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  1. /*
    2. 

  2.  *  /MathJax/jax/output/SVG/jax.js
    3. 

  3.  *  
    4. 

  4.  *  Copyright (c) 2009-2013 The MathJax Consortium
    5. 

  5.  *
    6. 

  6.  *  Part of the MathJax library.
    7. 

  7.  *  See http://www.mathjax.org for details.
    8. 

  8.  * 
    9. 

  9.  *  Licensed under the Apache License, Version 2.0;
    10. 

  10.  *  you may not use this file except in compliance with the License.
    11. 

  11.  *
    12. 

  12.  *      http://www.apache.org/licenses/LICENSE-2.0
    13. 

  13.  */(function(x,r,v,k){var h;k.Augment({config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block",width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:!0,Config:function(){var a=r.config.menuSettings;a.scale&&(this.config.scale=a.scale);this.SUPER(arguments).Config.apply(this,arguments);this.fontInUse=this.config.font;this.fontDir+="/"+this.config.font;this.require||(this.require=[]);this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){EVENT=MathJax.Extension.MathEvents.Event;TOUCH=MathJax.Extension.MathEvents.Touch;HOVER=MathJax.Extension.MathEvents.Hover;this.ContextMenu=EVENT.ContextMenu;this.Mousedown=EVENT.AltContextMenu;this.Mouseover=HOVER.Mouseover;this.Mouseout=HOVER.Mouseout;this.Mousemove=HOVER.Mousemove;this.hiddenDiv=v.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});document.body.firstChild?document.body.insertBefore(this.hiddenDiv,document.body.firstChild):document.body.appendChild(this.hiddenDiv);this.hiddenDiv=v.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var a=v.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=a.offsetWidth/5;this.hiddenDiv.removeChild(a);this.textSVG=this.Element("svg");z=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});y={};this.ExSpan=v.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_SVG_ExBox"}]]);this.linebreakSpan=v.Element("span",null,[["hr",{style:{width:"auto",size:1,padding:0,border:0,margin:0}}]]);return x.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(a){var b=a.jax[this.id],c,d=b.length,e,f,g,l,m,h,n=!1,q=this.config.linebreaks.automatic,w=this.config.linebreaks.width;q?((n=null!=w.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/))?w=w.replace(/\s*container\s*/,""):h=this.defaultWidth,""===w&&(w="100%")):h=1E5;for(c=0;c<d;c++)if(e=b[c],e.parentNode&&((f=e.previousSibling)&&String(f.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Processing)?$/)&&f.parentNode.removeChild(f),f=e.MathJax.elementJax))f.SVG={display:"block"===f.root.Get("display")},g=l=v.