add(k,m.w+J,Math.max(w,H.superscriptshift));B.Add(n,m.w,-Math.max(o,H.subscriptshift))}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B}});g.mmultiscripts.Augment({toSVG:g.mbase.SVGautoload});g.mtable.Augment({toSVG:g.mbase.SVGautoload});g["annotation-xml"].Augment({toSVG:g.mbase.SVGautoload});g.math.Augment({SVG:i.Subclass({type:"svg",removeable:false}),toSVG:function(t,m){if(this.data[0]){this.SVGgetStyles();g.mbase.prototype.displayAlign=c.config.displayAlign;g.mbase.prototype.displayIndent=c.config.displayIndent;var q=i.G({stroke:"black",fill:"black","stroke-thickness":0,transform:"matrix(1 0 0 -1 0 0)"}).With({removeable:false});q.Add(this.data[0].toSVG(),0,0,true);q.Clean();this.SVGhandleColor(q);var s=this.SVG();s.element.setAttribute("xmlns:xlink",j);s.Add(q);s.Clean();this.SVGsaveData(s);var p=Math.max(-s.l,0),k=Math.max(s.r-s.w,0);var n=s.element.style;n.width=a.Ex(p+s.w+k);n.height=a.Ex(s.H+s.D);n.verticalAlign=a.Ex(-s.D-2*a.em);n.marginLeft=a.Ex(-p);n.marginRight=a.Ex(-k);s.element.setAttribute("viewBox",(-p)+" "+(-s.H)+" "+(p+s.w+k)+" "+(s.H+s.D));s.element.style.margin="1px 0px";if(s.H>s.h||s.D>s.d){var o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===g.INDENTALIGN.AUTO){u.indentalign=this.displayAlign}m.style.textAlign=u.indentalign;if(u.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift=this.displayIndent}if(u.indentshift&&u.indentalign!==g.INDENTALIGN.CENTER){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return k}});c.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(k,l){var m=(typeof(k)==="string"?document.createElement("svg:"+k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG); diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js @@ -148,7 +148,7 @@ MathJax.fileversion = "2.0"; catch (err) {delete this.SUPER; throw err} delete this.SUPER; return result; - }.toString().replace(/^\s*function \(\)\s*\{\s*/i,"").replace(/\s*\}\s*$/i,""), + }.toString().replace(/^\s*function\s*\(\)\s*\{\s*/i,"").replace(/\s*\}\s*$/i,""), toString: function () { return this.original.toString.apply(this.original,arguments); @@ -1629,10 +1629,7 @@ MathJax.Hub = { // result = MathJax.OutputJax[jax.outputJax].Process(script,state); script.MathJax.state = STATE.PROCESSED; state.i++; - if (script.MathJax.preview) { - script.MathJax.preview.style.display = "none"; - script.MathJax.preview.style.visibility = "hidden"; // hide from screen readers - } + if (script.MathJax.preview) {script.MathJax.preview.innerHTML = ""} // // Signal that new math is available // @@ -1684,10 +1681,7 @@ MathJax.Hub = { }); } script.parentNode.insertBefore(error,script); - if (script.MathJax.preview) { - script.MathJax.preview.style.display = "none"; - script.MathJax.preview.style.visibility = "hidden"; // hide from screen readers - } + if (script.MathJax.preview) {script.MathJax.preview.innerHTML = ""} this.lastError = err; }, @@ -2382,7 +2376,7 @@ MathJax.Hub.Startup = { MathJax.HTML.setScriptBug = !browser.isIE9 || document.documentMode < 9; var MathPlayer = false; try {new ActiveXObject("MathPlayer.Factory.1"); MathPlayer = true} catch(err) {} - if (MathPlayer) { + if (MathPlayer && !STARTUP.params.NoMathPlayer) { var mathplayer = document.createElement("object"); mathplayer.id = "mathplayer"; mathplayer.classid = "clsid:32F66A20-7614-11D4-BD11-00104BD3F987"; document.getElementsByTagName("head")[0].appendChild(mathplayer); diff --git a/unpacked/config/default.js b/unpacked/config/default.js @@ -560,9 +560,9 @@ MathJax.Hub.Config({ //============================================================================ // - // These parameters control the AsciiMath inupt jax. + // These parameters control the AsciiMath input jax. // - AasciiMath: { + AsciiMath: { // // Determines whether limits are placed above and below operators, // or next to them. (AsciiMath doesn't have separate in-line and @@ -573,7 +573,7 @@ MathJax.Hub.Config({ // // The character to use for decimal places when scanning for a number. - // If you change it to ,, beware of things like "(1,2)" which would need + // If you change it to ",", beware of things like "(1,2)" which would need // to be changed to "(1, 2)" to be parsed correctly. // decimal: "." @@ -581,7 +581,7 @@ MathJax.Hub.Config({ //============================================================================ // - // These parameters control the MathML inupt jax. + // These parameters control the MathML input jax. // MathML: { // diff --git a/unpacked/extensions/TeX/cancel.js b/unpacked/extensions/TeX/cancel.js @@ -8,7 +8,7 @@ * * \cancel{math} % strikeout math from lower left to upper right * \bcancel{math} % strikeout from upper left to lower right - * \xcancel{math} % strikout with an X + * \xcancel{math} % strikeout with an X * \cancelto{value}{math} % strikeout with arrow going to value * * --------------------------------------------------------------------- diff --git a/unpacked/extensions/TeX/enclose.js b/unpacked/extensions/TeX/enclose.js @@ -68,6 +68,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { for (var i = 0, m = attr.length; i < m; i++) { var keyvalue = attr[i].split(/[:=]/); if (ALLOW[keyvalue[0]]) { + keyvalue[1] = keyvalue[1].replace(/^"(.*)"$/,"$1"); if (keyvalue[1] === "true") {keyvalue[1] = true} if (keyvalue[1] === "false") {keyvalue[1] = false} def[keyvalue[0]] = keyvalue[1]; diff --git a/unpacked/extensions/TeX/extpfeil.js b/unpacked/extensions/TeX/extpfeil.js @@ -67,7 +67,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { // TEX.Parse.Augment({ NewExtArrow: function (name) { - var cs = this.GetArgument(name), + var cs = this.GetArgument(name), space = this.GetArgument(name), chr = this.GetArgument(name); if (!cs.match(/^\\([a-z]+|.)$/i)) diff --git a/unpacked/extensions/TeX/noErrors.js b/unpacked/extensions/TeX/noErrors.js @@ -15,10 +15,11 @@ * inlineDelimiters: ["",""], // or ["$","$"] or ["\\(","\\)"] * multiLine: true, // false for TeX on all one line * style: { - * "font-family": "serif", - * "font-size": "80%", + * "font-size": "90%", + * "text-align": "left", * "color": "black", - * "border": "1px solid" + * "padding": "1px 3px", + * "border": "1px solid" * // add any additional CSS styles that you want * // (be sure there is no extra comma at the end of the last item) * } diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,23 +21,23 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { - 0x2190: [438,-63,500,64,422], // LEFTWARDS ARROW - 0x2192: [438,-63,500,57,417], // RIGHTWARDS ARROW + 0x2190: [437,-64,500,64,422], // LEFTWARDS ARROW + 0x2192: [437,-64,500,58,417], // RIGHTWARDS ARROW 0x219A: [437,-60,1000,56,942], // LEFTWARDS ARROW WITH STROKE 0x219B: [437,-60,1000,54,942], // RIGHTWARDS ARROW WITH STROKE 0x219E: [417,-83,1000,56,944], // LEFTWARDS TWO HEADED ARROW 0x21A0: [417,-83,1000,55,943], // RIGHTWARDS TWO HEADED ARROW 0x21A2: [417,-83,1111,56,1031], // LEFTWARDS ARROW WITH TAIL 0x21A3: [417,-83,1111,79,1054], // RIGHTWARDS ARROW WITH TAIL - 0x21AB: [575,42,1000,56,964], // LEFTWARDS ARROW WITH LOOP - 0x21AC: [575,42,1000,35,943], // RIGHTWARDS ARROW WITH LOOP + 0x21AB: [575,41,1000,56,964], // LEFTWARDS ARROW WITH LOOP + 0x21AC: [575,41,1000,35,943], // RIGHTWARDS ARROW WITH LOOP 0x21AD: [417,-83,1389,57,1331], // LEFT RIGHT WAVE ARROW 0x21AE: [437,-60,1000,56,942], // LEFT RIGHT ARROW WITH STROKE 0x21B0: [722,0,500,56,444], // UPWARDS ARROW WITH TIP LEFTWARDS 0x21B1: [722,0,500,55,443], // UPWARDS ARROW WITH TIP RIGHTWARDS - 0x21B6: [462,1,1000,17,950], // ANTICLOCKWISE TOP SEMICIRCLE ARROW + 0x21B6: [461,1,1000,17,950], // ANTICLOCKWISE TOP SEMICIRCLE ARROW 0x21B7: [460,1,1000,46,982], // CLOCKWISE TOP SEMICIRCLE ARROW - 0x21BA: [650,83,778,55,722], // ANTICLOCKWISE OPEN CIRCLE ARROW + 0x21BA: [650,83,778,56,722], // ANTICLOCKWISE OPEN CIRCLE ARROW 0x21BB: [650,83,778,56,721], // CLOCKWISE OPEN CIRCLE ARROW 0x21BE: [694,194,417,188,375], // UPWARDS HARPOON WITH BARB RIGHTWARDS 0x21BF: [694,194,417,41,228], // UPWARDS HARPOON WITH BARB LEFTWARDS @@ -46,19 +46,19 @@ MathJax.Hub.Insert( 0x21C4: [667,0,1000,55,944], // RIGHTWARDS ARROW OVER LEFTWARDS ARROW 0x21C6: [667,0,1000,55,944], // LEFTWARDS ARROW OVER RIGHTWARDS ARROW 0x21C7: [583,83,1000,55,944], // LEFTWARDS PAIRED ARROWS - 0x21C8: [694,194,833,83,749], // UPWARDS PAIRED ARROWS + 0x21C8: [694,193,833,83,749], // UPWARDS PAIRED ARROWS 0x21C9: [583,83,1000,55,944], // RIGHTWARDS PAIRED ARROWS 0x21CA: [694,194,833,83,749], // DOWNWARDS PAIRED ARROWS 0x21CB: [514,14,1000,55,944], // LEFTWARDS HARPOON OVER RIGHTWARDS HARPOON 0x21CC: [514,14,1000,55,944], // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON 0x21CD: [534,35,1000,54,942], // LEFTWARDS DOUBLE ARROW WITH STROKE 0x21CE: [534,37,1000,32,965], // LEFT RIGHT DOUBLE ARROW WITH STROKE - 0x21CF: [534,35,1000,54,943], // RIGHTWARDS DOUBLE ARROW WITH STROKE + 0x21CF: [534,35,1000,55,943], // RIGHTWARDS DOUBLE ARROW WITH STROKE 0x21DA: [611,111,1000,76,944], // LEFTWARDS TRIPLE ARROW 0x21DB: [611,111,1000,55,923], // RIGHTWARDS TRIPLE ARROW 0x21DD: [417,-83,1000,56,943], // RIGHTWARDS SQUIGGLE ARROW - 0x21E0: [438,-63,1334,64,1252], // LEFTWARDS DASHED ARROW - 0x21E2: [438,-63,1334,83,1251] // RIGHTWARDS DASHED ARROW + 0x21E0: [437,-64,1334,64,1251], // LEFTWARDS DASHED ARROW + 0x21E2: [437,-64,1334,84,1251] // RIGHTWARDS DASHED ARROW } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,20 +22,20 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { 0x20: [0,0,250,0,0], // SPACE - 0x41: [701,2,722,16,703], // LATIN CAPITAL LETTER A + 0x41: [701,1,722,17,703], // LATIN CAPITAL LETTER A 0x42: [683,1,667,11,620], // LATIN CAPITAL LETTER B 0x43: [702,19,722,39,684], // LATIN CAPITAL LETTER C 0x44: [683,1,722,16,688], // LATIN CAPITAL LETTER D 0x45: [683,1,667,12,640], // LATIN CAPITAL LETTER E - 0x46: [683,1,611,12,585], // LATIN CAPITAL LETTER F + 0x46: [683,1,611,12,584], // LATIN CAPITAL LETTER F 0x47: [702,19,778,39,749], // LATIN CAPITAL LETTER G 0x48: [683,1,778,14,762], // LATIN CAPITAL LETTER H 0x49: [683,1,389,20,369], // LATIN CAPITAL LETTER I 0x4A: [683,77,500,6,478], // LATIN CAPITAL LETTER J - 0x4B: [684,1,778,22,768], // LATIN CAPITAL LETTER K + 0x4B: [683,1,778,22,768], // LATIN CAPITAL LETTER K 0x4C: [683,1,667,12,640], // LATIN CAPITAL LETTER L - 0x4D: [684,1,944,17,926], // LATIN CAPITAL LETTER M - 0x4E: [684,20,722,20,702], // LATIN CAPITAL LETTER N + 0x4D: [683,1,944,17,926], // LATIN CAPITAL LETTER M + 0x4E: [683,20,722,20,702], // LATIN CAPITAL LETTER N 0x4F: [701,19,778,34,742], // LATIN CAPITAL LETTER O 0x50: [683,1,611,16,597], // LATIN CAPITAL LETTER P 0x51: [701,181,778,34,742], // LATIN CAPITAL LETTER Q @@ -43,12 +43,12 @@ MathJax.Hub.Insert( 0x53: [702,12,556,28,528], // LATIN CAPITAL LETTER S 0x54: [683,1,667,33,635], // LATIN CAPITAL LETTER T 0x55: [683,19,722,16,709], // LATIN CAPITAL LETTER U - 0x56: [684,20,722,0,719], // LATIN CAPITAL LETTER V - 0x57: [684,19,1000,5,994], // LATIN CAPITAL LETTER W - 0x58: [684,1,722,16,705], // LATIN CAPITAL LETTER X + 0x56: [683,20,722,0,719], // LATIN CAPITAL LETTER V + 0x57: [683,19,1000,5,994], // LATIN CAPITAL LETTER W + 0x58: [683,1,722,16,705], // LATIN CAPITAL LETTER X 0x59: [683,1,722,16,704], // LATIN CAPITAL LETTER Y 0x5A: [683,1,667,29,635], // LATIN CAPITAL LETTER Z - 0x6B: [684,2,556,17,535] // LATIN SMALL LETTER K + 0x6B: [683,1,556,17,534] // LATIN SMALL LETTER K } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,10 +21,10 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { - 0x250C: [694,-306,500,54,444], // BOX DRAWINGS LIGHT DOWN AND RIGHT - 0x2510: [695,-306,500,55,444], // BOX DRAWINGS LIGHT DOWN AND LEFT - 0x2514: [367,23,500,54,444], // BOX DRAWINGS LIGHT UP AND RIGHT - 0x2518: [366,22,500,55,445], // BOX DRAWINGS LIGHT UP AND LEFT + 0x250C: [694,-306,500,55,444], // BOX DRAWINGS LIGHT DOWN AND RIGHT + 0x2510: [694,-306,500,55,444], // BOX DRAWINGS LIGHT DOWN AND LEFT + 0x2514: [366,22,500,55,444], // BOX DRAWINGS LIGHT UP AND RIGHT + 0x2518: [366,22,500,55,444], // BOX DRAWINGS LIGHT UP AND LEFT 0x2571: [694,195,889,0,860], // BOX DRAWINGS LIGHT DIAGONAL UPPER RIGHT TO LOWER LEFT 0x2572: [694,195,889,0,860] // BOX DRAWINGS LIGHT DIAGONAL UPPER LEFT TO LOWER RIGHT } diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { - 0x2713: [707,35,833,84,749], // CHECK MARK + 0x2713: [706,34,833,84,749], // CHECK MARK 0x2720: [716,22,833,48,786] // MALTESE CROSS } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,10 +26,10 @@ MathJax.Hub.Insert( 0x25B2: [575,20,722,84,637], // BLACK UP-POINTING TRIANGLE 0x25B3: [575,20,722,84,637], // WHITE UP-POINTING TRIANGLE 0x25B6: [539,41,778,83,694], // BLACK RIGHT-POINTING TRIANGLE - 0x25BC: [576,20,722,84,638], // BLACK DOWN-POINTING TRIANGLE - 0x25BD: [576,20,722,84,638], // WHITE DOWN-POINTING TRIANGLE + 0x25BC: [576,19,722,84,637], // BLACK DOWN-POINTING TRIANGLE + 0x25BD: [576,19,722,84,637], // WHITE DOWN-POINTING TRIANGLE 0x25C0: [539,41,778,83,694], // BLACK LEFT-POINTING TRIANGLE - 0x25CA: [716,132,667,56,612] // LOZENGE + 0x25CA: [716,132,667,56,611] // LOZENGE } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,9 +22,9 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { 0xA0: [0,0,250,0,0], // NO-BREAK SPACE - 0xA5: [684,0,750,11,738], // YEN SIGN + 0xA5: [683,0,750,11,738], // YEN SIGN 0xAE: [709,175,947,32,915], // REGISTERED SIGN - 0xF0: [749,21,556,42,510] // LATIN SMALL LETTER ETH + 0xF0: [749,21,556,42,509] // LATIN SMALL LETTER ETH } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,12 +22,12 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { 0x210F: [695,13,540,42,562], // stix-/hbar - Planck's over 2pi - 0x2127: [685,22,722,44,675], // INVERTED OHM SIGN + 0x2127: [684,22,722,44,675], // INVERTED OHM SIGN 0x2132: [695,1,556,55,497], // TURNED CAPITAL F 0x2136: [763,21,667,-22,687], // BET SYMBOL - 0x2137: [764,43,444,-22,422], // GIMEL SYMBOL + 0x2137: [764,43,444,-22,421], // GIMEL SYMBOL 0x2138: [764,43,667,54,640], // DALET SYMBOL - 0x2141: [706,23,639,37,577] // TURNED SANS-SERIF CAPITAL G + 0x2141: [705,23,639,37,577] // TURNED SANS-SERIF CAPITAL G } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'] = { directory: 'AMS/Regular', family: 'MathJax_AMS', - testString: "MATHJAX AMS", + testString: "MATHJAX AMS \u02C6", Ranges: [ [0x0,0x7F,"BBBold"], [0x80,0xFF,"Latin1Supplement"], diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,15 +22,15 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { 0x2201: [846,21,500,56,444], // COMPLEMENT - 0x2204: [860,166,556,55,498], // THERE DOES NOT EXIST + 0x2204: [860,166,556,55,497], // THERE DOES NOT EXIST 0x2205: [587,3,778,54,720], // EMPTY SET - 0x220D: [440,1,429,102,457], // SMALL CONTAINS AS MEMBER - 0x2212: [270,-230,500,83,417], // MINUS SIGN - 0x2214: [766,94,778,56,722], // DOT PLUS + 0x220D: [440,1,429,102,456], // SMALL CONTAINS AS MEMBER + 0x2212: [270,-230,500,84,417], // MINUS SIGN + 0x2214: [766,93,778,57,722], // DOT PLUS 0x2216: [430,23,778,91,685], // SET MINUS 0x221D: [472,-28,778,56,722], // PROPORTIONAL TO 0x2220: [694,0,722,55,666], // ANGLE - 0x2221: [714,20,722,55,667], // MEASURED ANGLE + 0x2221: [714,20,722,55,666], // MEASURED ANGLE 0x2222: [551,51,722,55,666], // SPHERICAL ANGLE 0x2223: [430,23,222,91,131], // DIVIDES 0x2224: [750,252,278,-21,297], // DOES NOT DIVIDE @@ -40,33 +40,33 @@ MathJax.Hub.Insert( 0x2235: [471,82,667,23,643], // BECAUSE 0x223C: [365,-132,778,55,719], // TILDE OPERATOR 0x223D: [367,-133,778,56,722], // REVERSED TILDE - 0x2241: [468,-32,778,55,719], // stix-not, vert, similar + 0x2241: [467,-32,778,55,719], // stix-not, vert, similar 0x2242: [463,-34,778,55,720], // MINUS TILDE 0x2246: [652,155,778,54,720], // APPROXIMATELY BUT NOT ACTUALLY EQUAL TO - 0x2248: [482,-50,778,54,719], // ALMOST EQUAL TO + 0x2248: [481,-50,778,55,719], // ALMOST EQUAL TO 0x224A: [579,39,778,51,725], // ALMOST EQUAL OR EQUAL TO - 0x224E: [492,-8,778,55,722], // GEOMETRICALLY EQUIVALENT TO - 0x224F: [492,-133,778,55,722], // DIFFERENCE BETWEEN - 0x2251: [609,108,778,55,722], // GEOMETRICALLY EQUAL TO + 0x224E: [492,-8,778,56,722], // GEOMETRICALLY EQUIVALENT TO + 0x224F: [492,-133,778,56,722], // DIFFERENCE BETWEEN + 0x2251: [609,108,778,56,722], // GEOMETRICALLY EQUAL TO 0x2252: [601,101,778,15,762], // APPROXIMATELY EQUAL TO OR THE IMAGE OF 0x2253: [601,102,778,14,762], // IMAGE OF OR APPROXIMATELY EQUAL TO - 0x2256: [367,-133,778,55,722], // RING IN EQUAL TO - 0x2257: [721,-133,778,55,722], // RING EQUAL TO - 0x225C: [859,-133,778,55,723], // DELTA EQUAL TO + 0x2256: [367,-133,778,56,722], // RING IN EQUAL TO + 0x2257: [721,-133,778,56,722], // RING EQUAL TO + 0x225C: [859,-133,778,56,723], // DELTA EQUAL TO 0x2266: [753,175,778,83,694], // LESS-THAN OVER EQUAL TO - 0x2267: [753,175,778,82,694], // GREATER-THAN OVER EQUAL TO + 0x2267: [753,175,778,83,694], // GREATER-THAN OVER EQUAL TO 0x2268: [752,286,778,82,693], // stix-less, vert, not double equals 0x2269: [752,286,778,82,693], // stix-gt, vert, not double equals 0x226C: [750,250,500,74,425], // BETWEEN 0x226E: [708,209,778,82,693], // stix-not, vert, less-than - 0x226F: [708,209,778,82,694], // stix-not, vert, greater-than + 0x226F: [708,209,778,82,693], // stix-not, vert, greater-than 0x2270: [801,303,778,82,694], // stix-not, vert, less-than-or-equal - 0x2271: [801,303,778,82,695], // stix-not, vert, greater-than-or-equal + 0x2271: [801,303,778,82,694], // stix-not, vert, greater-than-or-equal 0x2272: [732,228,778,56,722], // stix-less-than or (contour) similar - 0x2273: [732,229,778,56,722], // stix-greater-than or (contour) similar - 0x2276: [681,253,778,43,735], // LESS-THAN OR GREATER-THAN + 0x2273: [732,228,778,56,722], // stix-greater-than or (contour) similar + 0x2276: [681,253,778,44,734], // LESS-THAN OR GREATER-THAN 0x2277: [681,253,778,83,694], // GREATER-THAN OR LESS-THAN - 0x227C: [580,154,778,83,695], // PRECEDES OR EQUAL TO + 0x227C: [580,153,778,83,694], // PRECEDES OR EQUAL TO 0x227D: [580,154,778,82,694], // SUCCEEDS OR EQUAL TO 0x227E: [732,228,778,56,722], // PRECEDES OR EQUIVALENT TO 0x227F: [732,228,778,56,722], // SUCCEEDS OR EQUIVALENT TO @@ -77,10 +77,10 @@ MathJax.Hub.Insert( 0x228A: [635,241,778,84,693], // stix-subset, not equals, variant 0x228B: [635,241,778,82,691], // stix-superset, not equals, variant 0x228F: [539,41,778,83,694], // SQUARE IMAGE OF - 0x2290: [539,41,778,63,714], // SQUARE ORIGINAL OF - 0x229A: [583,82,778,57,721], // CIRCLED RING OPERATOR - 0x229B: [583,82,778,57,721], // CIRCLED ASTERISK OPERATOR - 0x229D: [583,82,778,57,721], // CIRCLED DASH + 0x2290: [539,41,778,64,714], // SQUARE ORIGINAL OF + 0x229A: [582,82,778,57,721], // CIRCLED RING OPERATOR + 0x229B: [582,82,778,57,721], // CIRCLED ASTERISK OPERATOR + 0x229D: [582,82,778,57,721], // CIRCLED DASH 0x229E: [689,0,778,55,722], // SQUARED PLUS 0x229F: [689,0,778,55,722], // SQUARED MINUS 0x22A0: [689,0,778,55,722], // SQUARED TIMES @@ -88,7 +88,7 @@ MathJax.Hub.Insert( 0x22A8: [694,0,611,55,555], // TRUE 0x22A9: [694,0,722,55,666], // FORCES 0x22AA: [694,0,889,55,833], // TRIPLE VERTICAL BAR RIGHT TURNSTILE - 0x22AC: [695,1,611,-55,555], // DOES NOT PROVE + 0x22AC: [695,1,611,-55,554], // DOES NOT PROVE 0x22AD: [695,1,611,-55,554], // NOT TRUE 0x22AE: [695,1,722,-55,665], // DOES NOT FORCE 0x22AF: [695,1,722,-55,665], // NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE @@ -97,41 +97,41 @@ MathJax.Hub.Insert( 0x22B4: [636,138,778,83,694], // NORMAL SUBGROUP OF OR EQUAL TO 0x22B5: [636,138,778,83,694], // CONTAINS AS NORMAL SUBGROUP OR EQUAL TO 0x22B8: [408,-92,1111,55,1055], // MULTIMAP - 0x22BA: [431,213,556,56,500], // INTERCALATE - 0x22BB: [716,0,611,54,555], // XOR - 0x22BC: [716,1,611,55,555], // NAND + 0x22BA: [431,212,556,57,500], // INTERCALATE + 0x22BB: [716,0,611,55,555], // XOR + 0x22BC: [716,0,611,55,555], // NAND 0x22C5: [189,0,278,55,222], // DOT OPERATOR 0x22C7: [545,44,778,55,720], // DIVISION TIMES 0x22C9: [492,-8,778,146,628], // LEFT NORMAL FACTOR SEMIDIRECT PRODUCT 0x22CA: [492,-8,778,146,628], // RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT - 0x22CB: [695,22,778,55,722], // LEFT SEMIDIRECT PRODUCT - 0x22CC: [694,23,778,54,722], // RIGHT SEMIDIRECT PRODUCT + 0x22CB: [694,22,778,55,722], // LEFT SEMIDIRECT PRODUCT + 0x22CC: [694,22,778,55,722], // RIGHT SEMIDIRECT PRODUCT 0x22CD: [464,-36,778,56,722], // REVERSED TILDE EQUALS - 0x22CE: [579,21,760,83,676], // CURLY LOGICAL OR + 0x22CE: [578,21,760,83,676], // CURLY LOGICAL OR 0x22CF: [578,22,760,83,676], // CURLY LOGICAL AND - 0x22D0: [540,41,778,84,695], // DOUBLE SUBSET - 0x22D1: [541,40,778,82,693], // DOUBLE SUPERSET + 0x22D0: [540,40,778,84,694], // DOUBLE SUBSET + 0x22D1: [540,40,778,83,693], // DOUBLE SUPERSET 0x22D2: [598,22,667,55,611], // DOUBLE INTERSECTION - 0x22D3: [599,22,667,55,611], // DOUBLE UNION + 0x22D3: [598,22,667,55,611], // DOUBLE UNION 0x22D4: [736,22,667,56,611], // PITCHFORK 0x22D6: [541,41,778,82,693], // LESS-THAN WITH DOT - 0x22D7: [541,41,778,81,693], // GREATER-THAN WITH DOT - 0x22D8: [568,68,1333,56,1277], // VERY MUCH LESS-THAN - 0x22D9: [568,67,1333,55,1278], // VERY MUCH GREATER-THAN - 0x22DA: [886,386,778,83,675], // stix-less, equal, slanted, greater - 0x22DB: [886,386,778,82,674], // stix-greater, equal, slanted, less - 0x22DE: [734,0,778,83,695], // EQUAL TO OR PRECEDES - 0x22DF: [735,0,778,82,695], // EQUAL TO OR SUCCEEDS + 0x22D7: [541,41,778,82,693], // GREATER-THAN WITH DOT + 0x22D8: [568,67,1333,56,1277], // VERY MUCH LESS-THAN + 0x22D9: [568,67,1333,55,1277], // VERY MUCH GREATER-THAN + 0x22DA: [886,386,778,83,674], // stix-less, equal, slanted, greater + 0x22DB: [886,386,778,83,674], // stix-greater, equal, slanted, less + 0x22DE: [734,0,778,83,694], // EQUAL TO OR PRECEDES + 0x22DF: [734,0,778,82,694], // EQUAL TO OR SUCCEEDS 0x22E0: [801,303,778,82,693], // stix-not (vert) precedes or contour equals - 0x22E1: [801,303,778,81,694], // stix-not (vert) succeeds or contour equals + 0x22E1: [801,303,778,82,694], // stix-not (vert) succeeds or contour equals 0x22E6: [730,359,778,55,719], // LESS-THAN BUT NOT EQUIVALENT TO 0x22E7: [730,359,778,55,719], // GREATER-THAN BUT NOT EQUIVALENT TO - 0x22E8: [730,360,778,55,719], // PRECEDES BUT NOT EQUIVALENT TO + 0x22E8: [730,359,778,55,719], // PRECEDES BUT NOT EQUIVALENT TO 0x22E9: [730,359,778,55,719], // SUCCEEDS BUT NOT EQUIVALENT TO 0x22EA: [706,208,778,82,693], // NOT NORMAL SUBGROUP OF 0x22EB: [706,208,778,82,693], // DOES NOT CONTAIN AS NORMAL SUBGROUP - 0x22EC: [802,303,778,81,693], // stix-not, vert, left triangle, equals - 0x22ED: [801,303,778,82,694] // stix-not, vert, right triangle, equals + 0x22EC: [802,303,778,82,693], // stix-not, vert, left triangle, equals + 0x22ED: [801,303,778,82,693] // stix-not, vert, right triangle, equals } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { - 0x29EB: [716,132,667,56,612] // BLACK LOZENGE + 0x29EB: [716,132,667,56,611] // BLACK LOZENGE } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { - 0x2605: [695,111,944,49,896] // BLACK STAR + 0x2605: [694,111,944,49,895] // BLACK STAR } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,22 +21,22 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_AMS'], { - 0xE006: [430,23,222,-20,240], // MJ-TeX: small does not divide - 0xE007: [431,24,389,-20,407], // MJ-TeX: small not parallel - 0xE008: [605,85,778,55,719], // MJ-TeX: greek small letter digamma (for IE) - 0xE009: [434,6,667,37,734], // MJ-TeX: greek kappa symbol (for IE) - 0xE00C: [752,284,778,81,693], // MJ-TeX: less over not-equal - 0xE00D: [752,284,778,81,693], // MJ-TeX: greater over not-equal - 0xE00E: [919,421,778,82,694], // MJ-TeX: not greater, double equals - 0xE00F: [801,303,778,81,695], // MJ-TeX: not greater-or-equal slanted - 0xE010: [801,303,778,82,694], // MJ-TeX: not less-or-equal, slanted - 0xE011: [919,421,778,82,694], // MJ-TeX: not less, double equals - 0xE016: [828,330,778,82,694], // MJ-TeX: not subset, double equals - 0xE017: [752,332,778,82,694], // MJ-TeX: not subset, double equals, short slash - 0xE018: [829,330,778,82,695], // MJ-TeX: not superset, double equals - 0xE019: [752,333,778,81,693], // MJ-TeX: not superset, double equals, short slash - 0xE01A: [635,256,778,84,693], // MJ-TeX: not subset or equal, short slash - 0xE01B: [634,254,778,82,691] // MJ-TeX: not superset or equal, short slash + 0xE006: [430,23,222,-20,240], // ?? + 0xE007: [431,24,389,-20,407], // ?? + 0xE008: [605,85,778,55,719], // ?? + 0xE009: [434,6,667,37,734], // ?? + 0xE00C: [752,284,778,82,693], // ?? + 0xE00D: [752,284,778,82,693], // ?? + 0xE00E: [919,421,778,82,694], // stix-not greater, double equals + 0xE00F: [801,303,778,82,694], // stix-not greater-or-equal, slanted + 0xE010: [801,303,778,82,694], // stix-not less-or-equal, slanted + 0xE011: [919,421,778,82,694], // stix-not less, double equals + 0xE016: [828,330,778,82,694], // stix-not subset, double equals + 0xE017: [752,332,778,82,694], // ?? + 0xE018: [828,330,778,82,694], // stix-not superset, double equals + 0xE019: [752,333,778,82,693], // ?? + 0xE01A: [634,255,778,84,693], // ?? + 0xE01B: [634,254,778,82,691] // ?? } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -23,25 +23,25 @@ MathJax.Hub.Insert( { 0x2A5E: [813,97,611,55,555], // LOGICAL AND WITH DOUBLE OVERBAR 0x2A7D: [636,138,778,83,694], // LESS-THAN OR SLANTED EQUAL TO - 0x2A7E: [636,138,778,82,694], // GREATER-THAN OR SLANTED EQUAL TO - 0x2A85: [762,291,778,54,722], // LESS-THAN OR APPROXIMATE - 0x2A86: [763,290,778,54,722], // GREATER-THAN OR APPROXIMATE + 0x2A7E: [636,138,778,83,694], // GREATER-THAN OR SLANTED EQUAL TO + 0x2A85: [762,290,778,55,722], // LESS-THAN OR APPROXIMATE + 0x2A86: [762,290,778,55,722], // GREATER-THAN OR APPROXIMATE 0x2A87: [635,241,778,82,693], // LESS-THAN AND SINGLE-LINE NOT EQUAL TO - 0x2A88: [635,241,778,81,693], // GREATER-THAN AND SINGLE-LINE NOT EQUAL TO + 0x2A88: [635,241,778,82,693], // GREATER-THAN AND SINGLE-LINE NOT EQUAL TO 0x2A89: [761,387,778,57,718], // LESS-THAN AND NOT APPROXIMATE - 0x2A8A: [761,388,778,57,719], // GREATER-THAN AND NOT APPROXIMATE - 0x2A8B: [1003,463,778,83,695], // LESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THAN + 0x2A8A: [761,387,778,57,718], // GREATER-THAN AND NOT APPROXIMATE + 0x2A8B: [1003,463,778,83,694], // LESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THAN 0x2A8C: [1003,463,778,83,694], // GREATER-THAN ABOVE DOUBLE-LINE EQUAL ABOVE LESS-THAN 0x2A95: [636,138,778,83,694], // SLANTED EQUAL TO OR LESS-THAN 0x2A96: [636,138,778,83,694], // SLANTED EQUAL TO OR GREATER-THAN - 0x2AB5: [752,287,778,82,693], // PRECEDES ABOVE NOT EQUAL TO - 0x2AB6: [752,286,778,82,694], // SUCCEEDS ABOVE NOT EQUAL TO + 0x2AB5: [752,286,778,82,693], // PRECEDES ABOVE NOT EQUAL TO + 0x2AB6: [752,286,778,82,693], // SUCCEEDS ABOVE NOT EQUAL TO 0x2AB7: [761,294,778,57,717], // PRECEDES ABOVE ALMOST EQUAL TO 0x2AB8: [761,294,778,57,717], // SUCCEEDS ABOVE ALMOST EQUAL TO - 0x2AB9: [761,337,778,57,719], // PRECEDES ABOVE NOT ALMOST EQUAL TO - 0x2ABA: [761,337,778,57,719], // SUCCEEDS ABOVE NOT ALMOST EQUAL TO - 0x2AC5: [753,216,778,83,695], // SUBSET OF ABOVE EQUALS SIGN - 0x2AC6: [754,215,778,82,694], // SUPERSET OF ABOVE EQUALS SIGN + 0x2AB9: [761,337,778,57,718], // PRECEDES ABOVE NOT ALMOST EQUAL TO + 0x2ABA: [761,337,778,57,718], // SUCCEEDS ABOVE NOT ALMOST EQUAL TO + 0x2AC5: [753,215,778,84,694], // SUBSET OF ABOVE EQUALS SIGN + 0x2AC6: [753,215,778,83,694], // SUPERSET OF ABOVE EQUALS SIGN 0x2ACB: [783,385,778,82,693], // stix-subset not double equals, variant 0x2ACC: [783,385,778,82,693] // SUPERSET OF ABOVE NOT EQUAL TO } diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -53,41 +53,41 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Caligraphic-bold'] = { }, 0x20: [0,0,250,0,0], // SPACE 0x30: [460,17,575,46,528], // DIGIT ZERO - 0x31: [462,0,575,80,495], // DIGIT ONE - 0x32: [460,1,575,51,518], // DIGIT TWO - 0x33: [462,211,575,48,525], // DIGIT THREE - 0x34: [469,194,575,31,543], // DIGIT FOUR + 0x31: [461,0,575,80,494], // DIGIT ONE + 0x32: [460,0,575,51,517], // DIGIT TWO + 0x33: [461,211,575,48,525], // DIGIT THREE + 0x34: [469,194,575,32,542], // DIGIT FOUR 0x35: [461,211,575,57,517], // DIGIT FIVE 0x36: [660,17,575,48,526], // DIGIT SIX - 0x37: [477,211,575,64,559], // DIGIT SEVEN + 0x37: [476,211,575,64,558], // DIGIT SEVEN 0x38: [661,17,575,48,526], // DIGIT EIGHT 0x39: [461,210,575,48,526], // DIGIT NINE - 0x41: [752,49,921,39,989], // LATIN CAPITAL LETTER A - 0x42: [705,18,748,40,740], // LATIN CAPITAL LETTER B + 0x41: [751,49,921,39,989], // LATIN CAPITAL LETTER A + 0x42: [705,17,748,40,740], // LATIN CAPITAL LETTER B 0x43: [703,20,613,20,599], // LATIN CAPITAL LETTER C - 0x44: [687,0,892,19,885], // LATIN CAPITAL LETTER D + 0x44: [686,0,892,20,885], // LATIN CAPITAL LETTER D 0x45: [703,16,607,37,627], // LATIN CAPITAL LETTER E 0x46: [686,30,814,17,930], // LATIN CAPITAL LETTER F - 0x47: [703,114,682,50,671], // LATIN CAPITAL LETTER G - 0x48: [686,49,987,19,946], // LATIN CAPITAL LETTER H + 0x47: [703,113,682,50,671], // LATIN CAPITAL LETTER G + 0x48: [686,48,987,20,946], // LATIN CAPITAL LETTER H 0x49: [686,0,642,-27,746], // LATIN CAPITAL LETTER I - 0x4A: [687,114,779,53,937], // LATIN CAPITAL LETTER J - 0x4B: [703,18,871,40,834], // LATIN CAPITAL LETTER K - 0x4C: [703,17,788,40,751], // LATIN CAPITAL LETTER L + 0x4A: [686,114,779,53,937], // LATIN CAPITAL LETTER J + 0x4B: [703,17,871,40,834], // LATIN CAPITAL LETTER K + 0x4C: [703,17,788,41,751], // LATIN CAPITAL LETTER L 0x4D: [703,49,1378,38,1353], // LATIN CAPITAL LETTER M - 0x4E: [841,49,937,-24,1105], // LATIN CAPITAL LETTER N - 0x4F: [704,17,906,63,882], // LATIN CAPITAL LETTER O - 0x50: [687,67,810,20,846], // LATIN CAPITAL LETTER P - 0x51: [703,147,939,120,905], // LATIN CAPITAL LETTER Q - 0x52: [687,18,990,20,981], // LATIN CAPITAL LETTER R - 0x53: [704,16,696,25,722], // LATIN CAPITAL LETTER S + 0x4E: [840,49,937,-24,1105], // LATIN CAPITAL LETTER N + 0x4F: [703,17,906,63,882], // LATIN CAPITAL LETTER O + 0x50: [686,67,810,20,846], // LATIN CAPITAL LETTER P + 0x51: [703,146,939,120,905], // LATIN CAPITAL LETTER Q + 0x52: [686,17,990,20,981], // LATIN CAPITAL LETTER R + 0x53: [703,16,696,25,721], // LATIN CAPITAL LETTER S 0x54: [720,69,644,38,947], // LATIN CAPITAL LETTER T - 0x55: [687,24,715,-11,771], // LATIN CAPITAL LETTER U + 0x55: [686,24,715,-10,771], // LATIN CAPITAL LETTER U 0x56: [686,77,737,25,774], // LATIN CAPITAL LETTER V 0x57: [686,77,1169,25,1206], // LATIN CAPITAL LETTER W - 0x58: [687,-1,817,56,906], // LATIN CAPITAL LETTER X + 0x58: [686,-1,817,56,906], // LATIN CAPITAL LETTER X 0x59: [686,164,759,36,797], // LATIN CAPITAL LETTER Y - 0x5A: [687,1,818,46,853], // LATIN CAPITAL LETTER Z + 0x5A: [686,0,818,46,853], // LATIN CAPITAL LETTER Z 0xA0: [0,0,250,0,0] // NO-BREAK SPACE }; diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -52,39 +52,39 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Caligraphic'] = { }, 0x20: [0,0,250,0,0], // SPACE 0x30: [452,22,500,39,460], // DIGIT ZERO - 0x31: [454,0,500,86,426], // DIGIT ONE + 0x31: [453,0,500,86,426], // DIGIT ONE 0x32: [453,0,500,44,449], // DIGIT TWO - 0x33: [452,216,500,41,456], // DIGIT THREE - 0x34: [464,194,500,27,471], // DIGIT FOUR - 0x35: [453,217,500,50,448], // DIGIT FIVE - 0x36: [666,22,500,42,456], // DIGIT SIX - 0x37: [463,216,500,54,485], // DIGIT SEVEN - 0x38: [666,21,500,43,457], // DIGIT EIGHT + 0x33: [452,216,500,42,456], // DIGIT THREE + 0x34: [464,194,500,28,471], // DIGIT FOUR + 0x35: [453,216,500,50,448], // DIGIT FIVE + 0x36: [665,22,500,42,456], // DIGIT SIX + 0x37: [463,216,500,55,485], // DIGIT SEVEN + 0x38: [666,21,500,43,456], // DIGIT EIGHT 0x39: [453,216,500,42,457], // DIGIT NINE 0x41: [728,50,798,30,819], // LATIN CAPITAL LETTER A - 0x42: [705,22,657,31,664], // LATIN CAPITAL LETTER B + 0x42: [705,22,657,32,664], // LATIN CAPITAL LETTER B 0x43: [705,25,527,12,533], // LATIN CAPITAL LETTER C - 0x44: [684,1,771,19,767], // LATIN CAPITAL LETTER D - 0x45: [706,22,528,30,565], // LATIN CAPITAL LETTER E + 0x44: [683,0,771,19,766], // LATIN CAPITAL LETTER D + 0x45: [705,22,528,30,564], // LATIN CAPITAL LETTER E 0x46: [683,32,719,18,829], // LATIN CAPITAL LETTER F - 0x47: [704,119,595,43,599], // LATIN CAPITAL LETTER G + 0x47: [704,119,595,44,599], // LATIN CAPITAL LETTER G 0x48: [683,48,845,18,803], // LATIN CAPITAL LETTER H - 0x49: [683,1,545,-31,642], // LATIN CAPITAL LETTER I + 0x49: [683,0,545,-30,642], // LATIN CAPITAL LETTER I 0x4A: [683,119,678,47,839], // LATIN CAPITAL LETTER J - 0x4B: [705,23,762,32,733], // LATIN CAPITAL LETTER K - 0x4C: [706,22,690,32,656], // LATIN CAPITAL LETTER L + 0x4B: [705,22,762,32,732], // LATIN CAPITAL LETTER K + 0x4C: [705,22,690,32,656], // LATIN CAPITAL LETTER L 0x4D: [705,50,1201,28,1137], // LATIN CAPITAL LETTER M - 0x4E: [790,50,820,-27,979], // LATIN CAPITAL LETTER N + 0x4E: [789,50,820,-27,979], // LATIN CAPITAL LETTER N 0x4F: [705,22,796,58,777], // LATIN CAPITAL LETTER O - 0x50: [684,57,696,19,733], // LATIN CAPITAL LETTER P - 0x51: [706,131,817,114,787], // LATIN CAPITAL LETTER Q - 0x52: [683,22,848,19,837], // LATIN CAPITAL LETTER R - 0x53: [705,23,606,17,642], // LATIN CAPITAL LETTER S - 0x54: [717,69,545,34,834], // LATIN CAPITAL LETTER T - 0x55: [684,28,626,-17,687], // LATIN CAPITAL LETTER U + 0x50: [683,57,696,19,733], // LATIN CAPITAL LETTER P + 0x51: [705,131,817,114,787], // LATIN CAPITAL LETTER Q + 0x52: [682,22,848,19,837], // LATIN CAPITAL LETTER R + 0x53: [705,22,606,18,642], // LATIN CAPITAL LETTER S + 0x54: [717,68,545,34,833], // LATIN CAPITAL LETTER T + 0x55: [683,28,626,-17,687], // LATIN CAPITAL LETTER U 0x56: [683,52,613,25,658], // LATIN CAPITAL LETTER V 0x57: [683,53,988,25,1034], // LATIN CAPITAL LETTER W - 0x58: [684,1,713,52,807], // LATIN CAPITAL LETTER X + 0x58: [683,0,713,52,807], // LATIN CAPITAL LETTER X 0x59: [683,143,668,31,714], // LATIN CAPITAL LETTER Y 0x5A: [683,0,725,37,767], // LATIN CAPITAL LETTER Z 0xA0: [0,0,250,0,0] // NO-BREAK SPACE diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -23,7 +23,7 @@ MathJax.Hub.Insert( { 0x20: [0,0,250,0,0], // SPACE 0x21: [689,12,349,107,241], // EXCLAMATION MARK - 0x22: [695,-432,254,10,232], // QUOTATION MARK + 0x22: [695,-432,254,10,231], // QUOTATION MARK 0x26: [696,16,871,44,839], // AMPERSAND 0x27: [695,-436,250,80,158], // APOSTROPHE 0x28: [737,186,459,134,347], // LEFT PARENTHESIS @@ -37,7 +37,7 @@ MathJax.Hub.Insert( 0x30: [501,12,593,42,533], // DIGIT ZERO 0x31: [489,0,593,54,548], // DIGIT ONE 0x32: [491,-2,593,44,563], // DIGIT TWO - 0x33: [488,193,593,31,523], // DIGIT THREE + 0x33: [487,193,593,31,523], // DIGIT THREE 0x34: [495,196,593,13,565], // DIGIT FOUR 0x35: [481,190,593,19,518], // DIGIT FIVE 0x36: [704,12,593,48,547], // DIGIT SIX @@ -47,38 +47,38 @@ MathJax.Hub.Insert( 0x3A: [457,12,255,57,197], // COLON 0x3B: [458,190,255,56,211], // SEMICOLON 0x3D: [343,-168,582,22,559], // EQUALS SIGN - 0x3F: [698,14,428,39,422], // QUESTION MARK - 0x41: [686,31,847,28,827], // LATIN CAPITAL LETTER A + 0x3F: [697,14,428,40,422], // QUESTION MARK + 0x41: [686,31,847,29,827], // LATIN CAPITAL LETTER A 0x42: [684,31,1044,57,965], // LATIN CAPITAL LETTER B 0x43: [676,32,723,72,726], // LATIN CAPITAL LETTER C - 0x44: [684,29,982,31,896], // LATIN CAPITAL LETTER D + 0x44: [683,29,982,31,896], // LATIN CAPITAL LETTER D 0x45: [686,29,783,74,728], // LATIN CAPITAL LETTER E - 0x46: [684,147,722,17,727], // LATIN CAPITAL LETTER F + 0x46: [684,146,722,17,727], // LATIN CAPITAL LETTER F 0x47: [687,29,927,74,844], // LATIN CAPITAL LETTER G - 0x48: [684,126,851,6,752], // LATIN CAPITAL LETTER H + 0x48: [683,126,851,6,752], // LATIN CAPITAL LETTER H 0x49: [681,25,655,32,623], // LATIN CAPITAL LETTER I - 0x4A: [681,141,652,-8,617], // LATIN CAPITAL LETTER J - 0x4B: [682,26,789,20,806], // LATIN CAPITAL LETTER K + 0x4A: [680,141,652,-8,616], // LATIN CAPITAL LETTER J + 0x4B: [681,26,789,20,806], // LATIN CAPITAL LETTER K 0x4C: [683,28,786,30,764], // LATIN CAPITAL LETTER L - 0x4D: [684,33,1239,26,1232], // LATIN CAPITAL LETTER M + 0x4D: [683,32,1239,27,1232], // LATIN CAPITAL LETTER M 0x4E: [679,30,983,26,973], // LATIN CAPITAL LETTER N 0x4F: [726,30,976,12,881], // LATIN CAPITAL LETTER O - 0x50: [688,223,977,32,943], // LATIN CAPITAL LETTER P + 0x50: [688,223,977,33,943], // LATIN CAPITAL LETTER P 0x51: [726,83,976,12,918], // LATIN CAPITAL LETTER Q 0x52: [688,28,978,31,978], // LATIN CAPITAL LETTER R 0x53: [685,31,978,82,905], // LATIN CAPITAL LETTER S 0x54: [686,30,790,31,802], // LATIN CAPITAL LETTER T 0x55: [688,39,851,18,871], // LATIN CAPITAL LETTER U - 0x56: [685,29,982,24,966], // LATIN CAPITAL LETTER V - 0x57: [683,30,1235,25,1240], // LATIN CAPITAL LETTER W + 0x56: [685,29,982,25,966], // LATIN CAPITAL LETTER V + 0x57: [683,30,1235,26,1240], // LATIN CAPITAL LETTER W 0x58: [681,35,849,32,835], // LATIN CAPITAL LETTER X - 0x59: [688,214,984,33,878], // LATIN CAPITAL LETTER Y + 0x59: [688,214,984,34,878], // LATIN CAPITAL LETTER Y 0x5A: [677,148,711,-4,624], // LATIN CAPITAL LETTER Z 0x5B: [740,130,257,36,226], // LEFT SQUARE BRACKET 0x5D: [738,132,257,14,208], // RIGHT SQUARE BRACKET 0x5E: [734,-452,590,1,584], // CIRCUMFLEX ACCENT - 0x61: [472,32,603,79,586], // LATIN SMALL LETTER A - 0x62: [690,32,590,85,504], // LATIN SMALL LETTER B + 0x61: [472,32,603,80,586], // LATIN SMALL LETTER A + 0x62: [690,32,590,86,504], // LATIN SMALL LETTER B 0x63: [473,26,464,87,424], // LATIN SMALL LETTER C 0x64: [632,28,589,-1,511], // LATIN SMALL LETTER D 0x65: [471,27,472,81,428], // LATIN SMALL LETTER E @@ -89,13 +89,13 @@ MathJax.Hub.Insert( 0x6A: [682,203,332,-19,238], // LATIN SMALL LETTER J 0x6B: [682,25,464,34,432], // LATIN SMALL LETTER K 0x6C: [681,24,337,100,312], // LATIN SMALL LETTER L - 0x6D: [477,31,921,16,900], // LATIN SMALL LETTER M - 0x6E: [474,28,654,5,608], // LATIN SMALL LETTER N + 0x6D: [476,31,921,16,900], // LATIN SMALL LETTER M + 0x6E: [473,28,654,5,608], // LATIN SMALL LETTER N 0x6F: [482,34,609,107,515], // LATIN SMALL LETTER O - 0x70: [558,207,604,-1,520], // LATIN SMALL LETTER P + 0x70: [557,207,604,-1,519], // LATIN SMALL LETTER P 0x71: [485,211,596,87,515], // LATIN SMALL LETTER Q 0x72: [472,26,460,13,453], // LATIN SMALL LETTER R - 0x73: [479,34,523,-23,482], // LATIN SMALL LETTER S + 0x73: [479,34,523,-23,481], // LATIN SMALL LETTER S 0x74: [648,27,393,43,407], // LATIN SMALL LETTER T 0x75: [472,32,589,9,603], // LATIN SMALL LETTER U 0x76: [546,27,604,56,507], // LATIN SMALL LETTER V diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,13 +21,13 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Fraktur-bold'], { - 0xE301: [630,27,587,64,512], // ?? - 0xE302: [693,212,394,37,408], // ?? - 0xE303: [681,219,387,36,384], // ?? - 0xE304: [473,212,593,67,531], // ?? - 0xE305: [684,27,393,33,387], // ?? - 0xE308: [679,220,981,32,875], // ?? - 0xE309: [717,137,727,17,633] // ?? + 0xE301: [630,27,587,64,512], // stix-MATHEMATICAL BOLD CAPITAL GAMMA SLASHED + 0xE302: [693,212,394,37,408], // stix-capital Delta, Greek slashed + 0xE303: [681,219,387,36,384], // stix-MATHEMATICAL BOLD CAPITAL DELTA SLASHED + 0xE304: [473,212,593,67,531], // stix-capital Epsilon, Greek slashed + 0xE305: [684,27,393,33,387], // stix-MATHEMATICAL BOLD CAPITAL EPSILON SLASHED + 0xE308: [679,220,981,32,875], // stix-capital Eta, Greek slashed + 0xE309: [717,137,727,17,633] // stix-MATHEMATICAL BOLD CAPITAL ETA SLASHED } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -28,7 +28,7 @@ MathJax.Hub.Insert( 0x27: [695,-436,212,69,134], // APOSTROPHE 0x28: [737,186,389,114,293], // LEFT PARENTHESIS 0x29: [735,187,389,89,276], // RIGHT PARENTHESIS - 0x2A: [693,-449,278,33,234], // ASTERISK + 0x2A: [692,-449,278,33,234], // ASTERISK 0x2B: [598,82,756,47,709], // PLUS SIGN 0x2C: [107,191,278,99,213], // COMMA 0x2D: [275,-236,756,46,706], // HYPHEN-MINUS @@ -39,7 +39,7 @@ MathJax.Hub.Insert( 0x32: [474,-1,502,60,484], // DIGIT TWO 0x33: [473,182,502,39,429], // DIGIT THREE 0x34: [476,191,502,10,481], // DIGIT FOUR - 0x35: [458,185,502,47,440], // DIGIT FIVE + 0x35: [458,184,502,47,440], // DIGIT FIVE 0x36: [700,13,502,45,471], // DIGIT SIX 0x37: [468,181,502,37,498], // DIGIT SEVEN 0x38: [705,10,502,40,461], // DIGIT EIGHT @@ -49,30 +49,30 @@ MathJax.Hub.Insert( 0x3D: [368,-132,756,54,725], // EQUALS SIGN 0x3F: [693,11,362,46,357], // QUESTION MARK 0x41: [696,26,718,22,708], // LATIN CAPITAL LETTER A - 0x42: [691,28,884,48,821], // LATIN CAPITAL LETTER B + 0x42: [691,27,884,48,820], // LATIN CAPITAL LETTER B 0x43: [685,24,613,59,607], // LATIN CAPITAL LETTER C 0x44: [685,27,832,27,745], // LATIN CAPITAL LETTER D 0x45: [685,24,663,86,634], // LATIN CAPITAL LETTER E - 0x46: [686,154,611,11,612], // LATIN CAPITAL LETTER F - 0x47: [690,26,785,66,711], // LATIN CAPITAL LETTER G - 0x48: [666,133,720,1,645], // LATIN CAPITAL LETTER H + 0x46: [686,153,611,11,612], // LATIN CAPITAL LETTER F + 0x47: [690,26,785,66,710], // LATIN CAPITAL LETTER G + 0x48: [666,133,720,1,644], // LATIN CAPITAL LETTER H 0x49: [686,26,554,30,532], // LATIN CAPITAL LETTER I - 0x4A: [686,139,552,-11,522], // LATIN CAPITAL LETTER J - 0x4B: [681,27,668,17,682], // LATIN CAPITAL LETTER K + 0x4A: [686,139,552,-10,522], // LATIN CAPITAL LETTER J + 0x4B: [680,27,668,17,682], // LATIN CAPITAL LETTER K 0x4C: [686,26,666,33,644], // LATIN CAPITAL LETTER L - 0x4D: [692,28,1050,27,1048], // LATIN CAPITAL LETTER M + 0x4D: [692,27,1050,27,1048], // LATIN CAPITAL LETTER M 0x4E: [686,25,832,27,825], // LATIN CAPITAL LETTER N 0x4F: [729,27,827,12,744], // LATIN CAPITAL LETTER O 0x50: [692,218,828,28,804], // LATIN CAPITAL LETTER P - 0x51: [729,69,827,11,783], // LATIN CAPITAL LETTER Q + 0x51: [729,69,827,11,782], // LATIN CAPITAL LETTER Q 0x52: [686,26,828,27,824], // LATIN CAPITAL LETTER R - 0x53: [692,27,829,65,756], // LATIN CAPITAL LETTER S - 0x54: [701,27,669,34,677], // LATIN CAPITAL LETTER T + 0x53: [692,27,829,66,756], // LATIN CAPITAL LETTER S + 0x54: [701,27,669,34,676], // LATIN CAPITAL LETTER T 0x55: [697,27,646,-25,665], // LATIN CAPITAL LETTER U 0x56: [686,26,831,26,825], // LATIN CAPITAL LETTER V - 0x57: [686,27,1046,32,1055], // LATIN CAPITAL LETTER W + 0x57: [686,27,1046,32,1054], // LATIN CAPITAL LETTER W 0x58: [688,27,719,28,709], // LATIN CAPITAL LETTER X - 0x59: [686,218,833,27,741], // LATIN CAPITAL LETTER Y + 0x59: [686,218,833,27,740], // LATIN CAPITAL LETTER Y 0x5A: [729,139,602,11,532], // LATIN CAPITAL LETTER Z 0x5B: [740,130,278,117,278], // LEFT SQUARE BRACKET 0x5D: [738,131,278,-4,160], // RIGHT SQUARE BRACKET @@ -84,12 +84,12 @@ MathJax.Hub.Insert( 0x65: [467,30,401,70,364], // LATIN SMALL LETTER E 0x66: [681,221,326,30,323], // LATIN SMALL LETTER F 0x67: [470,209,504,17,455], // LATIN SMALL LETTER G - 0x68: [689,205,521,77,434], // LATIN SMALL LETTER H + 0x68: [688,205,521,77,434], // LATIN SMALL LETTER H 0x69: [673,20,279,14,267], // LATIN SMALL LETTER I 0x6A: [672,208,281,-9,196], // LATIN SMALL LETTER J 0x6B: [689,25,389,24,362], // LATIN SMALL LETTER K 0x6C: [685,20,280,98,276], // LATIN SMALL LETTER L - 0x6D: [476,26,767,8,753], // LATIN SMALL LETTER M + 0x6D: [475,26,767,8,753], // LATIN SMALL LETTER M 0x6E: [475,22,527,20,514], // LATIN SMALL LETTER N 0x6F: [480,28,489,67,412], // LATIN SMALL LETTER O 0x70: [541,212,500,12,430], // LATIN SMALL LETTER P @@ -97,8 +97,8 @@ MathJax.Hub.Insert( 0x72: [474,21,389,17,387], // LATIN SMALL LETTER R 0x73: [478,29,443,-18,406], // LATIN SMALL LETTER S 0x74: [640,20,333,27,348], // LATIN SMALL LETTER T - 0x75: [474,24,517,9,513], // LATIN SMALL LETTER U - 0x76: [531,28,512,55,435], // LATIN SMALL LETTER V + 0x75: [474,23,517,9,513], // LATIN SMALL LETTER U + 0x76: [530,28,512,55,434], // LATIN SMALL LETTER V 0x77: [532,28,774,45,688], // LATIN SMALL LETTER W 0x78: [472,188,389,10,363], // LATIN SMALL LETTER X 0x79: [528,218,499,45,431], // LATIN SMALL LETTER Y diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,14 +21,14 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Fraktur'], { - 0xE300: [683,32,497,75,430], // ?? - 0xE301: [616,30,498,35,432], // ?? - 0xE302: [680,215,333,29,339], // ?? - 0xE303: [679,224,329,28,318], // ?? - 0xE304: [471,214,503,52,449], // ?? - 0xE305: [686,20,333,26,315], // ?? - 0xE306: [577,22,334,29,347], // ?? - 0xE307: [475,22,501,10,514] // ?? + 0xE300: [683,32,497,75,430], // stix-capital Gamma, Greek slashed + 0xE301: [616,30,498,35,432], // stix-MATHEMATICAL BOLD CAPITAL GAMMA SLASHED + 0xE302: [680,215,333,29,339], // stix-capital Delta, Greek slashed + 0xE303: [679,224,329,28,318], // stix-MATHEMATICAL BOLD CAPITAL DELTA SLASHED + 0xE304: [471,214,503,52,449], // stix-capital Epsilon, Greek slashed + 0xE305: [686,20,333,26,315], // stix-MATHEMATICAL BOLD CAPITAL EPSILON SLASHED + 0xE306: [577,21,334,29,347], // stix-capital Zeta, Greek slashed + 0xE307: [475,22,501,10,514] // stix-MATHEMATICAL BOLD CAPITAL ZETA SLASHED } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek-bold'] = { directory: 'Greek/Bold', family: 'MathJax_Greek', weight: 'bold', - testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B), + testString: "\u0393 \u03A5 \u039B", 0x20: [0,0,250,0,0], // SPACE 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x393: [680,0,692,39,643], // GREEK CAPITAL LETTER GAMMA diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -23,7 +23,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek-bold-italic'] = { family: 'MathJax_Greek', weight: 'bold', style: 'italic', - testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B), + testString: "\u0393 \u03A5 \u039B", skew: { 0x393: 0.0958, 0x394: 0.192, diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek-italic'] = { directory: 'Greek/Italic', family: 'MathJax_Greek', style: 'italic', - testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B), + testString: "\u0393 \u03A5 \u039B", skew: { 0x393: 0.0833, 0x394: 0.167, diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Greek'] = { directory: 'Greek/Regular', family: 'MathJax_Greek', - testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B), + testString: "\u0393 \u03A5 \u039B", 0x20: [0,0,250,0,0], // SPACE 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x393: [680,0,625,25,582], // GREEK CAPITAL LETTER GAMMA diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,30 +21,30 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { - 0x2190: [519,18,1150,64,1085], // LEFTWARDS ARROW - 0x2191: [694,193,575,13,562], // UPWARDS ARROW - 0x2192: [519,18,1150,65,1085], // RIGHTWARDS ARROW - 0x2193: [694,194,575,13,562], // DOWNWARDS ARROW - 0x2194: [519,18,1150,64,1085], // LEFT RIGHT ARROW - 0x2195: [767,267,575,13,562], // UP DOWN ARROW - 0x2196: [724,195,1150,64,1084], // NORTH WEST ARROW - 0x2197: [724,193,1150,64,1086], // NORTH EAST ARROW - 0x2198: [695,224,1150,65,1085], // SOUTH EAST ARROW + 0x2190: [518,17,1150,64,1084], // LEFTWARDS ARROW + 0x2191: [694,193,575,14,561], // UPWARDS ARROW + 0x2192: [518,17,1150,65,1085], // RIGHTWARDS ARROW + 0x2193: [694,194,575,14,561], // DOWNWARDS ARROW + 0x2194: [518,17,1150,64,1085], // LEFT RIGHT ARROW + 0x2195: [767,267,575,14,561], // UP DOWN ARROW + 0x2196: [724,194,1150,64,1084], // NORTH WEST ARROW + 0x2197: [724,193,1150,64,1085], // NORTH EAST ARROW + 0x2198: [694,224,1150,65,1085], // SOUTH EAST ARROW 0x2199: [694,224,1150,64,1085], // SOUTH WEST ARROW - 0x21A6: [519,18,1150,65,1085], // RIGHTWARDS ARROW FROM BAR - 0x21A9: [519,18,1282,64,1219], // LEFTWARDS ARROW WITH HOOK - 0x21AA: [519,18,1282,65,1217], // RIGHTWARDS ARROW WITH HOOK + 0x21A6: [518,17,1150,65,1085], // RIGHTWARDS ARROW FROM BAR + 0x21A9: [518,17,1282,64,1218], // LEFTWARDS ARROW WITH HOOK + 0x21AA: [518,17,1282,65,1217], // RIGHTWARDS ARROW WITH HOOK 0x21BC: [518,-220,1150,64,1084], // LEFTWARDS HARPOON WITH BARB UPWARDS 0x21BD: [281,17,1150,64,1084], // LEFTWARDS HARPOON WITH BARB DOWNWARDS 0x21C0: [518,-220,1150,65,1085], // RIGHTWARDS HARPOON WITH BARB UPWARDS 0x21C1: [281,17,1150,64,1085], // RIGHTWARDS HARPOON WITH BARB DOWNWARDS 0x21CC: [718,17,1150,64,1085], // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON - 0x21D0: [548,46,1150,63,1085], // LEFTWARDS DOUBLE ARROW - 0x21D1: [694,194,703,29,672], // UPWARDS DOUBLE ARROW - 0x21D2: [548,47,1150,64,1084], // RIGHTWARDS DOUBLE ARROW - 0x21D3: [694,194,703,30,673], // DOWNWARDS DOUBLE ARROW - 0x21D4: [548,46,1150,47,1102], // LEFT RIGHT DOUBLE ARROW - 0x21D5: [768,267,703,29,673] // UP DOWN DOUBLE ARROW + 0x21D0: [547,46,1150,64,1085], // LEFTWARDS DOUBLE ARROW + 0x21D1: [694,193,703,30,672], // UPWARDS DOUBLE ARROW + 0x21D2: [547,46,1150,64,1084], // RIGHTWARDS DOUBLE ARROW + 0x21D3: [694,194,703,30,672], // DOWNWARDS DOUBLE ARROW + 0x21D4: [547,46,1150,47,1102], // LEFT RIGHT DOUBLE ARROW + 0x21D5: [767,267,703,30,672] // UP DOWN DOUBLE ARROW } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,12 +24,12 @@ MathJax.Hub.Insert( 0x300: [706,-503,0,-461,-237], // COMBINING GRAVE ACCENT 0x301: [706,-503,0,-339,-115], // COMBINING ACUTE ACCENT 0x302: [694,-520,0,-449,-127], // COMBINING CIRCUMFLEX ACCENT - 0x303: [694,-551,0,-479,-97], // COMBINING TILDE + 0x303: [694,-552,0,-479,-97], // COMBINING TILDE 0x304: [607,-540,0,-495,-81], // COMBINING MACRON 0x306: [694,-500,0,-473,-103], // COMBINING BREVE 0x307: [695,-525,0,-373,-203], // COMBINING DOT ABOVE 0x308: [695,-535,0,-479,-97], // COMBINING DIAERESIS - 0x30A: [703,-536,0,-415,-161], // COMBINING RING ABOVE + 0x30A: [702,-536,0,-415,-161], // COMBINING RING ABOVE 0x30B: [714,-511,0,-442,-82], // COMBINING DOUBLE ACUTE ACCENT 0x30C: [660,-515,0,-445,-131], // COMBINING CARON 0x338: [711,210,0,-734,-161] // COMBINING LONG SOLIDUS OVERLAY diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -35,9 +35,9 @@ MathJax.Hub.Insert( 0x201C: [694,-329,603,110,564], // LEFT DOUBLE QUOTATION MARK 0x201D: [694,-329,603,38,492], // RIGHT DOUBLE QUOTATION MARK 0x2020: [702,211,511,64,446], // DAGGER - 0x2021: [702,203,511,64,446], // DOUBLE DAGGER + 0x2021: [702,202,511,64,446], // DOUBLE DAGGER 0x2026: [171,-1,1295,74,1221], // HORIZONTAL ELLIPSIS - 0x2032: [563,-33,344,35,332] // PRIME + 0x2032: [563,-33,344,35,331] // PRIME } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,10 +21,10 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { - 0x25B3: [711,-1,1022,68,953], // WHITE UP-POINTING TRIANGLE - 0x25B9: [541,39,575,33,542], // WHITE RIGHT-POINTING SMALL TRIANGLE + 0x25B3: [711,-1,1022,69,953], // WHITE UP-POINTING TRIANGLE + 0x25B9: [540,39,575,33,542], // WHITE RIGHT-POINTING SMALL TRIANGLE 0x25BD: [500,210,1022,68,953], // WHITE DOWN-POINTING TRIANGLE - 0x25C3: [539,39,575,33,542], // WHITE LEFT-POINTING SMALL TRIANGLE + 0x25C3: [539,38,575,33,542], // WHITE LEFT-POINTING SMALL TRIANGLE 0x25EF: [711,211,1150,65,1084] // LARGE CIRCLE } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -23,12 +23,12 @@ MathJax.Hub.Insert( { 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0xA8: [695,-535,575,96,478], // DIAERESIS - 0xAC: [371,-61,767,64,703], // NOT SIGN + 0xAC: [371,-61,767,64,702], // NOT SIGN 0xAF: [607,-540,575,80,494], // MACRON - 0xB0: [703,-536,575,160,414], // DEGREE SIGN + 0xB0: [702,-536,575,160,414], // DEGREE SIGN 0xB1: [728,35,894,64,829], // PLUS-MINUS SIGN 0xB4: [706,-503,575,236,460], // ACUTE ACCENT - 0xD7: [531,29,894,167,727], // MULTIPLICATION SIGN + 0xD7: [530,28,894,168,726], // MULTIPLICATION SIGN 0xF7: [597,96,894,64,828] // DIVISION SIGN } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { - 0x131: [453,8,394,24,367] // LATIN SMALL LETTER DOTLESS I + 0x131: [452,8,394,24,367] // LATIN SMALL LETTER DOTLESS I } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,11 +22,11 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { 0x210F: [694,8,668,45,642], // stix-/hbar - Planck's over 2pi - 0x2111: [702,9,831,64,798], // BLACK-LETTER CAPITAL I - 0x2113: [702,19,474,-1,447], // SCRIPT SMALL L - 0x2118: [462,211,740,72,727], // SCRIPT CAPITAL P - 0x211C: [711,17,831,41,824], // BLACK-LETTER CAPITAL R - 0x2135: [694,1,703,64,639] // ALEF SYMBOL + 0x2111: [702,8,831,64,798], // BLACK-LETTER CAPITAL I + 0x2113: [702,19,474,-1,446], // SCRIPT SMALL L + 0x2118: [461,210,740,72,726], // SCRIPT CAPITAL P + 0x211C: [711,16,831,42,824], // BLACK-LETTER CAPITAL R + 0x2135: [694,0,703,64,638] // ALEF SYMBOL } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = { directory: 'Main/Bold', family: 'MathJax_Main', weight: 'bold', - testString: "MathJax Main", + testString: "MathJax Main ^ \u210F \u2223", skew: { 0x131: 0.0319, 0x237: 0.0958, @@ -56,7 +56,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = { 0x25: [750,56,958,65,893], // PERCENT SIGN 0x26: [705,11,894,48,836], // AMPERSAND 0x27: [694,-329,319,74,261], // APOSTROPHE - 0x28: [751,250,447,103,382], // LEFT PARENTHESIS + 0x28: [750,249,447,103,382], // LEFT PARENTHESIS 0x29: [750,249,447,64,343], // RIGHT PARENTHESIS 0x2A: [750,-306,575,73,501], // ASTERISK 0x2B: [633,131,894,64,829], // PLUS SIGN @@ -64,28 +64,28 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = { 0x2D: [278,-166,383,13,318], // HYPHEN-MINUS 0x2E: [171,-1,319,74,245], // FULL STOP 0x2F: [750,250,575,63,511], // SOLIDUS - 0x30: [655,10,575,45,529], // DIGIT ZERO + 0x30: [654,10,575,45,529], // DIGIT ZERO 0x31: [655,0,575,80,494], // DIGIT ONE 0x32: [654,0,575,57,517], // DIGIT TWO - 0x33: [655,12,575,47,526], // DIGIT THREE - 0x34: [657,0,575,32,542], // DIGIT FOUR + 0x33: [655,11,575,47,526], // DIGIT THREE + 0x34: [656,0,575,32,542], // DIGIT FOUR 0x35: [655,11,575,57,517], // DIGIT FIVE - 0x36: [655,11,575,48,527], // DIGIT SIX - 0x37: [676,11,575,64,559], // DIGIT SEVEN + 0x36: [655,11,575,48,526], // DIGIT SIX + 0x37: [676,11,575,64,558], // DIGIT SEVEN 0x38: [654,11,575,48,526], // DIGIT EIGHT 0x39: [654,11,575,48,526], // DIGIT NINE 0x3A: [444,-1,319,74,245], // COLON 0x3B: [444,194,319,74,248], // SEMICOLON 0x3C: [587,85,894,96,797], // LESS-THAN SIGN 0x3D: [393,-109,894,64,829], // EQUALS SIGN - 0x3E: [587,85,894,95,797], // GREATER-THAN SIGN + 0x3E: [587,85,894,96,797], // GREATER-THAN SIGN 0x3F: [700,-1,543,65,478], // QUESTION MARK - 0x40: [700,6,894,64,829], // COMMERCIAL AT + 0x40: [699,6,894,64,829], // COMMERCIAL AT 0x41: [698,0,869,40,828], // LATIN CAPITAL LETTER A - 0x42: [687,0,818,39,753], // LATIN CAPITAL LETTER B - 0x43: [697,11,831,64,767], // LATIN CAPITAL LETTER C - 0x44: [687,0,882,39,817], // LATIN CAPITAL LETTER D - 0x45: [681,0,756,38,723], // LATIN CAPITAL LETTER E + 0x42: [686,0,818,39,752], // LATIN CAPITAL LETTER B + 0x43: [697,11,831,64,766], // LATIN CAPITAL LETTER C + 0x44: [686,0,882,39,817], // LATIN CAPITAL LETTER D + 0x45: [680,0,756,39,723], // LATIN CAPITAL LETTER E 0x46: [680,0,724,39,675], // LATIN CAPITAL LETTER F 0x47: [697,10,904,64,845], // LATIN CAPITAL LETTER G 0x48: [686,0,900,39,860], // LATIN CAPITAL LETTER H @@ -93,20 +93,20 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = { 0x4A: [686,11,594,8,527], // LATIN CAPITAL LETTER J 0x4B: [686,0,901,39,852], // LATIN CAPITAL LETTER K 0x4C: [686,0,692,39,643], // LATIN CAPITAL LETTER L - 0x4D: [687,0,1092,39,1052], // LATIN CAPITAL LETTER M - 0x4E: [687,1,900,39,861], // LATIN CAPITAL LETTER N + 0x4D: [686,0,1092,39,1052], // LATIN CAPITAL LETTER M + 0x4E: [686,0,900,39,860], // LATIN CAPITAL LETTER N 0x4F: [696,10,864,64,798], // LATIN CAPITAL LETTER O 0x50: [686,0,786,39,721], // LATIN CAPITAL LETTER P - 0x51: [697,193,864,64,806], // LATIN CAPITAL LETTER Q - 0x52: [687,11,862,39,858], // LATIN CAPITAL LETTER R - 0x53: [697,11,639,63,575], // LATIN CAPITAL LETTER S + 0x51: [696,193,864,64,805], // LATIN CAPITAL LETTER Q + 0x52: [686,11,862,39,858], // LATIN CAPITAL LETTER R + 0x53: [697,11,639,64,574], // LATIN CAPITAL LETTER S 0x54: [675,0,800,41,758], // LATIN CAPITAL LETTER T - 0x55: [686,12,885,39,845], // LATIN CAPITAL LETTER U + 0x55: [686,11,885,39,845], // LATIN CAPITAL LETTER U 0x56: [686,7,869,25,843], // LATIN CAPITAL LETTER V - 0x57: [686,8,1189,24,1164], // LATIN CAPITAL LETTER W + 0x57: [686,7,1189,24,1164], // LATIN CAPITAL LETTER W 0x58: [686,0,869,33,835], // LATIN CAPITAL LETTER X 0x59: [686,0,869,19,849], // LATIN CAPITAL LETTER Y - 0x5A: [687,0,703,64,645], // LATIN CAPITAL LETTER Z + 0x5A: [686,0,703,64,645], // LATIN CAPITAL LETTER Z 0x5B: [750,250,319,128,293], // LEFT SQUARE BRACKET 0x5C: [750,250,575,63,511], // REVERSE SOLIDUS 0x5D: [750,250,319,25,190], // RIGHT SQUARE BRACKET @@ -114,10 +114,10 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = { 0x5F: [-10,61,575,0,574], // LOW LINE 0x60: [706,-503,575,114,338], // GRAVE ACCENT 0x61: [453,6,559,32,558], // LATIN SMALL LETTER A - 0x62: [694,7,639,29,601], // LATIN SMALL LETTER B + 0x62: [694,6,639,29,600], // LATIN SMALL LETTER B 0x63: [453,6,511,39,478], // LATIN SMALL LETTER C - 0x64: [695,6,639,38,609], // LATIN SMALL LETTER D - 0x65: [453,6,527,32,494], // LATIN SMALL LETTER E + 0x64: [694,6,639,38,609], // LATIN SMALL LETTER D + 0x65: [452,6,527,32,494], // LATIN SMALL LETTER E 0x66: [700,0,351,40,452], // LATIN SMALL LETTER F 0x67: [455,201,575,30,558], // LATIN SMALL LETTER G 0x68: [694,0,639,37,623], // LATIN SMALL LETTER H @@ -125,35 +125,35 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'] = { 0x6A: [695,200,351,-71,274], // LATIN SMALL LETTER J 0x6B: [694,0,607,29,587], // LATIN SMALL LETTER K 0x6C: [694,0,319,40,301], // LATIN SMALL LETTER L - 0x6D: [451,0,958,37,942], // LATIN SMALL LETTER M + 0x6D: [450,0,958,37,942], // LATIN SMALL LETTER M 0x6E: [450,0,639,37,623], // LATIN SMALL LETTER N 0x6F: [452,5,575,32,542], // LATIN SMALL LETTER O - 0x70: [450,194,639,28,600], // LATIN SMALL LETTER P + 0x70: [450,194,639,29,600], // LATIN SMALL LETTER P 0x71: [450,194,607,38,609], // LATIN SMALL LETTER Q 0x72: [450,0,474,29,442], // LATIN SMALL LETTER R - 0x73: [453,7,454,37,415], // LATIN SMALL LETTER S - 0x74: [636,6,447,21,382], // LATIN SMALL LETTER T + 0x73: [453,6,454,38,414], // LATIN SMALL LETTER S + 0x74: [635,5,447,21,382], // LATIN SMALL LETTER T 0x75: [450,6,639,37,623], // LATIN SMALL LETTER U - 0x76: [444,4,607,26,580], // LATIN SMALL LETTER V - 0x77: [444,5,831,25,805], // LATIN SMALL LETTER W + 0x76: [444,3,607,26,580], // LATIN SMALL LETTER V + 0x77: [444,4,831,25,805], // LATIN SMALL LETTER W 0x78: [444,0,607,21,586], // LATIN SMALL LETTER X 0x79: [444,200,607,23,580], // LATIN SMALL LETTER Y - 0x7A: [445,0,511,31,462], // LATIN SMALL LETTER Z - 0x7B: [751,251,575,69,504], // LEFT CURLY BRACKET + 0x7A: [444,0,511,32,462], // LATIN SMALL LETTER Z + 0x7B: [750,250,575,70,504], // LEFT CURLY BRACKET 0x7C: [750,249,319,129,190], // VERTICAL LINE - 0x7D: [751,251,575,70,504], // RIGHT CURLY BRACKET - 0x7E: [344,-201,575,96,478], // TILDE + 0x7D: [750,250,575,70,504], // RIGHT CURLY BRACKET + 0x7E: [344,-202,575,96,478], // TILDE 0x393: [680,0,692,39,643], // GREEK CAPITAL LETTER GAMMA 0x394: [698,0,958,56,901], // GREEK CAPITAL LETTER DELTA 0x398: [696,10,894,64,829], // GREEK CAPITAL LETTER THETA - 0x39B: [699,0,806,40,765], // GREEK CAPITAL LETTER LAMDA + 0x39B: [698,0,806,40,765], // GREEK CAPITAL LETTER LAMDA 0x39E: [675,0,767,48,718], // GREEK CAPITAL LETTER XI 0x3A0: [680,0,900,39,860], // GREEK CAPITAL LETTER PI 0x3A3: [686,0,831,63,766], // GREEK CAPITAL LETTER SIGMA 0x3A5: [697,0,894,64,829], // GREEK CAPITAL LETTER UPSILON 0x3A6: [686,0,831,64,766], // GREEK CAPITAL LETTER PHI 0x3A8: [686,0,894,64,829], // GREEK CAPITAL LETTER PSI - 0x3A9: [696,1,831,51,780] // GREEK CAPITAL LETTER OMEGA + 0x3A9: [696,0,831,51,779] // GREEK CAPITAL LETTER OMEGA }; MathJax.Callback.Queue( diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,29 +21,29 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { - 0x2200: [694,16,639,0,640], // FOR ALL + 0x2200: [694,16,639,1,640], // FOR ALL 0x2202: [710,17,628,60,657], // PARTIAL DIFFERENTIAL 0x2203: [694,-1,639,64,574], // THERE EXISTS 0x2205: [767,73,575,46,528], // EMPTY SET 0x2207: [686,24,958,56,901], // NABLA 0x2208: [587,86,767,97,670], // ELEMENT OF 0x2209: [711,210,767,97,670], // stix-negated (vert) set membership, variant - 0x220B: [588,86,767,95,670], // CONTAINS AS MEMBER + 0x220B: [587,86,767,96,670], // CONTAINS AS MEMBER 0x2212: [281,-221,894,96,797], // MINUS SIGN 0x2213: [537,227,894,64,829], // MINUS-OR-PLUS SIGN 0x2215: [750,250,575,63,511], // DIVISION SLASH 0x2216: [750,250,575,63,511], // SET MINUS - 0x2217: [472,-27,575,73,501], // ASTERISK OPERATOR + 0x2217: [472,-28,575,73,501], // ASTERISK OPERATOR 0x2218: [474,-28,575,64,510], // RING OPERATOR 0x2219: [474,-28,575,64,510], // BULLET OPERATOR - 0x221A: [820,180,958,78,989], // SQUARE ROOT - 0x221D: [451,8,894,65,831], // PROPORTIONAL TO + 0x221A: [820,180,958,78,988], // SQUARE ROOT + 0x221D: [451,8,894,65,830], // PROPORTIONAL TO 0x221E: [452,8,1150,65,1084], // INFINITY - 0x2220: [715,0,722,55,676], // ANGLE + 0x2220: [714,0,722,55,676], // ANGLE 0x2223: [750,249,319,129,190], // DIVIDES 0x2225: [750,248,575,145,430], // PARALLEL TO 0x2227: [604,17,767,64,702], // LOGICAL AND - 0x2228: [604,17,767,64,702], // LOGICAL OR + 0x2228: [604,16,767,64,702], // LOGICAL OR 0x2229: [603,16,767,64,702], // stix-intersection, serifs 0x222A: [604,16,767,64,702], // stix-union, serifs 0x222B: [711,211,569,64,632], // INTEGRAL @@ -54,18 +54,18 @@ MathJax.Hub.Insert( 0x2248: [524,-32,894,64,829], // ALMOST EQUAL TO 0x224D: [533,32,894,64,829], // EQUIVALENT TO 0x2250: [721,-109,894,64,829], // APPROACHES THE LIMIT - 0x2260: [712,210,894,64,830], // stix-not (vert) equals + 0x2260: [711,210,894,64,829], // stix-not (vert) equals 0x2261: [505,3,894,64,829], // IDENTICAL TO 0x2264: [697,199,894,96,797], // LESS-THAN OR EQUAL TO 0x2265: [697,199,894,96,797], // GREATER-THAN OR EQUAL TO - 0x226A: [618,117,1150,64,1085], // MUCH LESS-THAN - 0x226B: [619,116,1150,64,1085], // MUCH GREATER-THAN - 0x227A: [585,86,894,95,797], // PRECEDES + 0x226A: [617,116,1150,64,1085], // MUCH LESS-THAN + 0x226B: [618,116,1150,64,1085], // MUCH GREATER-THAN + 0x227A: [585,86,894,96,797], // PRECEDES 0x227B: [586,86,894,96,797], // SUCCEEDS 0x2282: [587,85,894,96,797], // SUBSET OF - 0x2283: [587,86,894,96,797], // SUPERSET OF + 0x2283: [587,86,894,96,796], // SUPERSET OF 0x2286: [697,199,894,96,797], // SUBSET OF OR EQUAL TO - 0x2287: [697,199,894,96,797], // SUPERSET OF OR EQUAL TO + 0x2287: [697,199,894,96,796], // SUPERSET OF OR EQUAL TO 0x228E: [604,16,767,64,702], // MULTISET UNION 0x2291: [697,199,894,96,828], // SQUARE IMAGE OF OR EQUAL TO 0x2292: [697,199,894,66,797], // SQUARE ORIGINAL OF OR EQUAL TO @@ -79,12 +79,12 @@ MathJax.Hub.Insert( 0x22A2: [693,-1,703,65,637], // RIGHT TACK 0x22A3: [693,-1,703,64,638], // LEFT TACK 0x22A4: [694,-1,894,64,829], // DOWN TACK - 0x22A5: [693,-1,894,64,829], // UP TACK + 0x22A5: [693,-1,894,65,829], // UP TACK 0x22A8: [750,249,974,129,918], // TRUE - 0x22C4: [524,21,575,15,561], // DIAMOND OPERATOR + 0x22C4: [523,21,575,15,560], // DIAMOND OPERATOR 0x22C5: [336,-166,319,74,245], // DOT OPERATOR - 0x22C6: [502,1,575,24,551], // STAR OPERATOR - 0x22C8: [541,39,1000,33,967], // BOWTIE + 0x22C6: [502,0,575,24,550], // STAR OPERATOR + 0x22C8: [540,39,1000,33,967], // BOWTIE 0x22EE: [951,29,319,74,245], // VERTICAL ELLIPSIS 0x22EF: [336,-166,1295,74,1221], // MIDLINE HORIZONTAL ELLIPSIS 0x22F1: [871,-101,1323,129,1194] // DOWN RIGHT DIAGONAL ELLIPSIS diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,13 +21,13 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { - 0x2660: [720,130,894,63,829], // BLACK SPADE SUIT + 0x2660: [719,129,894,64,829], // BLACK SPADE SUIT 0x2661: [711,24,894,65,828], // WHITE HEART SUIT 0x2662: [719,154,894,64,828], // WHITE DIAMOND SUIT - 0x2663: [720,130,894,32,861], // BLACK CLUB SUIT - 0x266D: [750,17,447,63,382], // MUSIC FLAT SIGN - 0x266E: [741,223,447,56,390], // MUSIC NATURAL SIGN - 0x266F: [724,224,447,63,383] // MUSIC SHARP SIGN + 0x2663: [719,129,894,32,861], // BLACK CLUB SUIT + 0x266D: [750,17,447,64,381], // MUSIC FLAT SIGN + 0x266E: [741,223,447,57,389], // MUSIC NATURAL SIGN + 0x266F: [724,224,447,63,382] // MUSIC SHARP SIGN } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,8 +25,8 @@ MathJax.Hub.Insert( 0x2309: [750,248,511,17,317], // RIGHT CEILING 0x230A: [749,248,511,194,493], // LEFT FLOOR 0x230B: [749,248,511,17,317], // RIGHT FLOOR - 0x2322: [405,-108,1150,64,1084], // stix-small down curve - 0x2323: [393,-126,1150,64,1085] // stix-small up curve + 0x2322: [405,-108,1150,65,1084], // stix-small down curve + 0x2323: [392,-126,1150,64,1085] // stix-small up curve } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -28,8 +28,8 @@ MathJax.Hub.Insert( 0x2CB: [706,-503,575,114,338], // MODIFIER LETTER GRAVE ACCENT 0x2D8: [694,-500,575,102,472], // BREVE 0x2D9: [695,-525,575,202,372], // DOT ABOVE - 0x2DA: [703,-536,575,160,414], // RING ABOVE - 0x2DC: [694,-551,575,96,478] // SMALL TILDE + 0x2DA: [702,-536,575,160,414], // RING ABOVE + 0x2DC: [694,-552,575,96,478] // SMALL TILDE } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,9 +21,9 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { - 0x2A3F: [687,1,900,38,861], // AMALGAMATION OR COPRODUCT + 0x2A3F: [686,0,900,39,860], // AMALGAMATION OR COPRODUCT 0x2AAF: [696,199,894,96,797], // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN - 0x2AB0: [698,199,894,96,797] // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN + 0x2AB0: [697,199,894,96,797] // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,13 +21,13 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-bold'], { - 0x27F5: [519,18,1805,64,1741], // LONG LEFTWARDS ARROW - 0x27F6: [519,18,1833,96,1774], // LONG RIGHTWARDS ARROW - 0x27F7: [519,18,2126,64,2062], // LONG LEFT RIGHT ARROW - 0x27F8: [548,46,1868,64,1804], // LONG LEFTWARDS DOUBLE ARROW - 0x27F9: [548,47,1870,63,1804], // LONG RIGHTWARDS DOUBLE ARROW - 0x27FA: [548,47,2126,64,2060], // LONG LEFT RIGHT DOUBLE ARROW - 0x27FC: [519,18,1833,65,1774] // LONG RIGHTWARDS ARROW FROM BAR + 0x27F5: [518,17,1805,64,1741], // LONG LEFTWARDS ARROW + 0x27F6: [518,17,1833,96,1773], // LONG RIGHTWARDS ARROW + 0x27F7: [518,17,2126,64,2061], // LONG LEFT RIGHT ARROW + 0x27F8: [547,46,1868,64,1804], // LONG LEFTWARDS DOUBLE ARROW + 0x27F9: [547,46,1870,64,1804], // LONG RIGHTWARDS DOUBLE ARROW + 0x27FA: [547,46,2126,64,2060], // LONG LEFT RIGHT DOUBLE ARROW + 0x27FC: [518,17,1833,65,1773] // LONG RIGHTWARDS ARROW FROM BAR } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,13 +25,13 @@ MathJax.Hub.Insert( 0x301: [697,-500,0,-173,39], // COMBINING ACUTE ACCENT 0x302: [694,-527,0,-251,17], // COMBINING CIRCUMFLEX ACCENT 0x303: [668,-558,0,-265,60], // COMBINING TILDE - 0x304: [590,-544,0,-282,54], // COMBINING MACRON - 0x306: [695,-515,0,-237,62], // COMBINING BREVE + 0x304: [589,-544,0,-282,54], // COMBINING MACRON + 0x306: [694,-515,0,-237,62], // COMBINING BREVE 0x307: [669,-548,0,-165,-41], // COMBINING DOT ABOVE 0x308: [669,-554,0,-251,45], // COMBINING DIAERESIS 0x30A: [716,-542,0,-199,3], // COMBINING RING ABOVE 0x30B: [697,-503,0,-248,65], // COMBINING DOUBLE ACUTE ACCENT - 0x30C: [638,-501,0,-236,29] // COMBINING CARON + 0x30C: [638,-502,0,-236,29] // COMBINING CARON } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,11 +21,11 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-italic'], { - 0x2013: [286,-248,511,91,554], // EN DASH + 0x2013: [285,-248,511,91,554], // EN DASH 0x2014: [285,-248,1022,117,1038], // EM DASH 0x2018: [694,-379,307,197,362], // LEFT SINGLE QUOTATION MARK 0x2019: [694,-379,307,213,377], // RIGHT SINGLE QUOTATION MARK - 0x201C: [694,-378,514,243,606], // LEFT DOUBLE QUOTATION MARK + 0x201C: [694,-379,514,243,606], // LEFT DOUBLE QUOTATION MARK 0x201D: [694,-379,514,176,538] // RIGHT DOUBLE QUOTATION MARK } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-italic'] = { directory: 'Main/Italic', family: 'MathJax_Main', style: 'italic', - testString: "MathJax Main", + testString: "MathJax Main ^ \u210F \u2223", Ranges: [ [0xA0,0xFF,"Latin1Supplement"], [0x300,0x36F,"CombDiacritMarks"], @@ -33,101 +33,101 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main-italic'] = { 0x21: [716,0,307,107,380], // EXCLAMATION MARK 0x22: [694,-379,514,176,538], // QUOTATION MARK 0x23: [694,194,818,115,828], // NUMBER SIGN - 0x25: [751,56,818,144,848], // PERCENT SIGN + 0x25: [750,56,818,145,847], // PERCENT SIGN 0x26: [716,22,767,127,802], // AMPERSAND 0x27: [694,-379,307,213,377], // APOSTROPHE 0x28: [750,250,409,144,517], // LEFT PARENTHESIS 0x29: [750,250,409,17,390], // RIGHT PARENTHESIS - 0x2A: [751,-320,511,195,584], // ASTERISK - 0x2B: [558,57,767,139,753], // PLUS SIGN - 0x2C: [121,194,307,69,233], // COMMA - 0x2D: [251,-179,358,84,341], // HYPHEN-MINUS + 0x2A: [750,-320,511,195,584], // ASTERISK + 0x2B: [557,57,767,139,753], // PLUS SIGN + 0x2C: [121,194,307,69,232], // COMMA + 0x2D: [251,-180,358,84,341], // HYPHEN-MINUS 0x2E: [121,0,307,107,231], // FULL STOP 0x2F: [750,250,511,19,617], // SOLIDUS 0x30: [665,21,511,110,562], // DIGIT ZERO 0x31: [666,0,511,110,468], // DIGIT ONE 0x32: [666,22,511,76,551], // DIGIT TWO - 0x33: [667,22,511,96,563], // DIGIT THREE - 0x34: [666,194,511,46,479], // DIGIT FOUR + 0x33: [666,22,511,96,562], // DIGIT THREE + 0x34: [666,194,511,46,478], // DIGIT FOUR 0x35: [666,22,511,106,567], // DIGIT FIVE - 0x36: [665,22,511,120,566], // DIGIT SIX + 0x36: [665,22,511,120,565], // DIGIT SIX 0x37: [666,22,511,136,634], // DIGIT SEVEN 0x38: [666,21,511,99,553], // DIGIT EIGHT 0x39: [666,22,511,107,553], // DIGIT NINE 0x3A: [431,0,307,107,308], // COLON 0x3B: [431,194,307,70,308], // SEMICOLON 0x3D: [367,-133,767,116,776], // EQUALS SIGN - 0x3F: [717,0,511,195,551], // QUESTION MARK + 0x3F: [716,0,511,195,551], // QUESTION MARK 0x40: [705,11,767,152,789], // COMMERCIAL AT - 0x41: [716,1,743,58,696], // LATIN CAPITAL LETTER A - 0x42: [683,1,704,57,732], // LATIN CAPITAL LETTER B + 0x41: [716,0,743,58,696], // LATIN CAPITAL LETTER A + 0x42: [683,0,704,57,732], // LATIN CAPITAL LETTER B 0x43: [705,21,716,150,812], // LATIN CAPITAL LETTER C - 0x44: [683,1,755,56,775], // LATIN CAPITAL LETTER D - 0x45: [681,0,678,54,743], // LATIN CAPITAL LETTER E - 0x46: [681,0,653,54,731], // LATIN CAPITAL LETTER F - 0x47: [705,22,774,149,812], // LATIN CAPITAL LETTER G + 0x44: [683,0,755,56,775], // LATIN CAPITAL LETTER D + 0x45: [680,0,678,54,743], // LATIN CAPITAL LETTER E + 0x46: [680,-1,653,54,731], // LATIN CAPITAL LETTER F + 0x47: [705,22,774,150,812], // LATIN CAPITAL LETTER G 0x48: [683,0,743,54,860], // LATIN CAPITAL LETTER H 0x49: [683,0,386,49,508], // LATIN CAPITAL LETTER I 0x4A: [683,21,525,78,622], // LATIN CAPITAL LETTER J 0x4B: [683,0,769,54,859], // LATIN CAPITAL LETTER K 0x4C: [683,0,627,54,628], // LATIN CAPITAL LETTER L - 0x4D: [684,0,897,58,1010], // LATIN CAPITAL LETTER M - 0x4E: [684,0,743,54,860], // LATIN CAPITAL LETTER N + 0x4D: [683,0,897,58,1010], // LATIN CAPITAL LETTER M + 0x4E: [683,0,743,54,860], // LATIN CAPITAL LETTER N 0x4F: [704,22,767,149,788], // LATIN CAPITAL LETTER O - 0x50: [684,0,678,55,729], // LATIN CAPITAL LETTER P + 0x50: [683,0,678,55,729], // LATIN CAPITAL LETTER P 0x51: [704,194,767,149,788], // LATIN CAPITAL LETTER Q 0x52: [683,22,729,55,723], // LATIN CAPITAL LETTER R - 0x53: [706,22,562,74,634], // LATIN CAPITAL LETTER S - 0x54: [678,0,716,171,807], // LATIN CAPITAL LETTER T - 0x55: [684,22,743,194,860], // LATIN CAPITAL LETTER U + 0x53: [705,22,562,74,633], // LATIN CAPITAL LETTER S + 0x54: [677,0,716,171,806], // LATIN CAPITAL LETTER T + 0x55: [683,22,743,194,860], // LATIN CAPITAL LETTER U 0x56: [683,22,743,205,868], // LATIN CAPITAL LETTER V 0x57: [683,22,999,205,1124], // LATIN CAPITAL LETTER W - 0x58: [684,0,743,50,826], // LATIN CAPITAL LETTER X - 0x59: [684,0,743,198,875], // LATIN CAPITAL LETTER Y - 0x5A: [683,1,613,80,705], // LATIN CAPITAL LETTER Z - 0x5B: [751,251,307,73,446], // LEFT SQUARE BRACKET - 0x5D: [751,251,307,-14,359], // RIGHT SQUARE BRACKET + 0x58: [683,0,743,50,825], // LATIN CAPITAL LETTER X + 0x59: [683,0,743,198,875], // LATIN CAPITAL LETTER Y + 0x5A: [683,0,613,80,704], // LATIN CAPITAL LETTER Z + 0x5B: [750,250,307,73,446], // LEFT SQUARE BRACKET + 0x5D: [750,250,307,-14,359], // RIGHT SQUARE BRACKET 0x5E: [694,-527,511,260,528], // CIRCUMFLEX ACCENT - 0x5F: [-24,62,511,91,554], // LOW LINE + 0x5F: [-25,62,511,91,554], // LOW LINE 0x61: [442,11,511,101,543], // LATIN SMALL LETTER A 0x62: [694,11,460,108,467], // LATIN SMALL LETTER B - 0x63: [441,10,460,103,470], // LATIN SMALL LETTER C - 0x64: [694,11,511,100,567], // LATIN SMALL LETTER D + 0x63: [441,10,460,103,469], // LATIN SMALL LETTER C + 0x64: [694,11,511,101,567], // LATIN SMALL LETTER D 0x65: [442,10,460,107,470], // LATIN SMALL LETTER E 0x66: [705,204,307,-23,450], // LATIN SMALL LETTER F - 0x67: [442,205,460,46,495], // LATIN SMALL LETTER G - 0x68: [695,11,511,69,544], // LATIN SMALL LETTER H + 0x67: [442,205,460,46,494], // LATIN SMALL LETTER G + 0x68: [694,11,511,69,544], // LATIN SMALL LETTER H 0x69: [656,10,307,75,340], // LATIN SMALL LETTER I 0x6A: [656,204,307,-32,364], // LATIN SMALL LETTER J - 0x6B: [694,11,460,69,499], // LATIN SMALL LETTER K + 0x6B: [694,11,460,69,498], // LATIN SMALL LETTER K 0x6C: [694,11,256,87,312], // LATIN SMALL LETTER L - 0x6D: [443,11,818,75,851], // LATIN SMALL LETTER M - 0x6E: [443,11,562,75,595], // LATIN SMALL LETTER N + 0x6D: [442,11,818,75,851], // LATIN SMALL LETTER M + 0x6E: [442,11,562,75,595], // LATIN SMALL LETTER N 0x6F: [442,11,511,103,517], // LATIN SMALL LETTER O - 0x70: [442,194,511,5,518], // LATIN SMALL LETTER P - 0x71: [442,195,460,100,504], // LATIN SMALL LETTER Q + 0x70: [442,194,511,6,518], // LATIN SMALL LETTER P + 0x71: [442,194,460,101,504], // LATIN SMALL LETTER Q 0x72: [442,11,422,75,484], // LATIN SMALL LETTER R 0x73: [442,11,409,76,418], // LATIN SMALL LETTER S - 0x74: [627,11,332,87,373], // LATIN SMALL LETTER T + 0x74: [626,11,332,87,373], // LATIN SMALL LETTER T 0x75: [441,11,537,75,570], // LATIN SMALL LETTER U 0x76: [443,10,460,75,492], // LATIN SMALL LETTER V - 0x77: [443,12,664,74,696], // LATIN SMALL LETTER W + 0x77: [443,11,664,75,696], // LATIN SMALL LETTER W 0x78: [442,11,464,58,513], // LATIN SMALL LETTER X - 0x79: [441,206,486,75,522], // LATIN SMALL LETTER Y + 0x79: [441,205,486,75,522], // LATIN SMALL LETTER Y 0x7A: [442,11,409,54,466], // LATIN SMALL LETTER Z 0x7E: [318,-208,511,246,571], // TILDE - 0xA3: [714,11,769,87,699], // POUND SIGN + 0xA3: [714,11,769,88,699], // POUND SIGN 0x131: [441,10,307,75,340], // LATIN SMALL LETTER DOTLESS I - 0x237: [442,205,332,-32,327], // LATIN SMALL LETTER DOTLESS J - 0x393: [680,0,627,54,706], // GREEK CAPITAL LETTER GAMMA - 0x394: [717,1,818,70,751], // GREEK CAPITAL LETTER DELTA + 0x237: [442,204,332,-32,327], // LATIN SMALL LETTER DOTLESS J + 0x393: [680,0,627,54,705], // GREEK CAPITAL LETTER GAMMA + 0x394: [716,0,818,70,751], // GREEK CAPITAL LETTER DELTA 0x398: [704,22,767,149,788], // GREEK CAPITAL LETTER THETA - 0x39B: [717,0,692,58,646], // GREEK CAPITAL LETTER LAMDA - 0x39E: [678,1,664,74,754], // GREEK CAPITAL LETTER XI + 0x39B: [716,0,692,58,646], // GREEK CAPITAL LETTER LAMDA + 0x39E: [677,0,664,74,754], // GREEK CAPITAL LETTER XI 0x3A0: [680,0,743,54,859], // GREEK CAPITAL LETTER PI - 0x3A3: [683,1,716,80,782], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [706,0,767,213,833], // GREEK CAPITAL LETTER UPSILON - 0x3A6: [683,1,716,158,728], // GREEK CAPITAL LETTER PHI + 0x3A3: [683,0,716,80,782], // GREEK CAPITAL LETTER SIGMA + 0x3A5: [705,0,767,213,832], // GREEK CAPITAL LETTER UPSILON + 0x3A6: [683,0,716,159,728], // GREEK CAPITAL LETTER PHI 0x3A8: [683,0,767,207,824], // GREEK CAPITAL LETTER PSI 0x3A9: [705,0,716,100,759] // GREEK CAPITAL LETTER OMEGA }; diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = { directory: 'Main/Regular', family: 'MathJax_Main', - testString: "MathJax Main", + testString: "MathJax Main ^ \u210F \u2223", skew: { 0x131: 0.0278, 0x237: 0.0833, @@ -38,62 +38,62 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = { 0x20: [0,0,250,0,0], // SPACE 0x21: [716,-1,278,78,199], // EXCLAMATION MARK 0x22: [694,-379,500,34,372], // QUOTATION MARK - 0x23: [694,194,833,55,778], // NUMBER SIGN - 0x24: [750,56,500,54,444], // DOLLAR SIGN + 0x23: [694,194,833,56,777], // NUMBER SIGN + 0x24: [750,56,500,55,444], // DOLLAR SIGN 0x25: [750,56,833,56,776], // PERCENT SIGN - 0x26: [717,22,778,42,727], // AMPERSAND + 0x26: [716,22,778,42,727], // AMPERSAND 0x27: [694,-379,278,78,212], // APOSTROPHE - 0x28: [751,251,389,94,333], // LEFT PARENTHESIS + 0x28: [750,250,389,94,333], // LEFT PARENTHESIS 0x29: [750,250,389,55,294], // RIGHT PARENTHESIS - 0x2A: [750,-319,500,64,435], // ASTERISK - 0x2B: [583,83,778,55,722], // PLUS SIGN + 0x2A: [750,-320,500,64,435], // ASTERISK + 0x2B: [583,82,778,56,722], // PLUS SIGN 0x2C: [121,194,278,78,210], // COMMA 0x2D: [252,-179,333,11,277], // HYPHEN-MINUS 0x2E: [120,0,278,78,199], // FULL STOP - 0x2F: [751,250,500,56,445], // SOLIDUS + 0x2F: [750,250,500,56,445], // SOLIDUS 0x30: [666,22,500,39,460], // DIGIT ZERO 0x31: [666,0,500,83,427], // DIGIT ONE - 0x32: [666,1,500,49,449], // DIGIT TWO - 0x33: [665,23,500,41,457], // DIGIT THREE + 0x32: [666,0,500,50,449], // DIGIT TWO + 0x33: [665,22,500,42,457], // DIGIT THREE 0x34: [677,0,500,28,471], // DIGIT FOUR - 0x35: [666,22,500,49,449], // DIGIT FIVE + 0x35: [666,22,500,50,449], // DIGIT FIVE 0x36: [666,22,500,42,456], // DIGIT SIX 0x37: [676,22,500,55,485], // DIGIT SEVEN 0x38: [666,22,500,43,457], // DIGIT EIGHT - 0x39: [666,22,500,41,456], // DIGIT NINE + 0x39: [666,22,500,42,456], // DIGIT NINE 0x3A: [430,0,278,78,199], // COLON 0x3B: [430,194,278,78,202], // SEMICOLON 0x3C: [540,40,778,83,694], // LESS-THAN SIGN - 0x3D: [367,-133,778,55,722], // EQUALS SIGN - 0x3E: [540,40,778,82,694], // GREATER-THAN SIGN - 0x3F: [706,-1,472,55,416], // QUESTION MARK + 0x3D: [367,-133,778,56,722], // EQUALS SIGN + 0x3E: [540,40,778,83,694], // GREATER-THAN SIGN + 0x3F: [705,-1,472,55,416], // QUESTION MARK 0x40: [705,11,778,56,722], // COMMERCIAL AT - 0x41: [717,0,750,32,717], // LATIN CAPITAL LETTER A - 0x42: [684,0,708,28,651], // LATIN CAPITAL LETTER B - 0x43: [706,21,722,56,666], // LATIN CAPITAL LETTER C + 0x41: [716,0,750,32,717], // LATIN CAPITAL LETTER A + 0x42: [683,0,708,28,651], // LATIN CAPITAL LETTER B + 0x43: [705,21,722,56,666], // LATIN CAPITAL LETTER C 0x44: [683,0,764,27,708], // LATIN CAPITAL LETTER D - 0x45: [680,0,681,24,652], // LATIN CAPITAL LETTER E - 0x46: [680,0,653,25,611], // LATIN CAPITAL LETTER F - 0x47: [706,22,785,56,735], // LATIN CAPITAL LETTER G + 0x45: [680,0,681,25,652], // LATIN CAPITAL LETTER E + 0x46: [680,0,653,25,610], // LATIN CAPITAL LETTER F + 0x47: [705,22,785,56,735], // LATIN CAPITAL LETTER G 0x48: [683,0,750,25,724], // LATIN CAPITAL LETTER H 0x49: [683,0,361,21,339], // LATIN CAPITAL LETTER I 0x4A: [683,22,514,25,465], // LATIN CAPITAL LETTER J - 0x4B: [683,0,778,24,736], // LATIN CAPITAL LETTER K + 0x4B: [683,0,778,25,736], // LATIN CAPITAL LETTER K 0x4C: [683,0,625,25,582], // LATIN CAPITAL LETTER L 0x4D: [683,0,917,29,887], // LATIN CAPITAL LETTER M 0x4E: [683,0,750,25,724], // LATIN CAPITAL LETTER N 0x4F: [705,22,778,56,722], // LATIN CAPITAL LETTER O - 0x50: [684,0,681,27,624], // LATIN CAPITAL LETTER P + 0x50: [683,0,681,27,624], // LATIN CAPITAL LETTER P 0x51: [705,193,778,56,728], // LATIN CAPITAL LETTER Q - 0x52: [684,22,736,27,732], // LATIN CAPITAL LETTER R - 0x53: [706,23,556,55,500], // LATIN CAPITAL LETTER S + 0x52: [683,22,736,27,732], // LATIN CAPITAL LETTER R + 0x53: [705,22,556,55,500], // LATIN CAPITAL LETTER S 0x54: [677,0,722,36,685], // LATIN CAPITAL LETTER T - 0x55: [684,22,750,25,724], // LATIN CAPITAL LETTER U - 0x56: [683,23,750,19,730], // LATIN CAPITAL LETTER V - 0x57: [683,23,1028,18,1009], // LATIN CAPITAL LETTER W - 0x58: [683,1,750,23,727], // LATIN CAPITAL LETTER X - 0x59: [684,0,750,11,738], // LATIN CAPITAL LETTER Y - 0x5A: [683,1,611,55,560], // LATIN CAPITAL LETTER Z + 0x55: [683,22,750,25,724], // LATIN CAPITAL LETTER U + 0x56: [683,22,750,19,730], // LATIN CAPITAL LETTER V + 0x57: [683,22,1028,18,1009], // LATIN CAPITAL LETTER W + 0x58: [683,0,750,23,726], // LATIN CAPITAL LETTER X + 0x59: [683,0,750,11,738], // LATIN CAPITAL LETTER Y + 0x5A: [683,0,611,55,560], // LATIN CAPITAL LETTER Z 0x5B: [750,250,278,118,255], // LEFT SQUARE BRACKET 0x5C: [750,250,500,56,444], // REVERSE SOLIDUS 0x5D: [750,250,278,22,159], // RIGHT SQUARE BRACKET @@ -105,40 +105,40 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = { 0x63: [448,11,444,34,415], // LATIN SMALL LETTER C 0x64: [694,11,556,34,535], // LATIN SMALL LETTER D 0x65: [448,11,444,28,415], // LATIN SMALL LETTER E - 0x66: [705,0,306,25,372], // LATIN SMALL LETTER F + 0x66: [705,0,306,26,372], // LATIN SMALL LETTER F 0x67: [453,206,500,29,485], // LATIN SMALL LETTER G - 0x68: [695,0,556,25,543], // LATIN SMALL LETTER H + 0x68: [694,0,556,25,542], // LATIN SMALL LETTER H 0x69: [669,0,278,26,255], // LATIN SMALL LETTER I 0x6A: [669,205,306,-55,218], // LATIN SMALL LETTER J - 0x6B: [695,0,528,20,512], // LATIN SMALL LETTER K + 0x6B: [694,0,528,20,511], // LATIN SMALL LETTER K 0x6C: [694,0,278,26,263], // LATIN SMALL LETTER L - 0x6D: [443,0,833,25,820], // LATIN SMALL LETTER M - 0x6E: [443,0,556,25,543], // LATIN SMALL LETTER N + 0x6D: [442,0,833,25,819], // LATIN SMALL LETTER M + 0x6E: [442,0,556,25,542], // LATIN SMALL LETTER N 0x6F: [448,10,500,28,471], // LATIN SMALL LETTER O - 0x70: [443,194,556,20,522], // LATIN SMALL LETTER P + 0x70: [442,194,556,20,522], // LATIN SMALL LETTER P 0x71: [442,194,528,33,535], // LATIN SMALL LETTER Q 0x72: [442,0,392,20,364], // LATIN SMALL LETTER R - 0x73: [449,12,394,32,359], // LATIN SMALL LETTER S - 0x74: [615,10,389,18,334], // LATIN SMALL LETTER T + 0x73: [448,11,394,33,359], // LATIN SMALL LETTER S + 0x74: [615,10,389,18,333], // LATIN SMALL LETTER T 0x75: [442,11,556,25,542], // LATIN SMALL LETTER U 0x76: [431,11,528,19,508], // LATIN SMALL LETTER V - 0x77: [432,12,722,18,704], // LATIN SMALL LETTER W - 0x78: [431,0,528,10,516], // LATIN SMALL LETTER X + 0x77: [431,11,722,18,703], // LATIN SMALL LETTER W + 0x78: [431,0,528,11,516], // LATIN SMALL LETTER X 0x79: [431,204,528,19,508], // LATIN SMALL LETTER Y 0x7A: [431,0,444,28,401], // LATIN SMALL LETTER Z - 0x7B: [750,250,500,64,434], // LEFT CURLY BRACKET - 0x7C: [750,250,278,119,159], // VERTICAL LINE - 0x7D: [750,250,500,64,435], // RIGHT CURLY BRACKET + 0x7B: [750,250,500,65,434], // LEFT CURLY BRACKET + 0x7C: [750,249,278,119,159], // VERTICAL LINE + 0x7D: [750,250,500,65,434], // RIGHT CURLY BRACKET 0x7E: [318,-215,500,83,416], // TILDE 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0xA8: [669,-554,500,95,404], // DIAERESIS - 0xAC: [356,-89,667,55,611], // NOT SIGN + 0xAC: [356,-89,667,56,611], // NOT SIGN 0xAF: [590,-544,500,69,430], // MACRON 0xB0: [715,-542,500,147,352], // DEGREE SIGN - 0xB1: [666,0,778,55,722], // PLUS-MINUS SIGN + 0xB1: [666,0,778,56,722], // PLUS-MINUS SIGN 0xB4: [699,-505,500,203,393], // ACUTE ACCENT - 0xD7: [491,-9,778,147,631], // MULTIPLICATION SIGN - 0xF7: [537,36,778,55,721], // DIVISION SIGN + 0xD7: [491,-9,778,147,630], // MULTIPLICATION SIGN + 0xF7: [537,36,778,56,721], // DIVISION SIGN 0x131: [442,0,278,26,255], // LATIN SMALL LETTER DOTLESS I 0x237: [442,205,306,-55,218], // LATIN SMALL LETTER DOTLESS J 0x2C6: [694,-531,500,112,387], // MODIFIER LETTER CIRCUMFLEX ACCENT @@ -149,17 +149,17 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = { 0x2D8: [694,-515,500,92,407], // BREVE 0x2D9: [669,-549,500,190,309], // DOT ABOVE 0x2DC: [668,-565,500,83,416], // SMALL TILDE - 0x393: [681,0,625,25,582], // GREEK CAPITAL LETTER GAMMA + 0x393: [680,0,625,25,582], // GREEK CAPITAL LETTER GAMMA 0x394: [716,0,833,46,786], // GREEK CAPITAL LETTER DELTA 0x398: [705,22,778,56,722], // GREEK CAPITAL LETTER THETA - 0x39B: [717,0,694,32,661], // GREEK CAPITAL LETTER LAMDA + 0x39B: [716,0,694,32,661], // GREEK CAPITAL LETTER LAMDA 0x39E: [677,0,667,42,624], // GREEK CAPITAL LETTER XI 0x3A0: [680,0,750,25,724], // GREEK CAPITAL LETTER PI - 0x3A3: [683,1,722,55,666], // GREEK CAPITAL LETTER SIGMA + 0x3A3: [683,0,722,55,666], // GREEK CAPITAL LETTER SIGMA 0x3A5: [705,0,778,55,722], // GREEK CAPITAL LETTER UPSILON 0x3A6: [683,0,722,56,665], // GREEK CAPITAL LETTER PHI - 0x3A8: [683,0,778,54,722], // GREEK CAPITAL LETTER PSI - 0x3A9: [704,1,722,44,677], // GREEK CAPITAL LETTER OMEGA + 0x3A8: [683,0,778,55,722], // GREEK CAPITAL LETTER PSI + 0x3A9: [704,0,722,44,677], // GREEK CAPITAL LETTER OMEGA 0x2002: [0,0,500,0,0], // ?? 0x2003: [0,0,999,0,0], // ?? 