From cf94772f24e6a69f93e4b1328c80afdf94c79bd4 Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" <dpvc@union.edu> Date: Mon, 10 Sep 2012 19:01:19 -0400 Subject: [PATCH] Repack and recombine previous commit in this branch --- config/TeX-AMS-MML_SVG-full.js | 2 +- jax/output/HTML-CSS/autoload/multiline.js | 2 +- jax/output/SVG/autoload/multiline.js | 2 +- jax/output/SVG/jax.js | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js index 670bcc902..cac195fd9 100644 --- a/config/TeX-AMS-MML_SVG-full.js +++ b/config/TeX-AMS-MML_SVG-full.js @@ -67,7 +67,7 @@ MathJax.Extension["TeX/AMSsymbols"]={version:"2.0.1"};MathJax.Hub.Register.Start (function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a <math> element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(g){var h=String(g.getAttribute("class")||"");var e,f=g.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var d=(h.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(d){e=this.TeXAtom(d[2])}else{if(!(a[f]&&a[f].isa&&a[f].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - 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MathJax.");return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});b.prefilterHooks.Add(function(d){d.math=(typeof(d.math)==="string"?b.prefilterMath(d.math,d.script):b.prefilterMathML(d.math,d.script))});b.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8"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o,x,z,p,A,t,q,l,y,k;if(!s){s=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}if(s.forceFamily){C=i.TEXT(r,C,s.font);if(s.h!=null){C.h=s.h}if(s.d!=null){C.d=s.d}v.Add(C);C=""}A=s;for(t=0,q=C.length;t<q;t++){s=A;o=C.charCodeAt(t);z=C.charAt(t);if(o>=55296&&o<56319){t++;o=(((o-55296)<<10)+(C.charCodeAt(t)-56320))+65536;if(this.FONTDATA.RemapPlane1){var w=this.FONTDATA.RemapPlane1(o,s);o=w.n;s=w.variant}}else{k=this.FONTDATA.RANGES;for(l=0,y=k.length;l<y;l++){if(k[l].name==="alpha"&&s.noLowerCase){continue}x=s["offset"+k[l].offset];if(x&&o>=k[l].low&&o<=k[l].high){if(k[l].remap&&k[l].remap[o]){o=x+k[l].remap[o]}else{o=o-k[l].low+x;if(k[l].add){o+=k[l].add}}if(s["variant"+k[l].offset]){s=this.FONTDATA.VARIANT[s["variant"+k[l].offset]]}break}}}if(s.remap&&s.remap[o]){if(s.remap[o] instanceof Array){var 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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 n.element}if(n.hasIndent){this.hasIndent=n.hasIndent}if(n.d-n.y>this.d){this.d=n.d-n.y;if(this.d>this.D){this.D=this.d}}if(n.y+n.h>this.h){this.h=n.y+n.h;if(this.h>this.H){this.H=this.h}}if(n.D-n.y>this.D){this.D=n.D-n.y}if(n.y+n.H>this.H){this.H=n.y+n.H}if(n.x+n.l<this.l){this.l=n.x+n.l}if(n.x+n.r>this.r){this.r=n.x+n.r}if(p||n.x+n.w+(n.X||0)>this.w){this.w=n.x+n.w+(n.X||0)}this.childScale=n.scale;this.childX=n.x;this.childY=n.y;this.n++;return n},Align:function(m,n,l,k){l=({left:l,center:(this.w-m.w)/2,right:this.w-m.w-l})[n]||0;this.Add(m,l,k)},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});i.ROW=i.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(l){var k=l.toSVG();this.svg.push(k);if(l.SVGcanStretch("Vertical")){k.mml=l}if(k.h>this.sh){this.sh=k.h}if(k.d>this.sd){this.sd=k.d}},Stretch:function(){for(var o=0,k=this.svg.length;o<k;o++){var l=this.svg[o],n=l.mml;if(n){l=n.SVGstretchV(this.sh,this.sd);n.SVGdata.HW=this.sh;n.SVGdata.D=this.sd}if(l.ic){this.ic=l.ic}else{delete this.ic}this.Add(l,this.w,0,true)}delete this.svg}});i.RECT=i.Subclass({type:"rect",removeable:false,Init:function(l,n,k,m){if(m==null){m={stroke:"none"}}m.width=Math.floor(k);m.height=Math.floor(l+n);this.SUPER(arguments).Init.call(this,m);this.w=this.r=k;this.h=this.H=l+n;this.d=this.D=this.l=0;this.y=-n}});i.FRAME=i.Subclass({type:"rect",removeable:false,Init:function(n,q,k,m,p,l,o){if(o==null){o={}}o.fill="none";o["stroke-width"]=m.toFixed(2).replace(/\.?0+$/,"");o.width=Math.floor(k-m);o.height=Math.floor(n+q-m);o.transform="translate("+Math.floor(m/2)+","+Math.floor(-q+m/2)+")";if(p==="dashed"){o["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,o);this.w=this.r=k;this.h=this.H=n;this.d=this.D=q;this.l=0}});i.HLINE=i.Subclass({type:"line",removeable:false,Init:function(l,p,r,o,q){if(q==null){q={}}if(o&&o!==""){q.stroke=o}q["stroke-width"]=p.toFixed(2).replace(/\.?0+$/,"");q.x1=0;q.y1=q.y2=p/2;q.x2=Math.floor(l);if(r==="dashed"){var s=Math.floor(l/(6*p)),k=Math.floor(l/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=l;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.VLINE=i.Subclass({type:"line",removeable:false,Init:function(p,o,r,l,q){if(q==null){q={}}if(l&&l!==""){q.stroke=l}q["stroke-width"]=o.toFixed(2).replace(/\.?0+$/,"");q.x1=q.x2=o/2;q.y1=0;q.y2=Math.floor(p);if(r==="dashed"){var s=Math.floor(p/(6*o)),k=Math.floor(p/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=o;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.TEXT=i.Subclass({type:"text",removeable:false,Init:function(n,m,k){if(!k){k={}}k.stroke="none";this.SUPER(arguments).Init.call(this,k);a.addText(this.element,m);a.textSVG.appendChild(this.element);var l=this.element.getBBox();a.textSVG.removeChild(this.element);n*=1000/a.em;this.element.setAttribute("transform","scale("+n+") matrix(1 0 0 -1 0 0)");this.w=this.r=l.width*n;this.l=0;this.h=this.H=-l.y*n;this.d=this.D=(l.height+l.y)*n}});i.G=i;i.NULL=i.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});var f,d;i.GLYPH=i.Subclass({type:"path",removeable:false,Init:function(q,m,u,v,x,s,k,n){var o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGdataStretched:function(l,k,m){this.SVGdata={HW:k,D:m};if(m!=null){return this.data[l].SVGstretchV(k,m)}if(k!=null){return this.data[l].SVGstretchH(k)}return this.data[l].toSVG()},SVGsaveData:function(l){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=l.w,this.SVGdata.x=l.x;this.SVGdata.h=l.h,this.SVGdata.d=l.d;if(l.X!=null){this.SVGdata.X=l.X}if(this["class"]){l.removeable=false;a.Element(l.element,{"class":this["class"]})}if(this.id){l.removeable=false;a.Element(l.element,{id:this.id})}if(this.href){var k=a.Element("a");k.setAttributeNS(j,"href",this.href);k.onclick=this.SVGlink;a.addElement(k,"rect",{width:l.w,height:l.h+l.d,y:-l.d,fill:"none",stroke:"none","pointer-events":"all"});if(l.type==="svg"){var n=l.element.firstChild;while(n.firstChild){k.appendChild(n.firstChild)}n.appendChild(k)}else{if(l.removeable&&l.element.nodeName==="g"){while(l.element.firstChild){k.appendChild(l.element.firstChild)}}else{k.appendChild(l.element)}l.element=k}l.removeable=false}if(a.config.addMMLclasses){l.removeable=false;l.element.setAttribute("className","mjx-svg-"+this.type)}var m=this.style;if(m&&l.element){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===""}}},SVGlink:function(){var k=this.href.animVal;if(k.charAt(0)==="#"){var l=a.hashCheck(document.getElementById(k.substr(1)));if(l&&l.scrollIntoView){setTimeout(function(){l.parentNode.scrollIntoView(true)},1)}}document.location=k},SVGgetStyles:function(){if(this.style){var k=e.Element("span");k.style.cssText=this.style;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var k=this,o=this.Parent();while(o&&o.isEmbellished()&&o.Core()===k){k=o;o=o.Parent()}if(m.lspace){n.x+=m.lspace}if(m.rspace){n.X=m.rspace}}}else{var p=this.texSpacing();if(p!==""){n.x+=a.length2em(p,this.SVGgetScale())/n.scale}}},SVGhandleColor:function(o){var w=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!w.color){w.color=this.styles.color}if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.mathcolor){a.Element(o.element,{fill:w.mathcolor,stroke:w.mathcolor});o.removeable=false}var s=(this.styles||{}).border,u=(this.styles||{}).padding,t=((s||{}).left||0),q=((u||{}).left||0),k;w.background=(this.mathbackground||this.background||(this.styles||{}).background||g.COLOR.TRANSPARENT);if(t+q){var l=i();for(k in o){if(o.hasOwnProperty(k)){l[k]=o[k]}}l.x=0;l.y=0;o.element=a.Element("g");o.removeable=true;o.Add(l,t+q,0)}if(u){o.w+=u.right;o.h+=u.top;o.d+=u.bottom}if(s){o.w+=s.right;o.h+=s.top;o.d+=s.bottom}if(w.background!