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:f.inputID+"-Frame",isMathJax:!0,jaxID:this.id,oncontextmenu:EVENT.Menu,onmousedown:EVENT.Mousedown,onmouseover:EVENT.Mouseover,onmouseout:EVENT.Mouseout,onmousemove:EVENT.Mousemove,onclick:EVENT.Click,ondblclick:EVENT.DblClick}),r.Browser.noContextMenu&&(g.ontouchstart=TOUCH.start,g.ontouchend=TOUCH.end),f.SVG.display&&(l=v.Element("div",{className:"MathJax_SVG_Display"}),l.appendChild(g)),l.setAttribute("role","textbox"),l.setAttribute("aria-readonly","true"),l.className+=" MathJax_SVG_Processing",e.parentNode.insertBefore(l,e),e.parentNode.insertBefore(this.ExSpan.cloneNode(!0),e),l.parentNode.insertBefore(this.linebreakSpan.cloneNode(!0),l);for(c=0;c<d;c++)if(e=b[c],e.parentNode&&(m=e.previousSibling,l=m.previousSibling,f=e.MathJax.elementJax)){e=m.firstChild.offsetHeight/60;g=l.previousSibling.firstChild.offsetWidth;n&&(h=g);if(0===e||"NaN"===e)this.hiddenDiv.appendChild(l),f.SVG.isHidden=!0,e=this.defaultEx,g=this.defaultWidth,n&&(h=this.defaultWidth);f.SVG.ex=e;f.SVG.cwidth=g;f.SVG.em=l=e/k.TeX.x_height*1E3;f.SVG.lineWidth=q?this.length2em(w,1,h/l):1E6}for(c=0;c<d;c++)if(e=b[c],e.parentNode&&(m=b[c].previousSibling,g=m.previousSibling,f=b[c].MathJax.elementJax))f.SVG.isHidden||(g=g.previousSibling),g.parentNode.removeChild(g),m.parentNode.removeChild(m);a.SVGeqn=a.SVGlast=0;a.SVGi=-1;a.SVGchunk=this.config.EqnChunk;a.SVGdelay=!1},Translate:function(a,b){if(a.parentNode){b.SVGdelay&&(b.SVGdelay=!1,r.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay)));var c=a.MathJax.elementJax,d=c.root,e=document.getElementById(c.inputID+"-Frame"),f=c.SVG.display?e.parentNode:e;this.em=h.mbase.prototype.em=c.SVG.em;this.ex=c.SVG.ex;this.linebreakWidth=1E3*c.SVG.lineWidth;this.cwidth=c.SVG.cwidth;this.mathDiv=f;e.appendChild(this.textSVG);this.initSVG(d,e);d.setTeXclass();try{d.toSVG(e,f)}catch(g){if(g.restart)for(;e.firstChild;)e.removeChild(e.firstChild);throw g;}e.removeChild(this.textSVG);c.SVG.isHidden&&a.parentNode.insertBefore(f,a);f.className=f.className.split(/ /)[0];this.hideProcessedMath&&(f.className+=" MathJax_SVG_Processed",a.MathJax.preview&&(c.SVG.preview=a.MathJax.preview,delete a.MathJax.preview),b.SVGeqn+=b.i-b.SVGi,b.SVGi=b.i,b.SVGeqn>=b.SVGlast+b.SVGchunk&&(this.postTranslate(b),b.SVGchunk=Math.floor(b.SVGchunk*this.config.EqnChunkFactor),b.SVGdelay=!0))}},postTranslate:function(a){var b=a.jax[this.id];if(this.hideProcessedMath){for(var c=a.SVGlast,d=a.SVGeqn;c<d;c++){var e=b[c];if(e&&e.MathJax.elementJax){e.previousSibling.className=e.previousSibling.className.split(/ /)[0];var f=e.MathJax.elementJax.SVG;f.preview&&(f.preview.innerHTML="",e.MathJax.preview=f.preview,delete f.preview)}}a.SVGlast=a.SVGeqn}},hashCheck:function(a){if(a&&"g"===a.nodeName){do a=a.parentNode;while(a&&"svg"!==a.firstChild.nodeName)}return a},getJaxFromMath:function(a){"MathJax_SVG_Display"===a.parentNode.className&&(a=a.parentNode);do a=a.nextSibling;while(a&&"script"!