diff --git a/config/Accessible-full.js b/config/Accessible-full.js index c44aa56dd..284211be1 100644 --- a/config/Accessible-full.js +++ b/config/Accessible-full.js @@ -89,7 +89,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"1.1.3"};MathJax.Hub.Register.Start (function(j,b,f,d){var e,h=b.Browser.isMSIE;var g,a,c,i;b.Register.StartupHook("MathZoom Ready",function(){i=MathJax.Extension.MathZoom});j.Augment({config:{styles:{".MathJax_mmlExBox":{display:"block",overflow:"hidden",height:"1px",width:"60ex",padding:0,border:0,margin:0}}},settings:b.config.menuSettings,Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(b.config.displayAlign!=="center"){var m=b.config.displayAlign,k=b.config.displayIndent;var l={"text-align":m+"!important"};l["margin-"+m]=k+"!important";MathJax.Hub.Insert(this.config.styles,{"div.MathJax_MathML":l,"div.MathJax_MathML math":{"text-align":m},"div.MathJax_MathContainer > span":{"text-align":m+"!important"}})}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){g=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=g.ContextMenu;this.Mousedown=g.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;if(!h){this.EmExSpan=d.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);e.math(e.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return f.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(h){try{var k=document.createElement("object");k.id="mathplayer";k.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(k);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(l){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(l){var r=l.jax[this.id],s,n=r.length,w,p,y,u,x,k,t,q,o;for(s=0;s1?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.HTMLCSSlast+n.HTMLCSSchunk){this.postTranslate(n);n.HTMLCSSchunk=Math.floor(n.HTMLCSSchunk*this.config.EqnChunkFactor)}}},postTranslate:function(q){var k=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o=0&&!this.initialSkipBug)||this.negativeBBoxes||!m.firstChild){j=m.offsetWidth;l=m.parentNode.offsetHeight}else{if(m.bbox&&k<0&&this.msieNegativeBBoxBug){j=-m.offsetWidth,l=m.parentNode.offsetHeight}else{if(this.initialSkipBug){var i=m.style.position;m.style.position="absolute";n=this.startMarker;m.insertBefore(n,m.firstChild)}m.appendChild(this.endMarker);j=this.endMarker.offsetLeft-n.offsetLeft;m.removeChild(this.endMarker);if(this.initialSkipBug){m.removeChild(n);m.style.position=i}}}if(l!=null){m.parentNode.HH=l/this.em}return j/this.em},Measured:function(k,j){var l=k.bbox;if(l.width==null&&l.w&&!l.isMultiline){var i=this.getW(k);l.rw+=i-l.w;l.w=i;l.exactW=true}if(!j){j=k.parentNode}if(!j.bbox){j.bbox=l}return k},Remeasured:function(j,i){i.bbox=this.Measured(j,i).bbox},MeasureSpans:function(n){var q=[],s,p,l,t,j,o,k;for(p=0,l=n.length;p=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=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p=0){m.style.width=this.Em(i);m.style.display="inline-block";m.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){m.style.height=""}m.style.marginLeft=this.Em(i);if(e.safariNegativeSpaceBug&&m.parentNode.firstChild==m){this.createBlank(m,0,true)}}if(j&&j!==a.COLOR.TRANSPARENT){m.style.backgroundColor=j;m.style.position="relative"}return m},createRule:function(p,l,n,q,j){var k=e.TeX.min_rule_thickness,m=1;if(q>0&&q*this.em0&&(l+n)*this.em0&&o.offsetWidth==0){o.style.width=this.Em(q)}if(p.isBox||p.className=="mspace"){p.bbox=o.bbox,p.HH=l+n}return o},createFrame:function(q,o,p,r,u,j){var n=(this.msieBorderWidthBug?0:2*u);var s=this.Em(o+p-n),i=this.Em(-p-u),m=this.Em(r-n);var k=this.Em(u)+" "+j;var l=this.addElement(q,"span",{style:{border:k,display:"inline-block",overflow:"hidden",width:m,height:s},bbox:{h:o,d:p,w:r,rw:r,lw:0,exactW:true},noAdjust:true,HH:o+p,isMathJax:true});if(i){l.style.verticalAlign=i}return l},createStack:function(k,m,j){if(this.msiePaddingWidthBug){this.createStrut(k,0)}var l=String(j).match(/%$/);var i=(!l&&j!