==g.COLOR.TRANSPARENT){if(o.element.nodeName!=="g"&&o.element.nodeName!=="svg"){var p=a.Element("g");p.appendChild(o.element);o.element=p;o.removeable=true}o.Add(i.RECT(o.h,o.d,o.w,{fill:w.background,stroke:"none"}),0,0,false,true)}if(s){var v=5;var m={left:["V",o.h+o.d,-v,-o.d],right:["V",o.h+o.d,o.w-s.right+v,-o.d],top:["H",o.w,0,o.h-s.top+v],bottom:["H",o.w,0,-o.d-v]};for(k in m){if(m.hasOwnProperty(k)){if(s[k]){var r=m[k],n=i[r[0]+"LINE"];o.Add(n(r[1],s[k],s[k+"Style"],s[k+"Color"]),r[2],r[3])}}}}},SVGhandleVariant:function(k,m,l){return a.HandleVariant(k,m,l)},SVGgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var l=k.mathvariant;if(this.variantForm){l="-TeX-variant"}k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.styles){if(!k.style&&this.styles.fontStyle){k.style=this.styles.fontStyle}if(!k.weight&&this.styles.fontWeight){k.weight=this.styles.fontWeight}if(!k.family&&this.styles.fontFamily){k.family=this.styles.fontFamily}}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}l={forceFamily:true,font:{"font-family":k.family}};if(k.style){l.font["font-style"]=k.style}if(k.weight){l.font["font-weight"]=k.weight}return l}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}return a.FONTDATA.VARIANT[l]},SVGgetScale:function(){var l=1,k=this.getValues("mathsize","scriptlevel","fontsize");if((this.styles||{}).fontSize&&!k.fontsize){k.fontsize=this.styles.fontSize}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(l<k.scriptminsize){l=k.scriptminsize}}if(this.isToken){l*=a.length2em(k.mathsize)/1000}return l},SVGgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},SVGnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},SVGcanStretch:function(k){if(this.isEmbellished()){return this.Core().SVGcanStretch(k)}return false},SVGstretchV:function(k,l){return this.toSVG(k,l)},SVGstretchH:function(k){return this.toSVG(k)},SVGlineBreaks:function(){return false}},{SVGautoload:function(){var k=a.autoloadDir+"/"+this.type+".js";c.RestartAfter(h.Require(k))},SVGautoloadFile:function(k){var l=a.autoloadDir+"/"+k+".js";c.RestartAfter(h.Require(l))}});g.chars.Augment({toSVG:function(l,o,k,m){var n=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.entity.Augment({toSVG:function(l,o,k,m){var n=this.toString().replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.mo.Augment({toSVG:function(l,k){this.SVGgetStyles();var t=this.svg=this.SVG();this.SVGhandleSpace(t);if(this.data.length==0){t.Clean();this.SVGsaveData(t);return t}if(k!=null){return this.SVGstretchV(l,k)}else{if(l!=null){return this.SVG.strechH(l)}}var p=this.SVGgetScale(),r=this.SVGgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){r=a.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),q=(y&&y.isa(g.msubsup)&&this!==y.data[0]),n=(q?this.SVGremapChars:null);if(this.data.join("").length===1&&y&&y.isa(g.munderover)&&this.CoreText(y.data[y.base]).length===1){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){n=a.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){n=a.FONTDATA.REMAPACCENTUNDER}}}if(q&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){r=a.FONTDATA.VARIANT["-TeX-variant"]}for(var s=0,o=this.data.length;s<o;s++){if(this.data[s]){var A=this.data[s].toSVG(r,p,this.SVGremap,n),v=t.w;if(v===0&&-A.l>10*A.w){v+=-A.l}t.Add(A,v,0,true);if(A.skew){t.skew=A.skew}}}t.Clean();if(this.data.join("").length!==1){delete t.skew}if(z.largeop){t.y=(t.h-t.d)/2/p-a.TeX.axis_height;if(t.r>t.w){t.ic=t.r-t.w;t.w=t.r}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while(k.isa(g.mrow)&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},SVGremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},SVGremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},SVGcanStretch:function(o){if(!this.Get("stretchy")){return false}var p=this.data.join("");if(p.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var n=l.data[l.over],k=l.data[l.under];if(n&&this===n.CoreMO()&&l.Get("accent")){p=a.FONTDATA.REMAPACCENT[p]||p}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER[p]||p}}}p=a.FONTDATA.DELIMITERS[p.charCodeAt(0)];var m=(p&&p.dir==o.substr(0,1));if(!m){delete this.svg}return m},SVGstretchV:function(p,q){var m=this.svg||this.toSVG();var l=this.getValues("symmetric","maxsize","minsize");var o=a.TeX.axis_height,k=this.SVGgetMu(m),n;if(l.symmetric){n=2*Math.max(p-o,q+o)}else{n=p+q}l.maxsize=a.length2em(l.maxsize,k,m.h+m.d);l.minsize=a.length2em(l.minsize,k,m.h+m.d);n=Math.max(l.minsize,Math.min(l.maxsize,n));m=a.createDelimiter(this.data.join("").charCodeAt(0),n,m.scale);if(l.symmetric){n=(m.h+m.d)/2+o}else{n=(m.h+m.d)*p/(p+q)}m.y=n-m.h;this.SVGhandleSpace(m);this.SVGhandleColor(m);delete this.svg.element;this.SVGsaveData(m);return m},SVGstretchH:function(l){var n=this.svg||this.toSVG(),k=this.SVGgetMu(n);var 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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&&!s.hasIndent){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return 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k=e.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.textSVG=this.Element("svg");d=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});f={};this.ExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_SVG_ExBox"}]]);this.linebreakSpan=e.Element("span",null,[["hr",{style:{width:"auto",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){document.body.appendChild(this.ExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.ExSpan.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.ExSpan)},preTranslate:function(o){var 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o,x,z,p,A,t,q,l,y,k;if(!s){s=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}if(s.forceFamily){C=i.TEXT(r,C,s.font);if(s.h!=null){C.h=s.h}if(s.d!=null){C.d=s.d}v.Add(C);C=""}A=s;for(t=0,q=C.length;t<q;t++){s=A;o=C.charCodeAt(t);z=C.charAt(t);if(o>=55296&&o<56319){t++;o=(((o-55296)<<10)+(C.charCodeAt(t)-56320))+65536;if(this.FONTDATA.RemapPlane1){var w=this.FONTDATA.RemapPlane1(o,s);o=w.n;s=w.variant}}else{k=this.FONTDATA.RANGES;for(l=0,y=k.length;l<y;l++){if(k[l].name==="alpha"&&s.noLowerCase){continue}x=s["offset"+k[l].offset];if(x&&o>=k[l].low&&o<=k[l].high){if(k[l].remap&&k[l].remap[o]){o=x+k[l].remap[o]}else{o=o-k[l].low+x;if(k[l].add){o+=k[l].add}}if(s["variant"+k[l].offset]){s=this.FONTDATA.VARIANT[s["variant"+k[l].offset]]}break}}}if(s.remap&&s.remap[o]){if(s.remap[o] instanceof Array){var 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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 n.element}if(n.hasIndent){this.hasIndent=n.hasIndent}if(n.d-n.y>this.d){this.d=n.d-n.y;if(this.d>this.D){this.D=this.d}}if(n.y+n.h>this.h){this.h=n.y+n.h;if(this.h>this.H){this.H=this.h}}if(n.D-n.y>this.D){this.D=n.D-n.y}if(n.y+n.H>this.H){this.H=n.y+n.H}if(n.x+n.l<this.l){this.l=n.x+n.l}if(n.x+n.r>this.r){this.r=n.x+n.r}if(p||n.x+n.w+(n.X||0)>this.w){this.w=n.x+n.w+(n.X||0)}this.childScale=n.scale;this.childX=n.x;this.childY=n.y;this.n++;return n},Align:function(m,n,l,k){l=({left:l,center:(this.w-m.w)/2,right:this.w-m.w-l})[n]||0;this.Add(m,l,k)},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});i.ROW=i.