==a.nodeName.toLowerCase());return r.getJaxFor(a)},getHoverSpan:function(a,b){b.style.position="relative";return b.firstChild},getHoverBBox:function(a,b,c){a=EVENT.getBBox(b.parentNode);a.h+=2;a.d-=2;return a},Zoom:function(a,b,c,d,e){b.className="MathJax_SVG";d=b.appendChild(this.ExSpan.cloneNode(!0));this.em=h.mbase.prototype.em=d.firstChild.offsetHeight/60/k.TeX.x_height*1E3;this.cwidth=.85*k.defaultWidth;d.parentNode.removeChild(d);b.appendChild(this.textSVG);this.mathDIV=b;this.idPostfix="-zoom";a.root.toSVG(b,b);this.idPostfix="";b.removeChild(this.textSVG);this.operaZoomRefresh&&setTimeout(function(){b.firstChild.style.border="1px solid transparent"},1);b.style.position=c.style.position="absolute";a=b.offsetWidth;d=b.offsetHeight;e=c.offsetHeight;var f=c.offsetWidth;b.style.position=c.style.position="";return{Y:-EVENT.getBBox(b).h,mW:f,mH:e,zW:a,zH:d}},initSVG:function(a,b){},Remove:function(a){var b=document.getElementById(a.inputID+"-Frame");b&&(a.SVG.display&&(b=b.parentNode),b.parentNode.removeChild(b));delete a.SVG},Em:function(a){return 6E-4>Math.abs(a)?"0em":a.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(a){a=Math.round(a/this.TeX.x_height*this.ex)/this.ex;return 6E-4>Math.abs(a)?"0ex":a.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(a){return(100*a).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(a,b,c){"string"!==typeof a&&(a=a.toString());if(""===a)return"";if(a===h.SIZE.NORMAL)return 1E3;if(a===h.SIZE.BIG)return 2E3;if(a===h.SIZE.SMALL)return 710;if("infinity"===a)return k.BIGDIMEN;if(a.match(/mathspace$/))return 1E3*k.MATHSPACE[a];var d=a.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);a=1E3*parseFloat(d[1]||"1");d=d[2];null==c&&(c=1E3);null==b&&(b=1);return"em"===d?a:"ex"===d?a*k.TeX.x_height/1E3:"%"===d?a/100*c/1E3:"px"===d?a/k.em:"pt"===d?a/10:"pc"===d?1.2*a:"in"===d?a*this.pxPerInch/k.em:"cm"===d?a*this.pxPerInch/k.em/2.54:"mm"===d?a*this.pxPerInch/k.em/25.4:"mu"===d?a/18*b:a*c/1E3},thickness2em:function(a,b){var c=k.TeX.rule_thickness;return a===h.LINETHICKNESS.MEDIUM?c:a===h.LINETHICKNESS.THIN?.67*c:a===h.LINETHICKNESS.THICK?1.67*c:this.length2em(a,b,c)},getPadding:function(a){var b={top:0,right:0,bottom:0,left:0},c=!1,d;for(d in b)if(b.hasOwnProperty(d)){var e=a.style["padding"+d.charAt(0).toUpperCase()+d.substr(1)];e&&(b[d]=this.length2em(e),c=!0)}return c?b:!1},getBorders:function(a){var b={top:0,right:0,bottom:0,left:0},c=!1,d;for(d in b)if(b.hasOwnProperty(d)){var e="border"+d.charAt(0).toUpperCase()+d.substr(1);a.style[e+"Style"]&&(c=!0,b[d]=this.length2em(a.style[e+"Width"]),b[d+"Style"]=a.style[e+"Style"],b[d+"Color"]=a.style[e+"Color"],"initial"===b[d+"Color"]&&(b[d+"Color"]=""))}return c?b:!1},Element:function(a,b){var c="string"===typeof a?document.createElementNS("http://www.w3.org/2000/svg",a):a;c.isMathJax=!0;if(b)for(var d in b)b.hasOwnProperty(d)&&c.setAttribute(d,b[d].toString());return c},addElement:function(a,b,c){return a.appendChild(this.Element(b,c))},TextNode:v.TextNode,addText:v.addText,ucMatch:v.ucMatch,HandleVariant:function(a,b,c){var d=q.G(),e,f,g,l,m,p,n,t;a||(a=this.FONTDATA.VARIANT[h.VARIANT.NORMAL]);a.forceFamily&&(c=q.TEXT(b,c,a.font),null!=a.h&&(c.h=a.h),null!=a.d&&(c.d=a.d),d.Add(c),c="");l=a;m=0;for(p=c.length;m<p;m++){a=l;e=c.charCodeAt(m);c.charAt(m);if(55296<=e&&56319>e)m++,e=(e-55296<<10)+(c.charCodeAt(m)-56320)+65536,this.FONTDATA.RemapPlane1&&(a=this.FONTDATA.RemapPlane1(e,a),e=a.n,a=a.variant);else for(t=this.FONTDATA.RANGES,g=0,n=t.length;g<n;g++)if(("alpha"!