=null?j:0);k=this.addElement(k,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(l?"100%":this.Em(i)),height:0}});if(!m){k.parentNode.bbox=k.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:i,lw:this.BIGDIMEN,rw:(!l&&j!=null?j:-this.BIGDIMEN)};if(l){k.bbox.width=j}}return k},createBox:function(j,i){var k=this.addElement(j,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(i!=null){k.style.width=i}return k},addBox:function(i,j){j.style.position="absolute";j.isBox=true;return i.appendChild(j)},placeBox:function(q,p,o,m){q.isMathJax=true;var s=q.parentNode,A=q.bbox,v=s.bbox;if(this.msiePlaceBoxBug){this.addText(q,this.NBSP)}if(this.imgSpaceBug){this.addText(q,this.imgSpace)}var u,C=0;if(q.HH!=null){u=q.HH}else{if(A){u=Math.max(3,A.h+A.d)}else{u=q.offsetHeight/this.em}}if(!q.noAdjust){u+=1;if(this.msieInlineBlockAlignBug){this.addElement(q,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(u)}})}else{this.addElement(q,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(u)}})}}q.style.top=this.Em(-o-u);q.style.left=this.Em(p+C);if(A){if(this.initialSkipBug){if(A.lw<0){C=A.lw;e.createBlank(q,-C,true);k=0}if(A.rw>A.w){e.createBlank(q,A.rw-A.w+0.1)}}if(!this.msieClipRectBug&&!A.noclip&&!m){var z=3/this.em;var w=(A.H==null?A.h:A.H),j=(A.D==null?A.d:A.D);var B=u-w-z,n=u+j+z,k=A.lw-3*z,i=1000;if(A.isFixed){i=A.width-k}q.style.clip="rect("+this.Em(B)+" "+this.Em(i)+" "+this.Em(n)+" "+this.Em(k)+")"}}if(A&&v){if(A.H!=null&&(v.H==null||A.H+o>v.H)){v.H=A.H+o}if(A.D!=null&&(v.D==null||A.D-o>v.D)){v.D=A.D-o}if(A.h+o>v.h){v.h=A.h+o}if(A.d-o>v.d){v.d=A.d-o}if(v.H!=null&&v.H<=v.h){delete v.H}if(v.D!=null&&v.D<=v.d){delete v.D}if(A.w+p>v.w){v.w=A.w+p;if(v.width==null){s.style.width=this.Em(v.w)}}if(A.rw+p>v.rw){v.rw=A.rw+p}if(A.lw+p=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(x,r,C,D,u){var l=this.createStack(x,true);var t=this.createBox(l),s=this.createBox(l);this.createChar(t,(C.top||C.ext),D,u);this.createChar(s,(C.bot||C.ext),D,u);var j={bbox:{w:0,lw:0,rw:0}},B=j,m;var z=t.bbox.h+t.bbox.d+s.bbox.h+s.bbox.d;var p=-t.bbox.h;this.placeBox(t,0,p,true);p-=t.bbox.d;if(C.mid){B=this.createBox(l);this.createChar(B,C.mid,D,u);z+=B.bbox.h+B.bbox.d}if(r>z){j=this.Element("span");this.createChar(j,C.ext,D,u);var A=j.bbox.h+j.bbox.d,i=A-0.05,v,o,w=(C.mid?2:1);o=v=Math.ceil((r-z)/(w*i));if(!C.fullExtenders){i=(r-z)/(w*v)}var q=(v/(v+1))*(A-i);i=A-q;p+=q+i-j.bbox.h;while(w-->0){while(v-->0){if(!this.msieCloneNodeBug){m=j.cloneNode(true)}else{m=this.Element("span");this.createChar(m,C.ext,D,u)}p-=i;this.placeBox(this.addBox(l,m),0,p,true)}p+=q-j.bbox.d;if(C.mid&&w){this.placeBox(B,0,p-B.bbox.h,true);v=o;p+=-(B.bbox.h+B.bbox.d)+q+i-j.bbox.h}}}else{p+=(z-r)/2;if(C.mid){this.placeBox(B,0,p-B.bbox.h,true);p+=-(B.bbox.h+B.bbox.d)}p+=(z-r)/2}this.placeBox(s,0,p-s.bbox.h,true);p-=s.bbox.h+s.bbox.d;x.bbox={w:Math.max(t.bbox.w,j.bbox.w,s.bbox.w,B.bbox.w),lw:Math.min(t.bbox.lw,j.bbox.lw,s.bbox.lw,B.bbox.lw),rw:Math.max(t.bbox.rw,j.bbox.rw,s.bbox.rw,B.bbox.rw),h:0,d:-p,exactW:true};x.scale=D;x.offset=0.55*x.bbox.w;x.isMultiChar=true;this.setStackWidth(l,x.bbox.w)},extendDelimiterH:function(z,l,C,E,u){var p=this.createStack(z,true);var m=this.createBox(p),A=this.createBox(p);this.createChar(m,(C.left||C.rep),E,u);this.createChar(A,(C.right||C.rep),E,u);var i=this.Element("span");this.createChar(i,C.rep,E,u);var B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var