From 67325e338ac7d2def8743581b8cbbc4d7cb327bd Mon Sep 17 00:00:00 2001 From: Paul Duncan Date: Tue, 7 Nov 2017 23:57:50 -0500 Subject: upgrade to mathjax 2.7.2 --- htdocs/js/MathJax-2.7.0/config/AM_CHTML-full.js | 52 - htdocs/js/MathJax-2.7.0/config/AM_CHTML.js | 48 - .../js/MathJax-2.7.0/config/AM_HTMLorMML-full.js | 60 -- htdocs/js/MathJax-2.7.0/config/AM_HTMLorMML.js | 54 - htdocs/js/MathJax-2.7.0/config/AM_SVG-full.js | 52 - htdocs/js/MathJax-2.7.0/config/AM_SVG.js | 46 - htdocs/js/MathJax-2.7.0/config/Accessible-full.js | 82 -- htdocs/js/MathJax-2.7.0/config/Accessible.js | 76 -- htdocs/js/MathJax-2.7.0/config/MML_CHTML-full.js | 52 - htdocs/js/MathJax-2.7.0/config/MML_CHTML.js | 48 - .../js/MathJax-2.7.0/config/MML_HTMLorMML-full.js | 60 -- htdocs/js/MathJax-2.7.0/config/MML_HTMLorMML.js | 54 - htdocs/js/MathJax-2.7.0/config/MML_SVG-full.js | 52 - htdocs/js/MathJax-2.7.0/config/MML_SVG.js | 48 - htdocs/js/MathJax-2.7.0/config/MMLorHTML.js | 19 - htdocs/js/MathJax-2.7.0/config/Safe.js | 19 - .../config/TeX-AMS-MML_HTMLorMML-full.js | 74 -- .../MathJax-2.7.0/config/TeX-AMS-MML_HTMLorMML.js | 68 -- .../MathJax-2.7.0/config/TeX-AMS-MML_SVG-full.js | 66 -- htdocs/js/MathJax-2.7.0/config/TeX-AMS-MML_SVG.js | 62 -- .../js/MathJax-2.7.0/config/TeX-AMS_CHTML-full.js | 60 -- htdocs/js/MathJax-2.7.0/config/TeX-AMS_CHTML.js | 56 - .../js/MathJax-2.7.0/config/TeX-AMS_HTML-full.js | 60 -- htdocs/js/MathJax-2.7.0/config/TeX-AMS_HTML.js | 56 - htdocs/js/MathJax-2.7.0/config/TeX-AMS_SVG-full.js | 60 -- htdocs/js/MathJax-2.7.0/config/TeX-AMS_SVG.js | 56 - .../MathJax-2.7.0/config/TeX-MML-AM_CHTML-full.js | 72 -- htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_CHTML.js | 68 -- .../config/TeX-MML-AM_HTMLorMML-full.js | 80 -- .../MathJax-2.7.0/config/TeX-MML-AM_HTMLorMML.js | 74 -- .../js/MathJax-2.7.0/config/TeX-MML-AM_SVG-full.js | 72 -- htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_SVG.js | 68 -- htdocs/js/MathJax-2.7.0/config/default.js | 1117 -------------------- htdocs/js/MathJax-2.7.0/config/local/local.js | 40 - 34 files changed, 3031 deletions(-) delete mode 100644 htdocs/js/MathJax-2.7.0/config/AM_CHTML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/AM_CHTML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/AM_HTMLorMML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/AM_HTMLorMML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/AM_SVG-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/AM_SVG.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/Accessible-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/Accessible.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/MML_CHTML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/MML_CHTML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/MML_HTMLorMML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/MML_HTMLorMML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/MML_SVG-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/MML_SVG.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/MMLorHTML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/Safe.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS-MML_HTMLorMML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS-MML_HTMLorMML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS-MML_SVG-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS-MML_SVG.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS_CHTML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS_CHTML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS_HTML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS_HTML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS_SVG-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-AMS_SVG.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_CHTML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_CHTML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_HTMLorMML-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_HTMLorMML.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_SVG-full.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/TeX-MML-AM_SVG.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/default.js delete mode 100644 htdocs/js/MathJax-2.7.0/config/local/local.js (limited to 'htdocs/js/MathJax-2.7.0/config') diff --git a/htdocs/js/MathJax-2.7.0/config/AM_CHTML-full.js b/htdocs/js/MathJax-2.7.0/config/AM_CHTML-full.js deleted file mode 100644 index 44534e5..0000000 --- a/htdocs/js/MathJax-2.7.0/config/AM_CHTML-full.js +++ /dev/null @@ -1,52 +0,0 @@ -/* - * /MathJax/config/AM_CHTML-full.js - * - * Copyright (c) 2010-2016 The MathJax Consortium - * - * Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * 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this.data[r].CHTML}return h.BBOX.zero()},CHTMLdrawBBox:function(s,t){if(!t){t=this.CHTML}var r=h.Element("mjx-box",{style:{opacity:0.25,"margin-left":h.Em(-(t.w+(t.R||0)))}},[["mjx-box",{style:{height:h.Em(t.h),width:h.Em(t.w),"background-color":"red"}}],["mjx-box",{style:{height:h.Em(t.d),width:h.Em(t.w),"margin-left":h.Em(-t.w),"vertical-align":h.Em(-t.d),"background-color":"green"}}]]);if(s.nextSibling){s.parentNode.insertBefore(r,s.nextSibling)}else{s.parentNode.appendChild(r)}},CHTMLnotEmpty:function(r){while(r&&r.data.length<2&&(r.type==="mrow"||r.type==="texatom")){r=r.data[0]}return !!r}},{CHTMLautoload:function(){var r=h.autoloadDir+"/"+this.type+".js";c.RestartAfter(j.Require(r))},CHTMLautoloadFile:function(r){var s=h.autoloadDir+"/"+r+".js";c.RestartAfter(j.Require(s))},CHTMLstretchV:function(r,s){this.Core().CHTMLstretchV(r,s);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(s,r){this.CHTMLstretchCoreH(s,r);this.toCommonHTML(s,{stretch:true});return this.CHTML}});i.chars.Augment({toCommonHTML:function(s,r){if(r==null){r={}}var t=this.toString();if(r.remap){t=r.remap(t,r.remapchars)}this.CHTMLhandleText(s,t,r.variant||this.parent.CHTMLvariant)}});i.entity.Augment({toCommonHTML:function(s,r){if(r==null){r={}}var t=this.toString();if(r.remapchars){t=r.remap(t,r.remapchars)}this.CHTMLhandleText(s,t,r.variant||this.parent.CHTMLvariant)}});i.math.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w);if(this.CHTML.w<0){w.parentNode.style.width="0px";w.parentNode.style.marginRight=h.Em(this.CHTML.w)}var u=this.Get("alttext");if(u&&!w.getAttribute("aria-label")){w.setAttribute("aria-label",u)}if(this.CHTML.pwidth){w.parentNode.style.minWidth=this.CHTML.mwidth||h.Em(this.CHTML.w);w.parentNode.className="mjx-full-width "+w.parentNode.className;w.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===i.INDENTALIGN.AUTO){t.indentalign=o.displayAlign}if(t.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift="0"}var s=this.CHTMLlength2em(t.indentshift,h.cwidth);if(o.displayIndent!