==t[g].name||!a.noLowerCase)&&(f=a["offset"+t[g].offset])&&e>=t[g].low&&e<=t[g].high){t[g].remap&&t[g].remap[e]?e=f+t[g].remap[e]:(e=e-t[g].low+f,t[g].add&&(e+=t[g].add));a["variant"+t[g].offset]&&(a=this.FONTDATA.VARIANT[a["variant"+t[g].offset]]);break}a.remap&&a.remap[e]&&(a.remap[e]instanceof Array?(a=a.remap[e],e=a[0],a=this.FONTDATA.VARIANT[a[1]]):"string"===typeof a.remap[e]?(c=a.remap[e]+c.substr(m+1),m=0,p=c.length,e=c.charCodeAt(0)):(e=a.remap[e],a.remap.variant&&(a=this.FONTDATA.VARIANT[a.remap.variant])));this.FONTDATA.REMAP[e]&&!a.noRemap&&(e=this.FONTDATA.REMAP[e],e instanceof Array&&(a=this.FONTDATA.VARIANT[e[1]],e=e[0]),"string"===typeof e&&(c=e+c.substr(m+1),m=0,p=c.length,e=e.charCodeAt(0)));g=this.lookupChar(a,e);(f=g[e])?f[5]&&f[5].space?d.w+=f[2]:(f=[b,g.id+"-"+e.toString(16).toUpperCase()].concat(f),d.Add(q.GLYPH.apply(q,f),d.w,0)):this.FONTDATA.DELIMITERS[e]?(f=this.createDelimiter(e,0,1,g),d.Add(f,d.w,"V"===this.FONTDATA.DELIMITERS[e].dir?f.d:0)):(65535>=e?f=String.fromCharCode(e):(f=e-65536,f=String.fromCharCode((f>>10)+55296)+String.fromCharCode((f&1023)+56320)),n=q.TEXT(b,f,{"font-family":a.defaultFamily||k.config.undefinedFamily,"font-style":a.italic?"italic":"","font-weight":a.bold?"bold":""}),null!=a.h&&(n.h=a.h),null!=a.d&&(n.d=a.d),f=q.G(),f.Add(n),d.Add(f,d.w,0),r.signal.Post(["SVG Jax - unknown char",e,a]))}1==c.length&&g.skew&&g.skew[e]&&(d.skew=1E3*g.skew[e]);1===d.element.childNodes.length&&(d.element=d.element.firstChild,d.removeable=!1,d.scale=b);return d},lookupChar:function(a,b){var c,d;if(!a.FONTS){var e=this.FONTDATA.FONTS,f=a.fonts||this.FONTDATA.VARIANT.normal.fonts;f instanceof Array||(f=[f]);a.fonts!=f&&(a.fonts=f);a.FONTS=[];c=0;for(d=f.length;c<d;c++)e[f[c]]&&a.FONTS.push(e[f[c]])}c=0;for(d=a.FONTS.length;c<d;c++){e=a.FONTS[c];"string"===typeof e&&(delete a.FONTS,this.loadFont(e));if(e[b])return e;this.findBlock(e,b)}return{id:"unknown"}},findBlock:function(a,b){if(a.Ranges)for(var c=0,d=a.Ranges.length;c<d&&!(b<a.Ranges[c][0]);c++)if(b<=a.Ranges[c][1]){for(var e=a.Ranges[c][2],f=a.Ranges.length-1;0<=f;f--)a.Ranges[f][2]==e&&a.Ranges.splice(f,1);this.loadFont(a.directory+"/"+e+".js")}},loadFont:function(a){r.RestartAfter(x.Require(this.fontDir+"/"+a))},createDelimiter:function(a,b,c,d){c||(c=1);var e=q.G();if(!a)return e.Clean(),delete e.element,e.w=e.r=this.TeX.nulldelimiterspace*c,e;b instanceof Array||(b=[b,b]);var f=b[1];b=b[0];for(var g={alias:a};g.alias;)a=g.alias,(g=this.FONTDATA.DELIMITERS[a])||(g={HW:[0,this.FONTDATA.VARIANT[h.VARIANT.NORMAL]]});g.load&&r.RestartAfter(x.Require(this.fontDir+"/fontdata-"+g.load+".js"));for(var l=0,m=g.HW.length;l<m;l++)if(g.HW[l][0]*c>=b-10-k.config.blacker||l==m-1&&!g.stretch)return g.HW[l][2]&&(c*=g.HW[l][2]),g.HW[l][3]&&(a=g.HW[l][3]),this.createChar(c,[a,g.HW[l][1]],d).With({stretched:!0});if(g.stretch)this["extendDelimiter"+g.dir](e,f,g.stretch,c,d);return e},createChar:function(a,b,c){var d="",e={fonts:[b[1]],noRemap:!0};c&&c===h.VARIANT.BOLD&&(e.fonts=[b[1]+"-bold",b[1]]);"string"!