D=i.bbox.rw-i.bbox.lw,o=D-0.05,v,q,y=(C.mid?2:1);q=v=Math.ceil((l-s)/(y*o));if(!C.fillExtenders){o=(l-s)/(y*v)}t=(v/(v+1))*(D-o);o=D-t;r-=i.bbox.lw+t;while(y-->0){while(v-->0){if(!this.msieCloneNodeBug){j=i.cloneNode(true)}else{j=this.Element("span");this.createChar(j,C.rep,E,u)}this.placeBox(this.addBox(p,j),r,0,true);r+=o}if(C.mid&&y){this.placeBox(B,r,0,true);r+=B.bbox.w-t;v=q}}}else{t=Math.min(s-l,m.bbox.w/2);r-=t/2;if(C.mid){this.placeBox(B,r,0,true);r+=B.bbox.w}r-=t/2}this.placeBox(A,r,0,true);z.bbox={w:r+A.bbox.rw,lw:0,rw:r+A.bbox.rw,H:Math.max(m.bbox.h,i.bbox.h,A.bbox.h,B.bbox.h),D:Math.max(m.bbox.d,i.bbox.d,A.bbox.d,B.bbox.d),h:i.bbox.h,d:i.bbox.d,exactW:true};z.scale=E;z.isMultiChar=true;this.setStackWidth(p,z.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===a.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var p=0,k=o[0].length;p=u[t].low&&v<=u[t].high){if(u[t].remap&&u[t].remap[v]){v=p+u[t].remap[v]}else{v=v-u[t].low+p;if(u[t].add){v+=u[t].add}}if(o["variant"+u[t].offset]){o=this.FONTDATA.VARIANT[o["variant"+u[t].offset]]}break}}}if(o.remap&&o.remap[v]){if(o.remap[v] instanceof Array){var l=o.remap[v];v=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{v=o.remap[v];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}if(this.FONTDATA.REMAP[v]&&!o.noRemap){v=this.FONTDATA.REMAP[v]}s=this.lookupChar(o,v);B=s[v];if(o!==A&&!B[5].img){if(x.length){this.addText(j,x);x=""}j=y;A=k;if(o!==A){if(A){j=this.addElement(y,"span",{isMathJax:true})}else{k=o}}this.handleFont(j,s,j!==y);A=o}x=this.handleChar(j,s,B,v,x);if(B[0]/1000>y.bbox.h){y.bbox.h=B[0]/1000}if(B[1]/1000>y.bbox.d){y.bbox.d=B[1]/1000}if(y.bbox.w+B[3]/1000y.bbox.rw){y.bbox.rw=y.bbox.w+B[4]/1000}y.bbox.w+=B[2]/1000}if(x.length){this.addText(j,x)}if(y.scale&&y.scale!==1){y.bbox.h*=y.scale;y.bbox.d*=y.scale;y.bbox.w*=y.scale;y.bbox.lw*=y.scale;y.bbox.rw*=y.scale}if(r.length==1&&s.skew&&s.skew[v]){y.bbox.skew=s.skew[v]}},handleFont:function(k,i,m){k.style.fontFamily=i.family;if(!(e.FontFaceBug&&i.isWebFont)){var j=i.style||"normal",l=i.weight||"normal";if(j!=="normal"||m){k.style.fontStyle=j}if(l!=="normal"||m){k.style.fontWeight=l}}},handleChar:function(j,i,p,o,m){var l=p[5];if(l.img){return this.handleImg(j,i,p,o,m)}if(l.isUnknown&&this.FONTDATA.DELIMITERS[o]){if(m.length){this.addText(j,m)}var k=j.scale;e.createDelimiter(j,o,0,1,i);j.scale=k;p[0]=j.bbox.h*1000;p[1]=j.bbox.d*1000;p[2]=j.bbox.w*1000;p[3]=j.bbox.lw*1000;p[4]=j.bbox.rw*1000;return""}if(l.c==null){if(o<=65535){l.c=String.fromCharCode(o)}else{l.c=this.PLANE1+String.fromCharCode(o-119808+56320)}}if(l.rfix){this.addText(j,l.c);e.createShift(j,l.rfix/1000);return""}if(p[2]||!this.msieAccentBug||m.length){return m+l.c}e.createShift(j,p[3]/1000);e.createShift(j,(p[4]-p[3])/1000);this.addText(j,l.c);e.createShift(j,-p[4]/1000);return""},handleImg:function(j,i,m,l,k){return k},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(j){var i=MathJax.Callback.Queue();i.Push(["Require",c,this.fontDir+"/"+j]);if(this.imgFonts){if(!MathJax.isPacked){j=j.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}i.Push(["Require",c,this.webfontDir+"/png/"+j])}d.RestartAfter(i.Push({}))},loadWebFont:function(i){i.available=i.isWebFont=true;if(e.FontFaceBug){i.family=i.name;if(e.msieFontCSSBug){i.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(i))},loadWebFontError:function(j,i){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");j.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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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},PLANE1:"\uD835",NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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l=o.remap[v];v=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{v=o.remap[v];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}if(this.FONTDATA.REMAP[v]&&!o.noRemap){v=this.FONTDATA.REMAP[v]}s=this.lookupChar(o,v);B=s[v];if(o!