=="0"){var r=this.CHTMLlength2em(o.displayIndent,h.cwidth);s+=(t.indentalign===i.INDENTALIGN.RIGHT?-r:r)}var v=w.parentNode.parentNode.style;w.parentNode.style.textAlign=v.textAlign=t.indentalign;if(s){s*=h.em/h.outerEm;c.Insert(v,({left:{marginLeft:h.Em(s)},right:{marginRight:h.Em(-s)},center:{marginLeft:h.Em(s),marginRight:h.Em(-s)}})[t.indentalign])}}}return w}});i.mi.Augment({toCommonHTML:function(r){r=this.CHTMLdefaultNode(r);var t=this.CHTML,s=this.data.join("");if(t.skew!=null&&s.length!==1){delete t.skew}if(t.r>t.w&&s.length===1&&!this.CHTMLvariant.noIC){t.ic=t.r-t.w;t.w=t.r;r.lastChild.style.paddingRight=h.Em(t.ic)}return r}});i.mn.Augment({CHTMLremapMinus:function(r){return r.replace(/^-/,"\u2212")},toCommonHTML:function(r){r=this.CHTMLdefaultNode(r,{childOptions:{remap:this.CHTMLremapMinus}});var t=this.CHTML,s=this.data.join("");if(t.skew!=null&&s.length!==1){delete t.skew}if(t.r>t.w&&s.length===1&&!this.CHTMLvariant.noIC){t.ic=t.r-t.w;t.w=t.r;r.lastChild.style.paddingRight=h.Em(t.ic)}return r}});i.mo.Augment({toCommonHTML:function(u){u=this.CHTMLcreateNode(u);this.CHTMLhandleStyle(u);this.CHTMLgetVariant();this.CHTMLhandleScale(u);h.BBOX.empty(this.CHTML);var s=this.getValues("displaystyle","largeop");s.variant=this.CHTMLvariant;s.text=this.data.join("");if(s.text==""){if(this.fence){u.style.width=h.Em(h.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(s);this.CHTMLadjustVariant(s);for(var t=0,r=this.data.length;t0){if(!this.hasValue("lspace")){s.lspace=0.15}if(!this.hasValue("rspace")){s.rspace=0.15}}var r=this,t=this.Parent();while(t&&t.isEmbellished()&&t.Core()===r){r=t;t=t.Parent();u=r.CHTMLnodeElement()}if(s.lspace){u.style.paddingLeft=h.Em(s.lspace)}if(s.rspace){u.style.paddingRight=h.Em(s.rspace)}this.CHTML.L=s.lspace;this.CHTML.R=s.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(t){var s=this.CoreParent();t.parent=s;if(t.text.length===1&&s&&s.isa(i.munderover)&&this.CoreText(s.data[s.base]).length===1){var u=s.data[s.over],r=s.data[s.under];if(u&&this===u.CoreMO()&&s.Get("accent")){t.remapchars=h.FONTDATA.REMAPACCENT}else{if(r&&this===r.CoreMO()&&s.Get("accentunder")){t.remapchars=h.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(s){var r=s.parent,t=(r&&r.isa(i.msubsup)&&this!==r.data[r.base]);if(s.largeop){s.mathvariant=(s.displaystyle?"-largeOp":"-smallOp")}if(t){s.remapchars=this.remapChars;if(s.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(r){r=r.firstChild;var s=h.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});r.insertBefore(s,r.firstChild)},CHTMLcenterOp:function(r){var t=this.CHTML;var s=(t.h-t.d)/2-h.TEX.axis_height;if(Math.abs(s)>0.001){r.style.verticalAlign=h.Em(-s)}t.h-=s;t.d+=s;if(t.r>t.w){t.ic=t.r-t.w;t.w=t.r;r.style.paddingRight=h.Em(t.ic)}},CHTMLcanStretch:function(v,t,u){if(!this.Get("stretchy")){return false}var w=this.data.join("");if(w.length!==1){return false}var s={text:w};this.CHTMLadjustAccent(s);if(s.remapchars){w=s.remapchars[w]||w}w=h.FONTDATA.DELIMITERS[w.charCodeAt(0)];var r=(w&&w.dir===v.substr(0,1));if(r){r=(this.CHTML.h!==t||this.CHTML.d!==u||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(r){this.CHTML.stretch=true}}return r},CHTMLstretchV:function(u,x){var v=this.CHTMLnodeElement(),w=this.CHTML;var s=this.getValues("symmetric","maxsize","minsize");var t,r=h.TEX.axis_height;if(s.symmetric){t=2*Math.max(u-r,x+r)}else{t=u+x}s.maxsize=this.CHTMLlength2em(s.maxsize,w.h+w.d);s.minsize=this.CHTMLlength2em(s.minsize,w.h+w.d);t=Math.max(s.minsize,Math.min(s.maxsize,t));if(t!==w.sH){if(t!=s.minsize){t=[Math.max(t*h.TEX.delimiterfactor/1000,t-h.TEX.delimitershortfall),t]}while(v.firstChild){v.removeChild(v.firstChild)}this.CHTML=w=h.createDelimiter(v,this.data.join("").charCodeAt(0),t,w);w.sH=(t instanceof Array?t[1]:t);if(s.symmetric){t=(w.h+w.d)/2+r}else{t=(w.h+w.d)*u/(u+x)}t-=w.h;if(Math.abs(t)>0.05){v.style.verticalAlign=h.Em(t);w.h+=t;w.d-=t;w.t+=t;w.b-=t}}return this.CHTML},CHTMLstretchH:function(t,r){var u=this.CHTML;var s=this.getValues("maxsize","minsize","mathvariant","fontweight");if((s.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(s.fontweight)>=600)&&!this.Get("mathvariant",true)){s.mathvariant=i.VARIANT.BOLD}s.maxsize=this.CHTMLlength2em(s.maxsize,u.w);s.minsize=this.CHTMLlength2em(s.minsize,u.w);r=Math.max(s.minsize,Math.min(s.maxsize,r));if(r!==u.sW){while(t.firstChild){t.removeChild(t.firstChild)}this.CHTML=u=h.createDelimiter(t,this.data.join("").charCodeAt(0),r,u,s.mathvariant);u.sW=r}return this.CHTML}});i.mtext.Augment({CHTMLgetVariant:function(){if(h.config.mtextFontInherit||this.Parent().type==="merror"){var t=(h.config.scale/100)/h.scale;var s={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:t,style:{"font-size":h.Percent(t)}};var r=this.Get("mathvariant");if(r.match(/bold/)){s.style["font-weight"]="bold"}if(r.match(/italic|-tex-mathit/)){s.style["font-style"]="italic"}if(r==="monospace"){s.className+=" MJXc-monospace-font"}if(r==="double-struck"){s.className+=" MJXc-double-struck-font"}if(r.match(/fraktur/)){s.className+=" MJXc-fraktur-font"}if(r.match(/sans-serif/)){s.className+=" MJXc-sans-serif-font"}if(r.match(/script/)){s.className+=" MJXc-script-font"}this.CHTMLvariant=s}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});i.merror.Augment({toCommonHTML:function(r){r=this.CHTMLdefaultNode(r);var s=this.CHTML;s.rescale(0.9);s.h+=3/h.em;if(s.h>s.t){s.t=s.h}s.d+=3/h.em;if(s.d>s.b){s.b=s.d}s.w+=8/h.em;s.r=s.w;s.l=0;return r}});i.mspace.Augment({toCommonHTML:function(u){u=this.CHTMLcreateNode(u);this.CHTMLhandleStyle(u);this.CHTMLhandleScale(u);var s=this.getValues("height","depth","width");var r=this.CHTMLlength2em(s.width),t=this.CHTMLlength2em(s.height),x=this.CHTMLlength2em(s.depth);var v=this.CHTML;v.w=v.r=r;v.h=v.t=t;v.d=v.b=x;v.l=0;if(r<0){u.style.marginRight=h.Em(r);r=0}u.style.width=h.Em(r);u.style.height=h.Em(Math.max(0,t+x));if(x){u.style.verticalAlign=h.Em(-x)}this.CHTMLhandleBBox(u);this.CHTMLhandleColor(u);return u}});i.mpadded.Augment({toCommonHTML:function(s,E){var r;if(E&&E.stretch){s=s.firstChild;r=s.firstChild}else{s=this.CHTMLdefaultNode(s,{childNodes:"mjx-box",forceChild:true});r=s.firstChild;s=h.addElement(s,"mjx-block");s.appendChild(r);h.addElement(s,"mjx-strut")}var v=this.CHTMLbboxFor(0);var C=this.getValues("width","height","depth","lspace","voffset");var A=0,z=0,B=v.w,t=v.h,u=v.d;r.style.width=0;r.style.margin=h.Em(-t)+" 0 "+h.Em(-u);if(C.width!==""){B=this.CHTMLdimen(C.width,"w",B,0)}if(C.height!==""){t=this.CHTMLdimen(C.height,"h",t,0)}if(C.depth!==""){u=this.CHTMLdimen(C.depth,"d",u,0)}if(C.voffset!==""){z=this.CHTMLdimen(C.voffset);if(z){r.style.position="relative";r.style.top=h.Em(-z)}}if(C.lspace!