0x2004: [0,0,333,0,0], // ?? @@ -173,66 +173,66 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = { 0x2019: [694,-379,278,78,212], // RIGHT SINGLE QUOTATION MARK 0x201C: [694,-379,500,128,466], // LEFT DOUBLE QUOTATION MARK 0x201D: [694,-379,500,34,372], // RIGHT DOUBLE QUOTATION MARK - 0x2020: [705,217,444,55,390], // DAGGER - 0x2021: [705,206,444,55,389], // DOUBLE DAGGER + 0x2020: [705,216,444,55,389], // DAGGER + 0x2021: [705,205,444,55,389], // DOUBLE DAGGER 0x2026: [120,0,1172,78,1093], // HORIZONTAL ELLIPSIS 0x2032: [560,-43,275,30,262], // PRIME 0x20D7: [714,-516,0,-471,-29], // COMBINING RIGHT ARROW ABOVE 0x210F: [695,13,540,42,562], // stix-/hbar - Planck's over 2pi - 0x2111: [705,11,722,54,693], // BLACK-LETTER CAPITAL I - 0x2113: [706,20,417,6,398], // SCRIPT SMALL L + 0x2111: [705,10,722,55,693], // BLACK-LETTER CAPITAL I + 0x2113: [705,20,417,6,397], // SCRIPT SMALL L 0x2118: [453,216,636,67,625], // SCRIPT CAPITAL P - 0x211C: [717,22,722,40,716], // BLACK-LETTER CAPITAL R - 0x2135: [694,1,611,54,556], // ALEF SYMBOL - 0x2190: [511,12,1000,54,944], // LEFTWARDS ARROW - 0x2191: [694,194,500,17,483], // UPWARDS ARROW - 0x2192: [512,11,1000,55,945], // RIGHTWARDS ARROW + 0x211C: [716,22,722,40,715], // BLACK-LETTER CAPITAL R + 0x2135: [694,0,611,55,555], // ALEF SYMBOL + 0x2190: [511,11,1000,55,944], // LEFTWARDS ARROW + 0x2191: [694,193,500,17,483], // UPWARDS ARROW + 0x2192: [511,11,1000,56,944], // RIGHTWARDS ARROW 0x2193: [694,194,500,17,483], // DOWNWARDS ARROW - 0x2194: [511,11,1000,55,945], // LEFT RIGHT ARROW + 0x2194: [511,11,1000,55,944], // LEFT RIGHT ARROW 0x2195: [772,272,500,17,483], // UP DOWN ARROW - 0x2196: [720,196,1000,29,944], // NORTH WEST ARROW + 0x2196: [720,195,1000,29,944], // NORTH WEST ARROW 0x2197: [720,195,1000,55,970], // NORTH EAST ARROW 0x2198: [695,220,1000,55,970], // SOUTH EAST ARROW 0x2199: [695,220,1000,29,944], // SOUTH WEST ARROW - 0x21A6: [512,11,1000,54,945], // RIGHTWARDS ARROW FROM BAR - 0x21A9: [511,12,1126,54,1070], // LEFTWARDS ARROW WITH HOOK - 0x21AA: [512,11,1126,55,1071], // RIGHTWARDS ARROW WITH HOOK + 0x21A6: [511,11,1000,55,944], // RIGHTWARDS ARROW FROM BAR + 0x21A9: [511,11,1126,55,1070], // LEFTWARDS ARROW WITH HOOK + 0x21AA: [511,11,1126,55,1070], // RIGHTWARDS ARROW WITH HOOK 0x21BC: [511,-230,1000,55,944], // LEFTWARDS HARPOON WITH BARB UPWARDS 0x21BD: [270,11,1000,55,944], // LEFTWARDS HARPOON WITH BARB DOWNWARDS - 0x21C0: [511,-230,1000,55,944], // RIGHTWARDS HARPOON WITH BARB UPWARDS - 0x21C1: [270,11,1000,55,945], // RIGHTWARDS HARPOON WITH BARB DOWNWARDS + 0x21C0: [511,-230,1000,56,944], // RIGHTWARDS HARPOON WITH BARB UPWARDS + 0x21C1: [270,11,1000,56,944], // RIGHTWARDS HARPOON WITH BARB DOWNWARDS 0x21CC: [671,11,1000,55,944], // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON - 0x21D0: [525,24,1000,55,944], // LEFTWARDS DOUBLE ARROW + 0x21D0: [525,24,1000,56,944], // LEFTWARDS DOUBLE ARROW 0x21D1: [694,194,611,31,579], // UPWARDS DOUBLE ARROW - 0x21D2: [525,25,1000,55,944], // RIGHTWARDS DOUBLE ARROW + 0x21D2: [525,24,1000,56,944], // RIGHTWARDS DOUBLE ARROW 0x21D3: [694,194,611,31,579], // DOWNWARDS DOUBLE ARROW - 0x21D4: [525,25,1000,34,966], // LEFT RIGHT DOUBLE ARROW - 0x21D5: [772,272,611,31,580], // UP DOWN DOUBLE ARROW + 0x21D4: [526,25,1000,34,966], // LEFT RIGHT DOUBLE ARROW + 0x21D5: [772,272,611,31,579], // UP DOWN DOUBLE ARROW 0x2200: [694,22,556,0,556], // FOR ALL - 0x2202: [715,22,531,41,566], // PARTIAL DIFFERENTIAL - 0x2203: [694,0,556,55,500], // THERE EXISTS + 0x2202: [715,22,531,42,566], // PARTIAL DIFFERENTIAL + 0x2203: [694,0,556,56,500], // THERE EXISTS 0x2205: [772,78,500,39,460], // EMPTY SET 0x2207: [683,33,833,46,786], // NABLA - 0x2208: [541,41,667,84,584], // ELEMENT OF - 0x2209: [716,215,667,84,584], // stix-negated (vert) set membership, variant - 0x220B: [541,40,667,83,582], // CONTAINS AS MEMBER - 0x2212: [270,-230,778,83,694], // MINUS SIGN - 0x2213: [500,167,778,55,722], // MINUS-OR-PLUS SIGN - 0x2215: [751,250,500,56,445], // DIVISION SLASH + 0x2208: [540,40,667,84,583], // ELEMENT OF + 0x2209: [716,215,667,84,583], // stix-negated (vert) set membership, variant + 0x220B: [540,40,667,83,582], // CONTAINS AS MEMBER + 0x2212: [270,-230,778,84,694], // MINUS SIGN + 0x2213: [500,166,778,56,722], // MINUS-OR-PLUS SIGN + 0x2215: [750,250,500,56,445], // DIVISION SLASH 0x2216: [750,250,500,56,444], // SET MINUS - 0x2217: [465,-34,500,64,435], // ASTERISK OPERATOR + 0x2217: [465,-35,500,64,435], // ASTERISK OPERATOR 0x2218: [444,-55,500,55,444], // RING OPERATOR 0x2219: [444,-55,500,55,444], // BULLET OPERATOR 0x221A: [800,200,833,72,853], // SQUARE ROOT 0x221D: [442,11,778,56,722], // PROPORTIONAL TO 0x221E: [442,11,1000,55,944], // INFINITY 0x2220: [694,0,722,55,666], // ANGLE - 0x2223: [750,250,278,119,159], // DIVIDES + 0x2223: [750,249,278,119,159], // DIVIDES 0x2225: [750,250,500,132,367], // PARALLEL TO 0x2227: [598,22,667,55,611], // LOGICAL AND 0x2228: [598,22,667,55,611], // LOGICAL OR 0x2229: [598,22,667,55,611], // stix-intersection, serifs - 0x222A: [599,22,667,55,611], // stix-union, serifs + 0x222A: [598,22,667,55,611], // stix-union, serifs 0x222B: [716,216,417,55,472], // INTEGRAL 0x223C: [367,-133,778,55,722], // TILDE OPERATOR 0x2240: [583,83,278,55,222], // WREATH PRODUCT @@ -240,22 +240,22 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = { 0x2245: [589,-22,1000,55,722], // APPROXIMATELY EQUAL TO 0x2248: [483,-55,778,55,722], // ALMOST EQUAL TO 0x224D: [484,-16,778,55,722], // EQUIVALENT TO - 0x2250: [670,-133,778,55,722], // APPROACHES THE LIMIT - 0x2260: [716,215,778,55,722], // stix-not (vert) equals - 0x2261: [464,-36,778,55,722], // IDENTICAL TO + 0x2250: [670,-133,778,56,722], // APPROACHES THE LIMIT + 0x2260: [716,215,778,56,722], // stix-not (vert) equals + 0x2261: [464,-36,778,56,722], // IDENTICAL TO 0x2264: [636,138,778,83,694], // LESS-THAN OR EQUAL TO - 0x2265: [636,138,778,82,694], // GREATER-THAN OR EQUAL TO - 0x226A: [568,68,1000,56,944], // MUCH LESS-THAN - 0x226B: [567,67,1000,55,945], // MUCH GREATER-THAN - 0x227A: [539,41,778,84,695], // PRECEDES + 0x2265: [636,138,778,83,694], // GREATER-THAN OR EQUAL TO + 0x226A: [568,67,1000,56,944], // MUCH LESS-THAN + 0x226B: [567,67,1000,55,944], // MUCH GREATER-THAN + 0x227A: [539,41,778,84,694], // PRECEDES 0x227B: [539,41,778,83,694], // SUCCEEDS - 0x2282: [540,41,778,84,695], // SUBSET OF - 0x2283: [541,40,778,82,693], // SUPERSET OF - 0x2286: [636,139,778,84,695], // SUBSET OF OR EQUAL TO - 0x2287: [637,138,778,83,693], // SUPERSET OF OR EQUAL TO - 0x228E: [599,22,667,55,611], // MULTISET UNION - 0x2291: [636,138,778,83,714], // SQUARE IMAGE OF OR EQUAL TO - 0x2292: [636,138,778,63,694], // SQUARE ORIGINAL OF OR EQUAL TO + 0x2282: [540,40,778,84,694], // SUBSET OF + 0x2283: [540,40,778,83,693], // SUPERSET OF + 0x2286: [636,138,778,84,694], // SUBSET OF OR EQUAL TO + 0x2287: [636,138,778,83,693], // SUPERSET OF OR EQUAL TO + 0x228E: [598,22,667,55,611], // MULTISET UNION + 0x2291: [636,138,778,84,714], // SQUARE IMAGE OF OR EQUAL TO + 0x2292: [636,138,778,64,694], // SQUARE ORIGINAL OF OR EQUAL TO 0x2293: [598,0,667,61,605], // stix-square intersection, serifs 0x2294: [598,0,667,61,605], // stix-square union, serifs 0x2295: [583,83,778,56,722], // stix-circled plus (with rim) @@ -267,35 +267,35 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'] = { 0x22A3: [694,0,611,55,555], // LEFT TACK 0x22A4: [668,0,778,55,723], // DOWN TACK 0x22A5: [668,0,778,55,723], // UP TACK - 0x22A8: [750,250,867,119,811], // TRUE + 0x22A8: [750,249,867,119,811], // TRUE 0x22C4: [488,-12,500,12,488], // DIAMOND OPERATOR 0x22C5: [310,-190,278,78,199], // DOT OPERATOR 0x22C6: [486,-16,500,3,497], // STAR OPERATOR - 0x22C8: [505,6,900,25,873], // BOWTIE + 0x22C8: [505,5,900,26,873], // BOWTIE 0x22EE: [900,30,278,78,199], // VERTICAL ELLIPSIS 0x22EF: [310,-190,1172,78,1093], // MIDLINE HORIZONTAL ELLIPSIS 0x22F1: [820,-100,1282,133,1148], // DOWN RIGHT DIAGONAL ELLIPSIS - 0x2308: [751,250,444,174,422], // LEFT CEILING - 0x2309: [751,250,444,21,269], // RIGHT CEILING - 0x230A: [750,251,444,174,422], // LEFT FLOOR - 0x230B: [751,251,444,20,269], // RIGHT FLOOR + 0x2308: [750,250,444,174,422], // LEFT CEILING + 0x2309: [750,250,444,21,269], // RIGHT CEILING + 0x230A: [750,250,444,174,422], // LEFT FLOOR + 0x230B: [750,250,444,21,269], // RIGHT FLOOR 0x2322: [388,-122,1000,55,944], // stix-small down curve 0x2323: [378,-134,1000,55,944], // stix-small up curve - 0x23B0: [744,245,412,55,357], // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION - 0x23B1: [745,244,412,55,357], // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION + 0x23B0: [744,244,412,55,357], // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION + 0x23B1: [744,244,412,56,357], // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION 0x27E8: [750,250,389,110,333], // MATHEMATICAL LEFT ANGLE BRACKET 0x27E9: [750,250,389,55,278], // MATHEMATICAL RIGHT ANGLE BRACKET - 0x27EE: [744,245,412,173,357], // MATHEMATICAL LEFT FLATTENED PARENTHESIS - 0x27EF: [744,245,412,55,240], // MATHEMATICAL RIGHT FLATTENED PARENTHESIS - 0x27F5: [511,12,1609,54,1525], // LONG LEFTWARDS ARROW - 0x27F6: [512,11,1638,83,1554], // LONG RIGHTWARDS ARROW - 0x27F7: [512,12,1859,54,1804], // LONG LEFT RIGHT ARROW - 0x27F8: [525,24,1609,55,1553], // LONG LEFTWARDS DOUBLE ARROW - 0x27F9: [525,25,1638,55,1582], // LONG RIGHTWARDS DOUBLE ARROW - 0x27FA: [525,24,1858,55,1802], // LONG LEFT RIGHT DOUBLE ARROW - 0x27FC: [512,11,1638,54,1554], // LONG RIGHTWARDS ARROW FROM BAR - 0x2A3F: [684,0,750,28,721], // AMALGAMATION OR COPRODUCT - 0x2AAF: [636,138,778,83,695], // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN + 0x27EE: [744,244,412,173,357], // MATHEMATICAL LEFT FLATTENED PARENTHESIS + 0x27EF: [744,244,412,56,240], // MATHEMATICAL RIGHT FLATTENED PARENTHESIS + 0x27F5: [511,11,1609,55,1525], // LONG LEFTWARDS ARROW + 0x27F6: [511,11,1638,84,1553], // LONG RIGHTWARDS ARROW + 0x27F7: [511,11,1859,55,1803], // LONG LEFT RIGHT ARROW + 0x27F8: [525,24,1609,56,1553], // LONG LEFTWARDS DOUBLE ARROW + 0x27F9: [525,24,1638,56,1582], // LONG RIGHTWARDS DOUBLE ARROW + 0x27FA: [525,24,1858,56,1802], // LONG LEFT RIGHT DOUBLE ARROW + 0x27FC: [511,11,1638,55,1553], // LONG RIGHTWARDS ARROW FROM BAR + 0x2A3F: [683,0,750,28,721], // AMALGAMATION OR COPRODUCT + 0x2AAF: [636,138,778,84,694], // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN 0x2AB0: [636,138,778,83,694] // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN }; diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,13 +21,13 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Main'], { - 0x2660: [727,131,778,55,723], // BLACK SPADE SUIT + 0x2660: [727,130,778,55,723], // BLACK SPADE SUIT 0x2661: [716,33,778,55,723], // WHITE HEART SUIT - 0x2662: [727,163,778,55,723], // WHITE DIAMOND SUIT - 0x2663: [726,131,778,28,750], // BLACK CLUB SUIT - 0x266D: [751,22,389,54,333], // MUSIC FLAT SIGN + 0x2662: [727,162,778,55,723], // WHITE DIAMOND SUIT + 0x2663: [726,130,778,28,750], // BLACK CLUB SUIT + 0x266D: [750,22,389,55,332], // MUSIC FLAT SIGN 0x266E: [734,223,389,65,324], // MUSIC NATURAL SIGN - 0x266F: [723,223,389,54,334] // MUSIC SHARP SIGN + 0x266F: [723,223,389,55,333] // MUSIC SHARP SIGN } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -23,7 +23,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-bold-italic'] = { family: 'MathJax_Math', weight: 'bold', style: 'italic', - testString: "MathJax Math", + testString: "MathJax Math \u03A5", skew: { 0x41: 0.16, 0x42: 0.0958, @@ -104,100 +104,100 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-bold-italic'] = { }, 0x20: [0,0,250,0,0], // SPACE 0x2F: [711,210,894,160,733], // SOLIDUS - 0x41: [712,0,869,45,839], // LATIN CAPITAL LETTER A - 0x42: [687,0,866,43,853], // LATIN CAPITAL LETTER B - 0x43: [703,17,817,54,855], // LATIN CAPITAL LETTER C + 0x41: [711,0,869,45,839], // LATIN CAPITAL LETTER A + 0x42: [686,0,866,43,853], // LATIN CAPITAL LETTER B + 0x43: [703,17,817,55,855], // LATIN CAPITAL LETTER C 0x44: [686,0,938,43,914], // LATIN CAPITAL LETTER D - 0x45: [681,0,810,43,825], // LATIN CAPITAL LETTER E - 0x46: [681,0,689,43,810], // LATIN CAPITAL LETTER F + 0x45: [680,0,810,43,825], // LATIN CAPITAL LETTER E + 0x46: [680,0,689,43,809], // LATIN CAPITAL LETTER F 0x47: [703,16,887,56,854], // LATIN CAPITAL LETTER G 0x48: [686,0,982,43,1027], // LATIN CAPITAL LETTER H - 0x49: [686,0,511,30,574], // LATIN CAPITAL LETTER I + 0x49: [686,0,511,30,573], // LATIN CAPITAL LETTER I 0x4A: [686,17,631,42,694], // LATIN CAPITAL LETTER J 0x4B: [686,0,971,43,1003], // LATIN CAPITAL LETTER K 0x4C: [686,0,756,43,711], // LATIN CAPITAL LETTER L - 0x4D: [687,1,1142,43,1220], // LATIN CAPITAL LETTER M - 0x4E: [687,1,950,43,1028], // LATIN CAPITAL LETTER N + 0x4D: [686,0,1142,43,1219], // LATIN CAPITAL LETTER M + 0x4E: [686,0,950,43,1027], // LATIN CAPITAL LETTER N 0x4F: [703,17,837,53,815], // LATIN CAPITAL LETTER O - 0x50: [686,0,723,42,847], // LATIN CAPITAL LETTER P + 0x50: [686,0,723,43,847], // LATIN CAPITAL LETTER P 0x51: [703,194,869,53,815], // LATIN CAPITAL LETTER Q - 0x52: [687,17,872,43,881], // LATIN CAPITAL LETTER R - 0x53: [703,18,693,63,714], // LATIN CAPITAL LETTER S - 0x54: [675,1,637,22,773], // LATIN CAPITAL LETTER T - 0x55: [687,16,800,63,877], // LATIN CAPITAL LETTER U - 0x56: [686,17,678,62,886], // LATIN CAPITAL LETTER V - 0x57: [687,18,1093,60,1207], // LATIN CAPITAL LETTER W - 0x58: [686,1,947,38,953], // LATIN CAPITAL LETTER X - 0x59: [686,0,675,39,876], // LATIN CAPITAL LETTER Y - 0x5A: [686,1,773,68,805], // LATIN CAPITAL LETTER Z - 0x61: [452,8,633,37,607], // LATIN SMALL LETTER A - 0x62: [694,8,521,44,513], // LATIN SMALL LETTER B + 0x52: [686,17,872,43,881], // LATIN CAPITAL LETTER R + 0x53: [703,17,693,63,714], // LATIN CAPITAL LETTER S + 0x54: [675,0,637,22,772], // LATIN CAPITAL LETTER T + 0x55: [686,16,800,63,877], // LATIN CAPITAL LETTER U + 0x56: [686,16,678,62,886], // LATIN CAPITAL LETTER V + 0x57: [686,17,1093,61,1207], // LATIN CAPITAL LETTER W + 0x58: [686,0,947,38,953], // LATIN CAPITAL LETTER X + 0x59: [686,0,675,40,876], // LATIN CAPITAL LETTER Y + 0x5A: [686,0,773,68,805], // LATIN CAPITAL LETTER Z + 0x61: [452,8,633,38,607], // LATIN SMALL LETTER A + 0x62: [694,8,521,45,513], // LATIN SMALL LETTER B 0x63: [451,8,513,40,509], // LATIN SMALL LETTER C 0x64: [694,8,610,38,612], // LATIN SMALL LETTER D 0x65: [452,8,554,42,509], // LATIN SMALL LETTER E - 0x66: [701,201,568,64,625], // LATIN SMALL LETTER F + 0x66: [701,201,568,64,624], // LATIN SMALL LETTER F 0x67: [452,202,545,0,540], // LATIN SMALL LETTER G - 0x68: [694,8,668,44,642], // LATIN SMALL LETTER H + 0x68: [694,8,668,45,642], // LATIN SMALL LETTER H 0x69: [694,8,405,24,367], // LATIN SMALL LETTER I 0x6A: [694,202,471,-12,456], // LATIN SMALL LETTER J - 0x6B: [694,8,604,44,578], // LATIN SMALL LETTER K - 0x6C: [694,8,348,27,297], // LATIN SMALL LETTER L - 0x6D: [452,9,1032,24,1006], // LATIN SMALL LETTER M - 0x6E: [452,9,713,24,688], // LATIN SMALL LETTER N + 0x6B: [694,8,604,45,578], // LATIN SMALL LETTER K + 0x6C: [694,8,348,27,296], // LATIN SMALL LETTER L + 0x6D: [452,8,1032,24,1006], // LATIN SMALL LETTER M + 0x6E: [452,8,713,24,687], // LATIN SMALL LETTER N 0x6F: [452,8,585,39,576], // LATIN SMALL LETTER O 0x70: [452,194,601,-23,593], // LATIN SMALL LETTER P 0x71: [452,194,542,38,550], // LATIN SMALL LETTER Q 0x72: [452,8,529,24,500], // LATIN SMALL LETTER R - 0x73: [452,8,531,57,476], // LATIN SMALL LETTER S - 0x74: [644,7,415,21,387], // LATIN SMALL LETTER T + 0x73: [451,8,531,57,476], // LATIN SMALL LETTER S + 0x74: [643,7,415,21,387], // LATIN SMALL LETTER T 0x75: [452,8,681,24,655], // LATIN SMALL LETTER U 0x76: [453,8,567,24,540], // LATIN SMALL LETTER V - 0x77: [454,8,831,24,796], // LATIN SMALL LETTER W + 0x77: [453,8,831,24,796], // LATIN SMALL LETTER W 0x78: [452,8,659,43,599], // LATIN SMALL LETTER X 0x79: [452,202,590,24,587], // LATIN SMALL LETTER Y - 0x7A: [453,9,555,33,539], // LATIN SMALL LETTER Z + 0x7A: [452,8,555,34,539], // LATIN SMALL LETTER Z 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x393: [680,0,657,43,777], // GREEK CAPITAL LETTER GAMMA - 0x394: [712,0,958,59,904], // GREEK CAPITAL LETTER DELTA + 0x394: [711,0,958,59,904], // GREEK CAPITAL LETTER DELTA 0x398: [702,17,867,54,844], // GREEK CAPITAL LETTER THETA - 0x39B: [712,1,806,43,776], // GREEK CAPITAL LETTER LAMDA - 0x39E: [676,0,841,62,868], // GREEK CAPITAL LETTER XI + 0x39B: [711,0,806,44,776], // GREEK CAPITAL LETTER LAMDA + 0x39E: [675,0,841,62,867], // GREEK CAPITAL LETTER XI 0x3A0: [680,0,982,43,1026], // GREEK CAPITAL LETTER PI 0x3A3: [686,0,885,69,902], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [704,0,671,32,802], // GREEK CAPITAL LETTER UPSILON - 0x3A6: [687,0,767,29,737], // GREEK CAPITAL LETTER PHI - 0x3A8: [687,0,714,22,791], // GREEK CAPITAL LETTER PSI - 0x3A9: [703,1,879,93,886], // GREEK CAPITAL LETTER OMEGA + 0x3A5: [703,0,671,32,802], // GREEK CAPITAL LETTER UPSILON + 0x3A6: [686,0,767,29,737], // GREEK CAPITAL LETTER PHI + 0x3A8: [686,0,714,22,790], // GREEK CAPITAL LETTER PSI + 0x3A9: [703,0,879,93,886], // GREEK CAPITAL LETTER OMEGA 0x3B1: [452,8,761,39,712], // GREEK SMALL LETTER ALPHA - 0x3B2: [701,195,660,28,637], // GREEK SMALL LETTER BETA + 0x3B2: [701,194,660,28,637], // GREEK SMALL LETTER BETA 0x3B3: [451,211,590,5,617], // GREEK SMALL LETTER GAMMA 0x3B4: [725,8,522,39,513], // GREEK SMALL LETTER DELTA - 0x3B5: [461,17,529,35,481], // GREEK SMALL LETTER EPSILON + 0x3B5: [461,17,529,36,481], // GREEK SMALL LETTER EPSILON 0x3B6: [711,202,508,48,521], // GREEK SMALL LETTER ZETA - 0x3B7: [452,211,600,24,601], // GREEK SMALL LETTER ETA - 0x3B8: [702,8,562,39,554], // GREEK SMALL LETTER THETA - 0x3B9: [452,8,412,37,386], // GREEK SMALL LETTER IOTA + 0x3B7: [452,211,600,24,600], // GREEK SMALL LETTER ETA + 0x3B8: [702,8,562,40,554], // GREEK SMALL LETTER THETA + 0x3B9: [452,8,412,38,386], // GREEK SMALL LETTER IOTA 0x3BA: [452,8,668,45,642], // GREEK SMALL LETTER KAPPA 0x3BB: [694,13,671,40,652], // GREEK SMALL LETTER LAMDA 0x3BC: [452,211,708,33,682], // GREEK SMALL LETTER MU 0x3BD: [452,2,577,38,608], // GREEK SMALL LETTER NU - 0x3BE: [712,201,508,23,490], // GREEK SMALL LETTER XI + 0x3BE: [711,201,508,23,490], // GREEK SMALL LETTER XI 0x3BF: [452,8,585,39,576], // GREEK SMALL LETTER OMICRON - 0x3C0: [445,8,682,23,674], // GREEK SMALL LETTER PI + 0x3C0: [444,8,682,23,674], // GREEK SMALL LETTER PI 0x3C1: [451,211,612,34,603], // GREEK SMALL LETTER RHO - 0x3C2: [452,105,424,33,457], // GREEK SMALL LETTER FINAL SIGMA + 0x3C2: [451,105,424,33,457], // GREEK SMALL LETTER FINAL SIGMA 0x3C3: [444,8,686,35,677], // GREEK SMALL LETTER SIGMA 0x3C4: [444,13,521,23,610], // GREEK SMALL LETTER TAU - 0x3C5: [454,8,631,24,604], // GREEK SMALL LETTER UPSILON - 0x3C6: [452,216,747,52,703], // GREEK SMALL LETTER PHI - 0x3C7: [452,201,718,32,686], // GREEK SMALL LETTER CHI - 0x3C8: [694,203,758,24,732], // GREEK SMALL LETTER PSI + 0x3C5: [453,8,631,24,604], // GREEK SMALL LETTER UPSILON + 0x3C6: [452,216,747,53,703], // GREEK SMALL LETTER PHI + 0x3C7: [452,201,718,32,685], // GREEK SMALL LETTER CHI + 0x3C8: [694,202,758,24,732], // GREEK SMALL LETTER PSI 0x3C9: [453,8,718,24,691], // GREEK SMALL LETTER OMEGA - 0x3D1: [701,9,692,23,656], // GREEK THETA SYMBOL - 0x3D5: [695,203,712,51,693], // GREEK PHI SYMBOL - 0x3D6: [444,8,975,22,961], // GREEK PI SYMBOL - 0x3F1: [451,195,612,75,604], // GREEK RHO SYMBOL - 0x3F5: [445,7,483,43,450] // GREEK LUNATE EPSILON SYMBOL + 0x3D1: [701,8,692,24,656], // GREEK THETA SYMBOL + 0x3D5: [694,202,712,51,693], // GREEK PHI SYMBOL + 0x3D6: [444,8,975,23,961], // GREEK PI SYMBOL + 0x3F1: [451,194,612,75,603], // GREEK RHO SYMBOL + 0x3F5: [444,7,483,44,450] // GREEK LUNATE EPSILON SYMBOL }; MathJax.Callback.Queue( diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-italic'] = { directory: 'Math/Italic', family: 'MathJax_Math', style: 'italic', - testString: "MathJax Math", + testString: "MathJax Math \u03A5", skew: { 0x41: 0.139, 0x42: 0.0833, @@ -103,44 +103,44 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-italic'] = { }, 0x20: [0,0,250,0,0], // SPACE 0x2F: [716,215,778,139,638], // SOLIDUS - 0x41: [717,0,750,35,727], // LATIN CAPITAL LETTER A + 0x41: [716,0,750,35,726], // LATIN CAPITAL LETTER A 0x42: [683,0,759,35,756], // LATIN CAPITAL LETTER B 0x43: [705,22,715,50,760], // LATIN CAPITAL LETTER C - 0x44: [683,1,828,32,804], // LATIN CAPITAL LETTER D - 0x45: [680,1,738,30,764], // LATIN CAPITAL LETTER E - 0x46: [681,0,643,30,749], // LATIN CAPITAL LETTER F + 0x44: [683,0,828,33,803], // LATIN CAPITAL LETTER D + 0x45: [680,0,738,31,764], // LATIN CAPITAL LETTER E + 0x46: [680,0,643,31,749], // LATIN CAPITAL LETTER F 0x47: [705,22,786,50,760], // LATIN CAPITAL LETTER G - 0x48: [683,0,831,31,889], // LATIN CAPITAL LETTER H - 0x49: [684,0,440,26,504], // LATIN CAPITAL LETTER I + 0x48: [683,0,831,31,888], // LATIN CAPITAL LETTER H + 0x49: [683,0,440,26,504], // LATIN CAPITAL LETTER I 0x4A: [683,22,555,57,633], // LATIN CAPITAL LETTER J - 0x4B: [684,0,849,31,889], // LATIN CAPITAL LETTER K - 0x4C: [684,1,681,32,647], // LATIN CAPITAL LETTER L - 0x4D: [684,0,970,35,1051], // LATIN CAPITAL LETTER M - 0x4E: [684,0,803,31,888], // LATIN CAPITAL LETTER N + 0x4B: [683,0,849,31,889], // LATIN CAPITAL LETTER K + 0x4C: [683,0,681,32,647], // LATIN CAPITAL LETTER L + 0x4D: [683,0,970,35,1051], // LATIN CAPITAL LETTER M + 0x4E: [683,0,803,31,888], // LATIN CAPITAL LETTER N 0x4F: [704,22,763,50,740], // LATIN CAPITAL LETTER O 0x50: [683,0,642,33,751], // LATIN CAPITAL LETTER P - 0x51: [704,195,791,50,740], // LATIN CAPITAL LETTER Q - 0x52: [683,22,759,33,755], // LATIN CAPITAL LETTER R + 0x51: [704,194,791,50,740], // LATIN CAPITAL LETTER Q + 0x52: [683,21,759,33,755], // LATIN CAPITAL LETTER R 0x53: [705,22,613,52,645], // LATIN CAPITAL LETTER S - 0x54: [678,0,584,21,705], // LATIN CAPITAL LETTER T - 0x55: [684,22,683,59,767], // LATIN CAPITAL LETTER U - 0x56: [683,23,583,52,769], // LATIN CAPITAL LETTER V - 0x57: [684,22,944,51,1048], // LATIN CAPITAL LETTER W - 0x58: [684,1,828,25,852], // LATIN CAPITAL LETTER X - 0x59: [683,-1,581,29,763], // LATIN CAPITAL LETTER Y - 0x5A: [684,1,683,58,724], // LATIN CAPITAL LETTER Z + 0x54: [677,0,584,21,704], // LATIN CAPITAL LETTER T + 0x55: [683,22,683,60,767], // LATIN CAPITAL LETTER U + 0x56: [683,22,583,52,769], // LATIN CAPITAL LETTER V + 0x57: [683,22,944,51,1048], // LATIN CAPITAL LETTER W + 0x58: [683,0,828,26,852], // LATIN CAPITAL LETTER X + 0x59: [683,-1,581,30,763], // LATIN CAPITAL LETTER Y + 0x5A: [683,0,683,58,723], // LATIN CAPITAL LETTER Z 0x61: [441,10,529,33,506], // LATIN SMALL LETTER A - 0x62: [694,11,429,39,422], // LATIN SMALL LETTER B + 0x62: [694,11,429,40,422], // LATIN SMALL LETTER B 0x63: [442,11,433,34,429], // LATIN SMALL LETTER C - 0x64: [694,10,520,33,524], // LATIN SMALL LETTER D + 0x64: [694,10,520,33,523], // LATIN SMALL LETTER D 0x65: [442,11,466,39,429], // LATIN SMALL LETTER E 0x66: [705,205,490,55,550], // LATIN SMALL LETTER F - 0x67: [443,205,477,10,480], // LATIN SMALL LETTER G + 0x67: [442,205,477,10,480], // LATIN SMALL LETTER G 0x68: [694,11,576,48,555], // LATIN SMALL LETTER H - 0x69: [661,11,345,21,303], // LATIN SMALL LETTER I + 0x69: [661,11,345,21,302], // LATIN SMALL LETTER I 0x6A: [661,204,412,-12,403], // LATIN SMALL LETTER J 0x6B: [694,11,521,48,503], // LATIN SMALL LETTER K - 0x6C: [694,11,298,38,267], // LATIN SMALL LETTER L + 0x6C: [694,11,298,38,266], // LATIN SMALL LETTER L 0x6D: [442,11,878,21,857], // LATIN SMALL LETTER M 0x6E: [442,11,600,21,580], // LATIN SMALL LETTER N 0x6F: [441,11,485,34,476], // LATIN SMALL LETTER O @@ -151,52 +151,52 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Math-italic'] = { 0x74: [626,11,361,19,330], // LATIN SMALL LETTER T 0x75: [442,11,572,21,551], // LATIN SMALL LETTER U 0x76: [443,11,485,21,467], // LATIN SMALL LETTER V - 0x77: [444,11,716,20,690], // LATIN SMALL LETTER W - 0x78: [443,11,572,35,523], // LATIN SMALL LETTER X + 0x77: [443,11,716,21,690], // LATIN SMALL LETTER W + 0x78: [442,11,572,35,522], // LATIN SMALL LETTER X 0x79: [442,205,490,21,496], // LATIN SMALL LETTER Y - 0x7A: [442,12,465,35,468], // LATIN SMALL LETTER Z + 0x7A: [442,11,465,35,468], // LATIN SMALL LETTER Z 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x393: [680,-1,615,31,721], // GREEK CAPITAL LETTER GAMMA - 0x394: [716,1,833,48,788], // GREEK CAPITAL LETTER DELTA + 0x394: [716,0,833,48,788], // GREEK CAPITAL LETTER DELTA 0x398: [704,22,763,50,740], // GREEK CAPITAL LETTER THETA - 0x39B: [717,0,694,35,671], // GREEK CAPITAL LETTER LAMDA - 0x39E: [678,1,742,53,777], // GREEK CAPITAL LETTER XI - 0x3A0: [681,0,831,31,888], // GREEK CAPITAL LETTER PI + 0x39B: [716,0,694,35,670], // GREEK CAPITAL LETTER LAMDA + 0x39E: [677,0,742,53,777], // GREEK CAPITAL LETTER XI + 0x3A0: [680,0,831,31,887], // GREEK CAPITAL LETTER PI 0x3A3: [683,0,780,58,806], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [706,0,583,28,701], // GREEK CAPITAL LETTER UPSILON - 0x3A6: [683,0,667,24,643], // GREEK CAPITAL LETTER PHI - 0x3A8: [684,0,612,21,693], // GREEK CAPITAL LETTER PSI + 0x3A5: [705,0,583,28,700], // GREEK CAPITAL LETTER UPSILON + 0x3A6: [683,0,667,24,642], // GREEK CAPITAL LETTER PHI + 0x3A8: [683,0,612,21,692], // GREEK CAPITAL LETTER PSI 0x3A9: [704,0,772,80,786], // GREEK CAPITAL LETTER OMEGA 0x3B1: [442,11,640,34,603], // GREEK SMALL LETTER ALPHA - 0x3B2: [706,194,566,23,573], // GREEK SMALL LETTER BETA + 0x3B2: [705,194,566,23,573], // GREEK SMALL LETTER BETA 0x3B3: [441,216,518,11,543], // GREEK SMALL LETTER GAMMA 0x3B4: [717,10,444,36,451], // GREEK SMALL LETTER DELTA - 0x3B5: [453,22,466,27,428], // GREEK SMALL LETTER EPSILON - 0x3B6: [704,204,438,44,472], // GREEK SMALL LETTER ZETA - 0x3B7: [442,216,497,21,504], // GREEK SMALL LETTER ETA + 0x3B5: [452,22,466,27,428], // GREEK SMALL LETTER EPSILON + 0x3B6: [704,204,438,44,471], // GREEK SMALL LETTER ZETA + 0x3B7: [442,216,497,21,503], // GREEK SMALL LETTER ETA 0x3B8: [705,10,469,35,462], // GREEK SMALL LETTER THETA 0x3B9: [442,10,354,48,332], // GREEK SMALL LETTER IOTA 0x3BA: [442,11,576,49,554], // GREEK SMALL LETTER KAPPA - 0x3BB: [694,12,583,46,556], // GREEK SMALL LETTER LAMDA - 0x3BC: [443,216,603,22,580], // GREEK SMALL LETTER MU + 0x3BB: [694,12,583,47,556], // GREEK SMALL LETTER LAMDA + 0x3BC: [442,216,603,23,580], // GREEK SMALL LETTER MU 0x3BD: [442,2,494,45,530], // GREEK SMALL LETTER NU 0x3BE: [704,205,438,21,443], // GREEK SMALL LETTER XI 0x3BF: [441,11,485,34,476], // GREEK SMALL LETTER OMICRON 0x3C0: [431,11,570,19,573], // GREEK SMALL LETTER PI - 0x3C1: [442,216,517,22,510], // GREEK SMALL LETTER RHO - 0x3C2: [442,108,363,31,405], // GREEK SMALL LETTER FINAL SIGMA + 0x3C1: [442,216,517,23,510], // GREEK SMALL LETTER RHO + 0x3C2: [442,107,363,31,405], // GREEK SMALL LETTER FINAL SIGMA 0x3C3: [431,11,571,31,572], // GREEK SMALL LETTER SIGMA - 0x3C4: [431,13,437,17,517], // GREEK SMALL LETTER TAU + 0x3C4: [431,13,437,18,517], // GREEK SMALL LETTER TAU 0x3C5: [443,10,540,21,523], // GREEK SMALL LETTER UPSILON - 0x3C6: [442,219,654,50,618], // GREEK SMALL LETTER PHI - 0x3C7: [442,204,626,24,601], // GREEK SMALL LETTER CHI + 0x3C6: [442,218,654,50,618], // GREEK SMALL LETTER PHI + 0x3C7: [442,204,626,25,600], // GREEK SMALL LETTER CHI 0x3C8: [694,205,651,21,634], // GREEK SMALL LETTER PSI - 0x3C9: [444,11,622,15,604], // GREEK SMALL LETTER OMEGA + 0x3C9: [443,11,622,15,604], // GREEK SMALL LETTER OMEGA 0x3D1: [705,11,591,21,563], // GREEK THETA SYMBOL - 0x3D5: [695,206,596,43,579], // GREEK PHI SYMBOL + 0x3D5: [694,205,596,43,579], // GREEK PHI SYMBOL 0x3D6: [431,10,828,19,823], // GREEK PI SYMBOL 0x3F1: [442,194,517,67,510], // GREEK RHO SYMBOL - 0x3F5: [432,11,406,39,383] // GREEK LUNATE EPSILON SYMBOL + 0x3F5: [431,11,406,40,382] // GREEK LUNATE EPSILON SYMBOL }; MathJax.Callback.Queue( diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,93 +22,93 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'], { 0x20: [0,0,250,0,0], // SPACE - 0x21: [695,0,367,109,257], // EXCLAMATION MARK - 0x22: [694,-441,558,37,420], // QUOTATION MARK + 0x21: [694,0,367,110,256], // EXCLAMATION MARK + 0x22: [694,-442,558,37,420], // QUOTATION MARK 0x23: [694,193,917,61,855], // NUMBER SIGN - 0x24: [750,57,550,49,488], // DOLLAR SIGN - 0x25: [750,57,1029,61,967], // PERCENT SIGN + 0x24: [750,56,550,49,488], // DOLLAR SIGN + 0x25: [750,56,1029,61,966], // PERCENT SIGN 0x26: [716,22,831,47,769], // AMPERSAND - 0x27: [694,-441,306,80,226], // APOSTROPHE + 0x27: [694,-442,306,80,226], // APOSTROPHE 0x28: [750,249,428,79,366], // LEFT PARENTHESIS - 0x29: [751,251,428,61,348], // RIGHT PARENTHESIS + 0x29: [750,250,428,61,348], // RIGHT PARENTHESIS 0x2A: [750,-293,550,67,482], // ASTERISK 0x2B: [617,116,856,61,794], // PLUS SIGN - 0x2C: [146,107,306,80,226], // COMMA - 0x2D: [274,-185,367,12,305], // HYPHEN-MINUS + 0x2C: [146,106,306,80,226], // COMMA + 0x2D: [273,-186,367,12,305], // HYPHEN-MINUS 0x2E: [146,0,306,80,226], // FULL STOP - 0x2F: [750,249,550,61,489], // SOLIDUS - 0x30: [715,22,550,42,506], // DIGIT ZERO + 0x2F: [750,249,550,61,488], // SOLIDUS + 0x30: [715,22,550,43,506], // DIGIT ZERO 0x31: [716,-1,550,76,473], // DIGIT ONE 0x32: [716,0,550,46,495], // DIGIT TWO 0x33: [716,22,550,46,503], // DIGIT THREE - 0x34: [695,1,550,30,519], // DIGIT FOUR + 0x34: [694,0,550,31,518], // DIGIT FOUR 0x35: [694,22,550,37,494], // DIGIT FIVE 0x36: [716,22,550,46,503], // DIGIT SIX - 0x37: [696,12,550,45,504], // DIGIT SEVEN - 0x38: [716,22,550,46,503], // DIGIT EIGHT + 0x37: [695,11,550,46,503], // DIGIT SEVEN + 0x38: [715,22,550,46,503], // DIGIT EIGHT 0x39: [716,22,550,46,503], // DIGIT NINE 0x3A: [458,0,306,80,226], // COLON - 0x3B: [458,107,306,80,226], // SEMICOLON + 0x3B: [458,106,306,80,226], // SEMICOLON 0x3D: [407,-94,856,61,794], // EQUALS SIGN - 0x3F: [706,0,519,61,457], // QUESTION MARK + 0x3F: [705,0,519,61,457], // QUESTION MARK 0x40: [704,11,733,61,671], // COMMERCIAL AT - 0x41: [695,1,733,42,691], // LATIN CAPITAL LETTER A - 0x42: [695,-1,733,92,671], // LATIN CAPITAL LETTER B + 0x41: [694,0,733,42,690], // LATIN CAPITAL LETTER A + 0x42: [694,-1,733,92,671], // LATIN CAPITAL LETTER B 0x43: [704,11,703,61,647], // LATIN CAPITAL LETTER C - 0x44: [695,0,794,91,732], // LATIN CAPITAL LETTER D - 0x45: [692,0,642,92,596], // LATIN CAPITAL LETTER E - 0x46: [692,1,611,92,565], // LATIN CAPITAL LETTER F + 0x44: [694,-1,794,92,732], // LATIN CAPITAL LETTER D + 0x45: [691,0,642,92,595], // LATIN CAPITAL LETTER E + 0x46: [691,0,611,92,564], // LATIN CAPITAL LETTER F 0x47: [705,11,733,61,659], // LATIN CAPITAL LETTER G - 0x48: [695,1,794,92,702], // LATIN CAPITAL LETTER H - 0x49: [695,1,331,85,246], // LATIN CAPITAL LETTER I - 0x4A: [695,22,519,46,427], // LATIN CAPITAL LETTER J - 0x4B: [695,1,764,92,701], // LATIN CAPITAL LETTER K - 0x4C: [695,0,581,92,535], // LATIN CAPITAL LETTER L - 0x4D: [695,1,978,92,886], // LATIN CAPITAL LETTER M - 0x4E: [695,1,794,92,702], // LATIN CAPITAL LETTER N + 0x48: [694,0,794,92,702], // LATIN CAPITAL LETTER H + 0x49: [694,0,331,85,246], // LATIN CAPITAL LETTER I + 0x4A: [694,22,519,46,427], // LATIN CAPITAL LETTER J + 0x4B: [694,0,764,92,701], // LATIN CAPITAL LETTER K + 0x4C: [694,0,581,92,534], // LATIN CAPITAL LETTER L + 0x4D: [694,0,978,92,886], // LATIN CAPITAL LETTER M + 0x4E: [694,0,794,92,702], // LATIN CAPITAL LETTER N 0x4F: [716,22,794,62,731], // LATIN CAPITAL LETTER O 0x50: [694,0,703,92,641], // LATIN CAPITAL LETTER P 0x51: [716,106,794,62,732], // LATIN CAPITAL LETTER Q - 0x52: [695,1,703,92,654], // LATIN CAPITAL LETTER R + 0x52: [694,0,703,92,654], // LATIN CAPITAL LETTER R 0x53: [716,22,611,49,549], // LATIN CAPITAL LETTER S - 0x54: [689,1,733,40,693], // LATIN CAPITAL LETTER T - 0x55: [695,22,764,92,672], // LATIN CAPITAL LETTER U - 0x56: [695,-1,733,27,705], // LATIN CAPITAL LETTER V - 0x57: [695,1,1039,23,1014], // LATIN CAPITAL LETTER W - 0x58: [695,0,733,37,694], // LATIN CAPITAL LETTER X - 0x59: [695,1,733,23,708], // LATIN CAPITAL LETTER Y - 0x5A: [694,0,672,61,617], // LATIN CAPITAL LETTER Z - 0x5B: [751,251,343,78,318], // LEFT SQUARE BRACKET - 0x5D: [751,251,343,24,263], // RIGHT SQUARE BRACKET + 0x54: [688,0,733,40,692], // LATIN CAPITAL LETTER T + 0x55: [694,22,764,92,672], // LATIN CAPITAL LETTER U + 0x56: [694,-1,733,27,705], // LATIN CAPITAL LETTER V + 0x57: [694,0,1039,24,1014], // LATIN CAPITAL LETTER W + 0x58: [694,0,733,37,694], // LATIN CAPITAL LETTER X + 0x59: [694,0,733,24,708], // LATIN CAPITAL LETTER Y + 0x5A: [694,0,672,61,616], // LATIN CAPITAL LETTER Z + 0x5B: [750,250,343,79,318], // LEFT SQUARE BRACKET + 0x5D: [750,250,343,24,263], // RIGHT SQUARE BRACKET 0x5E: [694,-537,550,108,441], // CIRCUMFLEX ACCENT 0x5F: [-23,110,550,0,549], // LOW LINE - 0x61: [475,11,525,31,474], // LATIN SMALL LETTER A - 0x62: [695,11,561,54,523], // LATIN SMALL LETTER B + 0x61: [475,11,525,31,472], // LATIN SMALL LETTER A + 0x62: [694,10,561,54,523], // LATIN SMALL LETTER B 0x63: [475,11,489,37,457], // LATIN SMALL LETTER C - 0x64: [695,11,561,37,507], // LATIN SMALL LETTER D - 0x65: [475,10,511,30,480], // LATIN SMALL LETTER E - 0x66: [705,1,336,28,382], // LATIN SMALL LETTER F - 0x67: [469,207,550,17,534], // LATIN SMALL LETTER G - 0x68: [695,1,561,53,509], // LATIN SMALL LETTER H - 0x69: [695,1,256,45,208], // LATIN SMALL LETTER I - 0x6A: [696,205,286,-71,233], // LATIN SMALL LETTER J - 0x6B: [695,1,531,63,496], // LATIN SMALL LETTER K - 0x6C: [695,1,256,54,201], // LATIN SMALL LETTER L - 0x6D: [469,1,867,53,816], // LATIN SMALL LETTER M - 0x6E: [468,1,561,53,509], // LATIN SMALL LETTER N - 0x6F: [475,11,550,32,518], // LATIN SMALL LETTER O - 0x70: [470,194,561,54,523], // LATIN SMALL LETTER P - 0x71: [470,195,561,37,507], // LATIN SMALL LETTER Q + 0x64: [694,11,561,37,507], // LATIN SMALL LETTER D + 0x65: [474,10,511,30,480], // LATIN SMALL LETTER E + 0x66: [705,0,336,29,381], // LATIN SMALL LETTER F + 0x67: [469,206,550,17,534], // LATIN SMALL LETTER G + 0x68: [694,0,561,53,508], // LATIN SMALL LETTER H + 0x69: [695,0,256,46,208], // LATIN SMALL LETTER I + 0x6A: [695,205,286,-71,232], // LATIN SMALL LETTER J + 0x6B: [694,0,531,63,496], // LATIN SMALL LETTER K + 0x6C: [694,0,256,54,201], // LATIN SMALL LETTER L + 0x6D: [469,0,867,53,815], // LATIN SMALL LETTER M + 0x6E: [468,0,561,53,508], // LATIN SMALL LETTER N + 0x6F: [474,11,550,32,518], // LATIN SMALL LETTER O + 0x70: [469,194,561,54,523], // LATIN SMALL LETTER P + 0x71: [469,194,561,37,507], // LATIN SMALL LETTER Q 0x72: [469,0,372,54,356], // LATIN SMALL LETTER R 0x73: [474,10,422,30,396], // LATIN SMALL LETTER S - 0x74: [590,10,404,20,374], // LATIN SMALL LETTER T - 0x75: [459,11,561,52,509], // LATIN SMALL LETTER U - 0x76: [459,0,500,26,473], // LATIN SMALL LETTER V - 0x77: [459,1,744,23,719], // LATIN SMALL LETTER W - 0x78: [459,1,500,23,475], // LATIN SMALL LETTER X - 0x79: [459,205,500,28,473], // LATIN SMALL LETTER Y - 0x7A: [458,1,476,31,443], // LATIN SMALL LETTER Z - 0x7E: [344,-197,550,92,457] // TILDE + 0x74: [589,10,404,20,373], // LATIN SMALL LETTER T + 0x75: [458,11,561,52,508], // LATIN SMALL LETTER U + 0x76: [458,0,500,26,473], // LATIN SMALL LETTER V + 0x77: [458,0,744,24,719], // LATIN SMALL LETTER W + 0x78: [458,0,500,24,475], // LATIN SMALL LETTER X + 0x79: [458,205,500,29,473], // LATIN SMALL LETTER Y + 0x7A: [458,0,476,31,442], // LATIN SMALL LETTER Z + 0x7E: [344,-198,550,92,457] // TILDE } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,17 +21,17 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'], { - 0x300: [695,-537,0,-458,-218], // COMBINING GRAVE ACCENT - 0x301: [694,-536,0,-334,-93], // COMBINING ACUTE ACCENT + 0x300: [694,-537,0,-458,-218], // COMBINING GRAVE ACCENT + 0x301: [694,-537,0,-334,-93], // COMBINING ACUTE ACCENT 0x302: [694,-537,0,-442,-109], // COMBINING CIRCUMFLEX ACCENT - 0x303: [694,-547,0,-458,-93], // COMBINING TILDE + 0x303: [694,-548,0,-458,-93], // COMBINING TILDE 0x304: [660,-560,0,-474,-77], // COMBINING MACRON - 0x306: [695,-552,0,-470,-80], // COMBINING BREVE - 0x307: [695,-596,0,-357,-194], // COMBINING DOT ABOVE - 0x308: [696,-594,0,-459,-90], // COMBINING DIAERESIS - 0x30A: [694,-537,0,-365,-118], // COMBINING RING ABOVE - 0x30B: [695,-536,0,-440,-93], // COMBINING DOUBLE ACUTE ACCENT - 0x30C: [658,-500,0,-442,-109] // COMBINING CARON + 0x306: [694,-552,0,-470,-80], // COMBINING BREVE + 0x307: [695,-596,0,-356,-194], // COMBINING DOT ABOVE + 0x308: [695,-595,0,-459,-91], // COMBINING DIAERESIS + 0x30A: [694,-538,0,-365,-119], // COMBINING RING ABOVE + 0x30B: [694,-537,0,-440,-94], // COMBINING DOUBLE ACUTE ACCENT + 0x30C: [657,-500,0,-442,-109] // COMBINING CARON } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'] = { directory: 'SansSerif/Bold', family: 'MathJax_SansSerif', weight: 'bold', - testString: "MathJax SansSerif", + testString: "MathJax SansSerif ^ _", Ranges: [ [0x0,0x7F,"BasicLatin"], [0x80,0xFFFF,"Other"], diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,25 +22,25 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-bold'], { 0xA0: [0,0,250,0,0], // NO-BREAK SPACE - 0x131: [459,1,256,54,201], // LATIN SMALL LETTER DOTLESS I - 0x237: [459,205,286,-71,232], // LATIN SMALL LETTER DOTLESS J - 0x393: [692,1,581,92,535], // GREEK CAPITAL LETTER GAMMA - 0x394: [695,0,917,60,856], // GREEK CAPITAL LETTER DELTA + 0x131: [458,0,256,54,201], // LATIN SMALL LETTER DOTLESS I + 0x237: [458,205,286,-71,232], // LATIN SMALL LETTER DOTLESS J + 0x393: [691,0,581,92,534], // GREEK CAPITAL LETTER GAMMA + 0x394: [694,0,917,60,856], // GREEK CAPITAL LETTER DELTA 0x398: [716,22,856,62,793], // GREEK CAPITAL LETTER THETA - 0x39B: [695,1,672,41,630], // GREEK CAPITAL LETTER LAMDA - 0x39E: [688,1,733,45,687], // GREEK CAPITAL LETTER XI - 0x3A0: [691,1,794,92,702], // GREEK CAPITAL LETTER PI - 0x3A3: [695,0,794,61,733], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [716,1,856,61,794], // GREEK CAPITAL LETTER UPSILON - 0x3A6: [695,0,794,62,732], // GREEK CAPITAL LETTER PHI - 0x3A8: [695,0,856,61,794], // GREEK CAPITAL LETTER PSI - 0x3A9: [716,1,794,48,745], // GREEK CAPITAL LETTER OMEGA + 0x39B: [694,0,672,41,630], // GREEK CAPITAL LETTER LAMDA + 0x39E: [688,0,733,46,686], // GREEK CAPITAL LETTER XI + 0x3A0: [691,0,794,92,702], // GREEK CAPITAL LETTER PI + 0x3A3: [694,0,794,61,732], // GREEK CAPITAL LETTER SIGMA + 0x3A5: [715,0,856,62,793], // GREEK CAPITAL LETTER UPSILON + 0x3A6: [694,0,794,62,732], // GREEK CAPITAL LETTER PHI + 0x3A8: [694,0,856,61,794], // GREEK CAPITAL LETTER PSI + 0x3A9: [716,0,794,49,744], // GREEK CAPITAL LETTER OMEGA 0x2013: [327,-240,550,0,549], // EN DASH 0x2014: [327,-240,1100,0,1099], // EM DASH - 0x2018: [695,-443,306,81,226], // LEFT SINGLE QUOTATION MARK - 0x2019: [694,-441,306,80,226], // RIGHT SINGLE QUOTATION MARK - 0x201C: [695,-443,558,138,521], // LEFT DOUBLE QUOTATION MARK - 0x201D: [694,-441,558,37,420] // RIGHT DOUBLE QUOTATION MARK + 0x2018: [694,-443,306,81,226], // LEFT SINGLE QUOTATION MARK + 0x2019: [694,-442,306,80,226], // RIGHT SINGLE QUOTATION MARK + 0x201C: [694,-443,558,138,520], // LEFT DOUBLE QUOTATION MARK + 0x201D: [694,-442,558,37,420] // RIGHT DOUBLE QUOTATION MARK } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -31,15 +31,15 @@ MathJax.Hub.Insert( 0x27: [694,-471,278,190,335], // APOSTROPHE 0x28: [750,250,389,104,491], // LEFT PARENTHESIS 0x29: [750,250,389,2,390], // RIGHT PARENTHESIS - 0x2A: [750,-305,500,156,569], // ASTERISK + 0x2A: [750,-306,500,156,568], // ASTERISK 0x2B: [583,83,778,108,775], // PLUS SIGN 0x2C: [98,125,278,63,209], // COMMA 0x2D: [259,-186,333,51,332], // HYPHEN-MINUS 0x2E: [98,0,278,90,209], // FULL STOP 0x2F: [750,250,500,6,600], // SOLIDUS - 0x30: [678,23,500,88,549], // DIGIT ZERO + 0x30: [678,22,500,88,549], // DIGIT ZERO 0x31: [678,0,500,88,451], // DIGIT ONE - 0x32: [679,0,500,50,552], // DIGIT TWO + 0x32: [678,0,500,50,551], // DIGIT TWO 0x33: [678,22,500,56,544], // DIGIT THREE 0x34: [656,0,500,62,521], // DIGIT FOUR 0x35: [656,22,500,50,555], // DIGIT FIVE @@ -49,7 +49,7 @@ MathJax.Hub.Insert( 0x39: [677,22,500,77,545], // DIGIT NINE 0x3A: [444,0,278,90,282], // COLON 0x3B: [444,125,278,63,282], // SEMICOLON - 0x3D: [370,-130,778,87,796], // EQUALS SIGN + 0x3D: [370,-130,778,88,796], // EQUALS SIGN 0x3F: [704,0,472,173,536], // QUESTION MARK 0x40: [705,10,667,120,707], // COMMERCIAL AT 0x41: [694,0,667,28,638], // LATIN CAPITAL LETTER A @@ -69,12 +69,12 @@ MathJax.Hub.Insert( 0x4F: [716,22,736,118,763], // LATIN CAPITAL LETTER O 0x50: [694,0,639,88,690], // LATIN CAPITAL LETTER P 0x51: [716,125,736,118,763], // LATIN CAPITAL LETTER Q - 0x52: [694,0,646,88,699], // LATIN CAPITAL LETTER R + 0x52: [694,0,646,88,698], // LATIN CAPITAL LETTER R 0x53: [716,22,556,54,609], // LATIN CAPITAL LETTER S 0x54: [688,0,681,165,790], // LATIN CAPITAL LETTER T - 0x55: [694,22,688,130,747], // LATIN CAPITAL LETTER U + 0x55: [694,22,688,131,747], // LATIN CAPITAL LETTER U 0x56: [694,0,667,161,799], // LATIN CAPITAL LETTER V - 0x57: [694,0,944,160,1076], // LATIN CAPITAL LETTER W + 0x57: [694,0,944,161,1076], // LATIN CAPITAL LETTER W 0x58: [694,0,667,14,758], // LATIN CAPITAL LETTER X 0x59: [694,0,667,151,810], // LATIN CAPITAL LETTER Y 0x5A: [694,0,611,55,702], // LATIN CAPITAL LETTER Z @@ -82,10 +82,10 @@ MathJax.Hub.Insert( 0x5D: [750,250,289,-31,353], // RIGHT SQUARE BRACKET 0x5E: [694,-527,500,190,533], // CIRCUMFLEX ACCENT 0x5F: [-38,114,500,50,565], // LOW LINE - 0x61: [461,11,481,61,474], // LATIN SMALL LETTER A + 0x61: [461,10,481,61,473], // LATIN SMALL LETTER A 0x62: [694,11,517,75,539], // LATIN SMALL LETTER B - 0x63: [461,11,444,75,499], // LATIN SMALL LETTER C - 0x64: [694,11,517,73,588], // LATIN SMALL LETTER D + 0x63: [460,11,444,75,499], // LATIN SMALL LETTER C + 0x64: [694,10,517,73,588], // LATIN SMALL LETTER D 0x65: [460,11,444,71,472], // LATIN SMALL LETTER E 0x66: [705,0,306,94,494], // LATIN SMALL LETTER F 0x67: [455,206,500,12,568], // LATIN SMALL LETTER G @@ -102,7 +102,7 @@ MathJax.Hub.Insert( 0x72: [455,0,342,74,424], // LATIN SMALL LETTER R 0x73: [461,11,383,35,436], // LATIN SMALL LETTER S 0x74: [571,11,361,97,410], // LATIN SMALL LETTER T - 0x75: [444,11,517,90,537], // LATIN SMALL LETTER U + 0x75: [444,10,517,90,537], // LATIN SMALL LETTER U 0x76: [444,0,461,108,540], // LATIN SMALL LETTER V 0x77: [444,0,683,108,762], // LATIN SMALL LETTER W 0x78: [444,0,461,1,537], // LATIN SMALL LETTER X diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -29,7 +29,7 @@ MathJax.Hub.Insert( 0x306: [694,-508,0,-284,73], // COMBINING BREVE 0x307: [680,-576,0,-180,-54], // COMBINING DOT ABOVE 0x308: [680,-582,0,-273,40], // COMBINING DIAERESIS - 0x30A: [694,-527,0,-227,-2], // COMBINING RING ABOVE + 0x30A: [693,-527,0,-227,-2], // COMBINING RING ABOVE 0x30B: [694,-527,0,-287,63], // COMBINING DOUBLE ACUTE ACCENT 0x30C: [654,-487,0,-283,60] // COMBINING CARON } diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif-italic'] = { directory: 'SansSerif/Italic', family: 'MathJax_SansSerif', style: 'italic', - testString: "MathJax SansSerif", + testString: "MathJax SansSerif ^ _", Ranges: [ [0x0,0x7F,"BasicLatin"], [0x80,0xFFFF,"Other"], diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,44 +24,44 @@ MathJax.Hub.Insert( 0x20: [0,0,250,0,0], // SPACE 0x21: [694,0,319,110,208], // EXCLAMATION MARK 0x22: [694,-471,500,32,325], // QUOTATION MARK - 0x23: [694,194,833,55,777], // NUMBER SIGN + 0x23: [694,194,833,56,777], // NUMBER SIGN 0x24: [750,56,500,44,444], // DOLLAR SIGN 0x25: [750,56,833,56,776], // PERCENT SIGN - 0x26: [716,23,758,42,703], // AMPERSAND + 0x26: [716,22,758,42,702], // AMPERSAND 0x27: [694,-471,278,89,188], // APOSTROPHE 0x28: [750,250,389,74,333], // LEFT PARENTHESIS 0x29: [750,250,389,55,314], // RIGHT PARENTHESIS 0x2A: [750,-306,500,63,436], // ASTERISK - 0x2B: [583,83,778,55,722], // PLUS SIGN + 0x2B: [583,82,778,56,722], // PLUS SIGN 0x2C: [98,125,278,89,188], // COMMA 0x2D: [259,-186,333,11,277], // HYPHEN-MINUS 0x2E: [98,0,278,90,188], // FULL STOP - 0x2F: [751,250,500,56,445], // SOLIDUS + 0x2F: [750,250,500,56,445], // SOLIDUS 0x30: [678,22,500,39,460], // DIGIT ZERO 0x31: [678,0,500,83,430], // DIGIT ONE - 0x32: [677,0,500,42,450], // DIGIT TWO + 0x32: [677,0,500,42,449], // DIGIT TWO 0x33: [678,22,500,42,457], // DIGIT THREE 0x34: [656,0,500,28,471], // DIGIT FOUR - 0x35: [656,22,500,33,449], // DIGIT FIVE - 0x36: [678,22,500,42,457], // DIGIT SIX + 0x35: [656,21,500,33,449], // DIGIT FIVE + 0x36: [677,22,500,42,457], // DIGIT SIX 0x37: [656,11,500,42,457], // DIGIT SEVEN 0x38: [678,22,500,43,456], // DIGIT EIGHT - 0x39: [678,22,500,42,457], // DIGIT NINE + 0x39: [677,22,500,42,457], // DIGIT NINE 0x3A: [444,0,278,90,188], // COLON 0x3B: [444,125,278,89,188], // SEMICOLON - 0x3D: [370,-130,778,55,722], // EQUALS SIGN + 0x3D: [370,-130,778,56,722], // EQUALS SIGN 0x3F: [704,0,472,55,416], // QUESTION MARK 0x40: [704,11,667,56,612], // COMMERCIAL AT 0x41: [694,0,667,28,638], // LATIN CAPITAL LETTER A 0x42: [694,0,667,90,610], // LATIN CAPITAL LETTER B 0x43: [705,11,639,59,587], // LATIN CAPITAL LETTER C - 0x44: [695,0,722,87,666], // LATIN CAPITAL LETTER D + 0x44: [694,0,722,88,666], // LATIN CAPITAL LETTER D 0x45: [691,0,597,86,554], // LATIN CAPITAL LETTER E 0x46: [691,0,569,86,526], // LATIN CAPITAL LETTER F 0x47: [704,11,667,59,599], // LATIN CAPITAL LETTER G 0x48: [694,0,708,86,621], // LATIN CAPITAL LETTER H 0x49: [694,0,278,87,191], // LATIN CAPITAL LETTER I - 0x4A: [694,22,472,42,389], // LATIN CAPITAL LETTER J + 0x4A: [694,22,472,42,388], // LATIN CAPITAL LETTER J 0x4B: [694,0,694,88,651], // LATIN CAPITAL LETTER K 0x4C: [694,0,542,87,499], // LATIN CAPITAL LETTER L 0x4D: [694,0,875,92,782], // LATIN CAPITAL LETTER M @@ -82,12 +82,12 @@ MathJax.Hub.Insert( 0x5D: [750,250,289,22,194], // RIGHT SQUARE BRACKET 0x5E: [694,-527,500,78,421], // CIRCUMFLEX ACCENT 0x5F: [-38,114,500,0,499], // LOW LINE - 0x61: [461,11,481,38,408], // LATIN SMALL LETTER A + 0x61: [460,10,481,38,407], // LATIN SMALL LETTER A 0x62: [694,11,517,75,482], // LATIN SMALL LETTER B 0x63: [460,10,444,34,415], // LATIN SMALL LETTER C 0x64: [694,10,517,33,441], // LATIN SMALL LETTER D 0x65: [461,10,444,28,415], // LATIN SMALL LETTER E - 0x66: [706,0,306,27,347], // LATIN SMALL LETTER F + 0x66: [705,0,306,27,347], // LATIN SMALL LETTER F 0x67: [455,206,500,28,485], // LATIN SMALL LETTER G 0x68: [694,0,517,73,443], // LATIN SMALL LETTER H 0x69: [680,0,239,67,171], // LATIN SMALL LETTER I @@ -97,16 +97,16 @@ MathJax.Hub.Insert( 0x6D: [455,0,794,73,720], // LATIN SMALL LETTER M 0x6E: [455,0,517,73,443], // LATIN SMALL LETTER N 0x6F: [460,10,500,28,471], // LATIN SMALL LETTER O - 0x70: [456,194,517,75,483], // LATIN SMALL LETTER P + 0x70: [455,194,517,75,483], // LATIN SMALL LETTER P 0x71: [455,194,517,33,441], // LATIN SMALL LETTER Q 0x72: [455,0,342,74,327], // LATIN SMALL LETTER R 0x73: [460,10,383,28,360], // LATIN SMALL LETTER S 0x74: [571,10,361,18,333], // LATIN SMALL LETTER T - 0x75: [444,11,517,73,443], // LATIN SMALL LETTER U + 0x75: [444,10,517,73,443], // LATIN SMALL LETTER U 0x76: [444,0,461,14,446], // LATIN SMALL LETTER V 0x77: [444,0,683,14,668], // LATIN SMALL LETTER W 0x78: [444,0,461,0,460], // LATIN SMALL LETTER X - 0x79: [444,205,461,14,446], // LATIN SMALL LETTER Y + 0x79: [444,204,461,14,446], // LATIN SMALL LETTER Y 0x7A: [444,0,435,28,402], // LATIN SMALL LETTER Z 0x7E: [327,-193,500,83,416] // TILDE } diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_SansSerif'] = { directory: 'SansSerif/Regular', family: 'MathJax_SansSerif', - testString: "MathJax SansSerif", + testString: "MathJax SansSerif ^ _", Ranges: [ [0x0,0x7F,"BasicLatin"], [0x80,0xFFFF,"Other"], diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -31,7 +31,7 @@ MathJax.Hub.Insert( 0x39E: [688,0,667,42,624], // GREEK CAPITAL LETTER XI 0x3A0: [691,0,708,86,621], // GREEK CAPITAL LETTER PI 0x3A3: [694,0,722,55,666], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [717,0,778,55,722], // GREEK CAPITAL LETTER UPSILON + 0x3A5: [716,0,778,55,722], // GREEK CAPITAL LETTER UPSILON 0x3A6: [694,0,722,55,666], // GREEK CAPITAL LETTER PHI 0x3A8: [694,0,778,55,722], // GREEK CAPITAL LETTER PSI 0x3A9: [716,0,722,44,677], // GREEK CAPITAL LETTER OMEGA diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,32 +22,32 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Script'], { 0x20: [0,0,250,0,0], // SPACE - 0x41: [718,8,803,35,1017], // LATIN CAPITAL LETTER A + 0x41: [717,8,803,35,1016], // LATIN CAPITAL LETTER A 0x42: [708,28,908,31,928], // LATIN CAPITAL LETTER B 0x43: [728,26,666,26,819], // LATIN CAPITAL LETTER C 0x44: [708,31,774,68,855], // LATIN CAPITAL LETTER D - 0x45: [708,8,562,46,719], // LATIN CAPITAL LETTER E + 0x45: [707,8,562,46,718], // LATIN CAPITAL LETTER E 0x46: [735,36,895,39,990], // LATIN CAPITAL LETTER F - 0x47: [717,38,610,12,739], // LATIN CAPITAL LETTER G - 0x48: [718,36,969,29,1241], // LATIN CAPITAL LETTER H + 0x47: [717,37,610,12,738], // LATIN CAPITAL LETTER G + 0x48: [717,36,969,29,1241], // LATIN CAPITAL LETTER H 0x49: [717,17,809,59,946], // LATIN CAPITAL LETTER I - 0x4A: [718,315,1052,92,1133], // LATIN CAPITAL LETTER J + 0x4A: [717,314,1052,92,1133], // LATIN CAPITAL LETTER J 0x4B: [717,37,914,29,1204], // LATIN CAPITAL LETTER K - 0x4C: [718,18,874,14,1036], // LATIN CAPITAL LETTER L + 0x4C: [717,17,874,14,1035], // LATIN CAPITAL LETTER L 0x4D: [721,50,1080,30,1216], // LATIN CAPITAL LETTER M 0x4E: [726,36,902,29,1208], // LATIN CAPITAL LETTER N 0x4F: [707,8,738,96,805], // LATIN CAPITAL LETTER O - 0x50: [716,38,1013,89,1031], // LATIN CAPITAL LETTER P + 0x50: [716,37,1013,90,1031], // LATIN CAPITAL LETTER P 0x51: [717,17,883,54,885], // LATIN CAPITAL LETTER Q - 0x52: [717,17,850,-3,887], // LATIN CAPITAL LETTER R + 0x52: [717,17,850,-2,887], // LATIN CAPITAL LETTER R 0x53: [708,36,868,29,1016], // LATIN CAPITAL LETTER S 0x54: [735,37,747,92,996], // LATIN CAPITAL LETTER T 0x55: [717,17,800,55,960], // LATIN CAPITAL LETTER U 0x56: [717,17,622,56,850], // LATIN CAPITAL LETTER V - 0x57: [718,17,805,46,1026], // LATIN CAPITAL LETTER W - 0x58: [718,17,944,103,1132], // LATIN CAPITAL LETTER X + 0x57: [717,17,805,46,1026], // LATIN CAPITAL LETTER W + 0x58: [717,17,944,103,1131], // LATIN CAPITAL LETTER X 0x59: [716,17,710,57,959], // LATIN CAPITAL LETTER Y - 0x5A: [718,16,821,82,1033] // LATIN CAPITAL LETTER Z + 0x5A: [717,16,821,83,1032] // LATIN CAPITAL LETTER Z } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,13 +24,13 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = { testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [850,349,458,152,422], // LEFT PARENTHESIS - 0x29: [851,349,458,35,305], // RIGHT PARENTHESIS + 0x29: [850,349,458,35,305], // RIGHT PARENTHESIS 0x2F: [850,349,578,55,522], // SOLIDUS 0x5B: [850,349,417,202,394], // LEFT SQUARE BRACKET 0x5C: [850,349,578,54,522], // REVERSE SOLIDUS 0x5D: [850,349,417,22,214], // RIGHT SQUARE BRACKET - 0x7B: [850,349,583,104,477], // LEFT CURLY BRACKET - 0x7D: [851,349,583,104,477], // RIGHT CURLY BRACKET + 0x7B: [850,349,583,105,477], // LEFT CURLY BRACKET + 0x7D: [850,349,583,105,477], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [744,-551,556,-8,564], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [722,-597,556,1,554], // SMALL TILDE @@ -43,7 +43,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = { 0x21D3: [600,-1,778,57,721], // DOWNWARDS DOUBLE ARROW 0x220F: [750,250,944,55,888], // N-ARY PRODUCT 0x2210: [750,250,944,55,888], // N-ARY COPRODUCT - 0x2211: [751,250,1056,56,999], // N-ARY SUMMATION + 0x2211: [750,250,1056,56,999], // N-ARY SUMMATION 0x221A: [850,350,1000,111,1020], // SQUARE ROOT 0x2223: [627,15,333,145,188], // DIVIDES 0x2225: [627,15,556,145,410], // PARALLEL TO @@ -53,8 +53,8 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = { 0x222E: [805,306,472,55,610], // CONTOUR INTEGRAL 0x22C0: [750,249,833,55,777], // N-ARY LOGICAL AND 0x22C1: [750,249,833,55,777], // N-ARY LOGICAL OR - 0x22C2: [750,249,833,54,777], // N-ARY INTERSECTION - 0x22C3: [750,250,833,55,777], // N-ARY UNION + 0x22C2: [750,249,833,55,777], // N-ARY INTERSECTION + 0x22C3: [750,249,833,55,777], // N-ARY UNION 0x2308: [850,349,472,202,449], // LEFT CEILING 0x2309: [850,349,472,22,269], // RIGHT CEILING 0x230A: [850,349,472,202,449], // LEFT FLOOR @@ -65,7 +65,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size1'] = { 0x2A00: [750,250,1111,56,1054], // N-ARY CIRCLED DOT OPERATOR 0x2A01: [750,250,1111,56,1054], // N-ARY CIRCLED PLUS OPERATOR 0x2A02: [750,250,1111,56,1054], // N-ARY CIRCLED TIMES OPERATOR - 0x2A04: [750,250,833,55,777], // N-ARY UNION OPERATOR WITH PLUS + 0x2A04: [750,249,833,55,777], // N-ARY UNION OPERATOR WITH PLUS 0x2A06: [750,249,833,55,777] // N-ARY SQUARE UNION OPERATOR }; diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,13 +24,13 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size2'] = { testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [1150,649,597,180,561], // LEFT PARENTHESIS - 0x29: [1151,649,597,35,416], // RIGHT PARENTHESIS - 0x2F: [1150,649,811,55,755], // SOLIDUS + 0x29: [1150,649,597,35,416], // RIGHT PARENTHESIS + 0x2F: [1150,649,811,56,754], // SOLIDUS 0x5B: [1150,649,472,224,455], // LEFT SQUARE BRACKET 0x5C: [1150,649,811,54,754], // REVERSE SOLIDUS 0x5D: [1150,649,472,16,247], // RIGHT SQUARE BRACKET 0x7B: [1150,649,667,119,547], // LEFT CURLY BRACKET - 0x7D: [1151,649,667,119,547], // RIGHT CURLY BRACKET + 0x7D: [1150,649,667,119,547], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [772,-565,1000,-5,1004], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [750,-611,1000,0,999], // SMALL TILDE @@ -41,8 +41,8 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size2'] = { 0x2211: [950,450,1444,55,1388], // N-ARY SUMMATION 0x221A: [1150,650,1000,111,1020], // SQUARE ROOT 0x222B: [1360,862,556,55,944], // INTEGRAL - 0x222C: [1361,862,1084,55,1473], // DOUBLE INTEGRAL - 0x222D: [1361,862,1592,55,1981], // TRIPLE INTEGRAL + 0x222C: [1360,862,1084,55,1472], // DOUBLE INTEGRAL + 0x222D: [1360,862,1592,55,1980], // TRIPLE INTEGRAL 0x222E: [1360,862,556,55,944], // CONTOUR INTEGRAL 0x22C0: [950,450,1111,55,1055], // N-ARY LOGICAL AND 0x22C1: [950,450,1111,55,1055], // N-ARY LOGICAL OR diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,25 +24,25 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size3'] = { testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [1450,949,736,209,701], // LEFT PARENTHESIS - 0x29: [1451,949,736,34,526], // RIGHT PARENTHESIS + 0x29: [1450,949,736,34,526], // RIGHT PARENTHESIS 0x2F: [1450,949,1044,55,989], // SOLIDUS 0x5B: [1450,949,528,247,516], // LEFT SQUARE BRACKET 0x5C: [1450,949,1044,56,988], // REVERSE SOLIDUS 0x5D: [1450,949,528,11,280], // RIGHT SQUARE BRACKET 0x7B: [1450,949,750,130,618], // LEFT CURLY BRACKET - 0x7D: [1451,949,750,131,618], // RIGHT CURLY BRACKET + 0x7D: [1450,949,750,131,618], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [772,-564,1444,-4,1447], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [749,-610,1444,1,1442], // SMALL TILDE 0x302: [772,-564,0,-1448,3], // COMBINING CIRCUMFLEX ACCENT 0x303: [749,-610,0,-1443,-2], // COMBINING TILDE - 0x221A: [1450,951,1000,111,1020], // SQUARE ROOT + 0x221A: [1450,950,1000,111,1020], // SQUARE ROOT 0x2308: [1450,949,583,246,571], // LEFT CEILING 0x2309: [1450,949,583,11,336], // RIGHT CEILING 0x230A: [1450,949,583,246,571], // LEFT FLOOR 0x230B: [1450,949,583,11,336], // RIGHT FLOOR 0x27E8: [1450,950,750,126,654], // MATHEMATICAL LEFT ANGLE BRACKET - 0x27E9: [1450,950,750,94,623] // MATHEMATICAL RIGHT ANGLE BRACKET + 0x27E9: [1450,949,750,94,623] // MATHEMATICAL RIGHT ANGLE BRACKET }; MathJax.Callback.Queue( diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,52 +24,52 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Size4'] = { testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [1750,1249,792,237,758], // LEFT PARENTHESIS - 0x29: [1751,1250,792,33,554], // RIGHT PARENTHESIS + 0x29: [1750,1249,792,33,554], // RIGHT PARENTHESIS 0x2F: [1750,1249,1278,56,1221], // SOLIDUS 0x5B: [1750,1249,583,269,577], // LEFT SQUARE BRACKET 0x5C: [1750,1249,1278,56,1221], // REVERSE SOLIDUS 0x5D: [1750,1249,583,5,313], // RIGHT SQUARE BRACKET - 0x7B: [1750,1249,806,144,662], // LEFT CURLY BRACKET - 0x7D: [1751,1249,806,144,662], // RIGHT CURLY BRACKET + 0x7B: [1750,1249,806,144,661], // LEFT CURLY BRACKET + 0x7D: [1750,1249,806,144,661], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [845,-561,1889,-14,1902], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [823,-583,1889,1,1885], // SMALL TILDE 0x302: [845,-561,0,-1903,13], // COMBINING CIRCUMFLEX ACCENT 0x303: [823,-583,0,-1888,-4], // COMBINING TILDE - 0x221A: [1750,1251,1000,111,1020], // SQUARE ROOT + 0x221A: [1750,1250,1000,111,1020], // SQUARE ROOT 0x2308: [1750,1249,639,269,633], // LEFT CEILING 0x2309: [1750,1249,639,5,369], // RIGHT CEILING 0x230A: [1750,1249,639,269,633], // LEFT FLOOR 0x230B: [1750,1249,639,5,369], // RIGHT FLOOR - 0x239B: [1155,655,875,290,843], // LEFT PARENTHESIS UPPER HOOK + 0x239B: [1154,655,875,291,843], // LEFT PARENTHESIS UPPER HOOK 0x239C: [610,10,875,291,417], // LEFT PARENTHESIS EXTENSION 0x239D: [1165,644,875,291,843], // LEFT PARENTHESIS LOWER HOOK - 0x239E: [1155,655,875,31,583], // RIGHT PARENTHESIS UPPER HOOK + 0x239E: [1154,655,875,31,583], // RIGHT PARENTHESIS UPPER HOOK 0x239F: [610,10,875,457,583], // RIGHT PARENTHESIS EXTENSION - 0x23A0: [1165,645,875,31,583], // RIGHT PARENTHESIS LOWER HOOK + 0x23A0: [1165,644,875,31,583], // RIGHT PARENTHESIS LOWER HOOK 0x23A1: [1154,645,667,319,666], // LEFT SQUARE BRACKET UPPER CORNER 0x23A2: [602,0,667,319,403], // LEFT SQUARE BRACKET EXTENSION 0x23A3: [1155,644,667,319,666], // LEFT SQUARE BRACKET LOWER CORNER 0x23A4: [1154,645,667,0,347], // RIGHT SQUARE BRACKET UPPER CORNER 0x23A5: [602,0,667,263,347], // RIGHT SQUARE BRACKET EXTENSION 0x23A6: [1155,644,667,0,347], // RIGHT SQUARE BRACKET LOWER CORNER - 0x23A7: [899,10,889,383,719], // LEFT CURLY BRACKET UPPER HOOK - 0x23A8: [1160,660,889,170,505], // LEFT CURLY BRACKET MIDDLE PIECE + 0x23A7: [899,10,889,384,718], // LEFT CURLY BRACKET UPPER HOOK + 0x23A8: [1160,660,889,170,504], // LEFT CURLY BRACKET MIDDLE PIECE 0x23A9: [10,899,889,384,718], // LEFT CURLY BRACKET LOWER HOOK - 0x23AA: [310,10,889,383,504], // CURLY BRACKET EXTENSION - 0x23AB: [900,11,889,170,504], // RIGHT CURLY BRACKET UPPER HOOK + 0x23AA: [310,10,889,384,504], // CURLY BRACKET EXTENSION + 0x23AB: [899,10,889,170,504], // RIGHT CURLY BRACKET UPPER HOOK 0x23AC: [1160,660,889,384,718], // RIGHT CURLY BRACKET MIDDLE PIECE - 0x23AD: [10,899,889,170,505], // RIGHT CURLY BRACKET LOWER HOOK + 0x23AD: [10,899,889,170,504], // RIGHT CURLY BRACKET LOWER HOOK 0x23B7: [935,885,1056,111,742], // RADICAL SYMBOL BOTTOM - 0x27E8: [1750,1249,806,140,703], // MATHEMATICAL LEFT ANGLE BRACKET - 0x27E9: [1751,1249,806,103,665], // MATHEMATICAL RIGHT ANGLE BRACKET - 0xE000: [625,15,1056,702,742], // MJ-TeX: radical symbol vertical extender - 0xE001: [605,15,1056,702,1076], // MJ-TeX: radical symbol top corner piece - 0xE150: [120,213,450,-24,461], // MJ-TeX: horizontal brace, down left piece - 0xE151: [120,214,450,-11,475], // MJ-TeX: horizontal brace, down right piece - 0xE152: [333,0,450,-24,461], // MJ-TeX: horizontal brace, upper left piece - 0xE153: [333,0,450,-11,475], // MJ-TeX: horizontal brace, upper right piece - 0xE154: [120,0,400,-10,410] // MJ-TeX: horizontal brace, extender + 0x27E8: [1750,1248,806,140,703], // MATHEMATICAL LEFT ANGLE BRACKET + 0x27E9: [1750,1248,806,103,665], // MATHEMATICAL RIGHT ANGLE BRACKET + 0xE000: [625,14,1056,702,742], // stix-radical symbol vertical extender + 0xE001: [605,14,1056,702,1076], // stix-radical symbol top corner piece + 0xE150: [120,213,450,-24,460], // stix-horizontal brace, down left piece + 0xE151: [120,213,450,-10,474], // stix-horizontal brace, down right piece + 0xE152: [333,0,450,-24,460], // stix-horizontal brace, upper left piece + 0xE153: [333,0,450,-10,474], // stix-horizontal brace, upper right piece + 0xE154: [120,0,400,-10,410] // stix-oblique open face capital letter A }; MathJax.Callback.Queue( diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,99 +24,99 @@ MathJax.Hub.Insert( 0x20: [0,0,250,0,0], // SPACE 0x21: [622,0,525,206,320], // EXCLAMATION MARK 0x22: [623,-333,525,122,402], // QUOTATION MARK - 0x23: [612,0,525,36,490], // NUMBER SIGN - 0x24: [695,83,525,58,467], // DOLLAR SIGN + 0x23: [611,0,525,36,489], // NUMBER SIGN + 0x24: [694,82,525,58,466], // DOLLAR SIGN 0x25: [694,83,525,35,489], // PERCENT SIGN 0x26: [622,11,525,28,490], // AMPERSAND 0x27: [611,-287,525,175,349], // APOSTROPHE - 0x28: [695,83,525,166,437], // LEFT PARENTHESIS + 0x28: [694,82,525,166,437], // LEFT PARENTHESIS 0x29: [694,82,525,87,358], // RIGHT PARENTHESIS 0x2A: [520,-90,525,68,456], // ASTERISK 0x2B: [531,-81,525,38,487], // PLUS SIGN 0x2C: [140,139,525,173,353], // COMMA - 0x2D: [341,-271,525,56,468], // HYPHEN-MINUS + 0x2D: [341,-271,525,57,468], // HYPHEN-MINUS 0x2E: [140,-1,525,193,332], // FULL STOP 0x2F: [694,83,525,58,466], // SOLIDUS 0x30: [621,10,525,42,482], // DIGIT ZERO - 0x31: [622,0,525,98,450], // DIGIT ONE - 0x32: [623,-1,525,52,473], // DIGIT TWO - 0x33: [622,12,525,44,479], // DIGIT THREE - 0x34: [624,-1,525,28,496], // DIGIT FOUR + 0x31: [622,-1,525,99,450], // DIGIT ONE + 0x32: [622,-1,525,52,472], // DIGIT TWO + 0x33: [622,11,525,44,479], // DIGIT THREE + 0x34: [624,-1,525,29,495], // DIGIT FOUR 0x35: [611,10,525,52,472], // DIGIT FIVE - 0x36: [622,11,525,45,480], // DIGIT SIX - 0x37: [628,10,525,43,480], // DIGIT SEVEN + 0x36: [622,11,525,45,479], // DIGIT SIX + 0x37: [627,10,525,44,480], // DIGIT SEVEN 0x38: [621,10,525,45,479], // DIGIT EIGHT - 0x39: [622,11,525,45,479], // DIGIT NINE + 0x39: [622,11,525,46,479], // DIGIT NINE 0x3A: [431,-1,525,193,332], // COLON 0x3B: [431,139,525,175,337], // SEMICOLON 0x3C: [557,-55,525,57,468], // LESS-THAN SIGN - 0x3D: [417,-195,525,37,487], // EQUALS SIGN + 0x3D: [417,-195,525,38,487], // EQUALS SIGN 0x3E: [557,-55,525,57,468], // GREATER-THAN SIGN 0x3F: [617,0,525,62,462], // QUESTION MARK 0x40: [617,6,525,44,481], // COMMERCIAL AT - 0x41: [624,0,525,27,497], // LATIN CAPITAL LETTER A - 0x42: [611,-1,525,16,482], // LATIN CAPITAL LETTER B - 0x43: [622,11,525,40,485], // LATIN CAPITAL LETTER C - 0x44: [612,-1,525,15,485], // LATIN CAPITAL LETTER D - 0x45: [611,-1,525,18,503], // LATIN CAPITAL LETTER E - 0x46: [611,-1,525,21,491], // LATIN CAPITAL LETTER F - 0x47: [622,11,525,38,497], // LATIN CAPITAL LETTER G - 0x48: [612,-1,525,16,508], // LATIN CAPITAL LETTER H - 0x49: [611,-1,525,71,453], // LATIN CAPITAL LETTER I - 0x4A: [611,11,525,56,479], // LATIN CAPITAL LETTER J - 0x4B: [612,-1,525,18,496], // LATIN CAPITAL LETTER K - 0x4C: [612,1,525,25,489], // LATIN CAPITAL LETTER L - 0x4D: [612,0,525,11,513], // LATIN CAPITAL LETTER M - 0x4E: [612,1,525,20,504], // LATIN CAPITAL LETTER N - 0x4F: [621,11,525,56,468], // LATIN CAPITAL LETTER O - 0x50: [612,-1,525,18,481], // LATIN CAPITAL LETTER P + 0x41: [623,-1,525,28,496], // LATIN