==A&&!B[5].img){if(x.length){this.addText(j,x);x=""}j=y;A=k;if(o!==A){if(A){j=this.addElement(y,"span",{isMathJax:true})}else{k=o}}this.handleFont(j,s,j!==y);A=o}x=this.handleChar(j,s,B,v,x);if(B[0]/1000>y.bbox.h){y.bbox.h=B[0]/1000}if(B[1]/1000>y.bbox.d){y.bbox.d=B[1]/1000}if(y.bbox.w+B[3]/1000y.bbox.rw){y.bbox.rw=y.bbox.w+B[4]/1000}y.bbox.w+=B[2]/1000}if(x.length){this.addText(j,x)}if(y.scale&&y.scale!==1){y.bbox.h*=y.scale;y.bbox.d*=y.scale;y.bbox.w*=y.scale;y.bbox.lw*=y.scale;y.bbox.rw*=y.scale}if(r.length==1&&s.skew&&s.skew[v]){y.bbox.skew=s.skew[v]}},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!(d.FontFaceBug&&j.isWebFont)){var 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Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o=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 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j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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v=u.bbox.h+u.bbox.d,j=-u.bbox.d,p=0,n=0;if(m>0){m+=2*x;s-=x}if(v>0){v+=2*x;j-=x}q=-m-s;if(r){q-=r.right;j-=r.bottom;p+=r.left;n+=r.right;u.bbox.h+=r.top;u.bbox.d+=r.bottom;u.bbox.w+=r.left+r.right;u.bbox.lw-=r.left;u.bbox.rw+=r.right}if(t){v+=t.top+t.bottom;m+=t.left+t.right;q-=t.right;j-=t.bottom;p+=t.left;n+=t.right;u.bbox.h+=t.top;u.bbox.d+=t.bottom;u.bbox.w+=t.left+t.right;u.bbox.lw-=t.left;u.bbox.rw+=t.right}if(n){u.style.paddingRight=d.Em(n)}var l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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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(l2){k.scriptlevel=2}j=Math.sqrt(Math.pow(k.scriptsizemultiplier,k.scriptlevel))}return j},HTMLgetVariant:function(){var j=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var l=this.HTMLspanElement();if(l.style.fontFamily){j.fontfamily=l.style.fontFamily}if(l.style.fontWeight){j.fontweight=l.style.fontWeight}if(l.style.fontStyle){j.fontStyle=l.style.fontStyle}}var k=j.mathvariant;if(this.variantForm){k="-"+d.fontInUse+"-variant"}if(j.fontfamily&&!this.mathvariant){if(!j.fontweight&&j.mathvariant.match(/bold/)){j.fontweight="bold"}if(!j.fontstyle&&j.mathvariant.match(/italic/)){j.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:j.fontfamily,style:j.fontstyle,weight:j.fontweight}}}if(j.fontweight==="bold"){k={normal:f.VARIANT.BOLD,italic:f.VARIANT.BOLDITALIC,fraktur:f.VARIANT.BOLDFRAKTUR,script:f.VARIANT.BOLDSCRIPT,"sans-serif":f.VARIANT.BOLDSANSSERIF,"sans-serif-italic":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.fontweight==="normal"){k={bold:f.VARIANT.normal,"bold-italic":f.VARIANT.ITALIC,"bold-fraktur":f.VARIANT.FRAKTUR,"bold-script":f.VARIANT.SCRIPT,"bold-sans-serif":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.SANSSERIFITALIC}[k]||k}}if(j.fontstyle==="italic"){k={normal:f.VARIANT.ITALIC,bold:f.VARIANT.BOLDITALIC,"sans-serif":f.VARIANT.SANSSERIFITALIC,"bold-sans-serif":f.VARIANT.SANSSERIFBOLDITALIC}[k]||k}else{if(j.fontstyle==="normal"){k={italic:f.VARIANT.NORMAL,"bold-italic":f.VARIANT.BOLD,"sans-serif-italic":f.VARIANT.SANSSERIF,"sans-serif-bold-italic":f.VARIANT.BOLDSANSSERIF}[k]||k}}return 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B={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},j;this.placeBox(m,-m.bbox.lw,0,true);var s=(m.bbox.rw-m.bbox.lw)+(A.bbox.rw-A.bbox.lw)-0.05,r=m.bbox.rw-m.bbox.lw-0.025,t;if(C.mid){B=this.createBox(p);this.createChar(B,C.mid,E,u);s+=B.bbox.w}if(l>s){var 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v=this.getValues("mathcolor","color");if(this.mathbackground){v.mathbackground=this.mathbackground}if(this.background){v.background=this.background}if(this.style&&t.style.backgroundColor){v.mathbackground=t.style.backgroundColor;t.style.backgroundColor="transparent"}var q=(this.styles||{}).border,s=(this.styles||{}).padding;if(v.color&&!this.mathcolor){v.mathcolor=v.color}if(v.background&&!this.mathbackground){v.mathbackground=v.background}if(v.mathcolor){t.style.color=v.mathcolor}if((v.mathbackground&&v.mathbackground!