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(l){var k=l.toSVG();this.svg.push(k);if(l.SVGcanStretch("Vertical")){k.mml=l}if(k.h>this.sh){this.sh=k.h}if(k.d>this.sd){this.sd=k.d}},Stretch:function(){for(var o=0,k=this.svg.length;o<k;o++){var l=this.svg[o],n=l.mml;if(n){l=n.SVGstretchV(this.sh,this.sd);n.SVGdata.HW=this.sh;n.SVGdata.D=this.sd}if(l.ic){this.ic=l.ic}else{delete this.ic}this.Add(l,this.w,0,true)}delete this.svg}});i.RECT=i.Subclass({type:"rect",removeable:false,Init:function(l,n,k,m){if(m==null){m={stroke:"none"}}m.width=Math.floor(k);m.height=Math.floor(l+n);this.SUPER(arguments).Init.call(this,m);this.w=this.r=k;this.h=this.H=l+n;this.d=this.D=this.l=0;this.y=-n}});i.FRAME=i.Subclass({type:"rect",removeable:false,Init:function(n,q,k,m,p,l,o){if(o==null){o={}}o.fill="none";o["stroke-width"]=m.toFixed(2).replace(/\.?0+$/,"");o.width=Math.floor(k-m);o.height=Math.floor(n+q-m);o.transform="translate("+Math.floor(m/2)+","+Math.floor(-q+m/2)+")";if(p==="dashed"){o["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,o);this.w=this.r=k;this.h=this.H=n;this.d=this.D=q;this.l=0}});i.HLINE=i.Subclass({type:"line",removeable:false,Init:function(l,p,r,o,q){if(q==null){q={}}if(o&&o!==""){q.stroke=o}q["stroke-width"]=p.toFixed(2).replace(/\.?0+$/,"");q.x1=0;q.y1=q.y2=p/2;q.x2=Math.floor(l);if(r==="dashed"){var s=Math.floor(l/(6*p)),k=Math.floor(l/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=l;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.VLINE=i.Subclass({type:"line",removeable:false,Init:function(p,o,r,l,q){if(q==null){q={}}if(l&&l!==""){q.stroke=l}q["stroke-width"]=o.toFixed(2).replace(/\.?0+$/,"");q.x1=q.x2=o/2;q.y1=0;q.y2=Math.floor(p);if(r==="dashed"){var s=Math.floor(p/(6*o)),k=Math.floor(p/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=o;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.TEXT=i.Subclass({type:"text",removeable:false,Init:function(n,m,k){if(!k){k={}}k.stroke="none";this.SUPER(arguments).Init.call(this,k);a.addText(this.element,m);a.textSVG.appendChild(this.element);var l=this.element.getBBox();a.textSVG.removeChild(this.element);n*=1000/a.em;this.element.setAttribute("transform","scale("+n+") matrix(1 0 0 -1 0 0)");this.w=this.r=l.width*n;this.l=0;this.h=this.H=-l.y*n;this.d=this.D=(l.height+l.y)*n}});i.G=i;i.NULL=i.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});var f,d;i.GLYPH=i.Subclass({type:"path",removeable:false,Init:function(q,m,u,v,x,s,k,n){var o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGdataStretched:function(l,k,m){this.SVGdata={HW:k,D:m};if(m!=null){return this.data[l].SVGstretchV(k,m)}if(k!=null){return this.data[l].SVGstretchH(k)}return this.data[l].toSVG()},SVGsaveData:function(l){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=l.w,this.SVGdata.x=l.x;this.SVGdata.h=l.h,this.SVGdata.d=l.d;if(l.X!=null){this.SVGdata.X=l.X}if(this["class"]){l.removeable=false;a.Element(l.element,{"class":this["class"]})}if(this.id){l.removeable=false;a.Element(l.element,{id:this.id})}if(this.href){var k=a.Element("a");k.setAttributeNS(j,"href",this.href);k.onclick=this.SVGlink;a.addElement(k,"rect",{width:l.w,height:l.h+l.d,y:-l.d,fill:"none",stroke:"none","pointer-events":"all"});if(l.type==="svg"){var n=l.element.firstChild;while(n.firstChild){k.appendChild(n.firstChild)}n.appendChild(k)}else{if(l.removeable&&l.element.nodeName==="g"){while(l.element.firstChild){k.appendChild(l.element.firstChild)}}else{k.appendChild(l.element)}l.element=k}l.removeable=false}if(a.config.addMMLclasses){l.removeable=false;l.element.setAttribute("className","mjx-svg-"+this.type)}var m=this.style;if(m&&l.element){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===""}}},SVGlink:function(){var k=this.href.animVal;if(k.charAt(0)==="#"){var l=a.hashCheck(document.getElementById(k.substr(1)));if(l&&l.scrollIntoView){setTimeout(function(){l.parentNode.scrollIntoView(true)},1)}}document.location=k},SVGgetStyles:function(){if(this.style){var k=e.Element("span");k.style.cssText=this.style;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var k=this,o=this.Parent();while(o&&o.isEmbellished()&&o.Core()===k){k=o;o=o.Parent()}if(m.lspace){n.x+=m.lspace}if(m.rspace){n.X=m.rspace}}}else{var p=this.texSpacing();if(p!==""){n.x+=a.length2em(p,this.SVGgetScale())/n.scale}}},SVGhandleColor:function(o){var w=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!w.color){w.color=this.styles.color}if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.mathcolor){a.Element(o.element,{fill:w.mathcolor,stroke:w.mathcolor});o.removeable=false}var s=(this.styles||{}).border,u=(this.styles||{}).padding,t=((s||{}).left||0),q=((u||{}).left||0),k;w.background=(this.mathbackground||this.background||(this.styles||{}).background||g.COLOR.TRANSPARENT);if(t+q){var l=i();for(k in o){if(o.hasOwnProperty(k)){l[k]=o[k]}}l.x=0;l.y=0;o.element=a.Element("g");o.removeable=true;o.Add(l,t+q,0)}if(u){o.w+=u.right;o.h+=u.top;o.d+=u.bottom}if(s){o.w+=s.right;o.h+=s.top;o.d+=s.bottom}if(w.background!==g.COLOR.TRANSPARENT){if(o.element.nodeName!=="g"&&o.element.nodeName!=="svg"){var p=a.Element("g");p.appendChild(o.element);o.element=p;o.removeable=true}o.Add(i.RECT(o.h,o.d,o.w,{fill:w.background,stroke:"none"}),0,0,false,true)}if(s){var v=5;var m={left:["V",o.h+o.d,-v,-o.d],right:["V",o.h+o.d,o.w-s.right+v,-o.d],top:["H",o.w,0,o.h-s.top+v],bottom:["H",o.w,0,-o.d-v]};for(k in m){if(m.hasOwnProperty(k)){if(s[k]){var r=m[k],n=i[r[0]+"LINE"];o.Add(n(r[1],s[k],s[k+"Style"],s[k+"Color"]),r[2],r[3])}}}}},SVGhandleVariant:function(k,m,l){return a.HandleVariant(k,m,l)},SVGgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var l=k.mathvariant;if(this.variantForm){l="-TeX-variant"}k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.styles){if(!k.style&&this.styles.fontStyle){k.style=this.styles.fontStyle}if(!k.weight&&this.styles.fontWeight){k.weight=this.styles.fontWeight}if(!k.family&&this.styles.fontFamily){k.family=this.styles.fontFamily}}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}l={forceFamily:true,font:{"font-family":k.family}};if(k.style){l.font["font-style"]=k.style}if(k.weight){l.font["font-weight"]=k.weight}return l}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}return a.FONTDATA.VARIANT[l]},SVGgetScale:function(){var l=1,k=this.getValues("mathsize","scriptlevel","fontsize");if((this.styles||{}).fontSize&&!k.fontsize){k.fontsize=this.styles.fontSize}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(l<k.scriptminsize){l=k.scriptminsize}}if(this.isToken){l*=a.length2em(k.mathsize)/1000}return l},SVGgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},SVGnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},SVGcanStretch:function(k){if(this.isEmbellished()){return this.Core().SVGcanStretch(k)}return false},SVGstretchV:function(k,l){return this.toSVG(k,l)},SVGstretchH:function(k){return this.toSVG(k)},SVGlineBreaks:function(){return false}},{SVGautoload:function(){var k=a.autoloadDir+"/"+this.type+".js";c.RestartAfter(h.Require(k))},SVGautoloadFile:function(k){var l=a.autoloadDir+"/"+k+".js";c.RestartAfter(h.Require(l))}});g.chars.Augment({toSVG:function(l,o,k,m){var n=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.entity.Augment({toSVG:function(l,o,k,m){var n=this.toString().replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.mo.Augment({toSVG:function(l,k){this.SVGgetStyles();var t=this.svg=this.SVG();this.SVGhandleSpace(t);if(this.data.length==0){t.Clean();this.SVGsaveData(t);return t}if(k!=null){return this.SVGstretchV(l,k)}else{if(l!=null){return this.SVG.strechH(l)}}var p=this.SVGgetScale(),r=this.SVGgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){r=a.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),q=(y&&y.isa(g.msubsup)&&this!==y.data[0]),n=(q?this.SVGremapChars:null);if(this.data.join("").length===1&&y&&y.isa(g.munderover)&&this.CoreText(y.data[y.base]).length===1){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){n=a.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){n=a.FONTDATA.REMAPACCENTUNDER}}}if(q&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){r=a.FONTDATA.VARIANT["-TeX-variant"]}for(var s=0,o=this.data.length;s<o;s++){if(this.data[s]){var A=this.data[s].toSVG(r,p,this.SVGremap,n),v=t.w;if(v===0&&-A.l>10*A.w){v+=-A.l}t.Add(A,v,0,true);if(A.skew){t.skew=A.skew}}}t.Clean();if(this.data.join("").length!