==""){A=this.CHTMLdimen(C.lspace);if(A){r.style.position="relative";r.style.left=h.Em(A)}}s.style.width=0;s.style.marginTop=h.Em(t-e);s.style.padding="0 "+h.Em(B)+" "+h.Em(u)+" 0";var D=h.BBOX({w:B,h:t,d:u,l:0,r:B,t:t,b:u,scale:this.CHTML.scale,rscale:this.CHTML.rscale});D.combine(v,A,z);D.w=B;D.h=t;D.d=u;this.CHTML=D;return s.parentNode},CHTMLstretchV:i.mbase.CHTMLstretchV,CHTMLstretchH:i.mbase.CHTMLstretchH,CHTMLdimen:function(v,x,w,r){if(r==null){r=-n}v=String(v);var s=v.match(/width|height|depth/);var t=(s?this.CHTML[s[0].charAt(0)]:(x?this.CHTML[x]:0));var u=(this.CHTMLlength2em(v,t)||0);if(v.match(/^[-+]/)&&w!=null){u+=w}if(r!=null){u=Math.max(r,u)}return u}});i.munderover.Augment({toCommonHTML:function(v,F){var D=this.getValues("displaystyle","accent","accentunder","align");var t=this.data[this.base];if(!D.displaystyle&&t!=null&&(t.movablelimits||t.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toCommonHTML.call(this,v,s)}var A,y,r=[],s=false;if(F&&F.stretch){if(this.data[this.base]){t=h.getNode(v,"mjx-op")}if(this.data[this.under]){A=h.getNode(v,"mjx-under")}if(this.data[this.over]){y=h.getNode(v,"mjx-over")}r[0]=t;r[1]=A||y;r[2]=y;s=true}else{var x=["mjx-op","mjx-under","mjx-over"];if(this.over===1){x[1]=x[2]}v=this.CHTMLdefaultNode(v,{childNodes:x,noBBox:true,forceChild:true,minChildren:2});r[0]=t=v.removeChild(v.firstChild);r[1]=A=y=v.removeChild(v.firstChild);if(v.firstChild){r[2]=y=v.removeChild(v.firstChild)}}var w=[],u=this.CHTMLgetBBoxes(w,r,D);var E=w[this.base],B=this.CHTML;B.w=u;B.h=E.h;B.d=E.d;var z=t,C=0;if(E.ic){C=1.3*E.ic+0.05}if(this.data[this.over]){z=this.CHTMLaddOverscript(y,w,D,C,t,s)}if(this.data[this.under]){this.CHTMLaddUnderscript(A,w,D,C,v,z,s)}else{if(!s){v.appendChild(z)}}this.CHTMLplaceBoxes(t,A,y,D,w);return v},CHTMLgetBBoxes:function(z,v,u){var x,s=this.data.length,y,t=-n,r=t;for(x=0;xt){t=r}}if(t===-n){t=r}for(x=0;xC.w){C.skew+=(C.w-(z.x+t*z.w))/2}}}else{x=h.TEX.big_op_spacing1;w=h.TEX.big_op_spacing3;u=Math.max(x,w-Math.max(0,t*z.d))}z.x+=D/2;z.y=C.h+u+v+t*z.d;if(u){A.style.paddingBottom=h.Em(u/t)}if(v){A.style.paddingTop=h.Em(v/t)}return B},CHTMLaddUnderscript:function(A,y,D,C,s,z,r){var B=this.CHTML;var x,w,v=h.TEX.big_op_spacing5,u;var E=y[this.under],t=E.rscale;if(!r){h.addElement(s,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);s.firstChild.firstChild.firstChild.appendChild(z);s.firstChild.lastChild.appendChild(A)}if(E.D){E.d=E.D}if(E.d<0){A.firstChild.style.verticalAlign="top";s.firstChild.style.marginBottom=h.Em(E.d)}if(D.accentunder){u=2*h.TEX.rule_thickness;v=0}else{x=h.TEX.big_op_spacing2;w=h.TEX.big_op_spacing4;u=Math.max(x,w-t*E.h)}E.x=-C/2;E.y=-(B.d+u+v+t*E.h);if(u){A.style.paddingTop=h.Em(u/t)}if(v){A.style.paddingBottom=h.Em(v/t)}},CHTMLplaceBoxes:function(r,A,z,D,y){var s=this.CHTML.w,x,u=y.length,v;var C=h.BBOX.zero();C.scale=this.CHTML.scale;C.rscale=this.CHTML.rscale;y[this.base].x=y[this.base].y=0;var E=n;for(x=0;x0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=h.Em(N/B);z.style.paddingBottom=h.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=h.Em(Y/w);z.style.paddingRight=h.Em(N/w);E.style.verticalAlign=h.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:i.mbase.CHTMLstretchV,CHTMLstretchH:i.mbase.CHTMLstretchH,CHTMLchildNode:function(t,s){var r=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){r[1]=r[2]}return h.getNode(t,r[s])}});i.mfrac.Augment({toCommonHTML:function(M){M=this.CHTMLdefaultNode(M,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var w=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var N=w.displaystyle;var C=M.firstChild,s=M.lastChild;var x=h.addElement(M,"mjx-box");x.appendChild(C);x.appendChild(s);M.appendChild(x);if(w.numalign!=="center"){C.style.textAlign=w.numalign}if(w.denomalign!=="center"){s.style.textAlign=w.denomalign}var O=this.CHTMLbboxFor(0),A=this.CHTMLbboxFor(1),B=h.BBOX.empty(this.CHTML),E=O.rscale,y=A.rscale;w.linethickness=Math.max(0,h.thickness2em(w.linethickness||"0",B.scale));var L=h.TEX.min_rule_thickness/h.em,S=h.TEX.axis_height;var I=w.linethickness,K,J,G,F;if(w.bevelled){x.className+=" MJXc-bevelled";var R=(N?0.4:0.15);var D=Math.max(E*(O.h+O.d),y*(A.h+A.d))+2*R;var Q=h.Element("mjx-bevel");x.insertBefore(Q,s);var r=h.createDelimiter(Q,47,D);G=E*(O.d-O.h)/2+S+R;F=y*(A.d-A.h)/2+S-R;if(G){C.style.verticalAlign=h.Em(G/E)}if(F){s.style.verticalAlign=h.Em(F/y)}Q.style.marginLeft=Q.style.marginRight=h.Em(-R/2);B.combine(O,0,G);B.combine(r,E*O.w-R/2,0);B.combine(A,E*O.w+r.w-R,F);B.clean()}else{x.className+=" MJXc-stacked";if(N){G=h.TEX.num1;F=h.TEX.denom1}else{G=(I===0?h.TEX.num3:h.TEX.num2);F=h.TEX.denom2}if(I===0){K=Math.max((N?7:3)*h.TEX.rule_thickness,2*L);J=(G-O.d*E)-(A.h*y-F);if(JC){r=((z.h+z.d)-(C-F))/2}C=E.h+r+F;var A=this.CHTMLaddRoot(v,z,z.h+z.d-C);u.style.paddingTop=h.Em(r);u.style.borderTop=h.Px(w*E.scale,1)+" solid";D.style.paddingTop=h.Em(2*F-w);E.h+=r+2*F;B.combine(z,A,C-z.h);B.combine(E,A+z.w,0);B.clean();return v},CHTMLaddRoot:function(){return 0}});i.mroot.Augment({toCommonHTML:i.msqrt.prototype.toCommonHTML,CHTMLaddRoot:function(z,t,u){if(!this.data[1]){return}var y=this.CHTML,A=this.data[1].CHTML,v=z.firstChild;var r=A.rscale;var s=this.CHTMLrootHeight(A,t,r)-u;var x=Math.min(A.w,A.r);var B=Math.max(x,t.offset/r);if(s){v.style.verticalAlign=h.Em(s/r)}if(B>x){v.firstChild.style.paddingLeft=h.Em(B-x)}B-=t.offset/r;v.style.width=h.Em(B);y.combine(A,0,s);return B*r},CHTMLrootHeight:function(t,r,s){return 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w},CHTMLstretchV:function(r,s){this.CHTML.updateFrom(this.Core().CHTMLstretchV(r,s));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(s,r){this.CHTML.updateFrom(this.CHTMLstretchCoreH(s,r));this.toCommonHTML(s,{stretch:true});return this.CHTML}});i.semantics.Augment({toCommonHTML:function(r){r=this.CHTMLcreateNode(r);if(this.data[0]){this.data[0].toCommonHTML(r);this.CHTML.updateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(r)}return r}});i.annotation.Augment({toCommonHTML:function(r){return 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MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/AsciiMath/config.js", - "[MathJax]/jax/output/CommonHTML/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/asciimath2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/AsciiMath/jax.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - 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i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return 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n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); -MathJax.Ajax.loadComplete("[MathJax]/config/AM_CHTML.js"); diff --git a/htdocs/js/MathJax-2.7.0/config/AM_HTMLorMML-full.js b/htdocs/js/MathJax-2.7.0/config/AM_HTMLorMML-full.js deleted file mode 100644 index 25ae0a4..0000000 --- a/htdocs/js/MathJax-2.7.0/config/AM_HTMLorMML-full.js +++ /dev/null @@ -1,60 +0,0 @@ -/* - * /MathJax/config/AM_HTMLorMML-full.js - * - * Copyright (c) 2010-2016 The MathJax Consortium - * - * Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Hub.Config({delayJaxRegistration: true}); - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/AsciiMath/config.js", - "[MathJax]/jax/output/HTML-CSS/config.js", - "[MathJax]/jax/output/NativeMML/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/config/MMLorHTML.js", - "[MathJax]/extensions/asciimath2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/AsciiMath/jax.js", - "[MathJax]/jax/output/NativeMML/jax.js", - "[MathJax]/jax/output/HTML-CSS/jax.js", - "[MathJax]/jax/output/HTML-CSS/autoload/mtable.