==typeof b[1]&&(e=b[1]);if(b[0]instanceof Array){c=0;for(var f=b[0].length;c<f;c++)d+=String.fromCharCode(b[0][c])}else d=String.fromCharCode(b[0]);b[4]&&(a*=b[4]);a=this.HandleVariant(e,a,d);b[2]&&(a.x=1E3*b[2]);b[3]&&(a.y=1E3*b[3]);b[5]&&(a.h+=1E3*b[5]);b[6]&&(a.d+=1E3*b[6]);return a},extendDelimiterV:function(a,b,c,d,e){var f=this.createChar(d,c.top||c.ext,e),g=this.createChar(d,c.bot||c.ext,e),l=f.h+f.d+g.h+g.d,m=-f.h;a.Add(f,0,m);m-=f.d;if(c.mid)var h=this.createChar(d,c.mid,e),l=l+(h.h+h.d);c.min&&b<l*c.min&&(b=l*c.min);if(b>l)for(e=this.createChar(d,c.ext,e),f=c.mid?2:1,b=(b-l)/f,l=(b+100)/(e.h+e.d);0<f--;){var n=k.Element("g",{transform:"translate("+e.y+","+(m-l*e.h+50+e.y)+") scale(1,"+l+")"});n.appendChild(e.element.cloneNode(!1));a.element.appendChild(n);m-=b;c.mid&&f&&(a.Add(h,0,m-h.h),m-=h.h+h.d)}else c.mid?(m+=(l-b)/2,a.Add(h,0,m-h.h),m+=-(h.h+h.d)+(l-b)/2):m+=l-b;a.Add(g,0,m-g.h);a.Clean();a.scale=d;a.isMultiChar=!0},extendDelimiterH:function(a,b,c,d,e){var f=this.createChar(d,c.left||c.rep,e),g=this.createChar(d,c.right||c.rep,e);a.Add(f,-f.l,0);var l=f.r-f.l+(g.r-g.l),f=f.r-f.l;if(c.mid)var h=this.createChar(d,c.mid,e),l=l+h.w;c.min&&b<l*c.min&&(b=l*c.min);if(b>l){e=this.createChar(d,c.rep,e);var p=c.fuzz||0,n=c.mid?2:1;b=(b-l)/n;for(l=(b+p)/(e.r-e.l);0<n--;){var q=k.Element("g",{transform:"translate("+(f-p/2-l*e.l+e.x)+","+e.y+") scale("+l+",1)"});q.appendChild(e.element.cloneNode(!1));a.element.appendChild(q);f+=b;c.mid&&n&&(a.Add(h,f,0),f+=h.w)}}else 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q=k.BBOX=MathJax.Object.Subclass({type:"g",removeable:!0,Init:function(a){this.h=this.d=-k.BIGDIMEN;this.w=this.r=this.H=this.D=0;this.l=k.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;this.type&&(this.element=k.Element(this.type,a))},With:function(a){return 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b=this.svg||this.toSVG(),c=this.SVGgetMu(b),d=this.getValues("maxsize","minsize","mathvariant","fontweight");("bold"===d.fontweight||600<=parseInt(d.fontweight))&&!this.Get("mathvariant",!0)&&(d.mathvariant=h.VARIANT.BOLD);d.maxsize=k.length2em(d.maxsize,c,b.w);d.minsize=k.length2em(d.minsize,c,b.w);a=Math.max(d.minsize,Math.min(d.maxsize,a));b=k.createDelimiter(this.data.join("").charCodeAt(0),a,b.scale,d.mathvariant);this.SVGhandleSpace(b);this.SVGhandleColor(b);delete this.svg.element;this.SVGsaveData(b);return b}});h.mtext.Augment({toSVG:function(){this.SVGgetStyles();var a,b,c=this.SVGgetScale();if("merror"===this.Parent().type)return a=this.SVG(),this.SVGhandleSpace(a),b=q.G(),b.Add(q.TEXT(.9*c,this.data.join(""),{fill:"#C00"})),a.Add(q.RECT(b.h+100,b.d+100,b.w+200,{fill:"#FF8",stroke:"#C00","stroke-width":50}),0,0),a.Add(b,150,0),a.H+=150,a.D+=50,a.Clean(),this.SVGsaveData(a),a;if(k.config.mtextFontInherit){a=this.SVG();this.SVGhandleSpace(a);b=this.SVGgetVariant();var 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c}});h.