==1){delete t.skew}if(z.largeop){t.y=(t.h-t.d)/2/p-a.TeX.axis_height;if(t.r>t.w){t.ic=t.r-t.w;t.w=t.r}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while(k.isa(g.mrow)&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},SVGremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},SVGremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},SVGcanStretch:function(o){if(!this.Get("stretchy")){return false}var p=this.data.join("");if(p.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var n=l.data[l.over],k=l.data[l.under];if(n&&this===n.CoreMO()&&l.Get("accent")){p=a.FONTDATA.REMAPACCENT[p]||p}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER[p]||p}}}p=a.FONTDATA.DELIMITERS[p.charCodeAt(0)];var m=(p&&p.dir==o.substr(0,1));if(!m){delete this.svg}return m},SVGstretchV:function(p,q){var m=this.svg||this.toSVG();var l=this.getValues("symmetric","maxsize","minsize");var o=a.TeX.axis_height,k=this.SVGgetMu(m),n;if(l.symmetric){n=2*Math.max(p-o,q+o)}else{n=p+q}l.maxsize=a.length2em(l.maxsize,k,m.h+m.d);l.minsize=a.length2em(l.minsize,k,m.h+m.d);n=Math.max(l.minsize,Math.min(l.maxsize,n));m=a.createDelimiter(this.data.join("").charCodeAt(0),n,m.scale);if(l.symmetric){n=(m.h+m.d)/2+o}else{n=(m.h+m.d)*p/(p+q)}m.y=n-m.h;this.SVGhandleSpace(m);this.SVGhandleColor(m);delete this.svg.element;this.SVGsaveData(m);return m},SVGstretchH:function(l){var n=this.svg||this.toSVG(),k=this.SVGgetMu(n);var 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l=this.SVGgetVariant(),m={};if(l.bold){m["font-weight"]="bold"}if(l.italic){m["font-style"]="italic"}k.Add(i.TEXT(n,this.data.join(""),m));k.Clean();this.SVGhandleColor(k);this.SVGsaveData(k);return k}else{return this.SUPER(arguments).toSVG.call(this)}}}});g.ms.Augment({toSVG:g.mbase.SVGautoload});g.mglyph.Augment({toSVG:g.mbase.SVGautoload});g.mspace.Augment({toSVG:function(){this.SVGgetStyles();var m=this.getValues("height","depth","width");m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var l=this.SVG(),k=this.SVGgetMu(l);l.h=a.length2em(m.height,k)/l.scale;l.d=a.length2em(m.depth,k)/l.scale;l.w=l.r=a.length2em(m.width,k)/l.scale;if(l.w<0){l.x=l.w;l.w=l.r=0}if(l.h<-l.d){l.d=-l.h}l.l=0;l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.mphantom.Augment({toSVG:function(k,m){this.SVGgetStyles();var 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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+(m.y||0)-C,o=m.d-(m.y||0)+A,J=0,F;if(m.ic){m.w-=m.ic;J=1.3*m.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.scale===1&&!m.stretched&&!this.data[this.base].Get("largeop")){w=o=0}}var 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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));this.data[this.sup].SVGdata.dx=J;this.data[this.sup].SVGdata.dy=Math.max(w,H.superscriptshift);this.data[this.sub].SVGdata.dy=-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&&!s.hasIndent){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return 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aG=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aG.width.match(/%$/)){l.width=aG.width=Math.floor(d.cwidth*parseFloat(aG.width)/100)+"px"}var aj=this.SVGgetScale(),r=this.SVGgetMu(l);var aD=-1;var u=[],B=[],h=[],K=[],E=[],aB,aA,t=-1,ay,q,at,N,ai,w;var aI=d.FONTDATA.baselineskip*aj*aG.useHeight,au,X=d.FONTDATA.lineH*aj,ac=d.FONTDATA.lineD*aj;for(aB=0,ay=this.data.length;aB<ay;aB++){N=this.data[aB];at=(N.type==="mlabeledtr"?aD:0);K[aB]=[];u[aB]=B[aB]=0;for(aA=at,q=N.data.length+at;aA<q;aA++){if(h[aA]==null){if(aA>t){t=aA}E[aA]=b.G();h[aA]=-d.BIGDIMEN}ai=N.data[aA-at];K[aB][aA]=ai.toSVG();if(ai.isEmbellished()){w=ai.CoreMO();var 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aa=0,V=0,av,aE=au;if(aG.frame!=="none"||(aG.columnlines+aG.rowlines).match(/solid|dashed/)){aa=d.length2em(aG.framespacing.split(/[, ]+/)[0],r);V=d.length2em(aG.framespacing.split(/[, ]+/)[1],r);aE=au+2*V}var e,ar,ax="";if(typeof(aG.align)!=="string"){aG.align=String(aG.align)}if(aG.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ax=RegExp.$3;aG.align=RegExp.$1}else{aG.align=this.defaults.align}if(ax!==""){ax=parseInt(ax);if(ax<0){ax=K.length+1+ax}if(ax<1){ax=1}else{if(ax>K.length){ax=K.length}}e=0;ar=-(au+V)+u[0];for(aB=0,ay=ax-1;aB<ay;aB++){var T=Math.max((u[aB]+B[aB]?aI:0),B[aB]+u[aB+1]+O[aB]);e+=T;ar+=T}}else{e=({top:-(u[0]+V),bottom:au+V-u[0],center:au/2-u[0],baseline:au/2-u[0],axis:au/2+d.TeX.axis_height*aj-u[0]})[aG.align];ar=({top:-(au+2*V),bottom:0,center:-(au/2+V),baseline:-(au/2+V),axis:d.TeX.axis_height*aj-au/2-V})[aG.align]}var 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an=e,k,az;at=(E[aD]?aD:0);for(aA=at;aA<=t;aA++){E[aA].w=h[aA];for(aB=0,ay=K.length;aB<ay;aB++){if(K[aB][aA]){at=(this.data[aB].type==="mlabeledtr"?aD:0);ai=this.data[aB].data[aA-at];if(ai.SVGcanStretch("Horizontal")){K[aB][aA]=ai.SVGstretchH(h[aA])}else{if(ai.SVGcanStretch("Vertical")){w=ai.CoreMO();var Z=w.symmetric;w.symmetric=false;K[aB][aA]=ai.SVGstretchV(u[aB],B[aB]);w.symmetric=Z}}az=ai.rowalign||this.data[aB].rowalign||G[aB];k=({top:u[aB]-K[aB][aA].h,bottom:K[aB][aA].d-B[aB],center:((u[aB]-B[aB])-(K[aB][aA].h-K[aB][aA].d))/2,baseline:0,axis:0})[az]||0;az=(ai.columnalign||ap[aB][aA]||ae[aA]);E[aA].Align(K[aB][aA],az,0,an+k)}if(aB<K.length-1){an-=Math.max((u[aB]+B[aB]?aI:0),B[aB]+u[aB+1]+O[aB])}}an=e}var ad=1.5*d.em;var ao=aa-ad/2;for(aA=0;aA<=t;aA++){l.Add(E[aA],ao,0);ao+=h[aA]+ah[aA];if(I[aA]!=="none"&&aA<t&&aA!==aD){l.Add(b.VLINE(aE,ad,I[aA]),ao-ah[aA]/2,ar)}}l.w+=aa;l.d=-ar;l.h=aE+ar;av=l.w;if(aG.frame!=="none"){l.Add(b.HLINE(av,ad,aG.frame),0,ar+aE-ad);l.Add(b.HLINE(av,ad,aG.frame),0,ar);l.Add(b.VLINE(aE,ad,aG.frame),0,ar);l.Add(b.VLINE(aE,ad,aG.frame),av-ad,ar)}an=e-ad/2;for(aB=0,ay=K.length-1;aB<ay;aB++){k=Math.max(aI,B[aB]+u[aB+1]+O[aB]);if(g[aB]!=="none"){l.Add(b.HLINE(av,ad,g[aB]),0,an-B[aB]-(k-B[aB]-u[aB+1])/2)}an-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(E[aD]){var L=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(L.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){L.indentalign=L.indentalignfirst}if(L.indentalign===a.INDENTALIGN.AUTO){L.indentalign=this.displayAlign}if(L.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){L.indentshift=L.indentshiftfirst}if(L.indentshift==="auto"){L.indentshift=this.displayIndent}var ag=(L.indentshift?d.length2em(L.indentshift,r):0);var aH=d.length2em(aG.minlabelspacing,r);var z=l;l=this.SVG();if(L.indentalign===a.INDENTALIGN.CENTER){l.w=l.r=d.length2em(d.cwidth+"px");ag=0;l.hasIndent=true}else{if(ae[aD]!==L.indentalign){l.w=l.r=d.length2em(d.cwidth+"px")-ag-aH;ag=aH=0}else{l.w=l.r=z.w+ag;l.hasIndent=true}}l.Align(z,L.indentalign,ag,0);l.Align(E[aD],ae[aD],aH,0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); diff --git a/jax/output/HTML-CSS/autoload/multiline.js b/jax/output/HTML-CSS/autoload/multiline.js index 2486383b8..5d03eba6a 100644 --- 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n=h.index.slice(0),l=h.index.shift(),k,o,j,m=(h.index.length>0),g=false;if(!m){h.W+=h.w;h.w=0}j=h.scanW=h.W;if(l==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(h,f)){g=true;n=[this.base].concat(h.index);k=h.W;o=h.w;if(h.penalty===e.newline){g=m=true}}if(!m){this.HTMLaddWidth(this.base,h,j)}h.scanW+=this.HTMLdw;h.W=h.scanW;h.index=n;if(g){h.W=k;h.w=o}return g},HTMLmoveLine:function(m,g,j,l,h){if(this.data[this.base]){if(m.length>1){this.data[this.base].HTMLmoveSlice(m.slice(1),g.slice(1),j,l,h,"paddingLeft")}else{if(g.length<=1){this.data[this.base].HTMLmoveSpan(j,l,h)}else{this.data[this.base].HTMLmoveSlice([],g.slice(1),j,l,h,"paddingRight")}}}if(g.length===0){var i=this.data[this.sup]||this.data[this.sub];if(i){var k=i.HTMLspanElement().parentNode,f=k.parentNode;if(this.data[this.base]){f.removeChild(f.firstChild)}for(k=f.firstChild;k;k=k.nextSibling){k.style.left=b.Em(b.unEm(k.style.left)-this.HTMLbaseW)}f.bbox.w-=this.HTMLbaseW;f.style.width=b.Em(f.bbox.w);this.HTMLcombineBBoxes(f,j.bbox);j.appendChild(f)}}}});a.mo.Augment({HTMLbetterBreak:function(h,f){var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===a.TEXCLASS.OPEN){h.nest++}if(p.texClass===a.TEXCLASS.CLOSE){h.nest--}var i=h.scanW,j=(h.embellished||this);delete h.embellished;var n=j.HTMLspanElement(),o=n.bbox.w;if(n.style.paddingLeft){o+=b.unEm(n.style.paddingLeft)}if(p.linebreakstyle===a.LINEBREAKSTYLE.AFTER){i+=o;o=0}if(i-h.shift===0){return false}var k=b.linebreakWidth-i;if(f.n===0&&(p.indentshiftfirst!