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.0",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.0",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax 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h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete 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r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return 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t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xE.w){d.createBlank(v,E.rw-E.w+0.1)}}if(!this.msieClipRectBug&&!E.noclip&&!p){var C=3/this.em;var B=(E.H==null?E.h:E.H),n=(E.D==null?E.d:E.D);var F=z-B-C,q=z+n+C,o=-1000,m=E.rw+1000;v.style.clip="rect("+this.Em(F)+" "+this.Em(m)+" "+this.Em(q)+" 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s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(t.length==1&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||!this.msieAccentBug||s.length){return s+r.c}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts 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n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 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MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); -MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML.js"); diff --git a/htdocs/js/MathJax-2.7.0/config/AM_SVG-full.js b/htdocs/js/MathJax-2.7.0/config/AM_SVG-full.js deleted file mode 100644 index c227b3b..0000000 --- a/htdocs/js/MathJax-2.7.0/config/AM_SVG-full.js +++ /dev/null @@ -1,52 +0,0 @@ -/* - * /MathJax/config/AM_SVG-full.js - * - * Copyright (c) 2010-2016 The MathJax Consortium - * - * Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/AsciiMath/config.js", - "[MathJax]/jax/output/SVG/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/asciimath2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/AsciiMath/jax.js", - "[MathJax]/jax/output/SVG/jax.js", - "[MathJax]/jax/output/SVG/autoload/mtable.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.0",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.0",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode 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-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.0",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.asciimath2jax={version:"2.7.0",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/AsciiMath/config.js", - "[MathJax]/jax/output/SVG/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/asciimath2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/AsciiMath/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.0",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.0",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode 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i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.0";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 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Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. 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t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;ut){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax 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o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xE.w){d.createBlank(v,E.rw-E.w+0.1)}}if(!this.msieClipRectBug&&!E.noclip&&!p){var C=3/this.em;var B=(E.H==null?E.h:E.H),n=(E.D==null?E.d:E.D);var F=z-B-C,q=z+n+C,o=-1000,m=E.rw+1000;v.style.clip="rect("+this.Em(F)+" "+this.Em(m)+" "+this.Em(q)+" 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s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var 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n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var 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s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var 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n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 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['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.0",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.0",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode 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s=this.getValues("maxsize","minsize","mathvariant","fontweight");if((s.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(s.fontweight)>=600)&&!this.Get("mathvariant",true)){s.mathvariant=i.VARIANT.BOLD}s.maxsize=this.CHTMLlength2em(s.maxsize,u.w);s.minsize=this.CHTMLlength2em(s.minsize,u.w);r=Math.max(s.minsize,Math.min(s.maxsize,r));if(r!==u.sW){while(t.firstChild){t.removeChild(t.firstChild)}this.CHTML=u=h.createDelimiter(t,this.data.join("").charCodeAt(0),r,u,s.mathvariant);u.sW=r}return this.CHTML}});i.mtext.Augment({CHTMLgetVariant:function(){if(h.config.mtextFontInherit||this.Parent().type==="merror"){var t=(h.config.scale/100)/h.scale;var s={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:t,style:{"font-size":h.Percent(t)}};var r=this.Get("mathvariant");if(r.match(/bold/)){s.style["font-weight"]="bold"}if(r.match(/italic|-tex-mathit/)){s.style["font-style"]="italic"}if(r==="monospace"){s.className+=" 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v=this.CHTML;v.w=v.r=r;v.h=v.t=t;v.d=v.b=x;v.l=0;if(r<0){u.style.marginRight=h.Em(r);r=0}u.style.width=h.Em(r);u.style.height=h.Em(Math.max(0,t+x));if(x){u.style.verticalAlign=h.Em(-x)}this.CHTMLhandleBBox(u);this.CHTMLhandleColor(u);return u}});i.mpadded.Augment({toCommonHTML:function(s,E){var r;if(E&&E.stretch){s=s.firstChild;r=s.firstChild}else{s=this.CHTMLdefaultNode(s,{childNodes:"mjx-box",forceChild:true});r=s.firstChild;s=h.addElement(s,"mjx-block");s.appendChild(r);h.addElement(s,"mjx-strut")}var v=this.CHTMLbboxFor(0);var C=this.getValues("width","height","depth","lspace","voffset");var A=0,z=0,B=v.w,t=v.h,u=v.d;r.style.width=0;r.style.margin=h.Em(-t)+" 0 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z=t,C=0;if(E.ic){C=1.3*E.ic+0.05}if(this.data[this.over]){z=this.CHTMLaddOverscript(y,w,D,C,t,s)}if(this.data[this.under]){this.CHTMLaddUnderscript(A,w,D,C,v,z,s)}else{if(!s){v.appendChild(z)}}this.CHTMLplaceBoxes(t,A,y,D,w);return