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var a=this.SVG();if(null!=this.data[0]){this.SVGhandleSpace(a);var b=a.Add(this.data[0].toSVG());a.Clean();b.ic&&(a.ic=b.ic);this.SVGhandleColor(a)}this.SVGsaveData(a);return a},SVGstretchH:function(a){return null!=this.data[0]?this.data[0].SVGstretchH(a):q.NULL()},SVGstretchV:function(a,b){return null!=this.data[0]?this.data[0].SVGstretchV(a,b):q.NULL()}});h.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var a=this.SVG();this.SVGhandleSpace(a);var b=this.SVGchildSVG(0),c=this.SVGchildSVG(1),d=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled"),e=a.scale=this.SVGgetScale(),f=d.displaystyle,g=k.TeX.axis_height*e;if(d.bevelled){var d=f?400:150,l=k.createDelimiter(47,Math.max(b.h+b.d,c.h+c.d)+2*d);a.Add(b,0,(b.d-b.h)/2+g+d);a.Add(l,b.w-d/2,(l.d-l.h)/2+g);a.Add(c,b.w+l.w-d,(c.d-c.h)/2+g-d)}else{var l=Math.max(b.w,c.w),h=k.thickness2em(d.linethickness,e),p,n,t=k.TeX.min_rule_thickness/k.em*1E3;f?(p=k.TeX.num1,n=k.TeX.denom1):(p=0===h?k.TeX.num3:k.TeX.num2,n=k.TeX.denom2);p*=e;n*=e;0===h?(e=Math.max((f?7:3)*k.TeX.rule_thickness,2*t),f=p-b.d-(c.h-n),f<e&&(p+=(e-f)/2,n+=(e-f)/2),a.w=l,h=0):(e=Math.max((f?2:0)*t+h,h/2+1.5*t),f=p-b.d-(g+h/2),f<e&&(p+=e-f),f=g-h/2-(c.h-n),f<e&&(n+=e-f),a.Add(q.RECT(h/2,h/2,l+2*h),0,g));a.Align(b,d.numalign,h,p);a.Align(c,d.denomalign,h,-n)}a.Clean();this.SVGhandleColor(a);this.SVGsaveData(a);return a},SVGcanStretch:function(a){return!1},SVGhandleSpace:function(a){this.texWithDelims||(a.x=(this.useMMLspacing?0:k.length2em(this.texSpacing()||0))+120,a.X=120)}});h.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var a=this.SVG();this.SVGhandleSpace(a);var b=this.SVGchildSVG(0),c,d,e=this.SVGgetScale(),f=k.TeX.rule_thickness*e,g,h,m=0;c=this.Get("displaystyle")?k.TeX.x_height*e:f;g=Math.max(f+c/4,1E3*k.TeX.min_root_space/k.em);h=b.h+b.d+g+f;d=k.createDelimiter(8730,h,e);d.h+d.d>h&&(g=(d.h+d.d-(h-f))/2);c=q.RECT(f,0,b.w);h=b.h+g+f;m=this.SVGaddRoot(a,d,m,d.h+d.d-h,e);a.Add(d,m,h-d.h);a.Add(c,m+d.w,h-c.h);a.Add(b,m+d.w,0);a.Clean();a.h+=f;a.H+=f;this.SVGhandleColor(a);this.SVGsaveData(a);return a},SVGaddRoot:function(a,b,c,d,e){return c}});h.mroot.Augment({toSVG:h.msqrt.prototype.toSVG,SVGaddRoot:function(a,b,c,d,e){var f=(b.isMultiChar?.55:.65)*b.w;if(this.data[1]){var g=this.data[1].toSVG();g.x=0;b=this.SVGrootHeight(b.h+b.d,e,g)-d;d=Math.min(g.w,g.r);c=Math.max(d,f);a.Add(g,c-d,b)}else f=c;return c-f},SVGrootHeight:function(a,b,c){return.45*(a-900*b)+600*b+Math.max(0,c.d-75)}});h.mfenced.Augment({SVG:q.ROW,toSVG:function(){this.SVGgetStyles();var a=this.SVG();this.SVGhandleSpace(a);this.data.open&&a.Check(this.data.open);null!=this.data[0]&&a.Check(this.data[0]);for(var b=1,c=this.data.length;b<c;b++)this.data[b]&&(this.data["sep"+b]&&a.Check(this.data["sep"+b]),a.Check(this.data[b]));this.data.close&&a.Check(this.data.close);a.Stretch();a.Clean();this.SVGhandleColor(a);this.SVGsaveData(a);return a}});h.menclose.Augment({toSVG:h.mbase.SVGautoload});h.maction.Augment({toSVG:h.mbase.SVGautoload});h.semantics.Augment({toSVG:function(){this.SVGgetStyles();var a=this.SVG();null!