==f.VALUES.indentshiftfirst||p.indentalignfirst!==f.VALUES.indentalignfirst)){var l=this.HTMLgetAlign(f,p),g=this.HTMLgetShift(f,p,l);k+=(h.shift-g)}var m=Math.floor(k/b.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}if(p.fence){m+=e.fence}if((p.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&p.texClass===a.TEXCLASS.OPEN)||p.texClass===a.TEXCLASS.CLOSE){m+=e.close}m+=h.nest*e.nestfactor;var q=e[p.linebreak||a.LINEBREAK.AUTO];if(!(q instanceof Array)){if(k>=0){m=q*h.nest}}else{m=Math.max(1,m+q[0]*h.nest)}if(m>=h.penalty){return false}h.penalty=m;h.values=p;h.W=i;h.w=o;p.lineleading=b.length2em(p.lineleading,f.VALUES.lineleading);return true}});a.mspace.Augment({HTMLbetterBreak:function(g,f){var m=this.getValues("linebreak");var h=g.scanW,k=this.HTMLspanElement(),l=k.bbox.w;if(k.style.paddingLeft){l+=b.unEm(k.style.paddingLeft)}if(h-g.shift===0){return false}var i=b.linebreakWidth-h;var j=Math.floor(i/b.linebreakWidth*1000);if(j<0){j=e.toobig-3*j}j+=g.nest*e.nestfactor;var n=e[m.linebreak||a.LINEBREAK.AUTO];if(m.linebreak===a.LINEBREAK.AUTO&&l>=e.spacelimit){n=[(l+e.spaceoffset)*e.spacefactor]}if(!(n instanceof Array)){if(i>=0){j=n*g.nest}}else{j=Math.max(1,j+n[0]*g.nest)}if(j>=g.penalty){return false}g.penalty=j;g.values=m;g.W=h;g.w=l;m.lineleading=f.VALUES.lineleading;m.linebreakstyle="before";return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)}})});a.maction.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)},HTMLmoveSlice:function(g,i,l,f,m,j){var o=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(o){o.parentNode.removeChild(o)}var k=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(i.length===0){l=this.HTMLspanElement();var h=0;while(l){o=this.HTMLhandleHitBox(l,"-Continue-"+h);l=l.nextMathJaxSpan;h++}}return k}});a.semantics.Augment({HTMLbetterBreak:function(g,f){return(this.data[0]?this.data[0].HTMLbetterBreak(g,f):false)},HTMLmoveLine:function(j,f,h,i,g){return(this.data[0]?this.data[0].HTMLmoveSlice(j,f,h,i,g):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.0.4";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mbase.Augment({HTMLlinebreakPenalty:e,HTMLmultiline:function(n){var o=this;while(o.inferred||(o.parent&&o.parent.type==="mrow"&&o.parent.data.length===1)){o=o.parent}var l=((o.type==="math"&&o.Get("display")==="block")||o.type==="mtd");o.isMultiline=true;var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}p.lineleading=b.length2em(p.lineleading,1,0.5);this.HTMLremoveColor(n);var m=b.createStack(n);var f={n:0,Y:0,scale:this.HTMLgetScale(),isTop:l,values:{},VALUES:p},k=this.HTMLgetAlign(f,{}),h=this.HTMLgetShift(f,{},k),g=[],i={index:[],penalty:e.nobreak,w:0,W:h,shift:h,scanW:h,nest:0},j=false;while(this.HTMLbetterBreak(i,f)&&(i.scanW>=b.linebreakWidth||i.penalty==e.newline)){this.HTMLaddLine(m,g,i.index,f,i.values,j);g=i.index.slice(0);j=true;k=this.HTMLgetAlign(f,i.values);h=this.HTMLgetShift(f,i.values,k);if(k===a.INDENTALIGN.CENTER){h=0}i.W=i.shift=i.scanW=h;i.penalty=e.nobreak}f.isLast=true;this.HTMLaddLine(m,g,[],f,c,j);if(l){m.style.width="100%";if(o.type==="math"){n.bbox.width="100%"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);n.bbox.isMultiline=true;return n},HTMLbetterBreak:function(h,f){if(this.isToken){return false}if(this.isEmbellished()){h.embellished=this;return this.CoreMO().HTMLbetterBreak(h,f)}if(this.linebreakContainer){return false}var p=h.index.slice(0),n=h.index.shift(),l=this.data.length,k,q,j,o=(h.index.length>0),g=false;if(n==null){n=-1}if(!o){n++;h.W+=h.w;h.w=0}j=h.scanW=h.W;h.nest++;while(n<l&&h.scanW<1.33*b.linebreakWidth){if(this.data[n]){if(this.data[n].HTMLbetterBreak(h,f)){g=true;p=[n].concat(h.index);k=h.W;q=h.w;if(h.penalty===e.newline){h.index=p;h.nest--;return true}}j=(o?h.scanW:this.HTMLaddWidth(n,h,j))}h.index=[];n++;o=false}h.nest--;h.index=p;if(g){h.W=k;h.w=q}return g},HTMLaddWidth:function(f,j,h){var g=this.data[f].HTMLspanElement();h+=g.bbox.w;if(g.style.paddingLeft){h+=b.unEm(g.style.paddingLeft)}if(g.style.paddingRight){h+=b.unEm(g.style.paddingRight)}j.W=j.scanW=h;j.w=0;return h},HTMLaddLine:function(n,g,j,f,o,l){line=b.createBox(n);line.bbox=this.HTMLemptyBBox({});f.first=l;f.last=true;this.HTMLmoveLine(g,j,line,f,o);this.HTMLcleanBBox(line.bbox);var m=this.HTMLgetAlign(f,o),h=this.HTMLgetShift(f,o,m);if(h){b.createBlank(line,h,(m!==a.INDENTALIGN.RIGHT));line.bbox.w+=h;line.bbox.rw+=h}if(f.n>0){var k=b.FONTDATA.baselineskip*f.scale;var i=(f.values.lineleading==null?f.VALUES:f.values).lineleading;f.Y-=Math.max(k,f.d+line.bbox.h+i)}b.alignBox(line,m,f.Y);f.d=line.bbox.d;f.values=o;f.n++},HTMLgetAlign:function(i,f){var j=f,g=i.values,h=i.VALUES,k;if(i.n===0){k=j.indentalignfirst||g.indentalignfirst||h.indentalignfirst}else{if(i.isLast){k=g.indentalignlast||h.indentalignlast}else{k=g.indentalign||h.indentalign}}if(k===a.INDENTALIGN.INDENTALIGN){k=g.indentalign||h.indentalign}if(k===a.INDENTALIGN.AUTO){k=(i.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return k},HTMLgetShift:function(j,g,l){if(l===a.INDENTALIGN.CENTER){return 0}var k=g,h=j.values,i=j.VALUES,f;if(j.n===0){f=k.indentshiftfirst||h.indentshiftfirst||i.indentshiftfirst}else{if(j.isLast){f=h.indentshiftlast||i.indentshiftlast}else{f=h.indentshift||i.indentshift}}if(f===a.INDENTSHIFT.INDENTSHIFT){f=h.indentshift||i.indentshift}if(f==="auto"||f===""){f=(j.isTSop?this.displayIndent:"0")}return b.length2em(f,0)},HTMLmoveLine:function(o,f,l,n,g){var k=o[0],h=f[0];if(k==null){k=-1}if(h==null){h=this.data.length-1}if(k===h&&o.length>1){this.data[k].HTMLmoveSlice(o.slice(1),f.slice(1),l,n,g,"paddingLeft")}else{var m=n.last;n.last=false;while(k<h){if(this.data[k]){if(o.length<=1){this.data[k].HTMLmoveSpan(l,n,g)}else{this.data[k].HTMLmoveSlice(o.slice(1),[],l,n,g,"paddingLeft")}}k++;n.first=false;o=[]}n.last=m;if(this.data[k]){if(f.length<=1){this.data[k].HTMLmoveSpan(l,n,g)}else{this.data[k].HTMLmoveSlice([],f.slice(1),l,n,g,"paddingRight")}}}},HTMLmoveSlice:function(g,j,m,f,o,k){this.HTMLremoveColor();var l=this.HTMLcreateSliceSpan(m);this.HTMLmoveLine(g,j,l,f,o);l.style[k]="";this.HTMLcombineBBoxes(l,m.bbox);this.HTMLcleanBBox(l.bbox);if(j.length===0){m=this.HTMLspanElement();m.parentNode.removeChild(m);m.nextMathJaxSpan.id=m.id;var h=0;while(m=m.nextMathJaxSpan){var i=this.HTMLhandleColor(m);if(i){i.id+="-MathJax-Continue-"+h;h++}}}return l},HTMLcreateSliceSpan:function(g){var j=this.HTMLspanElement(),i=0;var f=j;while(f.nextMathJaxSpan){f=f.nextMathJaxSpan;i++}var h=j.cloneNode(false);f.nextMathJaxSpan=h;h.nextMathJaxSpan=null;h.id+="-MathJax-Continue-"+i;h.bbox=this.HTMLemptyBBox({});return g.appendChild(h)},HTMLmoveSpan:function(f,j,h){if(!(j.first||j.last)||(j.first&&j.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(j.last&&h.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var g=document.getElementById("MathJax-Color-"+this.spanID+b.idPostfix);if(g){f.appendChild(g)}var i=this.HTMLspanElement();f.appendChild(i);if(j.last){i.style.paddingRight=""}if(j.first||j.nextIsFirst){delete j.nextIsFirst;i.style.paddingLeft="";if(g){this.HTMLremoveColor(i);this.HTMLhandleColor(i)}}this.HTMLcombineBBoxes(this,f.bbox)}else{if(j.first){j.nextIsFirst=true}else{delete j.nextIsFirst}}}});a.mfenced.Augment({HTMLbetterBreak:function(h,f){var t=h.index.slice(0),r=h.index.shift(),o=this.data.length,n,u,l,s=(h.index.length>0),g=false;if(r==null){r=-1}if(!s){r++;h.W+=h.w;h.w=0}l=h.scanW=h.W;h.