==a.COLOR.TRANSPARENT)||q||s){var w=(t.bbox.exact?0:1/e.em),r=0,p=0,j=t.style.paddingLeft,n=t.style.paddingRight;if(this.isToken){r=t.bbox.lw;p=t.bbox.rw-t.bbox.w}if(j!==""){r+=parseFloat(j)*(t.scale||1)}if(n!==""){p-=parseFloat(n)*(t.scale||1)}var l=Math.max(0,e.getW(t)+(e.PaddingWidthBug||t.bbox.keepPadding?0:p-r));var 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k=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:v.mathbackground,width:e.Em(l),height:e.Em(u),verticalAlign:e.Em(i),marginLeft:e.Em(r),marginRight:e.Em(p)}});e.setBorders(k,q);if(t.bbox.width){k.style.width=t.bbox.width;k.style.marginRight="-"+t.bbox.width}if(e.msieInlineBlockAlignBug){k.style.position="relative";k.style.width=k.style.height=0;k.style.verticalAlign=k.style.marginLeft=k.style.marginRight="";k.style.border=k.style.padding="";if(q&&e.msieBorderWidthBug){u+=q.top+q.bottom;l+=q.left+q.right}k.style.width=e.Em(o+w);e.placeBox(e.addElement(k,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(v.mathbackground||"transparent"),width:e.Em(l),height:e.Em(u)}}),r,t.bbox.h+w);e.setBorders(k.firstChild,q)}t.parentNode.insertBefore(k,t);if(e.msieColorPositionBug){t.style.position="relative"}return k}return null},HTMLremoveColor:function(){var 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l=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:w.mathbackground,width:d.Em(m),height:d.Em(v),verticalAlign:d.Em(j),marginLeft:d.Em(s),marginRight:d.Em(q)}});d.setBorders(l,r);if(u.bbox.width){l.style.width=u.bbox.width;l.style.marginRight="-"+u.bbox.width}if(d.msieInlineBlockAlignBug){l.style.position="relative";l.style.width=l.style.height=0;l.style.verticalAlign=l.style.marginLeft=l.style.marginRight="";l.style.border=l.style.padding="";if(r&&d.msieBorderWidthBug){v+=r.top+r.bottom;m+=r.left+r.right}l.style.width=d.Em(p+x);d.placeBox(d.addElement(l,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(w.mathbackground||"transparent"),width:d.Em(m),height:d.Em(v)}}),s,u.bbox.h+x);d.setBorders(l.firstChild,r)}u.parentNode.insertBefore(l,u);if(d.msieColorPositionBug){u.style.position="relative"}return l}return null},HTMLremoveColor:function(){var 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o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o=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=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=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p=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.em0&&(m+o)*this.em0&&p.offsetWidth==0){p.style.width=this.Em(r)}if(q.isBox||q.className=="mspace"){q.bbox=p.bbox,q.HH=m+o}return p},createFrame:function(r,p,q,s,v,k){var o=(this.msieBorderWidthBug?0:2*v);var u=this.Em(p+q-o),j=this.Em(-q-v),n=this.Em(s-o);var l=this.Em(v)+" "+k;var m=this.addElement(r,"span",{style:{border:l,display:"inline-block",overflow:"hidden",width:n,height:u},bbox:{h:p,d:q,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:p+q,isMathJax:true});if(j){m.style.verticalAlign=j}return m},createStack:function(l,n,k){if(this.msiePaddingWidthBug){this.createStrut(l,0)}var m=String(k).match(/%$/);var j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete w.H}if(w.D!