CAPITAL LETTER A + 0x42: [611,-1,525,17,482], // LATIN CAPITAL LETTER B + 0x43: [622,11,525,40,484], // LATIN CAPITAL LETTER C + 0x44: [611,-1,525,16,485], // LATIN CAPITAL LETTER D + 0x45: [611,-1,525,19,502], // LATIN CAPITAL LETTER E + 0x46: [611,-1,525,22,490], // LATIN CAPITAL LETTER F + 0x47: [622,11,525,38,496], // LATIN CAPITAL LETTER G + 0x48: [611,-1,525,16,508], // LATIN CAPITAL LETTER H + 0x49: [611,-1,525,72,452], // LATIN CAPITAL LETTER I + 0x4A: [611,11,525,57,479], // LATIN CAPITAL LETTER J + 0x4B: [611,-1,525,18,495], // LATIN CAPITAL LETTER K + 0x4C: [611,0,525,25,488], // LATIN CAPITAL LETTER L + 0x4D: [611,-1,525,12,512], // LATIN CAPITAL LETTER M + 0x4E: [611,0,525,20,504], // LATIN CAPITAL LETTER N + 0x4F: [621,10,525,56,468], // LATIN CAPITAL LETTER O + 0x50: [611,-1,525,19,480], // LATIN CAPITAL LETTER P 0x51: [621,138,525,56,468], // LATIN CAPITAL LETTER Q - 0x52: [612,11,525,16,522], // LATIN CAPITAL LETTER R - 0x53: [622,12,525,51,472], // LATIN CAPITAL LETTER S - 0x54: [611,-1,525,26,499], // LATIN CAPITAL LETTER T - 0x55: [611,11,525,-4,528], // LATIN CAPITAL LETTER U - 0x56: [611,8,525,18,506], // LATIN CAPITAL LETTER V - 0x57: [612,8,525,11,513], // LATIN CAPITAL LETTER W - 0x58: [612,-1,525,27,496], // LATIN CAPITAL LETTER X - 0x59: [612,-1,525,19,505], // LATIN CAPITAL LETTER Y - 0x5A: [611,-1,525,47,482], // LATIN CAPITAL LETTER Z - 0x5B: [695,82,525,213,484], // LEFT SQUARE BRACKET + 0x52: [611,11,525,16,522], // LATIN CAPITAL LETTER R + 0x53: [622,11,525,52,472], // LATIN CAPITAL LETTER S + 0x54: [611,-1,525,26,498], // LATIN CAPITAL LETTER T + 0x55: [611,11,525,-3,528], // LATIN CAPITAL LETTER U + 0x56: [611,7,525,19,505], // LATIN CAPITAL LETTER V + 0x57: [611,7,525,12,512], // LATIN CAPITAL LETTER W + 0x58: [611,-1,525,28,495], // LATIN CAPITAL LETTER X + 0x59: [611,-1,525,20,505], // LATIN CAPITAL LETTER Y + 0x5A: [611,-1,525,48,481], // LATIN CAPITAL LETTER Z + 0x5B: [694,82,525,214,483], // LEFT SQUARE BRACKET 0x5C: [694,83,525,58,466], // REVERSE SOLIDUS - 0x5D: [696,82,525,41,310], // RIGHT SQUARE BRACKET - 0x5E: [612,-459,525,95,428], // CIRCUMFLEX ACCENT - 0x5F: [-25,95,525,56,468], // LOW LINE + 0x5D: [694,82,525,41,310], // RIGHT SQUARE BRACKET + 0x5E: [611,-460,525,96,428], // CIRCUMFLEX ACCENT + 0x5F: [-25,95,525,57,468], // LOW LINE 0x60: [681,-357,525,176,350], // GRAVE ACCENT - 0x61: [439,6,525,48,525], // LATIN SMALL LETTER A - 0x62: [612,6,525,4,492], // LATIN SMALL LETTER B - 0x63: [441,6,525,66,466], // LATIN SMALL LETTER C - 0x64: [612,6,525,31,520], // LATIN SMALL LETTER D + 0x61: [439,6,525,48,524], // LATIN SMALL LETTER A + 0x62: [611,6,525,4,492], // LATIN SMALL LETTER B + 0x63: [440,6,525,66,466], // LATIN SMALL LETTER C + 0x64: [611,6,525,31,520], // LATIN SMALL LETTER D 0x65: [440,6,525,48,464], // LATIN SMALL LETTER E - 0x66: [617,-1,525,34,437], // LATIN SMALL LETTER F + 0x66: [617,-1,525,35,437], // LATIN SMALL LETTER F 0x67: [442,229,525,28,509], // LATIN SMALL LETTER G - 0x68: [612,-1,525,4,520], // LATIN SMALL LETTER H - 0x69: [612,-1,525,71,463], // LATIN SMALL LETTER I - 0x6A: [612,228,525,48,377], // LATIN SMALL LETTER J - 0x6B: [612,0,525,12,508], // LATIN SMALL LETTER K - 0x6C: [611,-1,525,50,475], // LATIN SMALL LETTER L - 0x6D: [437,0,525,-13,536], // LATIN SMALL LETTER M - 0x6E: [437,-1,525,4,520], // LATIN SMALL LETTER N + 0x68: [611,-1,525,4,520], // LATIN SMALL LETTER H + 0x69: [612,-1,525,72,462], // LATIN SMALL LETTER I + 0x6A: [612,228,525,48,376], // LATIN SMALL LETTER J + 0x6B: [611,-1,525,13,507], // LATIN SMALL LETTER K + 0x6C: [611,-1,525,51,474], // LATIN SMALL LETTER L + 0x6D: [436,-1,525,-12,536], // LATIN SMALL LETTER M + 0x6E: [436,-1,525,4,520], // LATIN SMALL LETTER N 0x6F: [440,6,525,52,472], // LATIN SMALL LETTER O 0x70: [437,221,525,4,492], // LATIN SMALL LETTER P - 0x71: [438,222,525,34,546], // LATIN SMALL LETTER Q - 0x72: [437,0,525,24,487], // LATIN SMALL LETTER R - 0x73: [440,6,525,71,458], // LATIN SMALL LETTER S - 0x74: [555,6,525,25,448], // LATIN SMALL LETTER T - 0x75: [432,5,525,4,520], // LATIN SMALL LETTER U - 0x76: [432,5,525,24,500], // LATIN SMALL LETTER V - 0x77: [432,5,525,15,509], // LATIN SMALL LETTER W - 0x78: [432,-1,525,28,496], // LATIN SMALL LETTER X - 0x79: [432,228,525,25,500], // LATIN SMALL LETTER Y - 0x7A: [431,-1,525,33,476], // LATIN SMALL LETTER Z - 0x7B: [694,84,525,49,475], // LEFT CURLY BRACKET + 0x71: [437,221,525,34,545], // LATIN SMALL LETTER Q + 0x72: [437,-1,525,24,487], // LATIN SMALL LETTER R + 0x73: [440,6,525,72,458], // LATIN SMALL LETTER S + 0x74: [554,6,525,25,448], // LATIN SMALL LETTER T + 0x75: [431,5,525,4,520], // LATIN SMALL LETTER U + 0x76: [431,4,525,24,500], // LATIN SMALL LETTER V + 0x77: [431,4,525,16,508], // LATIN SMALL LETTER W + 0x78: [431,-1,525,29,495], // LATIN SMALL LETTER X + 0x79: [431,228,525,26,500], // LATIN SMALL LETTER Y + 0x7A: [431,-1,525,34,475], // LATIN SMALL LETTER Z + 0x7B: [694,83,525,50,475], // LEFT CURLY BRACKET 0x7C: [694,82,525,228,297], // VERTICAL LINE - 0x7D: [695,83,525,49,476], // RIGHT CURLY BRACKET + 0x7D: [694,83,525,49,475], // RIGHT CURLY BRACKET 0x7E: [611,-466,525,87,437], // TILDE - 0x7F: [612,-518,525,104,421] // ?? + 0x7F: [612,-519,525,104,421] // ?? } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -23,13 +23,13 @@ MathJax.Hub.Insert( { 0x300: [611,-485,0,-409,-195], // COMBINING GRAVE ACCENT 0x301: [611,-485,0,-331,-117], // COMBINING ACUTE ACCENT - 0x302: [612,-459,0,-430,-97], // COMBINING CIRCUMFLEX ACCENT + 0x302: [611,-460,0,-429,-97], // COMBINING CIRCUMFLEX ACCENT 0x303: [611,-466,0,-438,-88], // COMBINING TILDE - 0x304: [578,-500,0,-453,-74], // COMBINING MACRON - 0x306: [612,-503,0,-446,-78], // COMBINING BREVE - 0x308: [612,-518,0,-421,-104], // COMBINING DIAERESIS + 0x304: [577,-500,0,-452,-74], // COMBINING MACRON + 0x306: [611,-504,0,-446,-79], // COMBINING BREVE + 0x308: [612,-519,0,-421,-104], // COMBINING DIAERESIS 0x30A: [619,-499,0,-344,-182], // COMBINING RING ABOVE - 0x30C: [577,-449,0,-428,-99] // COMBINING CARON + 0x30C: [577,-449,0,-427,-99] // COMBINING CARON } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Typewriter'] = { directory: 'Typewriter/Regular', family: 'MathJax_Typewriter', - testString: "MathJax Typewriter", + testString: "MathJax Typewriter |", Ranges: [ [0x0,0x7F,"BasicLatin"], [0x80,0xFFFF,"Other"], diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,19 +22,19 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_Typewriter'], { 0xA0: [0,0,250,0,0], // NO-BREAK SPACE - 0x131: [432,-1,525,71,463], // LATIN SMALL LETTER DOTLESS I - 0x237: [432,228,525,48,377], // LATIN SMALL LETTER DOTLESS J - 0x393: [612,1,525,25,489], // GREEK CAPITAL LETTER GAMMA + 0x131: [431,-1,525,72,462], // LATIN SMALL LETTER DOTLESS I + 0x237: [431,228,525,48,376], // LATIN SMALL LETTER DOTLESS J + 0x393: [611,0,525,25,488], // GREEK CAPITAL LETTER GAMMA 0x394: [623,0,525,35,489], // GREEK CAPITAL LETTER DELTA - 0x398: [621,11,525,56,468], // GREEK CAPITAL LETTER THETA - 0x39B: [623,-1,525,29,496], // GREEK CAPITAL LETTER LAMDA - 0x39E: [611,-1,525,32,492], // GREEK CAPITAL LETTER XI + 0x398: [621,10,525,56,468], // GREEK CAPITAL LETTER THETA + 0x39B: [623,-1,525,30,495], // GREEK CAPITAL LETTER LAMDA + 0x39E: [611,-1,525,33,491], // GREEK CAPITAL LETTER XI 0x3A0: [611,-1,525,16,508], // GREEK CAPITAL LETTER PI - 0x3A3: [612,-1,525,40,485], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [623,-1,525,38,487], // GREEK CAPITAL LETTER UPSILON + 0x3A3: [611,-1,525,40,484], // GREEK CAPITAL LETTER SIGMA + 0x3A5: [622,-1,525,38,486], // GREEK CAPITAL LETTER UPSILON 0x3A6: [611,-1,525,41,483], // GREEK CAPITAL LETTER PHI - 0x3A8: [611,-1,525,36,487], // GREEK CAPITAL LETTER PSI - 0x3A9: [622,0,525,31,493], // GREEK CAPITAL LETTER OMEGA + 0x3A8: [611,-1,525,37,487], // GREEK CAPITAL LETTER PSI + 0x3A9: [622,-1,525,32,492], // GREEK CAPITAL LETTER OMEGA 0x7E2: [611,-287,525,175,349], // ?? 0x7E3: [681,-357,525,176,350], // ?? 0x2032: [623,-334,525,211,313] // PRIME diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,21 +21,21 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinChrome'] = { directory: 'WinChrome/Regular', family: 'MathJax_WinChrome', - testString: "> T d "+String.fromCharCode(0x23A6)+" "+String.fromCharCode(0x2A00), + testString: "> T d \u23A6 \u2A00", skew: { 0x54: 0.0278, 0xE2F0: 0.0319 }, 0x20: [0,0,250,0,0], // SPACE - 0x3E: [540,40,778,82,694], // GREATER-THAN SIGN - 0x54: [717,69,545,34,834], // LATIN CAPITAL LETTER T - 0x64: [694,11,511,100,567], // LATIN SMALL LETTER D + 0x3E: [540,40,778,83,694], // GREATER-THAN SIGN + 0x54: [717,68,545,34,833], // LATIN CAPITAL LETTER T + 0x64: [694,11,511,101,567], // LATIN SMALL LETTER D 0xA0: [0,0,250,0,0], // NO-BREAK SPACE - 0x22C3: [750,250,833,55,777], // N-ARY UNION + 0x22C3: [750,249,833,55,777], // N-ARY UNION 0x23A6: [1155,644,667,0,347], // RIGHT SQUARE BRACKET LOWER CORNER 0x2A00: [949,449,1511,56,1454], // N-ARY CIRCLED DOT OPERATOR - 0xE2F0: [720,69,644,38,947], // ?? - 0xE2F1: [587,85,894,95,797] // ?? + 0xE2F0: [720,69,644,38,947], // stix-lowercase u italic slashed + 0xE2F1: [587,85,894,96,797] // stix-lowercase u bold italic slashed }; MathJax.Callback.Queue( diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,35 +21,35 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'], { - 0xE2C0: [438,-63,500,57,417], // ?? - 0xE2C1: [438,-63,500,64,422], // ?? - 0xE2C2: [430,23,222,91,131], // ?? - 0xE2C3: [431,23,389,55,331], // ?? - 0xE2C4: [365,-132,778,55,719], // ?? - 0xE2C5: [753,175,778,83,694], // ?? - 0xE2C6: [753,175,778,82,694], // ?? - 0xE2C7: [708,209,778,82,693], // ?? - 0xE2C8: [708,209,778,82,694], // ?? - 0xE2CA: [694,-306,500,54,444], // ?? - 0xE2CB: [695,-306,500,55,444], // ?? - 0xE2CC: [367,23,500,54,444], // ?? - 0xE2CD: [366,22,500,55,445], // ?? - 0xE2CE: [694,195,889,0,860], // ?? - 0xE2CF: [694,195,889,0,860], // ?? - 0xE2D0: [689,0,778,55,722], // ?? - 0xE2D1: [689,0,778,55,722], // ?? - 0xE2D2: [575,20,722,84,637], // ?? - 0xE2D3: [575,20,722,84,637], // ?? - 0xE2D4: [539,41,778,83,694], // ?? - 0xE2D5: [576,20,722,84,638], // ?? - 0xE2D6: [576,20,722,84,638], // ?? - 0xE2D7: [539,41,778,83,694], // ?? - 0xE2D8: [716,132,667,56,612], // ?? - 0xE2D9: [471,82,667,24,643], // ?? - 0xE2DA: [471,82,667,23,643], // ?? - 0xE2DB: [601,101,778,15,762], // ?? - 0xE2DC: [695,111,944,49,896], // ?? - 0xE2DD: [367,-133,778,56,722] // ?? + 0xE2C0: [437,-64,500,58,417], // stix-capital W italic slashed + 0xE2C1: [437,-64,500,64,422], // stix-capital W bold italic slashed + 0xE2C2: [430,23,222,91,131], // stix-capital X italic slashed + 0xE2C3: [431,23,389,55,331], // stix-capital X bold italic slashed + 0xE2C4: [365,-132,778,55,719], // stix-capital Y italic slashed + 0xE2C5: [753,175,778,83,694], // stix-capital Y bold italic slashed + 0xE2C6: [753,175,778,83,694], // stix-capital Z italic slashed + 0xE2C7: [708,209,778,82,693], // stix-capital Z bold italic slashed + 0xE2C8: [708,209,778,82,693], // stix-lowercase a italic slashed + 0xE2CA: [694,-306,500,55,444], // stix-lowercase b italic slashed + 0xE2CB: [694,-306,500,55,444], // stix-lowercase b bold italic slashed + 0xE2CC: [366,22,500,55,444], // stix-lowercase c italic slashed + 0xE2CD: [366,22,500,55,444], // stix-lowercase c bold italic slashed + 0xE2CE: [694,195,889,0,860], // stix-lowercase d italic slashed + 0xE2CF: [694,195,889,0,860], // stix-lowercase d bold italic slashed + 0xE2D0: [689,0,778,55,722], // stix-lowercase e italic slashed + 0xE2D1: [689,0,778,55,722], // stix-lowercase e bold italic slashed + 0xE2D2: [575,20,722,84,637], // stix-lowercase f italic slashed + 0xE2D3: [575,20,722,84,637], // stix-lowercase f bold italic slashed + 0xE2D4: [539,41,778,83,694], // stix-lowercase g italic slashed + 0xE2D5: [576,19,722,84,637], // stix-lowercase g bold italic slashed + 0xE2D6: [576,19,722,84,637], // stix-lowercase h italic slashed + 0xE2D7: [539,41,778,83,694], // stix-lowercase h bold italic slashed + 0xE2D8: [716,132,667,56,611], // stix-lowercase i italic slashed + 0xE2D9: [471,82,667,24,643], // stix-lowercase i bold italic slashed + 0xE2DA: [471,82,667,23,643], // stix-lowercase j italic slashed + 0xE2DB: [601,101,778,15,762], // stix-lowercase j bold italic slashed + 0xE2DC: [694,111,944,49,895], // stix-lowercase k italic slashed + 0xE2DD: [367,-133,778,56,722] // stix-lowercase k bold italic slashed } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,61 +21,61 @@ MathJax.Hub.Insert( MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'], { - 0xE240: [519,18,1150,64,1085], // ?? - 0xE241: [694,193,575,13,562], // ?? - 0xE242: [519,18,1150,65,1085], // ?? - 0xE243: [694,194,575,13,562], // ?? - 0xE244: [519,18,1150,64,1085], // ?? - 0xE245: [767,267,575,13,562], // ?? - 0xE246: [724,195,1150,64,1084], // ?? - 0xE247: [724,193,1150,64,1086], // ?? - 0xE248: [695,224,1150,65,1085], // ?? - 0xE249: [694,224,1150,64,1085], // ?? - 0xE24A: [548,47,1150,64,1084], // ?? - 0xE24B: [548,46,1150,47,1102], // ?? - 0xE24C: [694,16,639,0,640], // ?? - 0xE24D: [710,17,628,60,657], // ?? - 0xE24E: [694,-1,639,64,574], // ?? - 0xE24F: [686,24,958,56,901], // ?? - 0xE250: [587,86,767,97,670], // ?? - 0xE251: [588,86,767,95,670], // ?? - 0xE252: [750,250,575,63,511], // ?? - 0xE253: [820,180,958,78,989], // ?? - 0xE254: [451,8,894,65,831], // ?? - 0xE255: [452,8,1150,65,1084], // ?? - 0xE256: [715,0,722,55,676], // ?? - 0xE257: [750,249,319,129,190], // ?? - 0xE258: [750,248,575,145,430], // ?? - 0xE259: [604,17,767,64,702], // ?? - 0xE25A: [604,17,767,64,702], // ?? - 0xE25B: [603,16,767,64,702], // ?? - 0xE25C: [604,16,767,64,702], // ?? - 0xE25D: [711,211,569,64,632], // ?? - 0xE25E: [391,-109,894,64,828], // ?? - 0xE25F: [524,-32,894,64,829], // ?? - 0xE260: [712,210,894,64,830], // ?? - 0xE261: [505,3,894,64,829], // ?? - 0xE262: [697,199,894,96,797], // ?? - 0xE263: [697,199,894,96,797], // ?? - 0xE264: [618,117,1150,64,1085], // ?? - 0xE265: [619,116,1150,64,1085], // ?? - 0xE266: [587,85,894,96,797], // ?? - 0xE267: [587,86,894,96,797], // ?? - 0xE268: [697,199,894,96,797], // ?? - 0xE269: [697,199,894,96,797], // ?? - 0xE26A: [632,132,894,64,828], // ?? - 0xE26B: [632,132,894,64,828], // ?? - 0xE26C: [693,-1,894,64,829], // ?? - 0xE26D: [711,-1,1022,68,953], // ?? - 0xE26E: [500,210,1022,68,953], // ?? - 0xE26F: [711,211,1150,65,1084], // ?? - 0xE270: [720,130,894,63,829], // ?? - 0xE271: [711,24,894,65,828], // ?? - 0xE272: [719,154,894,64,828], // ?? - 0xE273: [720,130,894,32,861], // ?? - 0xE274: [750,17,447,63,382], // ?? - 0xE275: [741,223,447,56,390], // ?? - 0xE276: [724,224,447,63,383] // ?? + 0xE240: [518,17,1150,64,1084], // stix-mathematical calligraphic capital T + 0xE241: [694,193,575,14,561], // stix-mathematical calligraphic capital U + 0xE242: [518,17,1150,65,1085], // stix-mathematical calligraphic capital V + 0xE243: [694,194,575,14,561], // stix-mathematical calligraphic capital W + 0xE244: [518,17,1150,64,1085], // stix-mathematical calligraphic capital X + 0xE245: [767,267,575,14,561], // stix-mathematical calligraphic capital Y + 0xE246: [724,194,1150,64,1084], // stix-mathematical calligraphic capital Z + 0xE247: [724,193,1150,64,1085], // stix-mathematical bold calligraphic capital A + 0xE248: [694,224,1150,65,1085], // stix-mathematical bold calligraphic capital B + 0xE249: [694,224,1150,64,1085], // stix-mathematical bold calligraphic capital C + 0xE24A: [547,46,1150,64,1084], // stix-mathematical bold calligraphic capital D + 0xE24B: [547,46,1150,47,1102], // stix-mathematical bold calligraphic capital E + 0xE24C: [694,16,639,1,640], // stix-mathematical bold calligraphic capital F + 0xE24D: [710,17,628,60,657], // stix-mathematical bold calligraphic capital G + 0xE24E: [694,-1,639,64,574], // stix-mathematical bold calligraphic capital H + 0xE24F: [686,24,958,56,901], // stix-mathematical bold calligraphic capital I + 0xE250: [587,86,767,97,670], // stix-mathematical bold calligraphic capital J + 0xE251: [587,86,767,96,670], // stix-mathematical bold calligraphic capital K + 0xE252: [750,250,575,63,511], // stix-mathematical bold calligraphic capital L + 0xE253: [820,180,958,78,988], // stix-mathematical bold calligraphic capital M + 0xE254: [451,8,894,65,830], // stix-mathematical bold calligraphic capital N + 0xE255: [452,8,1150,65,1084], // stix-mathematical bold calligraphic capital O + 0xE256: [714,0,722,55,676], // stix-mathematical bold calligraphic capital Q + 0xE257: [750,249,319,129,190], // stix-mathematical bold calligraphic capital P + 0xE258: [750,248,575,145,430], // stix-mathematical bold calligraphic capital R + 0xE259: [604,17,767,64,702], // stix-mathematical bold calligraphic capital S + 0xE25A: [604,16,767,64,702], // stix-mathematical bold calligraphic capital T + 0xE25B: [603,16,767,64,702], // stix-mathematical bold calligraphic capital U + 0xE25C: [604,16,767,64,702], // stix-mathematical bold calligraphic capital V + 0xE25D: [711,211,569,64,632], // stix-mathematical bold calligraphic capital W + 0xE25E: [391,-109,894,64,828], // stix-mathematical bold calligraphic capital X + 0xE25F: [524,-32,894,64,829], // stix-mathematical bold calligraphic capital Y + 0xE260: [711,210,894,64,829], // stix-mathematical bold calligraphic capital Z + 0xE261: [505,3,894,64,829], // stix-old style digit 0 + 0xE262: [697,199,894,96,797], // stix-old style digit 0 + 0xE263: [697,199,894,96,797], // stix-old style digit 0 + 0xE264: [617,116,1150,64,1085], // stix-old style digit 0 + 0xE265: [618,116,1150,64,1085], // stix-old style digit 1 + 0xE266: [587,85,894,96,797], // stix-old style digit 1 + 0xE267: [587,86,894,96,796], // stix-old style digit 1 + 0xE268: [697,199,894,96,797], // stix-old style digit 1 + 0xE269: [697,199,894,96,796], // stix-old style digit 2 + 0xE26A: [632,132,894,64,828], // stix-old style digit 2 + 0xE26B: [632,132,894,64,828], // stix-old style digit 2 + 0xE26C: [693,-1,894,65,829], // stix-old style digit 2 + 0xE26D: [711,-1,1022,69,953], // stix-old style digit 3 + 0xE26E: [500,210,1022,68,953], // stix-old style digit 3 + 0xE26F: [711,211,1150,65,1084], // stix-old style digit 3 + 0xE270: [719,129,894,64,829], // stix-old style digit 3 + 0xE271: [711,24,894,65,828], // stix-old style digit 4 + 0xE272: [719,154,894,64,828], // stix-old style digit 4 + 0xE273: [719,129,894,32,861], // stix-old style digit 4 + 0xE274: [750,17,447,64,381], // stix-old style digit 4 + 0xE275: [741,223,447,57,389], // stix-old style digit 5 + 0xE276: [724,224,447,63,382] // stix-old style digit 5 } ); diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js * - * Copyright (c) 2009-2010 Design Science, Inc. + * Copyright (c) 2009-2012 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'] = { directory: 'WinIE6/Regular', family: 'MathJax_WinIE6', - testString: String.fromCharCode(0xE247)+" "+String.fromCharCode(0xE257)+" "+String.fromCharCode(0xE2CF), + testString: "\uE247 \uE257 \uE2CF", skew: { 0xE20D: 0.0833, 0xE24D: 0.0958 @@ -32,78 +32,78 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['MathJax_WinIE6'] = { ], 0x20: [0,0,250,0,0], // SPACE 0xA0: [0,0,250,0,0], // NO-BREAK SPACE - 0xE200: [511,12,1000,54,944], // ?? - 0xE201: [694,194,500,17,483], // ?? - 0xE202: [512,11,1000,55,945], // ?? - 0xE203: [694,194,500,17,483], // ?? - 0xE204: [511,11,1000,55,945], // ?? - 0xE205: [772,272,500,17,483], // ?? - 0xE206: [720,196,1000,29,944], // ?? - 0xE207: [720,195,1000,55,970], // ?? - 0xE208: [695,220,1000,55,970], // ?? - 0xE209: [695,220,1000,29,944], // ?? - 0xE20A: [525,25,1000,55,944], // ?? - 0xE20B: [525,25,1000,34,966], // ?? - 0xE20C: [694,22,556,0,556], // ?? - 0xE20D: [715,22,531,41,566], // ?? - 0xE20E: [694,0,556,55,500], // ?? - 0xE20F: [683,33,833,46,786], // ?? - 0xE210: [541,41,667,84,584], // ?? - 0xE211: [541,40,667,83,582], // ?? - 0xE212: [751,250,500,56,445], // ?? - 0xE213: [800,200,833,72,853], // ?? - 0xE214: [442,11,778,56,722], // ?? - 0xE215: [442,11,1000,55,944], // ?? + 0xE200: [511,11,1000,55,944], // stix-mathematical bold oblique double-struck capital A + 0xE201: [694,193,500,17,483], // stix-mathematical bold oblique double-struck capital B + 0xE202: [511,11,1000,56,944], // ?? + 0xE203: [694,194,500,17,483], // stix-mathematical bold oblique double-struck capital E + 0xE204: [511,11,1000,55,944], // stix-mathematical bold oblique double-struck capital F + 0xE205: [772,272,500,17,483], // stix-mathematical bold oblique double-struck capital G + 0xE206: [720,195,1000,29,944], // stix-mathematical bold oblique double-struck capital I + 0xE207: [720,195,1000,55,970], // stix-mathematical bold oblique double-struck capital J + 0xE208: [695,220,1000,55,970], // stix-mathematical bold oblique double-struck capital K + 0xE209: [695,220,1000,29,944], // stix-mathematical bold oblique double-struck capital L + 0xE20A: [525,24,1000,56,944], // stix-mathematical bold oblique double-struck capital M + 0xE20B: [526,25,1000,34,966], // stix-mathematical bold oblique double-struck capital O + 0xE20C: [694,22,556,0,556], // stix-mathematical bold oblique double-struck capital S + 0xE20D: [715,22,531,42,566], // stix-mathematical bold oblique double-struck capital T + 0xE20E: [694,0,556,56,500], // stix-mathematical bold oblique double-struck capital U + 0xE20F: [683,33,833,46,786], // stix-mathematical bold oblique double-struck capital V + 0xE210: [540,40,667,84,583], // stix-mathematical bold oblique double-struck capital W + 0xE211: [540,40,667,83,582], // stix-mathematical bold oblique double-struck capital X + 0xE212: [750,250,500,56,445], // stix-mathematical bold oblique double-struck capital Y + 0xE213: [800,200,833,72,853], // stix-mathematical bold oblique double-struck small letter a + 0xE214: [442,11,778,56,722], // stix-mathematical bold oblique double-struck small letter b + 0xE215: [442,11,1000,55,944], // stix-mathematical bold oblique double-struck small letter c 0xE216: [694,0,722,55,666], // ?? - 0xE217: [750,250,278,119,159], // ?? - 0xE218: [750,250,500,132,367], // ?? - 0xE219: [598,22,667,55,611], // ?? - 0xE21A: [598,22,667,55,611], // ?? + 0xE217: [750,249,278,119,159], // ?? + 0xE218: [750,250,500,132,367], // stix-mathematical bold oblique double-struck small letter f + 0xE219: [598,22,667,55,611], // stix-mathematical bold oblique double-struck small letter g + 0xE21A: [598,22,667,55,611], // stix-mathematical bold oblique double-struck small letter h 0xE21B: [598,22,667,55,611], // ?? - 0xE21C: [599,22,667,55,611], // ?? - 0xE21D: [716,216,417,55,472], // ?? - 0xE21E: [367,-133,778,55,722], // ?? - 0xE21F: [483,-55,778,55,722], // ?? - 0xE220: [716,215,778,55,722], // ?? - 0xE221: [464,-36,778,55,722], // ?? - 0xE222: [636,138,778,83,694], // ?? - 0xE223: [636,138,778,82,694], // ?? - 0xE224: [568,68,1000,56,944], // ?? - 0xE225: [567,67,1000,55,945], // ?? - 0xE226: [540,41,778,84,695], // ?? - 0xE227: [541,40,778,82,693], // ?? - 0xE228: [636,139,778,84,695], // ?? - 0xE229: [637,138,778,83,693], // ?? - 0xE22A: [583,83,778,56,722], // ?? - 0xE22B: [583,83,778,56,722], // ?? - 0xE22C: [668,0,778,55,723], // ?? - 0xE22D: [716,0,889,59,828], // ?? - 0xE22E: [500,215,889,59,828], // ?? - 0xE22F: [715,215,1000,56,944], // ?? - 0xE230: [727,131,778,55,723], // ?? - 0xE231: [716,33,778,55,723], // ?? - 0xE232: [727,163,778,55,723], // ?? - 0xE233: [726,131,778,28,750], // ?? - 0xE234: [751,22,389,54,333], // ?? - 0xE235: [734,223,389,65,324], // ?? - 0xE236: [723,223,389,54,334], // ?? - 0xE280: [0,1000,944,55,888], // ?? - 0xE281: [1,1000,1056,56,999], // ?? - 0xE282: [40,1160,1000,111,1020], // ?? - 0xE283: [21,621,333,145,188], // ?? - 0xE284: [21,621,556,145,410], // ?? - 0xE285: [0,1111,472,55,610], // ?? - 0xE286: [0,1111,472,55,610], // ?? - 0xE287: [0,600,667,112,555], // ?? - 0xE288: [0,600,667,112,555], // ?? + 0xE21C: [598,22,667,55,611], // ?? + 0xE21D: [716,216,417,55,472], // stix-mathematical bold oblique double-struck small letter k + 0xE21E: [367,-133,778,55,722], // stix-mathematical bold oblique double-struck small letter l + 0xE21F: [483,-55,778,55,722], // stix-mathematical bold oblique double-struck small letter m + 0xE220: [716,215,778,56,722], // stix-mathematical bold oblique double-struck small letter n + 0xE221: [464,-36,778,56,722], // stix-mathematical bold oblique double-struck small letter o + 0xE222: [636,138,778,83,694], // stix-mathematical bold oblique double-struck small letter p + 0xE223: [636,138,778,83,694], // stix-mathematical bold oblique double-struck small letter q + 0xE224: [568,67,1000,56,944], // stix-mathematical bold oblique double-struck small letter r + 0xE225: [567,67,1000,55,944], // stix-mathematical bold oblique double-struck small letter s + 0xE226: [540,40,778,84,694], // stix-mathematical bold oblique double-struck small letter t + 0xE227: [540,40,778,83,693], // stix-mathematical bold oblique double-struck small letter u + 0xE228: [636,138,778,84,694], // stix-mathematical bold oblique double-struck small letter v + 0xE229: [636,138,778,83,693], // stix-mathematical bold oblique double-struck small letter w + 0xE22A: [583,83,778,56,722], // stix-mathematical bold oblique double-struck small letter x + 0xE22B: [583,83,778,56,722], // stix-mathematical bold oblique double-struck small letter y + 0xE22C: [668,0,778,55,723], // stix-mathematical bold oblique double-struck small letter z + 0xE22D: [716,0,889,59,828], // stix-mathematical calligraphic capital A + 0xE22E: [500,215,889,59,828], // stix-mathematical calligraphic capital B + 0xE22F: [715,215,1000,56,944], // stix-mathematical calligraphic capital C + 0xE230: [727,130,778,55,723], // stix-mathematical calligraphic capital D + 0xE231: [716,33,778,55,723], // stix-mathematical calligraphic capital E + 0xE232: [727,162,778,55,723], // stix-mathematical calligraphic capital F + 0xE233: [726,130,778,28,750], // stix-mathematical calligraphic capital G + 0xE234: [750,22,389,55,332], // stix-mathematical calligraphic capital H + 0xE235: [734,223,389,65,324], // stix-mathematical calligraphic capital I + 0xE236: [723,223,389,55,333], // stix-mathematical calligraphic capital J + 0xE280: [0,1000,944,55,888], // stix-old style digit 7 + 0xE281: [0,1000,1056,56,999], // stix-old style digit 8 + 0xE282: [40,1160,1000,111,1020], // stix-old style digit 8 + 0xE283: [21,621,333,145,188], // stix-old style digit 8 + 0xE284: [21,621,556,145,410], // stix-old style digit 8 + 0xE285: [0,1111,472,55,610], // stix-old style digit 9 + 0xE286: [0,1111,472,55,610], // stix-old style digit 9 + 0xE287: [0,600,667,112,555], // stix-old style digit 9 + 0xE288: [0,600,667,112,555], // stix-old style digit 9 0xE289: [1,601,667,312,355], // ?? - 0xE290: [0,1400,1278,56,1221], // ?? - 0xE291: [0,1400,1444,55,1388], // ?? - 0xE292: [40,1760,1000,111,1020], // ?? - 0xE295: [0,2222,556,55,944], // ?? - 0xE296: [0,2222,556,55,944], // ?? - 0xE2A2: [40,2361,1000,111,1020], // ?? - 0xE2B2: [40,2961,1000,111,1020] // ?? + 0xE290: [0,1400,1278,56,1221], // stix-long horizontal extender at baseline + 0xE291: [0,1400,1444,55,1388], // stix-short horizontal extender, high + 0xE292: [40,1760,1000,111,1020], // stix-two summation signs next to each other + 0xE295: [0,2222,556,55,944], // stix-capital A bold italic slashed + 0xE296: [0,2222,556,55,944], // stix-capital B italic slashed + 0xE2A2: [40,2360,1000,111,1020], // stix-capital H italic slashed + 0xE2B2: [40,2960,1000,111,1020] // stix-capital P italic slashed }; MathJax.Callback.Queue( diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js @@ -605,39 +605,39 @@ }, 0x20: [0,0,250,0,0], // SPACE 0x30: [452,22,500,39,460], // DIGIT ZERO - 0x31: [454,0,500,86,426], // DIGIT ONE + 0x31: [453,0,500,86,426], // DIGIT ONE 0x32: [453,0,500,44,449], // DIGIT TWO - 0x33: [452,216,500,41,456], // DIGIT THREE - 0x34: [464,194,500,27,471], // DIGIT FOUR - 0x35: [453,217,500,50,448], // DIGIT FIVE - 0x36: [666,22,500,42,456], // DIGIT SIX - 0x37: [463,216,500,54,485], // DIGIT SEVEN - 0x38: [666,21,500,43,457], // DIGIT EIGHT + 0x33: [452,216,500,42,456], // DIGIT THREE + 0x34: [464,194,500,28,471], // DIGIT FOUR + 0x35: [453,216,500,50,448], // DIGIT FIVE + 0x36: [665,22,500,42,456], // DIGIT SIX + 0x37: [463,216,500,55,485], // DIGIT SEVEN + 0x38: [666,21,500,43,456], // DIGIT EIGHT 0x39: [453,216,500,42,457], // DIGIT NINE 0x41: [728,50,798,30,819], // LATIN CAPITAL LETTER A - 0x42: [705,22,657,31,664], // LATIN CAPITAL LETTER B + 0x42: [705,22,657,32,664], // LATIN CAPITAL LETTER B 0x43: [705,25,527,12,533], // LATIN CAPITAL LETTER C - 0x44: [684,1,771,19,767], // LATIN CAPITAL LETTER D - 0x45: [706,22,528,30,565], // LATIN CAPITAL LETTER E + 0x44: [683,0,771,19,766], // LATIN CAPITAL LETTER D + 0x45: [705,22,528,30,564], // LATIN CAPITAL LETTER E 0x46: [683,32,719,18,829], // LATIN CAPITAL LETTER F - 0x47: [704,119,595,43,599], // LATIN CAPITAL LETTER G + 0x47: [704,119,595,44,599], // LATIN CAPITAL LETTER G 0x48: [683,48,845,18,803], // LATIN CAPITAL LETTER H - 0x49: [683,1,545,-31,642], // LATIN CAPITAL LETTER I + 0x49: [683,0,545,-30,642], // LATIN CAPITAL LETTER I 0x4A: [683,119,678,47,839], // LATIN CAPITAL LETTER J - 0x4B: [705,23,762,32,733], // LATIN CAPITAL LETTER K - 0x4C: [706,22,690,32,656], // LATIN CAPITAL LETTER L + 0x4B: [705,22,762,32,732], // LATIN CAPITAL LETTER K + 0x4C: [705,22,690,32,656], // LATIN CAPITAL LETTER L 0x4D: [705,50,1201,28,1137], // LATIN CAPITAL LETTER M - 0x4E: [790,50,820,-27,979], // LATIN CAPITAL LETTER N + 0x4E: [789,50,820,-27,979], // LATIN CAPITAL