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(o){this.dataI.push(0)}for(var q=1;q<o;q++){if(this.data["sep"+q]){this.dataI.push("sep"+q)}this.dataI.push(q)}if(this.data.close){this.dataI.push("close")}}o=this.dataI.length;while(r<o&&h.scanW<1.33*b.linebreakWidth){var p=this.dataI[r];if(this.data[p]){if(this.data[p].HTMLbetterBreak(h,f)){g=true;t=[r].concat(h.index);n=h.W;u=h.w;if(h.penalty===e.newline){h.index=t;h.nest--;return true}}l=(s?h.scanW:this.HTMLaddWidth(r,h,l))}h.index=[];r++;s=false}h.nest--;h.index=t;if(g){h.W=n;h.w=u}return g},HTMLmoveLine:function(g,l,o,f,q){var n=g[0],m=l[0];if(n==null){n=-1}if(m==null){m=this.dataI.length-1}if(n===m&&g.length>1){this.data[this.dataI[n]].HTMLmoveSlice(g.slice(1),l.slice(1),o,f,q,"paddingLeft")}else{var p=f.last;f.last=false;var h=this.dataI[n];while(n<m){if(this.data[h]){if(g.length<=1){this.data[h].HTMLmoveSpan(o,f,q)}else{this.data[h].HTMLmoveSlice(g.slice(1),[],o,f,q,"paddingLeft")}}n++;h=this.dataI[n];f.first=false;g=[]}f.last=p;if(this.data[h]){if(l.length<=1){this.data[h].HTMLmoveSpan(o,f,q)}else{this.data[h].HTMLmoveSlice([],l.slice(1),o,f,q,"paddingRight")}}}}});a.msubsup.Augment({HTMLbetterBreak:function(h,f){if(!this.data[this.base]){return false}var n=h.index.slice(0),l=h.index.shift(),k,o,j,m=(h.index.length>0),g=false;if(!m){h.W+=h.w;h.w=0}j=h.scanW=h.W;if(l==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(h,f)){g=true;n=[this.base].concat(h.index);k=h.W;o=h.w;if(h.penalty===e.newline){g=m=true}}if(!m){this.HTMLaddWidth(this.base,h,j)}h.scanW+=this.HTMLdw;h.W=h.scanW;h.index=[];if(g){h.W=k;h.w=o;h.index=n}return g},HTMLmoveLine:function(m,g,j,l,h){if(this.data[this.base]){if(m.length>1){this.data[this.base].HTMLmoveSlice(m.slice(1),g.slice(1),j,l,h,"paddingLeft")}else{if(g.length<=1){this.data[this.base].HTMLmoveSpan(j,l,h)}else{this.data[this.base].HTMLmoveSlice([],g.slice(1),j,l,h,"paddingRight")}}}if(g.length===0){var i=this.data[this.sup]||this.data[this.sub];if(i){var k=i.HTMLspanElement().parentNode,f=k.parentNode;if(this.data[this.base]){f.removeChild(f.firstChild)}for(k=f.firstChild;k;k=k.nextSibling){k.style.left=b.Em(b.unEm(k.style.left)-this.HTMLbaseW)}f.bbox.w-=this.HTMLbaseW;f.style.width=b.Em(f.bbox.w);this.HTMLcombineBBoxes(f,j.bbox);j.appendChild(f)}}}});a.mo.Augment({HTMLbetterBreak:function(h,f){if(h.values&&h.values.id===this.spanID){return false}var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===a.TEXCLASS.OPEN){h.nest++}if(p.texClass===a.TEXCLASS.CLOSE){h.nest--}var i=h.scanW,j=(h.embellished||this);delete h.embellished;var n=j.HTMLspanElement(),o=n.bbox.w;if(n.style.paddingLeft){o+=b.unEm(n.style.paddingLeft)}if(p.linebreakstyle===a.LINEBREAKSTYLE.AFTER){i+=o;o=0}if(i-h.shift===0){return false}var k=b.linebreakWidth-i;if(f.n===0&&(p.indentshiftfirst!==f.VALUES.indentshiftfirst||p.indentalignfirst!==f.VALUES.indentalignfirst)){var l=this.HTMLgetAlign(f,p),g=this.HTMLgetShift(f,p,l);k+=(h.shift-g)}var m=Math.floor(k/b.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}if(p.fence){m+=e.fence}if((p.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&p.texClass===a.TEXCLASS.OPEN)||p.texClass===a.TEXCLASS.CLOSE){m+=e.close}m+=h.nest*e.nestfactor;var q=e[p.linebreak||a.LINEBREAK.AUTO];if(!(q instanceof Array)){if(k>=0){m=q*h.nest}}else{m=Math.max(1,m+q[0]*h.nest)}if(m>=h.penalty){return false}h.penalty=m;h.values=p;h.W=i;h.w=o;p.lineleading=b.length2em(p.lineleading,f.VALUES.lineleading);p.id=this.spanID;return true}});a.mspace.Augment({HTMLbetterBreak:function(g,f){if(g.values&&g.values.id===this.spanID){return false}var m=this.getValues("linebreak");var h=g.scanW,k=this.HTMLspanElement(),l=k.bbox.w;if(k.style.paddingLeft){l+=b.unEm(k.style.paddingLeft)}if(h-g.shift===0){return false}var i=b.linebreakWidth-h;var j=Math.floor(i/b.linebreakWidth*1000);if(j<0){j=e.toobig-3*j}j+=g.nest*e.nestfactor;var n=e[m.linebreak||a.LINEBREAK.AUTO];if(m.linebreak===a.LINEBREAK.AUTO&&l>=e.spacelimit){n=[(l+e.spaceoffset)*e.spacefactor]}if(!(n instanceof Array)){if(i>=0){j=n*g.nest}}else{j=Math.max(1,j+n[0]*g.nest)}if(j>=g.penalty){return false}g.penalty=j;g.values=m;g.W=h;g.w=l;m.lineleading=f.VALUES.lineleading;m.linebreakstyle="before";m.id=this.spanID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)}})});a.maction.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)},HTMLmoveSlice:function(g,i,l,f,m,j){var o=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(o){o.parentNode.removeChild(o)}var k=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(i.length===0){l=this.HTMLspanElement();var h=0;while(l){o=this.HTMLhandleHitBox(l,"-Continue-"+h);l=l.nextMathJaxSpan;h++}}return k}});a.semantics.Augment({HTMLbetterBreak:function(g,f){return(this.data[0]?this.data[0].HTMLbetterBreak(g,f):false)},HTMLmoveLine:function(j,f,h,i,g){return(this.data[0]?this.data[0].HTMLmoveSlice(j,f,h,i,g):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")}); diff --git a/jax/output/SVG/autoload/multiline.js b/jax/output/SVG/autoload/multiline.js index 10dfd1cd3..38d85f24f 100644 --- a/jax/output/SVG/autoload/multiline.js +++ b/jax/output/SVG/autoload/multiline.js @@ -12,5 +12,5 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.0.3";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX;var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(k){var o=this;while(o.inferred||(o.parent&&o.parent.type==="mrow"&&o.parent.data.length===1)){o=o.parent}var n=((o.type==="math"&&o.Get("display")==="block")||o.type==="mtd");o.isMultiline=true;var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}p.lineleading=f.length2em(p.lineleading,1,0.5);k=this.SVG();if(f.linebreakWidth<f.BIGDIMEN){k.w=f.linebreakWidth}else{k.w=f.cwidth/f.em*1000}var g={n:0,Y:0,scale:this.SVGgetScale(),isTop:n,values:{},VALUES:p},m=this.SVGgetAlign(g,{}),i=this.SVGgetShift(g,{},m),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},l=false;while(this.SVGbetterBreak(j,g)&&(j.scanW>=f.linebreakWidth||j.penalty==e.newline)){this.SVGaddLine(k,h,j.index,g,j.values,l);h=j.index.slice(0);l=true;m=this.SVGgetAlign(g,j.values);i=this.SVGgetShift(g,j.values,m);if(m===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.SVGaddLine(k,h,[],g,c,l);this.SVGhandleSpace(k);this.SVGhandleColor(k);k.isMultiline=true;this.SVGsaveData(k);return k}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(j,g){if(this.isToken){return false}if(this.isEmbellished()){j.embellished=this;return this.CoreMO().SVGbetterBreak(j,g)}if(this.linebreakContainer){return false}var q=j.index.slice(0),o=j.index.shift(),n=this.data.length,l,r,k,p=(j.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;j.W+=j.w;j.w=0}k=j.scanW=j.W;j.nest++;while(o<n&&j.scanW<1.33*f.linebreakWidth){if(this.data[o]){if(this.data[o].SVGbetterBreak(j,g)){h=true;q=[o].concat(j.index);l=j.W;r=j.w;if(j.penalty===e.newline){j.index=q;j.nest--;return true}}k=(p?j.scanW:this.SVGaddWidth(o,j,k))}j.index=[];o++;p=false}j.nest--;j.index=q;if(h){j.W=l}return h},SVGaddWidth:function(h,k,j){var g=this.data[h].SVGdata;j+=g.w+g.x;if(g.X){j+=g.X}k.W=k.scanW=j;k.w=0;return j},SVGaddLine:function(l,h,k,g,p,n){line=b();g.first=n;g.last=true;this.SVGmoveLine(h,k,line,g,p);line.Clean();var o=this.SVGgetAlign(g,p),i=this.SVGgetShift(g,p,o);if(i){if(o===a.INDENTALIGN.LEFT){line.x=i}else{if(o===a.INDENTALIGN.RIGHT){line.w+=i;line.r=line.w}}}if(g.n>0){var m=f.