=null&&w.D<=w.d){delete w.D}if(B.w+q>w.w){w.w=B.w+q;if(w.width==null){u.style.width=this.Em(w.w)}}if(B.rw+q>w.rw){w.rw=B.rw+q}if(B.lw+q=l-0.01||(r==o-1&&!k.stretch)){if(k.HW[r][2]){p*=k.HW[r][2]}if(k.HW[r][3]){j=k.HW[r][3]}var q=this.addElement(t,"span");this.createChar(q,[j,k.HW[r][1]],p,n);t.bbox=q.bbox;t.offset=0.65*t.bbox.w;t.scale=p;return}}if(k.stretch){this["extendDelimiter"+k.dir](t,s,k.stretch,p,n)}},extendDelimiterV:function(z,s,D,E,v){var m=this.createStack(z,true);var u=this.createBox(m),t=this.createBox(m);this.createChar(u,(D.top||D.ext),E,v);this.createChar(t,(D.bot||D.ext),E,v);var l={bbox:{w:0,lw:0,rw:0}},C=l,o;var A=u.bbox.h+u.bbox.d+t.bbox.h+t.bbox.d;var q=-u.bbox.h;this.placeBox(u,0,q,true);q-=u.bbox.d;if(D.mid){C=this.createBox(m);this.createChar(C,D.mid,E,v);A+=C.bbox.h+C.bbox.d}if(s>A){l=this.Element("span");this.createChar(l,D.ext,E,v);var B=l.bbox.h+l.bbox.d,j=B-0.05,w,p,x=(D.mid?2:1);p=w=Math.ceil((s-A)/(x*j));if(!D.fullExtenders){j=(s-A)/(x*w)}var r=(w/(w+1))*(B-j);j=B-r;q+=r+j-l.bbox.h;while(x-->0){while(w-->0){if(!this.msieCloneNodeBug){o=l.cloneNode(true)}else{o=this.Element("span");this.createChar(o,D.ext,E,v)}q-=j;this.placeBox(this.addBox(m,o),0,q,true)}q+=r-l.bbox.d;if(D.mid&&x){this.placeBox(C,0,q-C.bbox.h,true);w=p;q+=-(C.bbox.h+C.bbox.d)+r+j-l.bbox.h}}}else{q+=(A-s)/2;if(D.mid){this.placeBox(C,0,q-C.bbox.h,true);q+=-(C.bbox.h+C.bbox.d)}q+=(A-s)/2}this.placeBox(t,0,q-t.bbox.h,true);q-=t.bbox.h+t.bbox.d;z.bbox={w:Math.max(u.bbox.w,l.bbox.w,t.bbox.w,C.bbox.w),lw:Math.min(u.bbox.lw,l.bbox.lw,t.bbox.lw,C.bbox.lw),rw:Math.max(u.bbox.rw,l.bbox.rw,t.bbox.rw,C.bbox.rw),h:0,d:-q,exactW:true};z.scale=E;z.offset=0.55*z.bbox.w;z.isMultiChar=true;this.setStackWidth(m,z.bbox.w)},extendDelimiterH:function(A,m,D,F,v){var q=this.createStack(A,true);var o=this.createBox(q),B=this.createBox(q);this.createChar(o,(D.left||D.rep),F,v);this.createChar(B,(D.right||D.rep),F,v);var j=this.Element("span");this.createChar(j,D.rep,F,v);var C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var E=j.bbox.rw-j.bbox.lw,p=E-0.05,y,r,z=(D.mid?2:1);r=y=Math.ceil((m-t)/(z*p));if(!D.fillExtenders){p=(m-t)/(z*y)}u=(y/(y+1))*(E-p);p=E-u;s-=j.bbox.lw+u;while(z-->0){while(y-->0){if(!this.msieCloneNodeBug){l=j.cloneNode(true)}else{l=this.Element("span");this.createChar(l,D.rep,F,v)}this.placeBox(this.addBox(q,l),s,0,true);s+=p}if(D.mid&&z){this.placeBox(C,s,0,true);s+=C.bbox.w-u;y=r}}}else{u=Math.min(t-m,o.bbox.w/2);s-=u/2;if(D.mid){this.placeBox(C,s,0,true);s+=C.bbox.w}s-=u/2}this.placeBox(B,s,0,true);A.bbox={w:s+B.bbox.rw,lw:0,rw:s+B.bbox.rw,H:Math.max(o.bbox.h,j.bbox.h,B.bbox.h,C.bbox.h),D:Math.max(o.bbox.d,j.bbox.d,B.bbox.d,C.bbox.d),h:j.bbox.h,d:j.bbox.d,exactW:true};A.scale=F;A.isMultiChar=true;this.setStackWidth(q,A.bbox.w)},createChar:function(r,o,l,j){r.isMathJax=true;var q=r,s="",n={fonts:[o[1]],noRemap:true};if(j&&j===f.VARIANT.BOLD){n.fonts=[o[1]+"-bold",o[1]]}if(typeof(o[1])!=="string"){n=o[1]}if(o[0] instanceof Array){for(var 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l=o.remap[v];v=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{v=o.remap[v];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}if(this.FONTDATA.REMAP[v]&&!o.noRemap){v=this.FONTDATA.REMAP[v]}s=this.lookupChar(o,v);B=s[v];if(o!==A&&!B[5].img){if(x.length){this.addText(j,x);x=""}j=y;A=k;if(o!==A){if(A){j=this.addElement(y,"span",{isMathJax:true})}else{k=o}}this.handleFont(j,s,j!==y);A=o}x=this.handleChar(j,s,B,v,x);if(B[0]/1000>y.bbox.h){y.bbox.h=B[0]/1000}if(B[1]/1000>y.bbox.d){y.bbox.d=B[1]/1000}if(y.bbox.w+B[3]/1000y.bbox.rw){y.bbox.rw=y.bbox.w+B[4]/1000}y.bbox.w+=B[2]/1000}if(x.length){this.addText(j,x)}if(y.scale&&y.scale!==1){y.bbox.h*=y.scale;y.bbox.d*=y.scale;y.bbox.w*=y.scale;y.bbox.lw*=y.scale;y.bbox.rw*=y.scale}if(r.length==1&&s.skew&&s.skew[v]){y.bbox.skew=s.skew[v]}},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!(d.FontFaceBug&&j.isWebFont)){var k=j.style||"normal",m=j.weight||"normal";if(k!