v},CHTMLgetBBoxes:function(z,v,u){var x,s=this.data.length,y,t=-n,r=t;for(x=0;xt){t=r}}if(t===-n){t=r}for(x=0;xC.w){C.skew+=(C.w-(z.x+t*z.w))/2}}}else{x=h.TEX.big_op_spacing1;w=h.TEX.big_op_spacing3;u=Math.max(x,w-Math.max(0,t*z.d))}z.x+=D/2;z.y=C.h+u+v+t*z.d;if(u){A.style.paddingBottom=h.Em(u/t)}if(v){A.style.paddingTop=h.Em(v/t)}return B},CHTMLaddUnderscript:function(A,y,D,C,s,z,r){var B=this.CHTML;var x,w,v=h.TEX.big_op_spacing5,u;var E=y[this.under],t=E.rscale;if(!r){h.addElement(s,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);s.firstChild.firstChild.firstChild.appendChild(z);s.firstChild.lastChild.appendChild(A)}if(E.D){E.d=E.D}if(E.d<0){A.firstChild.style.verticalAlign="top";s.firstChild.style.marginBottom=h.Em(E.d)}if(D.accentunder){u=2*h.TEX.rule_thickness;v=0}else{x=h.TEX.big_op_spacing2;w=h.TEX.big_op_spacing4;u=Math.max(x,w-t*E.h)}E.x=-C/2;E.y=-(B.d+u+v+t*E.h);if(u){A.style.paddingTop=h.Em(u/t)}if(v){A.style.paddingBottom=h.Em(v/t)}},CHTMLplaceBoxes:function(r,A,z,D,y){var s=this.CHTML.w,x,u=y.length,v;var C=h.BBOX.zero();C.scale=this.CHTML.scale;C.rscale=this.CHTML.rscale;y[this.base].x=y[this.base].y=0;var E=n;for(x=0;x0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=h.Em(N/B);z.style.paddingBottom=h.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=h.Em(Y/w);z.style.paddingRight=h.Em(N/w);E.style.verticalAlign=h.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:i.mbase.CHTMLstretchV,CHTMLstretchH:i.mbase.CHTMLstretchH,CHTMLchildNode:function(t,s){var r=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){r[1]=r[2]}return h.getNode(t,r[s])}});i.mfrac.Augment({toCommonHTML:function(M){M=this.CHTMLdefaultNode(M,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var w=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var N=w.displaystyle;var C=M.firstChild,s=M.lastChild;var x=h.addElement(M,"mjx-box");x.appendChild(C);x.appendChild(s);M.appendChild(x);if(w.numalign!=="center"){C.style.textAlign=w.numalign}if(w.denomalign!=="center"){s.style.textAlign=w.denomalign}var O=this.CHTMLbboxFor(0),A=this.CHTMLbboxFor(1),B=h.BBOX.empty(this.CHTML),E=O.rscale,y=A.rscale;w.linethickness=Math.max(0,h.thickness2em(w.linethickness||"0",B.scale));var L=h.TEX.min_rule_thickness/h.em,S=h.TEX.axis_height;var I=w.linethickness,K,J,G,F;if(w.bevelled){x.className+=" MJXc-bevelled";var R=(N?0.4:0.15);var D=Math.max(E*(O.h+O.d),y*(A.h+A.d))+2*R;var Q=h.Element("mjx-bevel");x.insertBefore(Q,s);var r=h.createDelimiter(Q,47,D);G=E*(O.d-O.h)/2+S+R;F=y*(A.d-A.h)/2+S-R;if(G){C.style.verticalAlign=h.Em(G/E)}if(F){s.style.verticalAlign=h.Em(F/y)}Q.style.marginLeft=Q.style.marginRight=h.Em(-R/2);B.combine(O,0,G);B.combine(r,E*O.w-R/2,0);B.combine(A,E*O.w+r.w-R,F);B.clean()}else{x.className+=" 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0.45*(r.h+r.d-0.9)+r.offset+Math.max(0,t.d-0.075)}});i.mfenced.Augment({toCommonHTML:function(u){u=this.CHTMLcreateNode(u);this.CHTMLhandleStyle(u);this.CHTMLhandleScale(u);this.CHTMLaddChild(u,"open",{});for(var t=0,r=this.data.length;th.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(r,s){this.CHTMLstretchChildV(this.CoreIndex(),r,s);return this.CHTML},CHTMLstretchH:function(s,r){this.CHTMLstretchChildH(this.CoreIndex(),r,s);return this.CHTML}});i.mstyle.Augment({toCommonHTML:function(r){r=this.CHTMLdefaultNode(r);if(this.scriptlevel&&this.data[0]){this.CHTML.rescale(this.data[0].CHTML.rscale)}return r}});i.TeXAtom.Augment({toCommonHTML:function(w,u){if(!u||!u.stretch){w=this.CHTMLdefaultNode(w)}if(this.texClass===i.TEXCLASS.VCENTER){var r=h.TEX.axis_height,t=this.CHTML;var s=r-(t.h+t.d)/2+t.d;if(Math.abs(s)>0.001){w.style.verticalAlign=h.Em(s);t.h+=s;t.t+=s;t.d-=s;t.b-=s}}return w},CHTMLstretchV:function(r,s){this.CHTML.updateFrom(this.Core().CHTMLstretchV(r,s));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(s,r){this.CHTML.updateFrom(this.CHTMLstretchCoreH(s,r));this.toCommonHTML(s,{stretch:true});return this.CHTML}});i.semantics.Augment({toCommonHTML:function(r){r=this.CHTMLcreateNode(r);if(this.data[0]){this.data[0].toCommonHTML(r);this.CHTML.updateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(r)}return r}});i.annotation.Augment({toCommonHTML:function(r){return this.CHTMLcreateNode(r)}});i["annotation-xml"].Augment({toCommonHTML:i.mbase.CHTMLautoload});i.ms.Augment({toCommonHTML:i.mbase.CHTMLautoload});i.mglyph.Augment({toCommonHTML:i.mbase.CHTMLautoload});i.menclose.Augment({toCommonHTML:i.mbase.CHTMLautoload});i.maction.Augment({toCommonHTML:i.mbase.CHTMLautoload});i.mmultiscripts.Augment({toCommonHTML:i.mbase.CHTMLautoload});i.mtable.Augment({toCommonHTML:i.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",h,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML); -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.0";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return 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0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/MathML/config.js", - "[MathJax]/jax/output/CommonHTML/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/mml2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/MathML/jax.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.0",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.0",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode 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F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin 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q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var 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o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var 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j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xE.w){d.createBlank(v,E.rw-E.w+0.1)}}if(!this.msieClipRectBug&&!E.noclip&&!p){var C=3/this.em;var B=(E.H==null?E.h:E.H),n=(E.D==null?E.d:E.D);var F=z-B-C,q=z+n+C,o=-1000,m=E.rw+1000;v.style.clip="rect("+this.Em(F)+" "+this.Em(m)+" "+this.Em(q)+" 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s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var 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p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var 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o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n 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n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); -MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML-full.js"); diff --git a/htdocs/js/MathJax-2.7.0/config/MML_HTMLorMML.js b/htdocs/js/MathJax-2.7.0/config/MML_HTMLorMML.js deleted file mode 100644 index b5a25b4..0000000 --- a/htdocs/js/MathJax-2.7.0/config/MML_HTMLorMML.js +++ /dev/null @@ -1,54 +0,0 @@ -/* - * /MathJax/config/MML_HTMLorMML.js - * - * Copyright (c) 2010-2016 The MathJax Consortium - * - * Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Hub.Config({delayJaxRegistration: true}); - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/MathML/config.js", - "[MathJax]/jax/output/HTML-CSS/config.js", - "[MathJax]/jax/output/NativeMML/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/config/MMLorHTML.js", - "[MathJax]/extensions/mml2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/MathML/jax.