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading;g.Y-=Math.max(m,g.d+line.h+j)}l.Align(line,o,0,g.Y);g.d=line.d;g.values=p;g.n++},SVGgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},SVGgetShift:function(k,h,m){if(m===a.INDENTALIGN.CENTER){return 0}var l=h,i=k.values,j=k.VALUES,g;if(k.n===0){g=l.indentshiftfirst||i.indentshiftfirst||j.indentshiftfirst}else{if(k.isLast){g=i.indentshiftlast||j.indentshiftlast}else{g=i.indentshift||j.indentshift}}if(g===a.INDENTSHIFT.INDENTSHIFT){g=i.indentshift||j.indentshift}if(g==="auto"||g===""){g=(k.isTSop?this.displayIndent:"0")}return f.length2em(g,0)},SVGmoveLine:function(p,g,k,o,h){var m=p[0],l=g[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&p.length>1){this.data[m].SVGmoveSlice(p.slice(1),g.slice(1),k,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(m<l){if(this.data[m]){if(p.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice(p.slice(1),[],k,o,h,"paddingLeft")}}m++;o.first=false;p=[]}o.last=n;if(this.data[m]){if(g.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice([],g.slice(1),k,o,h,"paddingRight")}}}},SVGmoveSlice:function(m,g,i,j,h,k){var l=b();this.SVGmoveLine(m,g,l,j,h);l.Clean();this.SVGhandleColor(l);i.Add(l,i.w,0,true);return l},SVGmove:function(g,j,i){if(!(j.first||j.last)||(j.first&&j.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(j.last&&i.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var h=this.toSVG(this.SVGdata.HW,this.SVGdata.D);if(j.last){h.x=0}if(j.first||j.nextIsFirst){delete j.nextIsFirst;if(h.X){h.X=0}}g.Add(h,g.w,0,true)}else{if(j.first){j.nextIsFirst=true}else{delete j.nextIsFirst}}}});a.mfenced.Augment({SVGbetterBreak:function(l,g){var u=l.index.slice(0),s=l.index.shift(),p=this.data.length,o,v,n,t=(l.index.length>0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r<p;r++){if(this.data["sep"+r]){this.dataI.push("sep"+r)}this.dataI.push(r)}if(this.data.close){this.dataI.push("close")}}p=this.dataI.length;while(s<p&&l.scanW<1.33*f.linebreakWidth){var q=this.dataI[s];if(this.data[q]){if(this.data[q].SVGbetterBreak(l,g)){h=true;u=[s].concat(l.index);o=l.W;v=l.w;if(l.penalty===e.newline){l.index=u;l.nest--;return true}}n=(t?l.scanW:this.SVGaddWidth(s,l,n))}l.index=[];s++;t=false}l.nest--;l.index=u;if(h){l.W=o;l.w=v}return h},SVGmoveLine:function(h,m,p,g,r){var o=h[0],n=m[0];if(o==null){o=-1}if(n==null){n=this.dataI.length-1}if(o===n&&h.length>1){this.data[this.dataI[o]].SVGmoveSlice(h.slice(1),m.slice(1),p,g,r,"paddingLeft")}else{var q=g.last;g.last=false;var l=this.dataI[o];while(o<n){if(this.data[l]){if(h.length<=1){this.data[l].SVGmove(p,g,r)}else{this.data[l].SVGmoveSlice(h.slice(1),[],p,g,r,"paddingLeft")}}o++;l=this.dataI[o];g.first=false;h=[]}g.last=q;if(this.data[l]){if(m.length<=1){this.data[l].SVGmove(p,g,r)}else{this.data[l].SVGmoveSlice([],m.slice(1),p,g,r,"paddingRight")}}}}});a.msubsup.Augment({SVGbetterBreak:function(j,g){if(!this.data[this.base]){return false}var o=j.index.slice(0),m=j.index.shift(),l,p,k,n=(j.index.length>0),h=false;if(!n){j.W+=j.w;j.w=0}k=j.scanW=j.W;if(m==null){this.SVGdata.dw=this.SVGdata.w-this.data[this.base].SVGdata.w}if(this.data[this.base].SVGbetterBreak(j,g)){h=true;o=[this.base].concat(j.index);l=j.W;p=j.w;if(j.penalty===e.newline){h=n=true}}if(!n){this.SVGaddWidth(this.base,j,k)}j.scanW+=this.SVGdata.dw;j.W=j.scanW;j.index=o;if(h){j.W=l;j.w=p}return h},SVGmoveLine:function(n,h,k,m,j){if(this.data[this.base]){if(n.length>1){this.data[this.base].SVGmoveSlice(n.slice(1),h.slice(1),k,m,j,"paddingLeft")}else{if(h.length<=1){this.data[this.base].SVGmove(k,m,j)}else{this.data[this.base].SVGmoveSlice([],h.slice(1),k,m,j,"paddingRight")}}}if(h.length===0){var i=this.data[this.sup],l=this.data[this.sub],g=k.w;if(i){k.Add(i.toSVG(),g+(i.SVGdata.dx||0),i.SVGdata.dy)}if(l){k.Add(l.toSVG(),g+(l.SVGdata.dx||0),l.SVGdata.dy)}}}});a.mo.Augment({SVGbetterBreak:function(i,g){var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}if(q.texClass===a.TEXCLASS.OPEN){i.nest++}if(q.texClass===a.TEXCLASS.CLOSE){i.nest--}var j=i.scanW,k=(i.embellished||this);delete i.embellished;var m=k.SVGdata,p=m.w+m.x;if(q.linebreakstyle===a.LINEBREAKSTYLE.AFTER){j+=p;p=0}if(j-i.shift===0){return false}var l=f.linebreakWidth-j;if(g.n===0&&(q.indentshiftfirst!==g.VALUES.indentshiftfirst||q.indentalignfirst!==g.VALUES.indentalignfirst)){var n=this.SVGgetAlign(g,q),h=this.SVGgetShift(g,q,n);l+=(i.shift-h)}var o=Math.floor(l/f.linebreakWidth*1000);if(o<0){o=e.toobig-3*o}if(q.fence){o+=e.fence}if((q.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&q.texClass===a.TEXCLASS.OPEN)||q.texClass===a.TEXCLASS.CLOSE){o+=e.close}o+=i.nest*e.nestfactor;var r=e[q.linebreak||a.LINEBREAK.AUTO];if(!(r instanceof Array)){if(l>=0){o=r*i.nest}}else{o=Math.max(1,o+r[0]*i.nest)}if(o>=i.penalty){return false}i.penalty=o;i.values=q;i.W=j;i.w=p;q.lineleading=f.length2em(q.lineleading,g.VALUES.lineleading);return true}});a.mspace.Augment({SVGbetterBreak:function(h,g){var n=this.getValues("linebreak");var i=h.scanW,k=this.SVGdata,m=k.w+k.x;if(i-h.shift===0){return false}var j=f.linebreakWidth-i;var l=Math.floor(j/f.linebreakWidth*1000);if(l<0){l=e.toobig-3*l}l+=h.nest*e.nestfactor;var o=e[n.linebreak||a.LINEBREAK.AUTO];if(n.linebreak===a.LINEBREAK.AUTO&&m>=e.spacelimit*1000){o=[(m+e.spaceoffset)*e.spacefactor]}if(!(o instanceof Array)){if(j>=0){l=o*h.nest}}else{l=Math.max(1,l+o[0]*h.nest)}if(l>=h.penalty){return false}h.penalty=l;h.values=n;h.W=i;h.w=m;n.lineleading=g.VALUES.lineleading;n.linebreakstyle="before";return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({SVGbetterBreak:function(h,g){return this.Core().SVGbetterBreak(h,g)},SVGmoveLine:function(k,g,i,j,h){return this.Core().SVGmoveSlice(k,g,i,j,h)}})});a.maction.Augment({SVGbetterBreak:function(h,g){return this.Core().SVGbetterBreak(h,g)},SVGmoveLine:function(k,g,i,j,h){return this.Core().SVGmoveSlice(k,g,i,j,h)},});a.semantics.Augment({SVGbetterBreak:function(h,g){return(this.data[0]?this.data[0].SVGbetterBreak(h,g):false)},SVGmoveLine:function(k,g,i,j,h){return(this.data[0]?this.data[0].SVGmoveSlice(k,g,i,j,h):null)}});MathJax.Hub.Startup.signal.Post("SVG multiline Ready");MathJax.Ajax.loadComplete(f.autoloadDir+"/multiline.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.0.3";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX;var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(k){var o=this;while(o.inferred||(o.parent&&o.parent.type==="mrow"&&o.parent.data.length===1)){o=o.parent}var n=((o.type==="math"&&o.Get("display")==="block")||o.type==="mtd");o.isMultiline=true;var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}p.lineleading=f.length2em(p.lineleading,1,0.5);k=this.SVG();if(f.linebreakWidth<f.BIGDIMEN){k.w=f.linebreakWidth}else{k.w=f.cwidth/f.em*1000}var g={n:0,Y:0,scale:this.SVGgetScale(),isTop:n,values:{},VALUES:p},m=this.SVGgetAlign(g,{}),i=this.SVGgetShift(g,{},m),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},l=false;while(this.SVGbetterBreak(j,g)&&(j.scanW>=f.linebreakWidth||j.penalty==e.newline)){this.SVGaddLine(k,h,j.index,g,j.values,l);h=j.index.slice(0);l=true;m=this.SVGgetAlign(g,j.values);i=this.SVGgetShift(g,j.values,m);if(m===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.SVGaddLine(k,h,[],g,c,l);this.SVGhandleSpace(k);this.SVGhandleColor(k);k.isMultiline=true;this.SVGsaveData(k);return k}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(j,g){if(this.isToken){return false}if(this.isEmbellished()){j.embellished=this;return this.CoreMO().SVGbetterBreak(j,g)}if(this.linebreakContainer){return false}var q=j.index.slice(0),o=j.index.shift(),n=this.data.length,l,r,k,p=(j.