=="normal"||n){l.style.fontStyle=k}if(m!=="normal"||n){l.style.fontWeight=m}}},handleChar:function(k,j,q,p,o){var m=q[5];if(m.img){return this.handleImg(k,j,q,p,o)}if(m.isUnknown&&this.FONTDATA.DELIMITERS[p]){if(o.length){this.addText(k,o)}var l=k.scale;d.createDelimiter(k,p,0,1,j);k.scale=l;q[0]=k.bbox.h*1000;q[1]=k.bbox.d*1000;q[2]=k.bbox.w*1000;q[3]=k.bbox.lw*1000;q[4]=k.bbox.rw*1000;return""}if(m.c==null){if(p<=65535){m.c=String.fromCharCode(p)}else{m.c=this.PLANE1+String.fromCharCode(p-119808+56320)}}if(m.rfix){this.addText(k,m.c);d.createShift(k,m.rfix/1000);return""}if(q[2]||!this.msieAccentBug||o.length){return o+m.c}d.createShift(k,q[3]/1000);d.createShift(k,(q[4]-q[3])/1000);this.addText(k,m.c);d.createShift(k,-q[4]/1000);return""},handleImg:function(k,j,o,m,l){return l},lookupChar:function(o,r){var l,j;if(!o.FONTS){var q=this.FONTDATA.FONTS;var p=(o.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(p instanceof Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.HTMLspanElement()},HTMLstretchV:function(k,j,l){return this.HTMLspanElement()},HTMLnotEmpty:function(j){while(j){if((j.type!=="mrow"&&j.type!=="texatom")||j.data.length>1){return true}j=j.data[0]}return false},HTMLmeasureChild:function(k,j){if(this.data[k]){d.Measured(this.data[k].toHTML(j),j)}else{j.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(k,j){if(this.data[k]){return this.data[k].toHTML(j)}return null},HTMLcreateSpan:function(j){if(this.spanID){var k=this.HTMLspanElement();if(k){while(k.firstChild){k.removeChild(k.firstChild)}k.bbox={w:0,h:0,d:0,lw:0,rw:0};k.scale=1;k.isMultChar=null;k.style.cssText="";return k}}if(this.href){j=d.addElement(j,"a",{href:this.href,isMathJax:true})}j=d.addElement(j,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){j.style.display="inline-block"}if(this["class"]!=null){j.className+=" 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o=q.HTMLCSSlast,j=q.HTMLCSSeqn;o=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=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=0&&!this.initialSkipBug)||this.negativeBBoxes||!s.firstChild){k=s.offsetWidth;r.HH=s.parentNode.offsetHeight/this.em}else{if(t.w<0&&this.msieNegativeBBoxBug){k=-s.offsetWidth,r.HH=s.parentNode.offsetHeight/this.em}else{k=q[p][2].offsetLeft-q[p][1].offsetLeft}}k/=this.em;t.rw+=k-t.w;t.w=k;t.exactW=true;if(!r.bbox){r.bbox=t}}for(p=0,l=q.length;p=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 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j=(!m&&k!=null?k:0);l=this.addElement(l,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(m?"100%":this.Em(j)),height:0}});if(!n){l.parentNode.bbox=l.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:j,lw:this.BIGDIMEN,rw:(!m&&k!=null?k:-this.BIGDIMEN)};if(m){l.bbox.width=k}}return l},createBox:function(k,j){var l=this.addElement(k,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(j!=null){l.style.width=j}return l},addBox:function(j,k){k.style.position="absolute";k.isBox=true;return j.appendChild(k)},placeBox:function(s,q,p,n){s.isMathJax=true;var u=s.parentNode,B=s.bbox,w=u.bbox;if(this.msiePlaceBoxBug){this.addText(s,this.NBSP)}if(this.imgSpaceBug){this.addText(s,this.imgSpace)}var v,E=0;if(s.HH!=null){v=s.HH}else{if(B){v=Math.max(3,B.h+B.d)}else{v=s.offsetHeight/this.em}}if(!s.noAdjust){v+=1;if(this.msieInlineBlockAlignBug){this.addElement(s,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(v)}})}else{this.addElement(s,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(v)}})}}s.style.top=this.Em(-p-v);s.style.left=this.Em(q+E);if(B){if(this.initialSkipBug){if(B.lw<0){E=B.lw;d.createBlank(s,-E,true);m=0}if(B.rw>B.w){d.createBlank(s,B.rw-B.w+0.1)}}if(!this.msieClipRectBug&&!B.noclip&&!n){var A=3/this.em;var z=(B.H==null?B.h:B.H),k=(B.D==null?B.d:B.D);var C=v-z-A,o=v+k+A,m=B.lw-3*A,j=1000;if(B.isFixed){j=B.width-m}s.style.clip="rect("+this.Em(C)+" "+this.Em(j)+" "+this.Em(o)+" "+this.Em(m)+")"}}if(B&&w){if(B.H!