=this.data[0]&&(this.SVGhandleSpace(a),a.Add(this.data[0].toSVG()));a.Clean();this.SVGsaveData(a);return a},SVGstretchH:function(a){return null!=this.data[0]?this.data[0].SVGstretchH(a):q.NULL()},SVGstretchV:function(a,b){return null!=this.data[0]?this.data[0].SVGstretchV(a,b):q.NULL()}});h.munderover.Augment({toSVG:function(a,b){this.SVGgetStyles();var c=this.getValues("displaystyle","accent","accentunder","align");if(!c.displaystyle&&null!=this.data[this.base]&&this.data[this.base].CoreMO().Get("movablelimits"))return h.msubsup.prototype.toSVG.call(this);var d=this.SVG();this.SVGhandleSpace(d);var e=d.scale=this.SVGgetScale(),f=[],g=[],l,m,p=-k.BIGDIMEN,n=p;l=0;for(m=this.data.length;l<m;l++)null!=this.data[l]&&(l==this.base?(f[l]=this.SVGdataStretched(l,a,b),g[l]=(null!=b||null==a)&&this.data[l].SVGcanStretch("Horizontal")):(f[l]=this.data[l].toSVG(),g[l]=this.data[l].SVGcanStretch("Horizontal")),f[l].w>n&&(n=f[l].w),!g[l]&&n>p&&(p=n));null==b&&null!=a?p=a:p==-k.BIGDIMEN&&(p=n);l=n=0;for(m=this.data.length;l<m;l++)this.data[l]&&(g[l]&&(f[l]=this.data[l].SVGstretchH(p)),f[l].w>n&&(n=f[l].w));var p=k.TeX.rule_thickness,t=f[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,scale:e},w,u,r,v,x=0;t.ic&&(x=1.3*t.ic+.05);l=0;for(m=this.data.length;l<m;l++)null!=this.data[l]&&(g=f[l],v=k.TeX.big_op_spacing5*e,(r=l!=this.base&&c[this.ACCENTS[l]])&&1>=g.w&&(g.x=-g.l,f[l]=q.G().With({removeable:!1}),f[l].Add(g),f[l].Clean(),f[l].w=-g.l,g=f[l]),w={left:0,center:(n-g.w)/2,right:n-g.w}[c.align],u=0,l==this.over?(r?(r=p*e,v=0,t.skew&&(w+=t.skew)):(r=k.TeX.big_op_spacing1*e,u=k.TeX.big_op_spacing3*e,r=Math.max(r,u-Math.max(0,g.d))),r=Math.max(r,1500/k.em),w+=x/2,u=t.h+g.d+r,g.h+=v,g.h>g.H&&(g.H=g.h)):l==this.under&&(r?(r=3*p*e,v=0):(r=k.TeX.big_op_spacing2*e,u=k.TeX.big_op_spacing4*e,r=Math.max(r,u-g.h)),r=Math.max(r,1500/k.em),w-=x/2,u=-(t.d+g.h+r),g.d+=v,g.d>g.D&&(g.D=g.d)),d.Add(g,w,u));d.Clean();this.SVGhandleColor(d);this.SVGsaveData(d);return d}});h.msubsup.Augment({toSVG:function(a,b){this.SVGgetStyles();var c=this.SVG();this.SVGhandleSpace(c);var d=c.scale=this.SVGgetScale(),e=this.SVGgetMu(c),f=c.Add(this.SVGdataStretched(this.base,a,b)),g=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale(),h=k.TeX.x_height*d,m=k.TeX.scriptspace*d,p,n;this.SVGnotEmpty(this.data[this.sup])&&(p=this.data[this.sup].toSVG(),p.w+=m,p.r=Math.max(p.w,p.r));this.SVGnotEmpty(this.data[this.sub])&&(n=this.data[this.sub].toSVG(),n.w+=m,n.r=Math.max(n.w,n.r));var q=k.TeX.sup_drop*g,m=f.h+(f.y||0)-q,r=f.d-(f.y||0)+k.TeX.sub_drop*g,g=0;f.ic&&(f.w-=f.ic,g=1.3*f.ic+.05);!this.data[this.base]||"mi"!==this.data[this.base].type&&"mo"!==this.data[this.base].type||1!==this.data[this.base].data.join("").length||1!