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.0",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.0",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode 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MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.0";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px 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n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var 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n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var 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q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 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MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/MathML/config.js", - "[MathJax]/jax/output/SVG/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/mml2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/MathML/jax.js", - "[MathJax]/jax/output/SVG/jax.js", - "[MathJax]/jax/output/SVG/autoload/mtable.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.0",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.0",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode 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q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/MathML/config.js", - "[MathJax]/jax/output/SVG/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/mml2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/jax/input/MathML/jax.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - 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d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var 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c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); -MathJax.Ajax.loadComplete("[MathJax]/config/MML_SVG.js"); diff --git a/htdocs/js/MathJax-2.7.0/config/MMLorHTML.js b/htdocs/js/MathJax-2.7.0/config/MMLorHTML.js deleted file mode 100644 index 765eae1..0000000 --- a/htdocs/js/MathJax-2.7.0/config/MMLorHTML.js +++ /dev/null @@ -1,19 +0,0 @@ -/* - * /MathJax/config/MMLorHTML.js - * - * Copyright (c) 2009-2016 The MathJax Consortium - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -(function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var 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t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;ut){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax 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q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return 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o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xE.w){d.createBlank(v,E.rw-E.w+0.1)}}if(!this.msieClipRectBug&&!E.noclip&&!p){var C=3/this.em;var B=(E.H==null?E.h:E.H),n=(E.D==null?E.d:E.D);var F=z-B-C,q=z+n+C,o=-1000,m=E.rw+1000;v.style.clip="rect("+this.Em(F)+" "+this.Em(m)+" "+this.Em(q)+" 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s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var 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n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var 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r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return 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0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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s,L,N,t,J,B,v,F,y,G=1;B=this.createChar(M,(O.left||O.rep),1,C);s=M.removeChild(M.firstChild);v=this.createChar(M,(O.right||O.rep),1,C);L=M.removeChild(M.firstChild);y=this.createChar(M,O.rep,1,C);t=M.removeChild(M.firstChild);s.style.marginLeft=h.Em(-B.l);L.style.marginRight=h.Em(v.r-v.w);E.appendChild(s);var P=h.BBOX.zero();P.h=Math.max(B.h,v.h,y.h);P.d=Math.max(B.D||B.d,v.D||v.d,y.D||y.d);var x=(B.r-B.l)+(v.r-v.l)-q;if(O.mid){F=this.createChar(M,O.mid,1,C);N=M.removeChild(M.firstChild);N.style.marginleft=h.Em(-F.l);N.style.marginRight=h.Em(F.r-F.w);x+=F.r-F.l+q;G=2;if(F.h>P.h){P.h=F.h}if(F.d>P.d){P.d=F.d}}if(O.min&&rx){var A=y.r-y.l,I=A-q;var D=Math.min(Math.ceil((r-x)/(G*I)),this.maxStretchyParts);if(O.fullExtenders){r=D*G*I+x}else{I=(r-x)/(G*D)}var K=(A-I+q/G)/2;t.style.marginLeft=h.Em(-y.l-K);t.style.marginRight=h.Em(y.r-y.w+K);t.style.letterSpacing=h.Em(-(y.w-I));s.style.marginRight=h.Em(B.r-B.w);L.style.marginleft=h.Em(-v.l);var H=t.textContent,z=H;while(--D>0){H+=z}t.textContent=H;E.appendChild(t);if(O.mid){E.appendChild(N);J=E.appendChild(t.cloneNode(true))}}else{K=(r-x-q/G)/2;s.style.marginRight=h.Em(B.r-B.w+K);if(O.mid){E.appendChild(N)}L.style.marginLeft=h.Em(-v.l+K)}E.appendChild(L);this.adjustHeights([s,t,N,J,L],[B,y,F,y,v],P);if(u){P.scale=u.scale;P.rscale=u.rscale}return P},adjustHeights:function(s,v,w){var t=w.h,x=w.d;if(w.d<0){x=-w.d;w.D=w.d;w.d=0}for(var u=0,r=s.length;u0){delete this.D}},rescale:function(r){this.w*=r;this.h*=r;this.d*=r;this.l*=r;this.r*=r;this.t*=r;this.b*=r;if(this.L){this.L*=r}if(this.R){this.R*=r}if(this.D){this.D*=r}},combine:function(s,r,t){s.X=r;s.Y=t;scale=s.rscale;if(r+scale*s.r>this.r){this.r=r+scale*s.r}if(r+scale*s.lthis.w){this.w=r+scale*(s.w+(s.L||0)+(s.R||0))}if(t+scale*s.h>this.h){this.h=t+scale*s.h}if(s.D&&(this.D==null||scale*s.D-t>this.D)&&scale*s.D>this.d){this.D=scale*s.D-t}else{if(s.D==null&&this.D){delete this.D}}if(scale*s.d-t>this.d){this.d=scale*s.d-t}if(t+scale*s.t>this.t){this.t=t+scale*s.t}if(scale*s.b-t>this.b){this.b=scale*s.b-t}},append:function(s){scale=s.rscale;var r=this.w;if(r+scale*s.r>this.r){this.r=r+scale*s.r}if(r+scale*s.lthis.h){this.h=scale*s.h}if(s.D&&(this.D==null||scale*s.D>this.D)&&scale*s.D>this.d){this.D=scale*s.D}else{if(s.D==null&&this.D){delete this.D}}if(scale*s.d>this.d){this.d=scale*s.d}if(scale*s.t>this.t){this.t=scale*s.t}if(scale*s.b>this.b){this.b=scale*s.b}},updateFrom:function(r){this.h=r.h;this.d=r.d;this.w=r.w;this.r=r.r;this.l=r.l;this.t=r.t;this.b=r.b;if(r.pwidth){this.pwidth=r.pwidth}if(r.D){this.D=r.D}else{delete this.D}},adjust:function(s,r,u,t){this[r]+=h.length2em(s,1,this.scale);if(t==null){if(this[r]>this[u]){this[u]=this[r]}}else{if(this[u]y.r){y.r=y.w}if(s.h>y.h){y.h=s.h}if(s.d>y.d){y.d=s.d}if(s.t>y.t){y.t=s.t}if(s.b>y.b){y.b=s.b}}}},CHTMLstretchChildH:function(u,r,v){var x=this.data[u];if(x){var y=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Horizontal",r))){var s=t.w;t=x.CHTMLstretchH(this.CHTMLchildNode(v,u),r);y.w+=t.w-s;if(y.w>y.r){y.r=y.w}if(t.h>y.h){y.h=t.h}if(t.d>y.d){y.d=t.d}if(t.t>y.t){y.t=t.t}if(t.b>y.b){y.b=t.b}}}},CHTMLcanStretch:function(v,t,u){var s=false;if(this.isEmbellished()){var r=this.Core();if(r&&r!