LETTER N 0x4F: [705,22,796,58,777], // LATIN CAPITAL LETTER O - 0x50: [684,57,696,19,733], // LATIN CAPITAL LETTER P - 0x51: [706,131,817,114,787], // LATIN CAPITAL LETTER Q - 0x52: [683,22,848,19,837], // LATIN CAPITAL LETTER R - 0x53: [705,23,606,17,642], // LATIN CAPITAL LETTER S - 0x54: [717,69,545,34,834], // LATIN CAPITAL LETTER T - 0x55: [684,28,626,-17,687], // LATIN CAPITAL LETTER U + 0x50: [683,57,696,19,733], // LATIN CAPITAL LETTER P + 0x51: [705,131,817,114,787], // LATIN CAPITAL LETTER Q + 0x52: [682,22,848,19,837], // LATIN CAPITAL LETTER R + 0x53: [705,22,606,18,642], // LATIN CAPITAL LETTER S + 0x54: [717,68,545,34,833], // LATIN CAPITAL LETTER T + 0x55: [683,28,626,-17,687], // LATIN CAPITAL LETTER U 0x56: [683,52,613,25,658], // LATIN CAPITAL LETTER V 0x57: [683,53,988,25,1034], // LATIN CAPITAL LETTER W - 0x58: [684,1,713,52,807], // LATIN CAPITAL LETTER X + 0x58: [683,0,713,52,807], // LATIN CAPITAL LETTER X 0x59: [683,143,668,31,714], // LATIN CAPITAL LETTER Y 0x5A: [683,0,725,37,767], // LATIN CAPITAL LETTER Z 0xA0: [0,0,250,0,0] // NO-BREAK SPACE @@ -647,7 +647,7 @@ directory: 'Main/Bold', family: 'MathJax_Main', weight: 'bold', - testString: "MathJax Main", + testString: "MathJax Main ^ \u210F \u2223", skew: { 0x131: 0.0319, 0x237: 0.0958, @@ -681,7 +681,7 @@ 0x25: [750,56,958,65,893], // PERCENT SIGN 0x26: [705,11,894,48,836], // AMPERSAND 0x27: [694,-329,319,74,261], // APOSTROPHE - 0x28: [751,250,447,103,382], // LEFT PARENTHESIS + 0x28: [750,249,447,103,382], // LEFT PARENTHESIS 0x29: [750,249,447,64,343], // RIGHT PARENTHESIS 0x2A: [750,-306,575,73,501], // ASTERISK 0x2B: [633,131,894,64,829], // PLUS SIGN @@ -689,28 +689,28 @@ 0x2D: [278,-166,383,13,318], // HYPHEN-MINUS 0x2E: [171,-1,319,74,245], // FULL STOP 0x2F: [750,250,575,63,511], // SOLIDUS - 0x30: [655,10,575,45,529], // DIGIT ZERO + 0x30: [654,10,575,45,529], // DIGIT ZERO 0x31: [655,0,575,80,494], // DIGIT ONE 0x32: [654,0,575,57,517], // DIGIT TWO - 0x33: [655,12,575,47,526], // DIGIT THREE - 0x34: [657,0,575,32,542], // DIGIT FOUR + 0x33: [655,11,575,47,526], // DIGIT THREE + 0x34: [656,0,575,32,542], // DIGIT FOUR 0x35: [655,11,575,57,517], // DIGIT FIVE - 0x36: [655,11,575,48,527], // DIGIT SIX - 0x37: [676,11,575,64,559], // DIGIT SEVEN + 0x36: [655,11,575,48,526], // DIGIT SIX + 0x37: [676,11,575,64,558], // DIGIT SEVEN 0x38: [654,11,575,48,526], // DIGIT EIGHT 0x39: [654,11,575,48,526], // DIGIT NINE 0x3A: [444,-1,319,74,245], // COLON 0x3B: [444,194,319,74,248], // SEMICOLON 0x3C: [587,85,894,96,797], // LESS-THAN SIGN 0x3D: [393,-109,894,64,829], // EQUALS SIGN - 0x3E: [587,85,894,95,797], // GREATER-THAN SIGN + 0x3E: [587,85,894,96,797], // GREATER-THAN SIGN 0x3F: [700,-1,543,65,478], // QUESTION MARK - 0x40: [700,6,894,64,829], // COMMERCIAL AT + 0x40: [699,6,894,64,829], // COMMERCIAL AT 0x41: [698,0,869,40,828], // LATIN CAPITAL LETTER A - 0x42: [687,0,818,39,753], // LATIN CAPITAL LETTER B - 0x43: [697,11,831,64,767], // LATIN CAPITAL LETTER C - 0x44: [687,0,882,39,817], // LATIN CAPITAL LETTER D - 0x45: [681,0,756,38,723], // LATIN CAPITAL LETTER E + 0x42: [686,0,818,39,752], // LATIN CAPITAL LETTER B + 0x43: [697,11,831,64,766], // LATIN CAPITAL LETTER C + 0x44: [686,0,882,39,817], // LATIN CAPITAL LETTER D + 0x45: [680,0,756,39,723], // LATIN CAPITAL LETTER E 0x46: [680,0,724,39,675], // LATIN CAPITAL LETTER F 0x47: [697,10,904,64,845], // LATIN CAPITAL LETTER G 0x48: [686,0,900,39,860], // LATIN CAPITAL LETTER H @@ -718,20 +718,20 @@ 0x4A: [686,11,594,8,527], // LATIN CAPITAL LETTER J 0x4B: [686,0,901,39,852], // LATIN CAPITAL LETTER K 0x4C: [686,0,692,39,643], // LATIN CAPITAL LETTER L - 0x4D: [687,0,1092,39,1052], // LATIN CAPITAL LETTER M - 0x4E: [687,1,900,39,861], // LATIN CAPITAL LETTER N + 0x4D: [686,0,1092,39,1052], // LATIN CAPITAL LETTER M + 0x4E: [686,0,900,39,860], // LATIN CAPITAL LETTER N 0x4F: [696,10,864,64,798], // LATIN CAPITAL LETTER O 0x50: [686,0,786,39,721], // LATIN CAPITAL LETTER P - 0x51: [697,193,864,64,806], // LATIN CAPITAL LETTER Q - 0x52: [687,11,862,39,858], // LATIN CAPITAL LETTER R - 0x53: [697,11,639,63,575], // LATIN CAPITAL LETTER S + 0x51: [696,193,864,64,805], // LATIN CAPITAL LETTER Q + 0x52: [686,11,862,39,858], // LATIN CAPITAL LETTER R + 0x53: [697,11,639,64,574], // LATIN CAPITAL LETTER S 0x54: [675,0,800,41,758], // LATIN CAPITAL LETTER T - 0x55: [686,12,885,39,845], // LATIN CAPITAL LETTER U + 0x55: [686,11,885,39,845], // LATIN CAPITAL LETTER U 0x56: [686,7,869,25,843], // LATIN CAPITAL LETTER V - 0x57: [686,8,1189,24,1164], // LATIN CAPITAL LETTER W + 0x57: [686,7,1189,24,1164], // LATIN CAPITAL LETTER W 0x58: [686,0,869,33,835], // LATIN CAPITAL LETTER X 0x59: [686,0,869,19,849], // LATIN CAPITAL LETTER Y - 0x5A: [687,0,703,64,645], // LATIN CAPITAL LETTER Z + 0x5A: [686,0,703,64,645], // LATIN CAPITAL LETTER Z 0x5B: [750,250,319,128,293], // LEFT SQUARE BRACKET 0x5C: [750,250,575,63,511], // REVERSE SOLIDUS 0x5D: [750,250,319,25,190], // RIGHT SQUARE BRACKET @@ -739,10 +739,10 @@ 0x5F: [-10,61,575,0,574], // LOW LINE 0x60: [706,-503,575,114,338], // GRAVE ACCENT 0x61: [453,6,559,32,558], // LATIN SMALL LETTER A - 0x62: [694,7,639,29,601], // LATIN SMALL LETTER B + 0x62: [694,6,639,29,600], // LATIN SMALL LETTER B 0x63: [453,6,511,39,478], // LATIN SMALL LETTER C - 0x64: [695,6,639,38,609], // LATIN SMALL LETTER D - 0x65: [453,6,527,32,494], // LATIN SMALL LETTER E + 0x64: [694,6,639,38,609], // LATIN SMALL LETTER D + 0x65: [452,6,527,32,494], // LATIN SMALL LETTER E 0x66: [700,0,351,40,452], // LATIN SMALL LETTER F 0x67: [455,201,575,30,558], // LATIN SMALL LETTER G 0x68: [694,0,639,37,623], // LATIN SMALL LETTER H @@ -750,42 +750,42 @@ 0x6A: [695,200,351,-71,274], // LATIN SMALL LETTER J 0x6B: [694,0,607,29,587], // LATIN SMALL LETTER K 0x6C: [694,0,319,40,301], // LATIN SMALL LETTER L - 0x6D: [451,0,958,37,942], // LATIN SMALL LETTER M + 0x6D: [450,0,958,37,942], // LATIN SMALL LETTER M 0x6E: [450,0,639,37,623], // LATIN SMALL LETTER N 0x6F: [452,5,575,32,542], // LATIN SMALL LETTER O - 0x70: [450,194,639,28,600], // LATIN SMALL LETTER P + 0x70: [450,194,639,29,600], // LATIN SMALL LETTER P 0x71: [450,194,607,38,609], // LATIN SMALL LETTER Q 0x72: [450,0,474,29,442], // LATIN SMALL LETTER R - 0x73: [453,7,454,37,415], // LATIN SMALL LETTER S - 0x74: [636,6,447,21,382], // LATIN SMALL LETTER T + 0x73: [453,6,454,38,414], // LATIN SMALL LETTER S + 0x74: [635,5,447,21,382], // LATIN SMALL LETTER T 0x75: [450,6,639,37,623], // LATIN SMALL LETTER U - 0x76: [444,4,607,26,580], // LATIN SMALL LETTER V - 0x77: [444,5,831,25,805], // LATIN SMALL LETTER W + 0x76: [444,3,607,26,580], // LATIN SMALL LETTER V + 0x77: [444,4,831,25,805], // LATIN SMALL LETTER W 0x78: [444,0,607,21,586], // LATIN SMALL LETTER X 0x79: [444,200,607,23,580], // LATIN SMALL LETTER Y - 0x7A: [445,0,511,31,462], // LATIN SMALL LETTER Z - 0x7B: [751,251,575,69,504], // LEFT CURLY BRACKET + 0x7A: [444,0,511,32,462], // LATIN SMALL LETTER Z + 0x7B: [750,250,575,70,504], // LEFT CURLY BRACKET 0x7C: [750,249,319,129,190], // VERTICAL LINE - 0x7D: [751,251,575,70,504], // RIGHT CURLY BRACKET - 0x7E: [344,-201,575,96,478], // TILDE + 0x7D: [750,250,575,70,504], // RIGHT CURLY BRACKET + 0x7E: [344,-202,575,96,478], // TILDE 0x393: [680,0,692,39,643], // GREEK CAPITAL LETTER GAMMA 0x394: [698,0,958,56,901], // GREEK CAPITAL LETTER DELTA 0x398: [696,10,894,64,829], // GREEK CAPITAL LETTER THETA - 0x39B: [699,0,806,40,765], // GREEK CAPITAL LETTER LAMDA + 0x39B: [698,0,806,40,765], // GREEK CAPITAL LETTER LAMDA 0x39E: [675,0,767,48,718], // GREEK CAPITAL LETTER XI 0x3A0: [680,0,900,39,860], // GREEK CAPITAL LETTER PI 0x3A3: [686,0,831,63,766], // GREEK CAPITAL LETTER SIGMA 0x3A5: [697,0,894,64,829], // GREEK CAPITAL LETTER UPSILON 0x3A6: [686,0,831,64,766], // GREEK CAPITAL LETTER PHI 0x3A8: [686,0,894,64,829], // GREEK CAPITAL LETTER PSI - 0x3A9: [696,1,831,51,780] // GREEK CAPITAL LETTER OMEGA + 0x3A9: [696,0,831,51,779] // GREEK CAPITAL LETTER OMEGA }; HTMLCSS.FONTDATA.FONTS['MathJax_Main-italic'] = { directory: 'Main/Italic', family: 'MathJax_Main', style: 'italic', - testString: "MathJax Main", + testString: "MathJax Main ^ \u210F \u2223", Ranges: [ [0xA0,0xFF,"Latin1Supplement"], [0x300,0x36F,"CombDiacritMarks"], @@ -796,101 +796,101 @@ 0x21: [716,0,307,107,380], // EXCLAMATION MARK 0x22: [694,-379,514,176,538], // QUOTATION MARK 0x23: [694,194,818,115,828], // NUMBER SIGN - 0x25: [751,56,818,144,848], // PERCENT SIGN + 0x25: [750,56,818,145,847], // PERCENT SIGN 0x26: [716,22,767,127,802], // AMPERSAND 0x27: [694,-379,307,213,377], // APOSTROPHE 0x28: [750,250,409,144,517], // LEFT PARENTHESIS 0x29: [750,250,409,17,390], // RIGHT PARENTHESIS - 0x2A: [751,-320,511,195,584], // ASTERISK - 0x2B: [558,57,767,139,753], // PLUS SIGN - 0x2C: [121,194,307,69,233], // COMMA - 0x2D: [251,-179,358,84,341], // HYPHEN-MINUS + 0x2A: [750,-320,511,195,584], // ASTERISK + 0x2B: [557,57,767,139,753], // PLUS SIGN + 0x2C: [121,194,307,69,232], // COMMA + 0x2D: [251,-180,358,84,341], // HYPHEN-MINUS 0x2E: [121,0,307,107,231], // FULL STOP 0x2F: [750,250,511,19,617], // SOLIDUS 0x30: [665,21,511,110,562], // DIGIT ZERO 0x31: [666,0,511,110,468], // DIGIT ONE 0x32: [666,22,511,76,551], // DIGIT TWO - 0x33: [667,22,511,96,563], // DIGIT THREE - 0x34: [666,194,511,46,479], // DIGIT FOUR + 0x33: [666,22,511,96,562], // DIGIT THREE + 0x34: [666,194,511,46,478], // DIGIT FOUR 0x35: [666,22,511,106,567], // DIGIT FIVE - 0x36: [665,22,511,120,566], // DIGIT SIX + 0x36: [665,22,511,120,565], // DIGIT SIX 0x37: [666,22,511,136,634], // DIGIT SEVEN 0x38: [666,21,511,99,553], // DIGIT EIGHT 0x39: [666,22,511,107,553], // DIGIT NINE 0x3A: [431,0,307,107,308], // COLON 0x3B: [431,194,307,70,308], // SEMICOLON 0x3D: [367,-133,767,116,776], // EQUALS SIGN - 0x3F: [717,0,511,195,551], // QUESTION MARK + 0x3F: [716,0,511,195,551], // QUESTION MARK 0x40: [705,11,767,152,789], // COMMERCIAL AT - 0x41: [716,1,743,58,696], // LATIN CAPITAL LETTER A - 0x42: [683,1,704,57,732], // LATIN CAPITAL LETTER B + 0x41: [716,0,743,58,696], // LATIN CAPITAL LETTER A + 0x42: [683,0,704,57,732], // LATIN CAPITAL LETTER B 0x43: [705,21,716,150,812], // LATIN CAPITAL LETTER C - 0x44: [683,1,755,56,775], // LATIN CAPITAL LETTER D - 0x45: [681,0,678,54,743], // LATIN CAPITAL LETTER E - 0x46: [681,0,653,54,731], // LATIN CAPITAL LETTER F - 0x47: [705,22,774,149,812], // LATIN CAPITAL LETTER G + 0x44: [683,0,755,56,775], // LATIN CAPITAL LETTER D + 0x45: [680,0,678,54,743], // LATIN CAPITAL LETTER E + 0x46: [680,-1,653,54,731], // LATIN CAPITAL LETTER F + 0x47: [705,22,774,150,812], // LATIN CAPITAL LETTER G 0x48: [683,0,743,54,860], // LATIN CAPITAL LETTER H 0x49: [683,0,386,49,508], // LATIN CAPITAL LETTER I 0x4A: [683,21,525,78,622], // LATIN CAPITAL LETTER J 0x4B: [683,0,769,54,859], // LATIN CAPITAL LETTER K 0x4C: [683,0,627,54,628], // LATIN CAPITAL LETTER L - 0x4D: [684,0,897,58,1010], // LATIN CAPITAL LETTER M - 0x4E: [684,0,743,54,860], // LATIN CAPITAL LETTER N + 0x4D: [683,0,897,58,1010], // LATIN CAPITAL LETTER M + 0x4E: [683,0,743,54,860], // LATIN CAPITAL LETTER N 0x4F: [704,22,767,149,788], // LATIN CAPITAL LETTER O - 0x50: [684,0,678,55,729], // LATIN CAPITAL LETTER P + 0x50: [683,0,678,55,729], // LATIN CAPITAL LETTER P 0x51: [704,194,767,149,788], // LATIN CAPITAL LETTER Q 0x52: [683,22,729,55,723], // LATIN CAPITAL LETTER R - 0x53: [706,22,562,74,634], // LATIN CAPITAL LETTER S - 0x54: [678,0,716,171,807], // LATIN CAPITAL LETTER T - 0x55: [684,22,743,194,860], // LATIN CAPITAL LETTER U + 0x53: [705,22,562,74,633], // LATIN CAPITAL LETTER S + 0x54: [677,0,716,171,806], // LATIN CAPITAL LETTER T + 0x55: [683,22,743,194,860], // LATIN CAPITAL LETTER U 0x56: [683,22,743,205,868], // LATIN CAPITAL LETTER V 0x57: [683,22,999,205,1124], // LATIN CAPITAL LETTER W - 0x58: [684,0,743,50,826], // LATIN CAPITAL LETTER X - 0x59: [684,0,743,198,875], // LATIN CAPITAL LETTER Y - 0x5A: [683,1,613,80,705], // LATIN CAPITAL LETTER Z - 0x5B: [751,251,307,73,446], // LEFT SQUARE BRACKET - 0x5D: [751,251,307,-14,359], // RIGHT SQUARE BRACKET + 0x58: [683,0,743,50,825], // LATIN CAPITAL LETTER X + 0x59: [683,0,743,198,875], // LATIN CAPITAL LETTER Y + 0x5A: [683,0,613,80,704], // LATIN CAPITAL LETTER Z + 0x5B: [750,250,307,73,446], // LEFT SQUARE BRACKET + 0x5D: [750,250,307,-14,359], // RIGHT SQUARE BRACKET 0x5E: [694,-527,511,260,528], // CIRCUMFLEX ACCENT - 0x5F: [-24,62,511,91,554], // LOW LINE + 0x5F: [-25,62,511,91,554], // LOW LINE 0x61: [442,11,511,101,543], // LATIN SMALL LETTER A 0x62: [694,11,460,108,467], // LATIN SMALL LETTER B - 0x63: [441,10,460,103,470], // LATIN SMALL LETTER C - 0x64: [694,11,511,100,567], // LATIN SMALL LETTER D + 0x63: [441,10,460,103,469], // LATIN SMALL LETTER C + 0x64: [694,11,511,101,567], // LATIN SMALL LETTER D 0x65: [442,10,460,107,470], // LATIN SMALL LETTER E 0x66: [705,204,307,-23,450], // LATIN SMALL LETTER F - 0x67: [442,205,460,46,495], // LATIN SMALL LETTER G - 0x68: [695,11,511,69,544], // LATIN SMALL LETTER H + 0x67: [442,205,460,46,494], // LATIN SMALL LETTER G + 0x68: [694,11,511,69,544], // LATIN SMALL LETTER H 0x69: [656,10,307,75,340], // LATIN SMALL LETTER I 0x6A: [656,204,307,-32,364], // LATIN SMALL LETTER J - 0x6B: [694,11,460,69,499], // LATIN SMALL LETTER K + 0x6B: [694,11,460,69,498], // LATIN SMALL LETTER K 0x6C: [694,11,256,87,312], // LATIN SMALL LETTER L - 0x6D: [443,11,818,75,851], // LATIN SMALL LETTER M - 0x6E: [443,11,562,75,595], // LATIN SMALL LETTER N + 0x6D: [442,11,818,75,851], // LATIN SMALL LETTER M + 0x6E: [442,11,562,75,595], // LATIN SMALL LETTER N 0x6F: [442,11,511,103,517], // LATIN SMALL LETTER O - 0x70: [442,194,511,5,518], // LATIN SMALL LETTER P - 0x71: [442,195,460,100,504], // LATIN SMALL LETTER Q + 0x70: [442,194,511,6,518], // LATIN SMALL LETTER P + 0x71: [442,194,460,101,504], // LATIN SMALL LETTER Q 0x72: [442,11,422,75,484], // LATIN SMALL LETTER R 0x73: [442,11,409,76,418], // LATIN SMALL LETTER S - 0x74: [627,11,332,87,373], // LATIN SMALL LETTER T + 0x74: [626,11,332,87,373], // LATIN SMALL LETTER T 0x75: [441,11,537,75,570], // LATIN SMALL LETTER U 0x76: [443,10,460,75,492], // LATIN SMALL LETTER V - 0x77: [443,12,664,74,696], // LATIN SMALL LETTER W + 0x77: [443,11,664,75,696], // LATIN SMALL LETTER W 0x78: [442,11,464,58,513], // LATIN SMALL LETTER X - 0x79: [441,206,486,75,522], // LATIN SMALL LETTER Y + 0x79: [441,205,486,75,522], // LATIN SMALL LETTER Y 0x7A: [442,11,409,54,466], // LATIN SMALL LETTER Z 0x7E: [318,-208,511,246,571], // TILDE - 0xA3: [714,11,769,87,699], // POUND SIGN + 0xA3: [714,11,769,88,699], // POUND SIGN 0x131: [441,10,307,75,340], // LATIN SMALL LETTER DOTLESS I - 0x237: [442,205,332,-32,327], // LATIN SMALL LETTER DOTLESS J - 0x393: [680,0,627,54,706], // GREEK CAPITAL LETTER GAMMA - 0x394: [717,1,818,70,751], // GREEK CAPITAL LETTER DELTA + 0x237: [442,204,332,-32,327], // LATIN SMALL LETTER DOTLESS J + 0x393: [680,0,627,54,705], // GREEK CAPITAL LETTER GAMMA + 0x394: [716,0,818,70,751], // GREEK CAPITAL LETTER DELTA 0x398: [704,22,767,149,788], // GREEK CAPITAL LETTER THETA - 0x39B: [717,0,692,58,646], // GREEK CAPITAL LETTER LAMDA - 0x39E: [678,1,664,74,754], // GREEK CAPITAL LETTER XI + 0x39B: [716,0,692,58,646], // GREEK CAPITAL LETTER LAMDA + 0x39E: [677,0,664,74,754], // GREEK CAPITAL LETTER XI 0x3A0: [680,0,743,54,859], // GREEK CAPITAL LETTER PI - 0x3A3: [683,1,716,80,782], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [706,0,767,213,833], // GREEK CAPITAL LETTER UPSILON - 0x3A6: [683,1,716,158,728], // GREEK CAPITAL LETTER PHI + 0x3A3: [683,0,716,80,782], // GREEK CAPITAL LETTER SIGMA + 0x3A5: [705,0,767,213,832], // GREEK CAPITAL LETTER UPSILON + 0x3A6: [683,0,716,159,728], // GREEK CAPITAL LETTER PHI 0x3A8: [683,0,767,207,824], // GREEK CAPITAL LETTER PSI 0x3A9: [705,0,716,100,759] // GREEK CAPITAL LETTER OMEGA }; @@ -898,7 +898,7 @@ HTMLCSS.FONTDATA.FONTS['MathJax_Main'] = { directory: 'Main/Regular', family: 'MathJax_Main', - testString: "MathJax Main", + testString: "MathJax Main ^ \u210F \u2223", skew: { 0x131: 0.0278, 0x237: 0.0833, @@ -915,62 +915,62 @@ 0x20: [0,0,250,0,0], // SPACE 0x21: [716,-1,278,78,199], // EXCLAMATION MARK 0x22: [694,-379,500,34,372], // QUOTATION MARK - 0x23: [694,194,833,55,778], // NUMBER SIGN - 0x24: [750,56,500,54,444], // DOLLAR SIGN + 0x23: [694,194,833,56,777], // NUMBER SIGN + 0x24: [750,56,500,55,444], // DOLLAR SIGN 0x25: [750,56,833,56,776], // PERCENT SIGN - 0x26: [717,22,778,42,727], // AMPERSAND + 0x26: [716,22,778,42,727], // AMPERSAND 0x27: [694,-379,278,78,212], // APOSTROPHE - 0x28: [751,251,389,94,333], // LEFT PARENTHESIS + 0x28: [750,250,389,94,333], // LEFT PARENTHESIS 0x29: [750,250,389,55,294], // RIGHT PARENTHESIS - 0x2A: [750,-319,500,64,435], // ASTERISK - 0x2B: [583,83,778,55,722], // PLUS SIGN + 0x2A: [750,-320,500,64,435], // ASTERISK + 0x2B: [583,82,778,56,722], // PLUS SIGN 0x2C: [121,194,278,78,210], // COMMA 0x2D: [252,-179,333,11,277], // HYPHEN-MINUS 0x2E: [120,0,278,78,199], // FULL STOP - 0x2F: [751,250,500,56,445], // SOLIDUS + 0x2F: [750,250,500,56,445], // SOLIDUS 0x30: [666,22,500,39,460], // DIGIT ZERO 0x31: [666,0,500,83,427], // DIGIT ONE - 0x32: [666,1,500,49,449], // DIGIT TWO - 0x33: [665,23,500,41,457], // DIGIT THREE + 0x32: [666,0,500,50,449], // DIGIT TWO + 0x33: [665,22,500,42,457], // DIGIT THREE 0x34: [677,0,500,28,471], // DIGIT FOUR - 0x35: [666,22,500,49,449], // DIGIT FIVE + 0x35: [666,22,500,50,449], // DIGIT FIVE 0x36: [666,22,500,42,456], // DIGIT SIX 0x37: [676,22,500,55,485], // DIGIT SEVEN 0x38: [666,22,500,43,457], // DIGIT EIGHT - 0x39: [666,22,500,41,456], // DIGIT NINE + 0x39: [666,22,500,42,456], // DIGIT NINE 0x3A: [430,0,278,78,199], // COLON 0x3B: [430,194,278,78,202], // SEMICOLON 0x3C: [540,40,778,83,694], // LESS-THAN SIGN - 0x3D: [367,-133,778,55,722], // EQUALS SIGN - 0x3E: [540,40,778,82,694], // GREATER-THAN SIGN - 0x3F: [706,-1,472,55,416], // QUESTION MARK + 0x3D: [367,-133,778,56,722], // EQUALS SIGN + 0x3E: [540,40,778,83,694], // GREATER-THAN SIGN + 0x3F: [705,-1,472,55,416], // QUESTION MARK 0x40: [705,11,778,56,722], // COMMERCIAL AT - 0x41: [717,0,750,32,717], // LATIN CAPITAL LETTER A - 0x42: [684,0,708,28,651], // LATIN CAPITAL LETTER B - 0x43: [706,21,722,56,666], // LATIN CAPITAL LETTER C + 0x41: [716,0,750,32,717], // LATIN CAPITAL LETTER A + 0x42: [683,0,708,28,651], // LATIN CAPITAL LETTER B + 0x43: [705,21,722,56,666], // LATIN CAPITAL LETTER C 0x44: [683,0,764,27,708], // LATIN CAPITAL LETTER D - 0x45: [680,0,681,24,652], // LATIN CAPITAL LETTER E - 0x46: [680,0,653,25,611], // LATIN CAPITAL LETTER F - 0x47: [706,22,785,56,735], // LATIN CAPITAL LETTER G + 0x45: [680,0,681,25,652], // LATIN CAPITAL LETTER E + 0x46: [680,0,653,25,610], // LATIN CAPITAL LETTER F + 0x47: [705,22,785,56,735], // LATIN CAPITAL LETTER G 0x48: [683,0,750,25,724], // LATIN CAPITAL LETTER H 0x49: [683,0,361,21,339], // LATIN CAPITAL LETTER I 0x4A: [683,22,514,25,465], // LATIN CAPITAL LETTER J - 0x4B: [683,0,778,24,736], // LATIN CAPITAL LETTER K + 0x4B: [683,0,778,25,736], // LATIN CAPITAL LETTER K 0x4C: [683,0,625,25,582], // LATIN CAPITAL LETTER L 0x4D: [683,0,917,29,887], // LATIN CAPITAL LETTER M 0x4E: [683,0,750,25,724], // LATIN CAPITAL LETTER N 0x4F: [705,22,778,56,722], // LATIN CAPITAL LETTER O - 0x50: [684,0,681,27,624], // LATIN CAPITAL LETTER P + 0x50: [683,0,681,27,624], // LATIN CAPITAL LETTER P 0x51: [705,193,778,56,728], // LATIN CAPITAL LETTER Q - 0x52: [684,22,736,27,732], // LATIN CAPITAL LETTER R - 0x53: [706,23,556,55,500], // LATIN CAPITAL LETTER S + 0x52: [683,22,736,27,732], // LATIN CAPITAL LETTER R + 0x53: [705,22,556,55,500], // LATIN CAPITAL LETTER S 0x54: [677,0,722,36,685], // LATIN CAPITAL LETTER T - 0x55: [684,22,750,25,724], // LATIN CAPITAL LETTER U - 0x56: [683,23,750,19,730], // LATIN CAPITAL LETTER V - 0x57: [683,23,1028,18,1009], // LATIN CAPITAL LETTER W - 0x58: [683,1,750,23,727], // LATIN CAPITAL LETTER X - 0x59: [684,0,750,11,738], // LATIN CAPITAL LETTER Y - 0x5A: [683,1,611,55,560], // LATIN CAPITAL LETTER Z + 0x55: [683,22,750,25,724], // LATIN CAPITAL LETTER U + 0x56: [683,22,750,19,730], // LATIN CAPITAL LETTER V + 0x57: [683,22,1028,18,1009], // LATIN CAPITAL LETTER W + 0x58: [683,0,750,23,726], // LATIN CAPITAL LETTER X + 0x59: [683,0,750,11,738], // LATIN CAPITAL LETTER Y + 0x5A: [683,0,611,55,560], // LATIN CAPITAL LETTER Z 0x5B: [750,250,278,118,255], // LEFT SQUARE BRACKET 0x5C: [750,250,500,56,444], // REVERSE SOLIDUS 0x5D: [750,250,278,22,159], // RIGHT SQUARE BRACKET @@ -982,40 +982,40 @@ 0x63: [448,11,444,34,415], // LATIN SMALL LETTER C 0x64: [694,11,556,34,535], // LATIN SMALL LETTER D 0x65: [448,11,444,28,415], // LATIN SMALL LETTER E - 0x66: [705,0,306,25,372], // LATIN SMALL LETTER F + 0x66: [705,0,306,26,372], // LATIN SMALL LETTER F 0x67: [453,206,500,29,485], // LATIN SMALL LETTER G - 0x68: [695,0,556,25,543], // LATIN SMALL LETTER H + 0x68: [694,0,556,25,542], // LATIN SMALL LETTER H 0x69: [669,0,278,26,255], // LATIN SMALL LETTER I 0x6A: [669,205,306,-55,218], // LATIN SMALL LETTER J - 0x6B: [695,0,528,20,512], // LATIN SMALL LETTER K + 0x6B: [694,0,528,20,511], // LATIN SMALL LETTER K 0x6C: [694,0,278,26,263], // LATIN SMALL LETTER L - 0x6D: [443,0,833,25,820], // LATIN SMALL LETTER M - 0x6E: [443,0,556,25,543], // LATIN SMALL LETTER N + 0x6D: [442,0,833,25,819], // LATIN SMALL LETTER M + 0x6E: [442,0,556,25,542], // LATIN SMALL LETTER N 0x6F: [448,10,500,28,471], // LATIN SMALL LETTER O - 0x70: [443,194,556,20,522], // LATIN SMALL LETTER P + 0x70: [442,194,556,20,522], // LATIN SMALL LETTER P 0x71: [442,194,528,33,535], // LATIN SMALL LETTER Q 0x72: [442,0,392,20,364], // LATIN SMALL LETTER R - 0x73: [449,12,394,32,359], // LATIN SMALL LETTER S - 0x74: [615,10,389,18,334], // LATIN SMALL LETTER T + 0x73: [448,11,394,33,359], // LATIN SMALL LETTER S + 0x74: [615,10,389,18,333], // LATIN SMALL LETTER T 0x75: [442,11,556,25,542], // LATIN SMALL LETTER U 0x76: [431,11,528,19,508], // LATIN SMALL LETTER V - 0x77: [432,12,722,18,704], // LATIN SMALL LETTER W - 0x78: [431,0,528,10,516], // LATIN SMALL LETTER X + 0x77: [431,11,722,18,703], // LATIN SMALL LETTER W + 0x78: [431,0,528,11,516], // LATIN SMALL LETTER X 0x79: [431,204,528,19,508], // LATIN SMALL LETTER Y 0x7A: [431,0,444,28,401], // LATIN SMALL LETTER Z - 0x7B: [750,250,500,64,434], // LEFT CURLY BRACKET - 0x7C: [750,250,278,119,159], // VERTICAL LINE - 0x7D: [750,250,500,64,435], // RIGHT CURLY BRACKET + 0x7B: [750,250,500,65,434], // LEFT CURLY BRACKET + 0x7C: [750,249,278,119,159], // VERTICAL LINE + 0x7D: [750,250,500,65,434], // RIGHT CURLY BRACKET 0x7E: [318,-215,500,83,416], // TILDE 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0xA8: [669,-554,500,95,404], // DIAERESIS - 0xAC: [356,-89,667,55,611], // NOT SIGN + 0xAC: [356,-89,667,56,611], // NOT SIGN 0xAF: [590,-544,500,69,430], // MACRON 0xB0: [715,-542,500,147,352], // DEGREE SIGN - 0xB1: [666,0,778,55,722], // PLUS-MINUS SIGN + 0xB1: [666,0,778,56,722], // PLUS-MINUS SIGN 0xB4: [699,-505,500,203,393], // ACUTE ACCENT - 0xD7: [491,-9,778,147,631], // MULTIPLICATION SIGN - 0xF7: [537,36,778,55,721], // DIVISION SIGN + 0xD7: [491,-9,778,147,630], // MULTIPLICATION SIGN + 0xF7: [537,36,778,56,721], // DIVISION SIGN 0x131: [442,0,278,26,255], // LATIN SMALL LETTER DOTLESS I 0x237: [442,205,306,-55,218], // LATIN SMALL LETTER DOTLESS J 0x2C6: [694,-531,500,112,387], // MODIFIER LETTER CIRCUMFLEX ACCENT @@ -1026,17 +1026,17 @@ 0x2D8: [694,-515,500,92,407], // BREVE 0x2D9: [669,-549,500,190,309], // DOT ABOVE 0x2DC: [668,-565,500,83,416], // SMALL TILDE - 0x393: [681,0,625,25,582], // GREEK CAPITAL LETTER GAMMA + 0x393: [680,0,625,25,582], // GREEK CAPITAL LETTER GAMMA 0x394: [716,0,833,46,786], // GREEK CAPITAL LETTER DELTA 0x398: [705,22,778,56,722], // GREEK CAPITAL LETTER THETA - 0x39B: [717,0,694,32,661], // GREEK CAPITAL LETTER LAMDA + 0x39B: [716,0,694,32,661], // GREEK CAPITAL LETTER LAMDA 0x39E: [677,0,667,42,624], // GREEK CAPITAL LETTER XI 0x3A0: [680,0,750,25,724], // GREEK CAPITAL LETTER PI - 0x3A3: [683,1,722,55,666], // GREEK CAPITAL LETTER SIGMA + 0x3A3: [683,0,722,55,666], // GREEK CAPITAL LETTER SIGMA 0x3A5: [705,0,778,55,722], // GREEK CAPITAL LETTER UPSILON 0x3A6: [683,0,722,56,665], // GREEK CAPITAL LETTER PHI - 0x3A8: [683,0,778,54,722], // GREEK CAPITAL LETTER PSI - 0x3A9: [704,1,722,44,677], // GREEK CAPITAL LETTER OMEGA + 0x3A8: [683,0,778,55,722], // GREEK CAPITAL LETTER PSI + 0x3A9: [704,0,722,44,677], // GREEK CAPITAL LETTER OMEGA 0x2002: [0,0,500,0,0], // ?? 0x2003: [0,0,999,0,0], // ?? 0x2004: [0,0,333,0,0], // ?? @@ -1050,66 +1050,66 @@ 0x2019: [694,-379,278,78,212], // RIGHT SINGLE QUOTATION MARK 0x201C: [694,-379,500,128,466], // LEFT DOUBLE QUOTATION MARK 0x201D: [694,-379,500,34,372], // RIGHT DOUBLE QUOTATION MARK - 0x2020: [705,217,444,55,390], // DAGGER - 0x2021: [705,206,444,55,389], // DOUBLE DAGGER + 0x2020: [705,216,444,55,389], // DAGGER + 0x2021: [705,205,444,55,389], // DOUBLE DAGGER 0x2026: [120,0,1172,78,1093], // HORIZONTAL ELLIPSIS 0x2032: [560,-43,275,30,262], // PRIME 0x20D7: [714,-516,0,-471,-29], // COMBINING RIGHT ARROW ABOVE 0x210F: [695,13,540,42,562], // stix-/hbar - Planck's over 2pi - 0x2111: [705,11,722,54,693], // BLACK-LETTER CAPITAL I - 0x2113: [706,20,417,6,398], // SCRIPT SMALL L + 0x2111: [705,10,722,55,693], // BLACK-LETTER CAPITAL I + 0x2113: [705,20,417,6,397], // SCRIPT SMALL L 0x2118: [453,216,636,67,625], // SCRIPT CAPITAL P - 0x211C: [717,22,722,40,716], // BLACK-LETTER CAPITAL R - 0x2135: [694,1,611,54,556], // ALEF SYMBOL - 0x2190: [511,12,1000,54,944], // LEFTWARDS ARROW - 0x2191: [694,194,500,17,483], // UPWARDS ARROW - 0x2192: [512,11,1000,55,945], // RIGHTWARDS ARROW + 0x211C: [716,22,722,40,715], // BLACK-LETTER CAPITAL R + 0x2135: [694,0,611,55,555], // ALEF SYMBOL + 0x2190: [511,11,1000,55,944], // LEFTWARDS ARROW + 0x2191: [694,193,500,17,483], // UPWARDS ARROW + 0x2192: [511,11,1000,56,944], // RIGHTWARDS ARROW 0x2193: [694,194,500,17,483], // DOWNWARDS ARROW - 0x2194: [511,11,1000,55,945], // LEFT RIGHT ARROW + 0x2194: [511,11,1000,55,944], // LEFT RIGHT ARROW 0x2195: [772,272,500,17,483], // UP DOWN ARROW - 0x2196: [720,196,1000,29,944], // NORTH WEST ARROW + 0x2196: [720,195,1000,29,944], // NORTH WEST ARROW 0x2197: [720,195,1000,55,970], // NORTH EAST ARROW 0x2198: [695,220,1000,55,970], // SOUTH EAST ARROW 0x2199: [695,220,1000,29,944], // SOUTH WEST ARROW - 0x21A6: [512,11,1000,54,945], // RIGHTWARDS ARROW FROM BAR - 0x21A9: [511,12,1126,54,1070], // LEFTWARDS ARROW WITH HOOK - 0x21AA: [512,11,1126,55,1071], // RIGHTWARDS ARROW WITH HOOK + 0x21A6: [511,11,1000,55,944], // RIGHTWARDS ARROW FROM BAR + 0x21A9: [511,11,1126,55,1070], // LEFTWARDS ARROW WITH HOOK + 0x21AA: [511,11,1126,55,1070], // RIGHTWARDS ARROW WITH HOOK 0x21BC: [511,-230,1000,55,944], // LEFTWARDS HARPOON WITH BARB UPWARDS 0x21BD: [270,11,1000,55,944], // LEFTWARDS HARPOON WITH BARB DOWNWARDS - 0x21C0: [511,-230,1000,55,944], // RIGHTWARDS HARPOON WITH BARB UPWARDS - 0x21C1: [270,11,1000,55,945], // RIGHTWARDS HARPOON WITH BARB DOWNWARDS + 0x21C0: [511,-230,1000,56,944], // RIGHTWARDS HARPOON WITH BARB UPWARDS + 0x21C1: [270,11,1000,56,944], // RIGHTWARDS HARPOON WITH BARB DOWNWARDS 0x21CC: [671,11,1000,55,944], // RIGHTWARDS HARPOON OVER LEFTWARDS HARPOON - 0x21D0: [525,24,1000,55,944], // LEFTWARDS DOUBLE ARROW + 0x21D0: [525,24,1000,56,944], // LEFTWARDS DOUBLE ARROW 0x21D1: [694,194,611,31,579], // UPWARDS DOUBLE ARROW - 0x21D2: [525,25,1000,55,944], // RIGHTWARDS DOUBLE ARROW + 0x21D2: [525,24,1000,56,944], // RIGHTWARDS DOUBLE ARROW 0x21D3: [694,194,611,31,579], // DOWNWARDS DOUBLE ARROW - 0x21D4: [525,25,1000,34,966], // LEFT RIGHT DOUBLE ARROW - 0x21D5: [772,272,611,31,580], // UP DOWN DOUBLE ARROW + 0x21D4: [526,25,1000,34,966], // LEFT RIGHT DOUBLE ARROW + 0x21D5: [772,272,611,31,579], // UP DOWN DOUBLE ARROW 0x2200: [694,22,556,0,556], // FOR ALL - 0x2202: [715,22,531,41,566], // PARTIAL DIFFERENTIAL - 0x2203: [694,0,556,55,500], // THERE EXISTS + 0x2202: [715,22,531,42,566], // PARTIAL DIFFERENTIAL + 0x2203: [694,0,556,56,500], // THERE EXISTS 0x2205: [772,78,500,39,460], // EMPTY SET 0x2207: [683,33,833,46,786], // NABLA - 0x2208: [541,41,667,84,584], // ELEMENT OF - 0x2209: [716,215,667,84,584], // stix-negated (vert) set membership, variant - 0x220B: [541,40,667,83,582], // CONTAINS AS MEMBER - 0x2212: [270,-230,778,83,694], // MINUS SIGN - 0x2213: [500,167,778,55,722], // MINUS-OR-PLUS SIGN - 0x2215: [751,250,500,56,445], // DIVISION SLASH + 0x2208: [540,40,667,84,583], // ELEMENT OF + 0x2209: [716,215,667,84,583], // stix-negated (vert) set membership, variant + 0x220B: [540,40,667,83,582], // CONTAINS AS MEMBER + 0x2212: [270,-230,778,84,694], // MINUS SIGN + 0x2213: [500,166,778,56,722], // MINUS-OR-PLUS SIGN + 0x2215: [750,250,500,56,445], // DIVISION SLASH 0x2216: [750,250,500,56,444], // SET MINUS - 0x2217: [465,-34,500,64,435], // ASTERISK OPERATOR + 0x2217: [465,-35,500,64,435], // ASTERISK OPERATOR 0x2218: [444,-55,500,55,444], // RING OPERATOR 0x2219: [444,-55,500,55,444], // BULLET OPERATOR 0x221A: [800,200,833,72,853], // SQUARE ROOT 0x221D: [442,11,778,56,722], // PROPORTIONAL TO 0x221E: [442,11,1000,55,944], // INFINITY 0x2220: [694,0,722,55,666], // ANGLE - 0x2223: [750,250,278,119,159], // DIVIDES + 0x2223: [750,249,278,119,159], // DIVIDES 0x2225: [750,250,500,132,367], // PARALLEL TO 0x2227: [598,22,667,55,611], // LOGICAL AND 0x2228: [598,22,667,55,611], // LOGICAL OR 0x2229: [598,22,667,55,611], // stix-intersection, serifs - 0x222A: [599,22,667,55,611], // stix-union, serifs + 0x222A: [598,22,667,55,611], // stix-union, serifs 0x222B: [716,216,417,55,472], // INTEGRAL 0x223C: [367,-133,778,55,722], // TILDE OPERATOR 0x2240: [583,83,278,55,222], // WREATH PRODUCT @@ -1117,22 +1117,22 @@ 0x2245: [589,-22,1000,55,722], // APPROXIMATELY EQUAL TO 0x2248: [483,-55,778,55,722], // ALMOST EQUAL TO 0x224D: [484,-16,778,55,722], // EQUIVALENT TO - 0x2250: [670,-133,778,55,722], // APPROACHES THE LIMIT - 0x2260: [716,215,778,55,722], // stix-not (vert) equals - 0x2261: [464,-36,778,55,722], // IDENTICAL TO + 0x2250: [670,-133,778,56,722], // APPROACHES THE LIMIT + 0x2260: [716,215,778,56,722], // stix-not (vert) equals + 0x2261: [464,-36,778,56,722], // IDENTICAL TO 0x2264: [636,138,778,83,694], // LESS-THAN OR EQUAL TO - 0x2265: [636,138,778,82,694], // GREATER-THAN OR EQUAL TO - 0x226A: [568,68,1000,56,944], // MUCH LESS-THAN - 0x226B: [567,67,1000,55,945], // MUCH GREATER-THAN - 0x227A: [539,41,778,84,695], // PRECEDES + 0x2265: [636,138,778,83,694], // GREATER-THAN OR EQUAL TO + 0x226A: [568,67,1000,56,944], // MUCH LESS-THAN + 0x226B: [567,67,1000,55,944], // MUCH GREATER-THAN + 0x227A: [539,41,778,84,694], // PRECEDES 0x227B: [539,41,778,83,694], // SUCCEEDS - 0x2282: [540,41,778,84,695], // SUBSET OF - 0x2283: [541,40,778,82,693], // SUPERSET OF - 0x2286: [636,139,778,84,695], // SUBSET OF OR EQUAL TO - 0x2287: [637,138,778,83,693], // SUPERSET OF OR EQUAL TO - 0x228E: [599,22,667,55,611], // MULTISET UNION - 0x2291: [636,138,778,83,714], // SQUARE IMAGE OF OR EQUAL TO - 0x2292: [636,138,778,63,694], // SQUARE ORIGINAL OF OR EQUAL TO + 0x2282: [540,40,778,84,694], // SUBSET OF + 0x2283: [540,40,778,83,693], // SUPERSET OF + 0x2286: [636,138,778,84,694], // SUBSET OF OR EQUAL TO + 0x2287: [636,138,778,83,693], // SUPERSET OF OR EQUAL TO + 0x228E: [598,22,667,55,611], // MULTISET UNION + 0x2291: [636,138,778,84,714], // SQUARE IMAGE OF OR EQUAL TO + 0x2292: [636,138,778,64,694], // SQUARE ORIGINAL OF OR EQUAL TO 0x2293: [598,0,667,61,605], // stix-square intersection, serifs 0x2294: [598,0,667,61,605], // stix-square union, serifs 0x2295: [583,83,778,56,722], // stix-circled plus (with rim) @@ -1144,35 +1144,35 @@ 0x22A3: [694,0,611,55,555], // LEFT TACK 0x22A4: [668,0,778,55,723], // DOWN TACK 0x22A5: [668,0,778,55,723], // UP TACK - 0x22A8: [750,250,867,119,811], // TRUE + 0x22A8: [750,249,867,119,811], // TRUE 0x22C4: [488,-12,500,12,488], // DIAMOND OPERATOR 0x22C5: [310,-190,278,78,199], // DOT OPERATOR 0x22C6: [486,-16,500,3,497], // STAR OPERATOR - 0x22C8: [505,6,900,25,873], // BOWTIE + 0x22C8: [505,5,900,26,873], // BOWTIE 0x22EE: [900,30,278,78,199], // VERTICAL ELLIPSIS 0x22EF: [310,-190,1172,78,1093], // MIDLINE HORIZONTAL ELLIPSIS 0x22F1: [820,-100,1282,133,1148], // DOWN RIGHT DIAGONAL ELLIPSIS - 0x2308: [751,250,444,174,422], // LEFT CEILING - 0x2309: [751,250,444,21,269], // RIGHT CEILING - 0x230A: [750,251,444,174,422], // LEFT FLOOR - 0x230B: [751,251,444,20,269], // RIGHT FLOOR + 0x2308: [750,250,444,174,422], // LEFT CEILING + 0x2309: [750,250,444,21,269], // RIGHT CEILING + 0x230A: [750,250,444,174,422], // LEFT FLOOR + 0x230B: [750,250,444,21,269], // RIGHT FLOOR 0x2322: [388,-122,1000,55,944], // stix-small down curve 0x2323: [378,-134,1000,55,944], // stix-small up curve - 0x23B0: [744,245,412,55,357], // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION - 0x23B1: [745,244,412,55,357], // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION + 0x23B0: [744,244,412,55,357], // UPPER LEFT OR LOWER RIGHT CURLY BRACKET SECTION + 0x23B1: [744,244,412,56,357], // UPPER RIGHT OR LOWER LEFT CURLY BRACKET SECTION 0x27E8: [750,250,389,110,333], // MATHEMATICAL LEFT ANGLE BRACKET 0x27E9: [750,250,389,55,278], // MATHEMATICAL RIGHT ANGLE BRACKET - 0x27EE: [744,245,412,173,357], // MATHEMATICAL LEFT FLATTENED PARENTHESIS - 0x27EF: [744,245,412,55,240], // MATHEMATICAL RIGHT FLATTENED PARENTHESIS - 0x27F5: [511,12,1609,54,1525], // LONG LEFTWARDS ARROW - 0x27F6: [512,11,1638,83,1554], // LONG RIGHTWARDS ARROW - 0x27F7: [512,12,1859,54,1804], // LONG LEFT RIGHT ARROW - 0x27F8: [525,24,1609,55,1553], // LONG LEFTWARDS DOUBLE ARROW - 0x27F9: [525,25,1638,55,1582], // LONG RIGHTWARDS DOUBLE ARROW - 0x27FA: [525,24,1858,55,1802], // LONG LEFT RIGHT DOUBLE ARROW - 0x27FC: [512,11,1638,54,1554], // LONG RIGHTWARDS ARROW FROM BAR - 0x2A3F: [684,0,750,28,721], // AMALGAMATION OR COPRODUCT - 0x2AAF: [636,138,778,83,695], // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN + 0x27EE: [744,244,412,173,357], // MATHEMATICAL LEFT FLATTENED PARENTHESIS + 0x27EF: [744,244,412,56,240], // MATHEMATICAL RIGHT FLATTENED PARENTHESIS + 0x27F5: [511,11,1609,55,1525], // LONG LEFTWARDS ARROW + 0x27F6: [511,11,1638,84,1553], // LONG RIGHTWARDS ARROW + 0x27F7: [511,11,1859,55,1803], // LONG LEFT RIGHT ARROW + 0x27F8: [525,24,1609,56,1553], // LONG LEFTWARDS DOUBLE ARROW + 0x27F9: [525,24,1638,56,1582], // LONG RIGHTWARDS DOUBLE ARROW + 0x27FA: [525,24,1858,56,1802], // LONG LEFT RIGHT DOUBLE ARROW + 0x27FC: [511,11,1638,55,1553], // LONG RIGHTWARDS ARROW FROM BAR + 0x2A3F: [683,0,750,28,721], // AMALGAMATION OR COPRODUCT + 0x2AAF: [636,138,778,84,694], // PRECEDES ABOVE SINGLE-LINE EQUALS SIGN 0x2AB0: [636,138,778,83,694] // SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN }; @@ -1180,7 +1180,7 @@ directory: 'Math/Italic', family: 'MathJax_Math', style: 'italic', - testString: "MathJax Math", + testString: "MathJax Math \u03A5", skew: { 0x41: 0.139, 0x42: 0.0833, @@ -1261,44 +1261,44 @@ }, 0x20: [0,0,250,0,0], // SPACE 0x2F: [716,215,778,139,638], // SOLIDUS - 0x41: [717,0,750,35,727], // LATIN CAPITAL LETTER A + 0x41: [716,0,750,35,726], // LATIN CAPITAL LETTER A 0x42: [683,0,759,35,756], // LATIN CAPITAL LETTER B 0x43: [705,22,715,50,760], // LATIN CAPITAL LETTER C - 0x44: [683,1,828,32,804], // LATIN CAPITAL LETTER D - 0x45: [680,1,738,30,764], // LATIN CAPITAL LETTER E - 0x46: [681,0,643,30,749], // LATIN CAPITAL LETTER F + 0x44: [683,0,828,33,803], // LATIN CAPITAL LETTER D + 0x45: [680,0,738,31,764], // LATIN CAPITAL LETTER E + 0x46: [680,0,643,31,749], // LATIN CAPITAL LETTER F 0x47: [705,22,786,50,760], // LATIN CAPITAL LETTER G - 0x48: [683,0,831,31,889], // LATIN CAPITAL LETTER H - 0x49: [684,0,440,26,504], // LATIN CAPITAL LETTER I + 0x48: [683,0,831,31,888], // LATIN CAPITAL LETTER H + 0x49: [683,0,440,26,504], // LATIN CAPITAL LETTER I 0x4A: [683,22,555,57,633], // LATIN CAPITAL LETTER J - 0x4B: [684,0,849,31,889], // LATIN CAPITAL LETTER K - 0x4C: [684,1,681,32,647], // LATIN CAPITAL LETTER L - 0x4D: [684,0,970,35,1051], // LATIN CAPITAL LETTER M - 0x4E: [684,0,803,31,888], // LATIN CAPITAL LETTER N + 0x4B: [683,0,849,31,889], // LATIN CAPITAL LETTER K + 0x4C: [683,0,681,32,647], // LATIN CAPITAL LETTER L + 0x4D: [683,0,970,35,1051], // LATIN CAPITAL LETTER M + 0x4E: [683,0,803,31,888], // LATIN CAPITAL LETTER N 0x4F: [704,22,763,50,740], // LATIN CAPITAL LETTER O 0x50: [683,0,642,33,751], // LATIN CAPITAL LETTER P - 0x51: [704,195,791,50,740], // LATIN CAPITAL LETTER Q - 0x52: [683,22,759,33,755], // LATIN CAPITAL LETTER R + 0x51: [704,194,791,50,740], // LATIN CAPITAL LETTER Q + 0x52: [683,21,759,33,755], // LATIN CAPITAL LETTER R 0x53: [705,22,613,52,645], // LATIN CAPITAL LETTER S - 0x54: [678,0,584,21,705], // LATIN CAPITAL LETTER T - 0x55: [684,22,683,59,767], // LATIN CAPITAL LETTER U - 0x56: [683,23,583,52,769], // LATIN CAPITAL LETTER V - 0x57: [684,22,944,51,1048], // LATIN CAPITAL LETTER W - 0x58: [684,1,828,25,852], // LATIN CAPITAL LETTER X - 0x59: [683,-1,581,29,763], // LATIN CAPITAL LETTER Y - 0x5A: [684,1,683,58,724], // LATIN CAPITAL LETTER Z + 0x54: [677,0,584,21,704], // LATIN CAPITAL LETTER T + 0x55: [683,22,683,60,767], // LATIN CAPITAL LETTER U + 0x56: [683,22,583,52,769], // LATIN CAPITAL LETTER V + 0x57: [683,22,944,51,1048], // LATIN CAPITAL LETTER W + 0x58: [683,0,828,26,852], // LATIN CAPITAL LETTER X + 0x59: [683,-1,581,30,763], // LATIN CAPITAL LETTER Y + 0x5A: [683,0,683,58,723], // LATIN CAPITAL LETTER Z 0x61: [441,10,529,33,506], // LATIN SMALL LETTER A - 0x62: [694,11,429,39,422], // LATIN SMALL LETTER B + 0x62: [694,11,429,40,422], // LATIN SMALL LETTER B 0x63: [442,11,433,34,429], // LATIN SMALL LETTER C - 0x64: [694,10,520,33,524], // LATIN SMALL LETTER D + 0x64: [694,10,520,33,523], // LATIN SMALL LETTER D 0x65: [442,11,466,39,429], // LATIN SMALL LETTER E 0x66: [705,205,490,55,550], // LATIN SMALL LETTER F - 0x67: [443,205,477,10,480], // LATIN SMALL LETTER G + 0x67: [442,205,477,10,480], // LATIN SMALL LETTER G 0x68: [694,11,576,48,555], // LATIN SMALL LETTER H - 0x69: [661,11,345,21,303], // LATIN SMALL LETTER I + 0x69: [661,11,345,21,302], // LATIN SMALL LETTER I 0x6A: [661,204,412,-12,403], // LATIN SMALL LETTER J 0x6B: [694,11,521,48,503], // LATIN SMALL LETTER K - 0x6C: [694,11,298,38,267], // LATIN SMALL LETTER L + 0x6C: [694,11,298,38,266], // LATIN SMALL LETTER L 0x6D: [442,11,878,21,857], // LATIN SMALL LETTER M 0x6E: [442,11,600,21,580], // LATIN SMALL LETTER N 0x6F: [441,11,485,34,476], // LATIN SMALL LETTER O @@ -1309,52 +1309,52 @@ 0x74: [626,11,361,19,330], // LATIN SMALL LETTER T 0x75: [442,11,572,21,551], // LATIN SMALL LETTER U 0x76: [443,11,485,21,467], // LATIN SMALL LETTER V - 0x77: [444,11,716,20,690], // LATIN SMALL LETTER W - 0x78: [443,11,572,35,523], // LATIN SMALL LETTER X + 0x77: [443,11,716,21,690], // LATIN SMALL LETTER W + 0x78: [442,11,572,35,522], // LATIN SMALL LETTER X 0x79: [442,205,490,21,496], // LATIN SMALL LETTER Y - 0x7A: [442,12,465,35,468], // LATIN SMALL LETTER Z + 0x7A: [442,11,465,35,468], // LATIN SMALL LETTER Z 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x393: [680,-1,615,31,721], // GREEK CAPITAL LETTER GAMMA - 0x394: [716,1,833,48,788], // GREEK CAPITAL LETTER DELTA + 0x394: [716,0,833,48,788], // GREEK CAPITAL LETTER DELTA 0x398: [704,22,763,50,740], // GREEK CAPITAL LETTER THETA - 0x39B: [717,0,694,35,671], // GREEK CAPITAL LETTER LAMDA - 0x39E: [678,1,742,53,777], // GREEK CAPITAL LETTER XI - 0x3A0: [681,0,831,31,888], // GREEK CAPITAL LETTER PI + 0x39B: [716,0,694,35,670], // GREEK CAPITAL LETTER LAMDA + 0x39E: [677,0,742,53,777], // GREEK CAPITAL LETTER XI + 0x3A0: [680,0,831,31,887], // GREEK CAPITAL LETTER PI 0x3A3: [683,0,780,58,806], // GREEK CAPITAL LETTER SIGMA - 0x3A5: [706,0,583,28,701], // GREEK CAPITAL LETTER UPSILON - 0x3A6: [683,0,667,24,643], // GREEK CAPITAL LETTER PHI - 0x3A8: [684,0,612,21,693], // GREEK CAPITAL LETTER PSI + 0x3A5: [705,0,583,28,700], // GREEK CAPITAL LETTER UPSILON + 0x3A6: [683,0,667,24,642], // GREEK CAPITAL LETTER PHI + 0x3A8: [683,0,612,21,692], // GREEK CAPITAL LETTER PSI 0x3A9: [704,0,772,80,786], // GREEK CAPITAL LETTER OMEGA 0x3B1: [442,11,640,34,603], // GREEK SMALL LETTER ALPHA - 0x3B2: [706,194,566,23,573], // GREEK SMALL LETTER BETA + 0x3B2: [705,194,566,23,573], // GREEK SMALL LETTER BETA 0x3B3: [441,216,518,11,543], // GREEK SMALL LETTER GAMMA 0x3B4: [717,10,444,36,451], // GREEK SMALL LETTER DELTA - 0x3B5: [453,22,466,27,428], // GREEK SMALL LETTER EPSILON - 0x3B6: [704,204,438,44,472], // GREEK SMALL LETTER ZETA - 0x3B7: [442,216,497,21,504], // GREEK SMALL LETTER ETA + 0x3B5: [452,22,466,27,428], // GREEK SMALL LETTER EPSILON + 0x3B6: [704,204,438,44,471], // GREEK SMALL LETTER ZETA + 0x3B7: [442,216,497,21,503], // GREEK SMALL LETTER ETA 0x3B8: [705,10,469,35,462], // GREEK SMALL LETTER THETA 0x3B9: [442,10,354,48,332], // GREEK SMALL LETTER IOTA 0x3BA: [442,11,576,49,554], // GREEK SMALL LETTER KAPPA - 0x3BB: [694,12,583,46,556], // GREEK SMALL LETTER LAMDA - 0x3BC: [443,216,603,22,580], // GREEK SMALL LETTER MU + 0x3BB: [694,12,583,47,556], // GREEK SMALL LETTER LAMDA + 0x3BC: [442,216,603,23,580], // GREEK SMALL LETTER MU 0x3BD: [442,2,494,45,530], // GREEK SMALL LETTER NU 0x3BE: [704,205,438,21,443], // GREEK SMALL LETTER XI 0x3BF: [441,11,485,34,476], // GREEK SMALL LETTER OMICRON 0x3C0: [431,11,570,19,573], // GREEK SMALL LETTER PI - 0x3C1: [442,216,517,22,510], // GREEK SMALL LETTER RHO - 0x3C2: [442,108,363,31,405], // GREEK SMALL LETTER FINAL SIGMA + 0x3C1: [442,216,517,23,510], // GREEK SMALL LETTER RHO + 0x3C2: [442,107,363,31,405], // GREEK SMALL LETTER FINAL SIGMA 0x3C3: [431,11,571,31,572], // GREEK SMALL LETTER SIGMA - 0x3C4: [431,13,437,17,517], // GREEK SMALL LETTER TAU + 0x3C4: [431,13,437,18,517], // GREEK SMALL LETTER TAU 0x3C5: [443,10,540,21,523], // GREEK SMALL LETTER UPSILON - 0x3C6: [442,219,654,50,618], // GREEK SMALL LETTER PHI - 0x3C7: [442,204,626,24,601], // GREEK SMALL LETTER CHI + 0x3C6: [442,218,654,50,618], // GREEK SMALL LETTER PHI + 0x3C7: [442,204,626,25,600], // GREEK SMALL LETTER CHI 0x3C8: [694,205,651,21,634], // GREEK SMALL LETTER PSI - 0x3C9: [444,11,622,15,604], // GREEK SMALL LETTER OMEGA + 0x3C9: [443,11,622,15,604], // GREEK SMALL LETTER OMEGA 0x3D1: [705,11,591,21,563], // GREEK THETA SYMBOL - 0x3D5: [695,206,596,43,579], // GREEK PHI SYMBOL + 0x3D5: [694,205,596,43,579], // GREEK PHI SYMBOL 0x3D6: [431,10,828,19,823], // GREEK PI SYMBOL 0x3F1: [442,194,517,67,510], // GREEK RHO SYMBOL - 0x3F5: [432,11,406,39,383] // GREEK LUNATE EPSILON SYMBOL + 0x3F5: [431,11,406,40,382] // GREEK LUNATE EPSILON SYMBOL }; HTMLCSS.FONTDATA.FONTS['MathJax_Size1'] = { @@ -1363,13 +1363,13 @@ testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [850,349,458,152,422], // LEFT PARENTHESIS - 0x29: [851,349,458,35,305], // RIGHT PARENTHESIS + 0x29: [850,349,458,35,305], // RIGHT PARENTHESIS 0x2F: [850,349,578,55,522], // SOLIDUS 0x5B: [850,349,417,202,394], // LEFT SQUARE BRACKET 0x5C: [850,349,578,54,522], // REVERSE SOLIDUS 0x5D: [850,349,417,22,214], // RIGHT SQUARE BRACKET - 0x7B: [850,349,583,104,477], // LEFT CURLY BRACKET - 0x7D: [851,349,583,104,477], // RIGHT CURLY BRACKET + 0x7B: [850,349,583,105,477], // LEFT CURLY BRACKET + 0x7D: [850,349,583,105,477], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [744,-551,556,-8,564], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [722,-597,556,1,554], // SMALL TILDE @@ -1382,7 +1382,7 @@ 0x21D3: [600,-1,778,57,721], // DOWNWARDS DOUBLE ARROW 0x220F: [750,250,944,55,888], // N-ARY PRODUCT 0x2210: [750,250,944,55,888], // N-ARY COPRODUCT - 0x2211: [751,250,1056,56,999], // N-ARY SUMMATION + 0x2211: [750,250,1056,56,999], // N-ARY SUMMATION 0x221A: [850,350,1000,111,1020], // SQUARE ROOT 0x2223: [627,15,333,145,188], // DIVIDES 0x2225: [627,15,556,145,410], // PARALLEL TO @@ -1392,8 +1392,8 @@ 0x222E: [805,306,472,55,610], // CONTOUR INTEGRAL 0x22C0: [750,249,833,55,777], // N-ARY LOGICAL AND 0x22C1: [750,249,833,55,777], // N-ARY LOGICAL OR - 0x22C2: [750,249,833,54,777], // N-ARY INTERSECTION - 0x22C3: [750,250,833,55,777], // N-ARY UNION + 0x22C2: [750,249,833,55,777], // N-ARY INTERSECTION + 0x22C3: [750,249,833,55,777], // N-ARY UNION 0x2308: [850,349,472,202,449], // LEFT CEILING 0x2309: [850,349,472,22,269], // RIGHT CEILING 0x230A: [850,349,472,202,449], // LEFT FLOOR @@ -1404,7 +1404,7 @@ 0x2A00: [750,250,1111,56,1054], // N-ARY CIRCLED DOT OPERATOR 0x2A01: [750,250,1111,56,1054], // N-ARY CIRCLED PLUS OPERATOR 0x2A02: [750,250,1111,56,1054], // N-ARY CIRCLED TIMES OPERATOR - 0x2A04: [750,250,833,55,777], // N-ARY UNION OPERATOR WITH PLUS + 0x2A04: [750,249,833,55,777], // N-ARY UNION OPERATOR WITH PLUS 0x2A06: [750,249,833,55,777] // N-ARY SQUARE UNION OPERATOR }; @@ -1414,13 +1414,13 @@ testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [1150,649,597,180,561], // LEFT PARENTHESIS - 0x29: [1151,649,597,35,416], // RIGHT PARENTHESIS - 0x2F: [1150,649,811,55,755], // SOLIDUS + 0x29: [1150,649,597,35,416], // RIGHT PARENTHESIS + 0x2F: [1150,649,811,56,754], // SOLIDUS 0x5B: [1150,649,472,224,455], // LEFT SQUARE BRACKET 0x5C: [1150,649,811,54,754], // REVERSE SOLIDUS 0x5D: [1150,649,472,16,247], // RIGHT SQUARE BRACKET 0x7B: [1150,649,667,119,547], // LEFT CURLY BRACKET - 0x7D: [1151,649,667,119,547], // RIGHT CURLY BRACKET + 0x7D: [1150,649,667,119,547], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [772,-565,1000,-5,1004], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [750,-611,1000,0,999], // SMALL TILDE @@ -1431,8 +1431,8 @@ 0x2211: [950,450,1444,55,1388], // N-ARY SUMMATION 0x221A: [1150,650,1000,111,1020], // SQUARE ROOT 0x222B: [1360,862,556,55,944], // INTEGRAL - 0x222C: [1361,862,1084,55,1473], // DOUBLE INTEGRAL - 0x222D: [1361,862,1592,55,1981], // TRIPLE INTEGRAL + 0x222C: [1360,862,1084,55,1472], // DOUBLE INTEGRAL + 0x222D: [1360,862,1592,55,1980], // TRIPLE INTEGRAL 0x222E: [1360,862,556,55,944], // CONTOUR INTEGRAL 0x22C0: [950,450,1111,55,1055], // N-ARY LOGICAL AND 0x22C1: [950,450,1111,55,1055], // N-ARY LOGICAL OR @@ -1457,25 +1457,25 @@ testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [1450,949,736,209,701], // LEFT PARENTHESIS - 0x29: [1451,949,736,34,526], // RIGHT PARENTHESIS + 0x29: [1450,949,736,34,526], // RIGHT PARENTHESIS 0x2F: [1450,949,1044,55,989], // SOLIDUS 0x5B: [1450,949,528,247,516], // LEFT SQUARE BRACKET 0x5C: [1450,949,1044,56,988], // REVERSE SOLIDUS 0x5D: [1450,949,528,11,280], // RIGHT SQUARE BRACKET 0x7B: [1450,949,750,130,618], // LEFT CURLY BRACKET - 0x7D: [1451,949,750,131,618], // RIGHT CURLY BRACKET + 0x7D: [1450,949,750,131,618], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [772,-564,1444,-4,1447], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [749,-610,1444,1,1442], // SMALL TILDE 0x302: [772,-564,0,-1448,3], // COMBINING CIRCUMFLEX ACCENT 0x303: [749,-610,0,-1443,-2], // COMBINING TILDE - 0x221A: [1450,951,1000,111,1020], // SQUARE ROOT + 0x221A: [1450,950,1000,111,1020], // SQUARE ROOT 0x2308: [1450,949,583,246,571], // LEFT CEILING 0x2309: [1450,949,583,11,336], // RIGHT CEILING 0x230A: [1450,949,583,246,571], // LEFT FLOOR 0x230B: [1450,949,583,11,336], // RIGHT FLOOR 0x27E8: [1450,950,750,126,654], // MATHEMATICAL LEFT ANGLE BRACKET - 0x27E9: [1450,950,750,94,623] // MATHEMATICAL RIGHT ANGLE BRACKET + 0x27E9: [1450,949,750,94,623] // MATHEMATICAL RIGHT ANGLE BRACKET }; HTMLCSS.FONTDATA.FONTS['MathJax_Size4'] = { @@ -1484,52 +1484,52 @@ testString: "() [] {}", 0x20: [0,0,250,0,0], // SPACE 0x28: [1750,1249,792,237,758], // LEFT PARENTHESIS - 0x29: [1751,1250,792,33,554], // RIGHT PARENTHESIS + 0x29: [1750,1249,792,33,554], // RIGHT PARENTHESIS 0x2F: [1750,1249,1278,56,1221], // SOLIDUS 0x5B: [1750,1249,583,269,577], // LEFT SQUARE BRACKET 0x5C: [1750,1249,1278,56,1221], // REVERSE SOLIDUS 0x5D: [1750,1249,583,5,313], // RIGHT SQUARE BRACKET - 0x7B: [1750,1249,806,144,662], // LEFT CURLY BRACKET - 0x7D: [1751,1249,806,144,662], // RIGHT CURLY BRACKET + 0x7B: [1750,1249,806,144,661], // LEFT CURLY BRACKET + 0x7D: [1750,1249,806,144,661], // RIGHT CURLY BRACKET 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x2C6: [845,-561,1889,-14,1902], // MODIFIER LETTER CIRCUMFLEX ACCENT 0x2DC: [823,-583,1889,1,1885], // SMALL TILDE 0x302: [845,-561,0,-1903,13], // COMBINING CIRCUMFLEX ACCENT 0x303: [823,-583,0,-1888,-4], // COMBINING TILDE - 0x221A: [1750,1251,1000,111,1020], // SQUARE ROOT + 0x221A: [1750,1250,1000,111,1020], // SQUARE ROOT 0x2308: [1750,1249,639,269,633], // LEFT CEILING 0x2309: [1750,1249,639,5,369], // RIGHT CEILING 0x230A: [1750,1249,639,269,633], // LEFT FLOOR 0x230B: [1750,1249,639,5,369], // RIGHT FLOOR - 0x239B: [1155,655,875,290,843], // LEFT PARENTHESIS UPPER HOOK + 0x239B: [1154,655,875,291,843], // LEFT PARENTHESIS UPPER HOOK 0x239C: [610,10,875,291,417], // LEFT PARENTHESIS EXTENSION 0x239D: [1165,644,875,291,843], // LEFT PARENTHESIS LOWER HOOK - 0x239E: [1155,655,875,31,583], // RIGHT PARENTHESIS UPPER HOOK + 0x239E: [1154,655,875,31,583], // RIGHT PARENTHESIS UPPER HOOK 0x239F: [610,10,875,457,583], // RIGHT PARENTHESIS EXTENSION - 0x23A0: [1165,645,875,31,583], // RIGHT PARENTHESIS LOWER HOOK + 0x23A0: [1165,644,875,31,583], // RIGHT PARENTHESIS LOWER HOOK 0x23A1: [1154,645,667,319,666], // LEFT SQUARE BRACKET UPPER CORNER 0x23A2: [602,0,667,319,403], // LEFT SQUARE BRACKET EXTENSION 0x23A3: [1155,644,667,319,666], // LEFT SQUARE BRACKET LOWER CORNER 0x23A4: [1154,645,667,0,347], // RIGHT SQUARE BRACKET UPPER CORNER 0x23A5: [602,0,667,263,347], // RIGHT SQUARE BRACKET EXTENSION 0x23A6: [1155,644,667,0,347], // RIGHT SQUARE BRACKET LOWER CORNER - 0x23A7: [899,10,889,383,719], // LEFT CURLY BRACKET UPPER HOOK - 0x23A8: [1160,660,889,170,505], // LEFT CURLY BRACKET MIDDLE PIECE + 0x23A7: [899,10,889,384,718], // LEFT CURLY BRACKET UPPER HOOK + 0x23A8: [1160,660,889,170,504], // LEFT CURLY BRACKET MIDDLE PIECE 0x23A9: [10,899,889,384,718], // LEFT CURLY BRACKET LOWER HOOK - 0x23AA: [310,10,889,383,504], // CURLY BRACKET EXTENSION - 0x23AB: [900,11,889,170,504], // RIGHT CURLY BRACKET UPPER HOOK + 0x23AA: [310,10,889,384,504], // CURLY BRACKET EXTENSION + 0x23AB: [899,10,889,170,504], // RIGHT CURLY BRACKET UPPER HOOK 0x23AC: [1160,660,889,384,718], // RIGHT CURLY BRACKET MIDDLE PIECE - 0x23AD: [10,899,889,170,505], // RIGHT CURLY BRACKET LOWER HOOK + 0x23AD: [10,899,889,170,504], // RIGHT CURLY BRACKET LOWER HOOK 0x23B7: [935,885,1056,111,742], // RADICAL SYMBOL BOTTOM - 0x27E8: [1750,1249,806,140,703], // MATHEMATICAL LEFT ANGLE BRACKET - 0x27E9: [1751,1249,806,103,665], // MATHEMATICAL RIGHT ANGLE BRACKET - 0xE000: [625,15,1056,702,742], // MJ-TeX: radical symbol vertical extender - 0xE001: [605,15,1056,702,1076], // MJ-TeX: radical symbol top corner piece - 0xE150: [120,213,450,-24,461], // MJ-TeX: horizontal brace, down left piece - 0xE151: [120,214,450,-11,475], // MJ-TeX: horizontal brace, down right piece - 0xE152: [333,0,450,-24,461], // MJ-TeX: horizontal brace, upper left piece - 0xE153: [333,0,450,-11,475], // MJ-TeX: horizontal brace, upper right piece - 0xE154: [120,0,400,-10,410] // MJ-TeX: horizontal brace, extender + 0x27E8: [1750,1248,806,140,703], // MATHEMATICAL LEFT ANGLE BRACKET + 0x27E9: [1750,1248,806,103,665], // MATHEMATICAL RIGHT ANGLE BRACKET + 0xE000: [625,14,1056,702,742], // stix-radical symbol vertical extender + 0xE001: [605,14,1056,702,1076], // stix-radical symbol top corner piece + 0xE150: [120,213,450,-24,460], // stix-horizontal brace, down left piece + 0xE151: [120,213,450,-10,474], // stix-horizontal brace, down right piece + 0xE152: [333,0,450,-24,460], // stix-horizontal brace, upper left piece + 0xE153: [333,0,450,-10,474], // stix-horizontal brace, upper right piece + 0xE154: [120,0,400,-10,410] // stix-oblique open face capital letter A }; HTMLCSS.FONTDATA.FONTS['MathJax_Main'][0x22EE][0] += 400; // adjust height for \vdots @@ -1579,7 +1579,7 @@ HTMLCSS.FONTDATA.FONTS['MathJax_Greek'] = { directory: 'Greek/Regular', family: 'MathJax_Greek', - testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B), + testString: "\u0393 \u03A5 \u039B", 0x20: [0,0,250,0,0], // SPACE 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x393: [680,0,625,25,582], // GREEK CAPITAL LETTER GAMMA @@ -1613,7 +1613,7 @@ directory: 'Greek/Bold', family: 'MathJax_Greek', weight: 'bold', - testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B), + testString: "\u0393 \u03A5 \u039B", 0x20: [0,0,250,0,0], // SPACE 0xA0: [0,0,250,0,0], // NO-BREAK SPACE 0x393: [680,0,692,39,643], // GREEK CAPITAL LETTER GAMMA @@ -1645,7 +1645,7 @@ directory: 'Greek/Italic', family: 'MathJax_Greek', style: 'italic', - testString: String.fromCharCode(0x393)+" "+String.fromCharCode(0x3A5)+" "+String.fromCharCode(0x39B), + testString: "\u0393 \u03A5 \u039B", skew: { 0x393: 0.0833, 0x394: 0.167, @@ -1846,21 +1846,21 @@ HTMLCSS.FONTDATA.FONTS['MathJax_WinChrome'] = { directory: 'WinChrome/Regular', family: 'MathJax_WinChrome', - testString: "> T d "+String.fromCharCode(0x23A6)+" "+String.fromCharCode(0x2A00), + testString: "> T d \u23A6 \u2A00", skew: { 0x54: 0.0278, 0xE2F0: 0.0319 }, 0x20: [0,0,250,0,0], // SPACE - 0x3E: [540,40,778,82,694], // GREATER-THAN SIGN - 0x54: [717,69,545,34,834], // LATIN CAPITAL LETTER T - 0x64: [694,11,511,100,567], // LATIN SMALL LETTER D + 0x3E: [540,40,778,83,694], // GREATER-THAN SIGN + 0x54: [717,68,545,34,833], // LATIN CAPITAL LETTER T + 0x64: [694,11,511,101,567], // LATIN SMALL LETTER D 0xA0: [0,0,250,0,0], // NO-BREAK SPACE - 0x22C3: [750,250,833,55,777], // N-ARY UNION + 0x22C3: [750,249,833,55,777], // N-ARY UNION 0x23A6: [1155,644,667,0,347], // RIGHT SQUARE BRACKET LOWER CORNER 0x2A00: [949,449,1511,56,1454], // N-ARY CIRCLED DOT OPERATOR - 0xE2F0: [720,69,644,38,947], // ?? - 0xE2F1: [587,85,894,95,797] // ?? + 0xE2F0: [720,69,644,38,947], // stix-lowercase u italic slashed + 0xE2F1: [587,85,894,96,797] // stix-lowercase u bold italic slashed }; } diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js @@ -44,7 +44,8 @@ padding:0, border:0, margin:0, whiteSpace:"nowrap", textAlign:"left", textIndent:0, textTransform:"none", lineHeight:"normal", letterSpacing:"normal", wordSpacing:"normal", - fontSize:this.testSize[0], fontWeight:"normal", fontStyle:"normal"} + fontSize:this.testSize[0], fontWeight:"normal", fontStyle:"normal", + fontSizeAdjust:"none"} },[""]); this.text = this.div.firstChild; }, @@ -74,7 +75,7 @@ this.div.style.fontFamily = "'"+font.family+"',"+this.comparisonFont[W[2]]; if (this.div.offsetWidth == W[1]) {return false} } - if (this.div.offsetWidth != W[3]) { + if (this.div.offsetWidth != W[3] || this.div.offsetHeight != W[4]) { if (font.noStyleChar || !HTMLCSS.FONTDATA || !HTMLCSS.FONTDATA.hasStyleChar) {return true} for (var i = 0, m = this.testSize.length; i < m; i++) {if (this.testStyleChar(font,this.testSize[i])) {return true}} @@ -116,12 +117,12 @@ if (HTMLCSS.safariTextNodeBug) {this.div.innerHTML = string} else {this.text.nodeValue = string} this.div.style.fontFamily = this.comparisonFont[0]; - var W = this.div.offsetWidth, sW = -1; - this.div.style.fontFamily = HTMLCSS.webFontDefault; - sW = this.div.offsetWidth; + var W = this.div.offsetWidth; + this.div.style.fontFamily = HTMLCSS.webFontDefault; + var sW = this.div.offsetWidth, sH = this.div.offsetHeight; for (var i = 1, m = this.comparisonFont.length; i < m; i++) { this.div.style.fontFamily = this.comparisonFont[i]; - if (this.div.offsetWidth != W) {return [W,this.div.offsetWidth,i,sW]} + if (this.div.offsetWidth != W) {return [W,this.div.offsetWidth,i,sW,sH]} } return null; }, @@ -609,8 +610,7 @@ // Remove the preview, if any // if (data.preview) { - data.preview.style.display = "none"; - data.preview.style.visibility = "hidden"; // hide from screen readers + data.preview.innerHTML = ""; script.MathJax.preview = data.preview; delete data.preview; } diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js @@ -59,6 +59,7 @@ "div.MathJax_MathContainer > span": {"text-align": align+"!important"} }); } + if (!this.require) {this.require = []} this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js"); }, Startup: function () { @@ -326,7 +327,7 @@ getHoverBBox: function (jax,span,math) {return EVENT.getBBox(span.parentNode)}, Zoom: function (jax,span,math,Mw,Mh) { - jax.root.toNativeMML(span,span); + jax.root.toNativeMML(span); if (this.msieIE8HeightBug) {span.style.position = "absolute"} var mW = math.offsetWidth || math.scrollWidth, mH = math.offsetHeight || math.scrollHeight; @@ -562,8 +563,22 @@ // Some browsers don't seem to add the xmlns attribute, so do it by hand. // toNativeMML: function (parent) { - this.SUPER(arguments).toNativeMML.call(this,parent); - parent.lastChild.setAttribute("xmlns",nMML.MMLnamespace); + var tag = this.NativeMMLelement(this.type), math = tag; + tag.setAttribute("xmlns",nMML.MMLnamespace); + this.NativeMMLattributes(tag); + if (nMML.widthBug) {tag = tag.appendChild(this.NativeMMLelement("mrow"))} + for (var i = 0, m = this.data.length; i < m; i++) { + if (this.data[i]) {this.data[i].toNativeMML(tag)} + else {tag.appendChild(this.NativeMMLelement("mrow"))} + } + parent.appendChild(math); + // + // Firefox can't seem to get the width of <math> elements right, so + // use an <mrow> to get the actual width and set the style on the + // parent element to match. Even if we set the <math> width properly, + // it doesn't seem to propagate up to the <span> correctly. + // + if (nMML.widthBug) {parent.style.width = math.firstChild.scrollWidth+"px"} } }); @@ -640,6 +655,7 @@ }, Firefox: function (browser) { nMML.forceReflow = true; + nMML.widthBug = true; } }); diff --git a/unpacked/jax/output/SVG/autoload/maction.js b/unpacked/jax/output/SVG/autoload/maction.js @@ -59,8 +59,8 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { var type = this.Get("actiontype"); if (this.SVGaction[type]) {this.SVGaction[type].call(this,svg,frame,this.Get("selection"))} }, - SVGstretchH: MML.mbase.SVGstretchH, - SVGstretchV: MML.mbase.SVGstretchV, + SVGstretchH: MML.mbase.prototype.SVGstretchH, + SVGstretchV: MML.mbase.prototype.SVGstretchV, // // Implementations for the various actions diff --git a/unpacked/jax/output/SVG/autoload/mtable.js b/unpacked/jax/output/SVG/autoload/mtable.js @@ -324,7 +324,7 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { svg.Add(this.SVGdataStretched(0,HW,D)); svg.Clean(); } - this.SVGhandleColor(); + this.SVGhandleColor(svg); this.SVGsaveData(svg); return svg; } diff --git a/unpacked/jax/output/SVG/jax.js b/unpacked/jax/output/SVG/jax.js @@ -329,8 +329,7 @@ // Remove the preview, if any // if (data.preview) { - data.preview.style.display = "none"; - data.preview.style.visibility = "hidden"; // hide from screen readers + data.preview.innerHTML = ""; script.MathJax.preview = data.preview; delete data.preview; }