==f.scale||f.stretched||this.data[this.base].Get("largeop")||(m=r=0);var u=this.getValues("subscriptshift","superscriptshift");u.subscriptshift=""===u.subscriptshift?0:k.length2em(u.subscriptshift,e);u.superscriptshift=""===u.superscriptshift?0:k.length2em(u.superscriptshift,e);p?n?(r=Math.max(r,k.TeX.sub2*d),d*=k.TeX.rule_thickness,m-p.d-(n.h-r)<3*d&&(r=3*d-m+p.d+n.h,q=.8*h-(m-p.d),0<q&&(m+=q,r-=q)),c.Add(p,f.w+g,Math.max(m,u.superscriptshift)),c.Add(n,f.w,-Math.max(r,u.subscriptshift)),this.data[this.sup].SVGdata.dx=g,this.data[this.sup].SVGdata.dy=Math.max(m,u.superscriptshift),this.data[this.sub].SVGdata.dy=-Math.max(r,u.subscriptshift)):(values=this.getValues("displaystyle","texprimestyle"),n=k.TeX[values.displaystyle?"sup1":values.texprimestyle?"sup3":"sup2"],m=Math.max(m,n*d,p.d+.25*h,u.superscriptshift),c.Add(p,f.w+g,m),this.data[this.sup].SVGdata.dx=g,this.data[this.sup].SVGdata.dy=m):n&&(r=Math.max(r,k.TeX.sub1*d,n.h-.8*h,u.subscriptshift),c.Add(n,f.w,-r),this.data[this.sub].SVGdata.dy=-r);c.Clean();this.SVGhandleColor(c);this.SVGsaveData(c);return c}});h.mmultiscripts.Augment({toSVG:h.mbase.SVGautoload});h.mtable.Augment({toSVG:h.mbase.SVGautoload});h["annotation-xml"].Augment({toSVG:h.mbase.SVGautoload});h.math.Augment({SVG:q.Subclass({type:"svg",removeable:!1}),toSVG:function(a,b){if(this.data[0]){this.SVGgetStyles();h.mbase.prototype.displayAlign=r.config.displayAlign;h.mbase.prototype.displayIndent=r.config.displayIndent;var c=q.G({stroke:"black",fill:"black","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"}).With({removeable:!1});c.Add(this.data[0].toSVG(),0,0,!0);c.Clean();this.SVGhandleColor(c);var d=this.SVG();d.element.setAttribute("xmlns:xlink","http://www.w3.org/1999/xlink");d.Add(c);d.Clean();this.SVGsaveData(d);var e=Math.max(-d.l,0),f=Math.max(d.r-d.w,0),c=d.element.style;c.width=k.Ex(e+d.w+f);c.height=k.Ex(d.H+d.D+2*k.em);c.verticalAlign=k.Ex(-d.D-3*k.em);c.marginLeft=k.Ex(-e);c.marginRight=k.Ex(-f);d.element.setAttribute("viewBox",-e+" "+(-d.H-k.em)+" "+(e+d.w+f)+" "+(d.H+d.D+2*k.em));d.element.style.margin="1px 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a}});h.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var a=this.SVG();this.SVGhandleSpace(a);if(null!=this.data[0]){var b=this.data[0].toSVG(),c=0;this.texClass===h.TEXCLASS.VCENTER&&(c=k.TeX.axis_height-(b.h+b.d)/2+b.d);a.Add(b,0,c);a.ic=b.ic}this.SVGhandleColor(a);this.SVGsaveData(a);return a}});r.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",k,"jax.js"]),0)})});r.Browser.Select({Opera:function(a){k.Augment({operaZoomRefresh:!0})}});r.Register.StartupHook("End Cookie",function(){"None"!==r.config.menuSettings.zoom&&x.Require("[MathJax]/extensions/MathZoom.js")});document.createElementNS||(document.namespaces.svg||document.namespaces.add("svg","http://www.w3.org/2000/svg"),k.Augment({Element:function(a,b){var c="string"===typeof a?document.createElement("svg:"+a):a;c.isMathJax=!0;if(b)for(var d in b)b.hasOwnProperty(d)&&c.setAttribute(d,b[d].toString());return c}}))})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
    14.