==this){s=r.CHTMLcanStretch(v,t,u)}}this.CHTML.stretch=s;return s},CHTMLstretchV:function(r,s){this.CHTML.updateFrom(this.Core().CHTMLstretchV(r,s));return this.CHTML},CHTMLstretchH:function(s,r){this.CHTML.updateFrom(this.CHTMLstretchCoreH(s,r));return this.CHTML},CHTMLstretchCoreH:function(s,r){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(s),r)},CHTMLcreateNode:function(r){if(!this.CHTML){this.CHTML={}}this.CHTML=h.BBOX.zero();if(this.href){r=h.addElement(r,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=h.GetID()}var s=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+h.idPostfix;return this.CHTMLhandleAttributes(h.addElement(r,"mjx-"+this.type,{id:s}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+h.idPostfix)},CHTMLlength2em:function(s,r){return h.length2em(s,r,this.CHTML.scale)},CHTMLhandleAttributes:function(u){if(this["class"]){if(u.className){u.className+=" "+this["class"]}else{u.className=this["class"]}}if(this.attrNames){var y=this.attrNames,t=i.nocopyAttributes,x=c.config.ignoreMMLattributes;var v=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var s=0,r=y.length;s2){r.scriptlevel=2}w=Math.pow(this.Get("scriptsizemultiplier"),r.scriptlevel);r.scriptminsize=h.length2em(this.Get("scriptminsize"),0.8,1);if(w600?"bold":"normal")}var s=r.mathvariant;if(this.variantForm){s="-TeX-variant"}if(r.family&&!r.hasVariant){if(!r.weight&&r.mathvariant.match(/bold/)){r.weight="bold"}if(!r.style&&r.mathvariant.match(/italic/)){r.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":r.family,"font-weight":r.weight||"normal","font-style":r.style||"normal"}};return}if(r.weight==="bold"){s={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[s]||s}else{if(r.weight==="normal"){s={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[s]||s}}if(r.style==="italic"){s={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[s]||s}else{if(r.style==="normal"){s={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[s]||s}}this.CHTMLvariant=h.FONTDATA.VARIANT[s]||h.FONTDATA.VARIANT[i.VARIANT.NORMAL]},CHTMLbboxFor:function(r){if(this.data[r]&&this.data[r].CHTML){return this.data[r].CHTML}return h.BBOX.zero()},CHTMLdrawBBox:function(s,t){if(!t){t=this.CHTML}var r=h.Element("mjx-box",{style:{opacity:0.25,"margin-left":h.Em(-(t.w+(t.R||0)))}},[["mjx-box",{style:{height:h.Em(t.h),width:h.Em(t.w),"background-color":"red"}}],["mjx-box",{style:{height:h.Em(t.d),width:h.Em(t.w),"margin-left":h.Em(-t.w),"vertical-align":h.Em(-t.d),"background-color":"green"}}]]);if(s.nextSibling){s.parentNode.insertBefore(r,s.nextSibling)}else{s.parentNode.appendChild(r)}},CHTMLnotEmpty:function(r){while(r&&r.data.length<2&&(r.type==="mrow"||r.type==="texatom")){r=r.data[0]}return !!r}},{CHTMLautoload:function(){var r=h.autoloadDir+"/"+this.type+".js";c.RestartAfter(j.Require(r))},CHTMLautoloadFile:function(r){var s=h.autoloadDir+"/"+r+".js";c.RestartAfter(j.Require(s))},CHTMLstretchV:function(r,s){this.Core().CHTMLstretchV(r,s);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(s,r){this.CHTMLstretchCoreH(s,r);this.toCommonHTML(s,{stretch:true});return this.CHTML}});i.chars.Augment({toCommonHTML:function(s,r){if(r==null){r={}}var t=this.toString();if(r.remap){t=r.remap(t,r.remapchars)}this.CHTMLhandleText(s,t,r.variant||this.parent.CHTMLvariant)}});i.entity.Augment({toCommonHTML:function(s,r){if(r==null){r={}}var t=this.toString();if(r.remapchars){t=r.remap(t,r.remapchars)}this.CHTMLhandleText(s,t,r.variant||this.parent.CHTMLvariant)}});i.math.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w);if(this.CHTML.w<0){w.parentNode.style.width="0px";w.parentNode.style.marginRight=h.Em(this.CHTML.w)}var u=this.Get("alttext");if(u&&!w.getAttribute("aria-label")){w.setAttribute("aria-label",u)}if(this.CHTML.pwidth){w.parentNode.style.minWidth=this.CHTML.mwidth||h.Em(this.CHTML.w);w.parentNode.className="mjx-full-width "+w.parentNode.className;w.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var t=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(t.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){t.indentalign=t.indentalignfirst}if(t.indentalign===i.INDENTALIGN.AUTO){t.indentalign=o.displayAlign}if(t.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){t.indentshift=t.indentshiftfirst}if(t.indentshift==="auto"){t.indentshift="0"}var s=this.CHTMLlength2em(t.indentshift,h.cwidth);if(o.displayIndent!=="0"){var r=this.CHTMLlength2em(o.displayIndent,h.cwidth);s+=(t.indentalign===i.INDENTALIGN.RIGHT?-r:r)}var v=w.parentNode.parentNode.style;w.parentNode.style.textAlign=v.textAlign=t.indentalign;if(s){s*=h.em/h.outerEm;c.Insert(v,({left:{marginLeft:h.Em(s)},right:{marginRight:h.Em(-s)},center:{marginLeft:h.Em(s),marginRight:h.Em(-s)}})[t.indentalign])}}}return w}});i.mi.Augment({toCommonHTML:function(r){r=this.CHTMLdefaultNode(r);var t=this.CHTML,s=this.data.join("");if(t.skew!=null&&s.length!==1){delete t.skew}if(t.r>t.w&&s.length===1&&!this.CHTMLvariant.noIC){t.ic=t.r-t.w;t.w=t.r;r.lastChild.style.paddingRight=h.Em(t.ic)}return r}});i.mn.Augment({CHTMLremapMinus:function(r){return r.replace(/^-/,"\u2212")},toCommonHTML:function(r){r=this.CHTMLdefaultNode(r,{childOptions:{remap:this.CHTMLremapMinus}});var t=this.CHTML,s=this.data.join("");if(t.skew!=null&&s.length!==1){delete t.skew}if(t.r>t.w&&s.length===1&&!this.CHTMLvariant.noIC){t.ic=t.r-t.w;t.w=t.r;r.lastChild.style.paddingRight=h.Em(t.ic)}return r}});i.mo.Augment({toCommonHTML:function(u){u=this.CHTMLcreateNode(u);this.CHTMLhandleStyle(u);this.CHTMLgetVariant();this.CHTMLhandleScale(u);h.BBOX.empty(this.CHTML);var s=this.getValues("displaystyle","largeop");s.variant=this.CHTMLvariant;s.text=this.data.join("");if(s.text==""){if(this.fence){u.style.width=h.Em(h.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(s);this.CHTMLadjustVariant(s);for(var t=0,r=this.data.length;t0){if(!this.hasValue("lspace")){s.lspace=0.15}if(!this.hasValue("rspace")){s.rspace=0.15}}var r=this,t=this.Parent();while(t&&t.isEmbellished()&&t.Core()===r){r=t;t=t.Parent();u=r.CHTMLnodeElement()}if(s.lspace){u.style.paddingLeft=h.Em(s.lspace)}if(s.rspace){u.style.paddingRight=h.Em(s.rspace)}this.CHTML.L=s.lspace;this.CHTML.R=s.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(t){var s=this.CoreParent();t.parent=s;if(t.text.length===1&&s&&s.isa(i.munderover)&&this.CoreText(s.data[s.base]).length===1){var u=s.data[s.over],r=s.data[s.under];if(u&&this===u.CoreMO()&&s.Get("accent")){t.remapchars=h.FONTDATA.REMAPACCENT}else{if(r&&this===r.CoreMO()&&s.Get("accentunder")){t.remapchars=h.