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;j.W+=j.w;j.w=0}k=j.scanW=j.W;j.nest++;while(o<n&&j.scanW<1.33*f.linebreakWidth){if(this.data[o]){if(this.data[o].SVGbetterBreak(j,g)){h=true;q=[o].concat(j.index);l=j.W;r=j.w;if(j.penalty===e.newline){j.index=q;j.nest--;return true}}k=(p?j.scanW:this.SVGaddWidth(o,j,k))}j.index=[];o++;p=false}j.nest--;j.index=q;if(h){j.W=l}return h},SVGaddWidth:function(h,k,j){var g=this.data[h].SVGdata;j+=g.w+g.x;if(g.X){j+=g.X}k.W=k.scanW=j;k.w=0;return j},SVGaddLine:function(l,h,k,g,p,n){line=b();g.first=n;g.last=true;this.SVGmoveLine(h,k,line,g,p);line.Clean();var o=this.SVGgetAlign(g,p),i=this.SVGgetShift(g,p,o);if(i){if(o===a.INDENTALIGN.LEFT){line.x=i}else{if(o===a.INDENTALIGN.RIGHT){line.w+=i;line.r=line.w}}}if(g.n>0){var m=f.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading;g.Y-=Math.max(m,g.d+line.h+j)}l.Align(line,o,0,g.Y);g.d=line.d-(line.y||0);g.values=p;g.n++},SVGgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},SVGgetShift:function(k,h,m){if(m===a.INDENTALIGN.CENTER){return 0}var l=h,i=k.values,j=k.VALUES,g;if(k.n===0){g=l.indentshiftfirst||i.indentshiftfirst||j.indentshiftfirst}else{if(k.isLast){g=i.indentshiftlast||j.indentshiftlast}else{g=i.indentshift||j.indentshift}}if(g===a.INDENTSHIFT.INDENTSHIFT){g=i.indentshift||j.indentshift}if(g==="auto"||g===""){g=(k.isTSop?this.displayIndent:"0")}return f.length2em(g,0)},SVGmoveLine:function(p,g,k,o,h){var m=p[0],l=g[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&p.length>1){this.data[m].SVGmoveSlice(p.slice(1),g.slice(1),k,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(m<l){if(this.data[m]){if(p.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice(p.slice(1),[],k,o,h,"paddingLeft")}}m++;o.first=false;p=[]}o.last=n;if(this.data[m]){if(g.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice([],g.slice(1),k,o,h,"paddingRight")}}}},SVGmoveSlice:function(m,g,i,j,h,k){var l=b();this.SVGmoveLine(m,g,l,j,h);l.Clean();this.SVGhandleColor(l);i.Add(l,i.w,0,true);return l},SVGmove:function(g,j,i){if(!(j.first||j.last)||(j.first&&j.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(j.last&&i.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var h=this.toSVG(this.SVGdata.HW,this.SVGdata.D);if(j.last){h.x=0}if(j.first||j.nextIsFirst){delete j.nextIsFirst;if(h.X){h.X=0}}g.Add(h,g.w,0,true)}else{if(j.first){j.nextIsFirst=true}else{delete j.nextIsFirst}}}});a.mfenced.Augment({SVGbetterBreak:function(l,g){var u=l.index.slice(0),s=l.index.shift(),p=this.data.length,o,v,n,t=(l.index.length>0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r<p;r++){if(this.data["sep"+r]){this.dataI.push("sep"+r)}this.dataI.push(r)}if(this.data.close){this.dataI.push("close")}}p=this.dataI.length;while(s<p&&l.scanW<1.33*f.linebreakWidth){var q=this.dataI[s];if(this.data[q]){if(this.data[q].SVGbetterBreak(l,g)){h=true;u=[s].concat(l.index);o=l.W;v=l.w;if(l.penalty===e.newline){l.index=u;l.nest--;return true}}n=(t?l.scanW:this.SVGaddWidth(s,l,n))}l.index=[];s++;t=false}l.nest--;l.index=u;if(h){l.W=o;l.w=v}return h},SVGmoveLine:function(h,m,p,g,r){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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l=this.svg[o],n=l.mml;if(n){l=n.SVGstretchV(this.sh,this.sd);n.SVGdata.HW=this.sh;n.SVGdata.D=this.sd}if(l.ic){this.ic=l.ic}else{delete this.ic}this.Add(l,this.w,0,true)}delete this.svg}});i.RECT=i.Subclass({type:"rect",removeable:false,Init:function(l,n,k,m){if(m==null){m={stroke:"none"}}m.width=Math.floor(k);m.height=Math.floor(l+n);this.SUPER(arguments).Init.call(this,m);this.w=this.r=k;this.h=this.H=l+n;this.d=this.D=this.l=0;this.y=-n}});i.FRAME=i.Subclass({type:"rect",removeable:false,Init:function(n,q,k,m,p,l,o){if(o==null){o={}}o.fill="none";o["stroke-width"]=m.toFixed(2).replace(/\.?0+$/,"");o.width=Math.floor(k-m);o.height=Math.floor(n+q-m);o.transform="translate("+Math.floor(m/2)+","+Math.floor(-q+m/2)+")";if(p==="dashed"){o["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" 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k=e.Element("span");k.style.cssText=this.style;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var 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o){if(o.hasOwnProperty(k)){l[k]=o[k]}}l.x=0;l.y=0;o.element=a.Element("g");o.removeable=true;o.Add(l,t+q,0)}if(u){o.w+=u.right;o.h+=u.top;o.d+=u.bottom}if(s){o.w+=s.right;o.h+=s.top;o.d+=s.bottom}if(w.background!==g.COLOR.TRANSPARENT){if(o.element.nodeName!=="g"&&o.element.nodeName!=="svg"){var p=a.Element("g");p.appendChild(o.element);o.element=p;o.removeable=true}o.Add(i.RECT(o.h,o.d,o.w,{fill:w.background,stroke:"none"}),0,0,false,true)}if(s){var v=5;var m={left:["V",o.h+o.d,-v,-o.d],right:["V",o.h+o.d,o.w-s.right+v,-o.d],top:["H",o.w,0,o.h-s.top+v],bottom:["H",o.w,0,-o.d-v]};for(k in m){if(m.hasOwnProperty(k)){if(s[k]){var r=m[k],n=i[r[0]+"LINE"];o.Add(n(r[1],s[k],s[k+"Style"],s[k+"Color"]),r[2],r[3])}}}}},SVGhandleVariant:function(k,m,l){return a.HandleVariant(k,m,l)},SVGgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var l=k.mathvariant;if(this.variantForm){l="-TeX-variant"}k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.styles){if(!k.style&&this.styles.fontStyle){k.style=this.styles.fontStyle}if(!k.weight&&this.styles.fontWeight){k.weight=this.styles.fontWeight}if(!k.family&&this.styles.fontFamily){k.family=this.styles.fontFamily}}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}l={forceFamily:true,font:{"font-family":k.family}};if(k.style){l.font["font-style"]=k.style}if(k.weight){l.font["font-weight"]=k.weight}return 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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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l=this.svg[o],n=l.mml;if(n){l=n.SVGstretchV(this.sh,this.sd);n.SVGdata.HW=this.sh;n.SVGdata.D=this.sd}if(l.ic){this.ic=l.ic}else{delete this.ic}this.Add(l,this.w,0,true)}delete this.svg}});i.RECT=i.Subclass({type:"rect",removeable:false,Init:function(l,n,k,m){if(m==null){m={stroke:"none"}}m.width=Math.floor(k);m.height=Math.floor(l+n);this.SUPER(arguments).Init.call(this,m);this.w=this.r=k;this.h=this.H=l+n;this.d=this.D=this.l=0;this.y=-n}});i.FRAME=i.Subclass({type:"rect",removeable:false,Init:function(n,q,k,m,p,l,o){if(o==null){o={}}o.fill="none";o["stroke-width"]=m.toFixed(2).replace(/\.?0+$/,"");o.width=Math.floor(k-m);o.height=Math.floor(n+q-m);o.transform="translate("+Math.floor(m/2)+","+Math.floor(-q+m/2)+")";if(p==="dashed"){o["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" 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k=e.Element("span");k.style.cssText=this.style;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var 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o){if(o.hasOwnProperty(k)){l[k]=o[k]}}l.x=0;l.y=0;o.element=a.Element("g");o.removeable=true;o.Add(l,t+q,0)}if(u){o.w+=u.right;o.h+=u.top;o.d+=u.bottom}if(s){o.w+=s.right;o.h+=s.top;o.d+=s.bottom}if(w.background!==g.COLOR.TRANSPARENT){if(o.element.nodeName!=="g"&&o.element.nodeName!=="svg"){var p=a.Element("g");p.appendChild(o.element);o.element=p;o.removeable=true}o.Add(i.RECT(o.h,o.d,o.w,{fill:w.background,stroke:"none"}),0,0,false,true)}if(s){var v=5;var m={left:["V",o.h+o.d,-v,-o.d],right:["V",o.h+o.d,o.w-s.right+v,-o.d],top:["H",o.w,0,o.h-s.top+v],bottom:["H",o.w,0,-o.d-v]};for(k in m){if(m.hasOwnProperty(k)){if(s[k]){var r=m[k],n=i[r[0]+"LINE"];o.Add(n(r[1],s[k],s[k+"Style"],s[k+"Color"]),r[2],r[3])}}}}},SVGhandleVariant:function(k,m,l){return a.HandleVariant(k,m,l)},SVGgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var l=k.mathvariant;if(this.variantForm){l="-TeX-variant"}k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.styles){if(!k.style&&this.styles.fontStyle){k.style=this.styles.fontStyle}if(!k.weight&&this.styles.fontWeight){k.weight=this.styles.fontWeight}if(!k.family&&this.styles.fontFamily){k.family=this.styles.fontFamily}}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}l={forceFamily:true,font:{"font-family":k.family}};if(k.style){l.font["font-style"]=k.style}if(k.weight){l.font["font-weight"]=k.weight}return 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