=null&&(w.H==null||B.H+p>w.H)){w.H=B.H+p}if(B.D!=null&&(w.D==null||B.D-p>w.D)){w.D=B.D-p}if(B.h+p>w.h){w.h=B.h+p}if(B.d-p>w.d){w.d=B.d-p}if(w.H!=null&&w.H<=w.h){delete 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C={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},l;this.placeBox(o,-o.bbox.lw,0,true);var t=(o.bbox.rw-o.bbox.lw)+(B.bbox.rw-B.bbox.lw)-0.05,s=o.bbox.rw-o.bbox.lw-0.025,u;if(D.mid){C=this.createBox(q);this.createChar(C,D.mid,F,v);t+=C.bbox.w}if(m>t){var 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l=o.remap[v];v=l[0];o=this.FONTDATA.VARIANT[l[1]]}else{v=o.remap[v];if(o.remap.variant){o=this.FONTDATA.VARIANT[o.remap.variant]}}}if(this.FONTDATA.REMAP[v]&&!o.noRemap){v=this.FONTDATA.REMAP[v]}s=this.lookupChar(o,v);B=s[v];if(o!==A&&!B[5].img){if(x.length){this.addText(j,x);x=""}j=y;A=k;if(o!==A){if(A){j=this.addElement(y,"span",{isMathJax:true})}else{k=o}}this.handleFont(j,s,j!==y);A=o}x=this.handleChar(j,s,B,v,x);if(B[0]/1000>y.bbox.h){y.bbox.h=B[0]/1000}if(B[1]/1000>y.bbox.d){y.bbox.d=B[1]/1000}if(y.bbox.w+B[3]/1000y.bbox.rw){y.bbox.rw=y.bbox.w+B[4]/1000}y.bbox.w+=B[2]/1000}if(x.length){this.addText(j,x)}if(y.scale&&y.scale!==1){y.bbox.h*=y.scale;y.bbox.d*=y.scale;y.bbox.w*=y.scale;y.bbox.lw*=y.scale;y.bbox.rw*=y.scale}if(r.length==1&&s.skew&&s.skew[v]){y.bbox.skew=s.skew[v]}},handleFont:function(l,j,n){l.style.fontFamily=j.family;if(!(d.FontFaceBug&&j.isWebFont)){var 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Array)){p=[p]}if(o.fonts!=p){o.fonts=p}o.FONTS=[];for(l=0,j=p.length;l=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){var j=MathJax.Callback.Queue();j.Push(["Require",g,this.fontDir+"/"+k]);if(this.imgFonts){if(!MathJax.isPacked){k=k.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}j.Push(["Require",g,this.webfontDir+"/png/"+k])}b.RestartAfter(j.Push({}))},loadWebFont:function(j){j.available=j.isWebFont=true;if(d.FontFaceBug){j.family=j.name;if(d.msieFontCSSBug){j.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(j))},loadWebFontError:function(k,j){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");k.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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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(yw){k=((r.bbox.h+r.bbox.d)-(w-z))/2}var A=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!A||nJ){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;LJ){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;L0){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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5*1000, // timeout for loading web fonts + timeout: (isMobile? 15:8)*1000, // timeout for loading web fonts FontInfo: { STIX: {family: "STIXSizeOneSym", testString: "() {} []"}, @@ -138,7 +138,7 @@ }, loadComplete: function (font,n,done,status) { MathJax.Message.Clear(n); - if (status === AJAX.STATUS.OK) {done(); return} + if (status === AJAX.STATUS.OK) {this.webFontLoaded = true; done(); return} this.loadError(font); if (HUB.Browser.isFirefox && HTMLCSS.allowWebFonts) { var host = document.location.protocol + "//" + document.location.hostname; @@ -147,7 +147,7 @@ if (AJAX.fileURL(HTMLCSS.webfontDir).substr(0,host.length) !== host) {this.firefoxFontError(font)} } - HTMLCSS.loadWebFontError(font,done); + if (!this.webFontLoaded) {HTMLCSS.loadWebFontError(font,done)} else {done()} }, loadError: function (font) { MathJax.Message.Set("Can't load web font "+HTMLCSS.fontInUse+"/"+font.directory,null,2000);