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(s){var r=s.parent,t=(r&&r.isa(i.msubsup)&&this!==r.data[r.base]);if(s.largeop){s.mathvariant=(s.displaystyle?"-largeOp":"-smallOp")}if(t){s.remapchars=this.remapChars;if(s.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(r){r=r.firstChild;var s=h.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});r.insertBefore(s,r.firstChild)},CHTMLcenterOp:function(r){var t=this.CHTML;var s=(t.h-t.d)/2-h.TEX.axis_height;if(Math.abs(s)>0.001){r.style.verticalAlign=h.Em(-s)}t.h-=s;t.d+=s;if(t.r>t.w){t.ic=t.r-t.w;t.w=t.r;r.style.paddingRight=h.Em(t.ic)}},CHTMLcanStretch:function(v,t,u){if(!this.Get("stretchy")){return false}var w=this.data.join("");if(w.length!==1){return false}var s={text:w};this.CHTMLadjustAccent(s);if(s.remapchars){w=s.remapchars[w]||w}w=h.FONTDATA.DELIMITERS[w.charCodeAt(0)];var r=(w&&w.dir===v.substr(0,1));if(r){r=(this.CHTML.h!==t||this.CHTML.d!==u||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(r){this.CHTML.stretch=true}}return r},CHTMLstretchV:function(u,x){var v=this.CHTMLnodeElement(),w=this.CHTML;var s=this.getValues("symmetric","maxsize","minsize");var t,r=h.TEX.axis_height;if(s.symmetric){t=2*Math.max(u-r,x+r)}else{t=u+x}s.maxsize=this.CHTMLlength2em(s.maxsize,w.h+w.d);s.minsize=this.CHTMLlength2em(s.minsize,w.h+w.d);t=Math.max(s.minsize,Math.min(s.maxsize,t));if(t!==w.sH){if(t!=s.minsize){t=[Math.max(t*h.TEX.delimiterfactor/1000,t-h.TEX.delimitershortfall),t]}while(v.firstChild){v.removeChild(v.firstChild)}this.CHTML=w=h.createDelimiter(v,this.data.join("").charCodeAt(0),t,w);w.sH=(t instanceof Array?t[1]:t);if(s.symmetric){t=(w.h+w.d)/2+r}else{t=(w.h+w.d)*u/(u+x)}t-=w.h;if(Math.abs(t)>0.05){v.style.verticalAlign=h.Em(t);w.h+=t;w.d-=t;w.t+=t;w.b-=t}}return this.CHTML},CHTMLstretchH:function(t,r){var u=this.CHTML;var s=this.getValues("maxsize","minsize","mathvariant","fontweight");if((s.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(s.fontweight)>=600)&&!this.Get("mathvariant",true)){s.mathvariant=i.VARIANT.BOLD}s.maxsize=this.CHTMLlength2em(s.maxsize,u.w);s.minsize=this.CHTMLlength2em(s.minsize,u.w);r=Math.max(s.minsize,Math.min(s.maxsize,r));if(r!==u.sW){while(t.firstChild){t.removeChild(t.firstChild)}this.CHTML=u=h.createDelimiter(t,this.data.join("").charCodeAt(0),r,u,s.mathvariant);u.sW=r}return this.CHTML}});i.mtext.Augment({CHTMLgetVariant:function(){if(h.config.mtextFontInherit||this.Parent().type==="merror"){var t=(h.config.scale/100)/h.scale;var s={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:t,style:{"font-size":h.Percent(t)}};var r=this.Get("mathvariant");if(r.match(/bold/)){s.style["font-weight"]="bold"}if(r.match(/italic|-tex-mathit/)){s.style["font-style"]="italic"}if(r==="monospace"){s.className+=" 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v=this.CHTML;v.w=v.r=r;v.h=v.t=t;v.d=v.b=x;v.l=0;if(r<0){u.style.marginRight=h.Em(r);r=0}u.style.width=h.Em(r);u.style.height=h.Em(Math.max(0,t+x));if(x){u.style.verticalAlign=h.Em(-x)}this.CHTMLhandleBBox(u);this.CHTMLhandleColor(u);return u}});i.mpadded.Augment({toCommonHTML:function(s,E){var r;if(E&&E.stretch){s=s.firstChild;r=s.firstChild}else{s=this.CHTMLdefaultNode(s,{childNodes:"mjx-box",forceChild:true});r=s.firstChild;s=h.addElement(s,"mjx-block");s.appendChild(r);h.addElement(s,"mjx-strut")}var v=this.CHTMLbboxFor(0);var C=this.getValues("width","height","depth","lspace","voffset");var A=0,z=0,B=v.w,t=v.h,u=v.d;r.style.width=0;r.style.margin=h.Em(-t)+" 0 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r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var 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n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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"[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.0",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(b,a){return a+"#"+escape(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); 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t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xE.w){d.createBlank(v,E.rw-E.w+0.1)}}if(!this.msieClipRectBug&&!E.noclip&&!p){var C=3/this.em;var B=(E.H==null?E.h:E.H),n=(E.D==null?E.d:E.D);var F=z-B-C,q=z+n+C,o=-1000,m=E.rw+1000;v.style.clip="rect("+this.Em(F)+" "+this.Em(m)+" "+this.Em(q)+" "+this.Em(o)+")"}}v.style.top=this.Em(-s-z);v.style.left=this.Em(u+G);if(E&&A){if(E.H!=null&&(A.H==null||E.H+s>A.H)){A.H=E.H+s}if(E.D!=null&&(A.D==null||E.D-s>A.D)){A.D=E.D-s}if(E.h+s>A.h){A.h=E.h+s}if(E.d-s>A.d){A.d=E.d-s}if(A.H!=null&&A.H<=A.h){delete A.H}if(A.D!=null&&A.D<=A.d){delete A.D}if(E.w+u>A.w){A.w=E.w+u;if(A.width==null){w.style.width=this.Em(A.w)}}if(E.rw+u>A.rw){A.rw=E.rw+u}if(E.lw+u=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(t.length==1&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||!this.msieAccentBug||s.length){return s+r.c}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax 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s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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-MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.0",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(b,a){return a+"#"+escape(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); 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s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var 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n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return 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C=Math.min(Math.ceil((w-I)/(F*t)),this.maxStretchyParts);if(O.fullExtenders){w=C*F*t+I}else{t=(w-I)/(F*C)}L=x.d+x.a-K/2;u.style.margin=u.style.padding="";u.style.lineHeight=h.Em(t);u.style.marginBottom=h.Em(L-q/2/F);u.style.marginTop=h.Em(-L-q/2/F);var J=u.textContent,y="\n"+J;while(--C>0){J+=y}u.textContent=J;D.appendChild(u);if(O.mid){D.appendChild(N);D.appendChild(u.cloneNode(true))}}else{L=(w-I-q)/F;A.style.marginBottom=h.Em(L+parseFloat(A.style.marginBottom||"0"));if(O.mid){D.appendChild(N)}z.style.marginTop=h.Em(L+parseFloat(z.style.marginTop||"0"))}D.appendChild(z);var r=h.BBOX({w:Math.max(G.w,x.w,s.w,E.w),l:Math.min(G.l,x.l,s.l,E.l),r:Math.max(G.r,x.r,s.r,E.r),h:w-s.d,d:s.d,t:w-s.d,b:s.d});r.offset=0.5*r.w;if(v){r.scale=v.scale;r.rscale=v.rscale}return r},extendDelimiterH:function(E,r,O,u,C){E=h.addElement(E,"mjx-delim-h");var M=h.Element("span");var s,L,N,t,J,B,v,F,y,G=1;B=this.createChar(M,(O.left||O.rep),1,C);s=M.removeChild(M.firstChild);v=this.createChar(M,(O.right||O.rep),1,C);L=M.removeChild(M.firstChild);y=this.createChar(M,O.rep,1,C);t=M.removeChild(M.firstChild);s.style.marginLeft=h.Em(-B.l);L.style.marginRight=h.Em(v.r-v.w);E.appendChild(s);var P=h.BBOX.zero();P.h=Math.max(B.h,v.h,y.h);P.d=Math.max(B.D||B.d,v.D||v.d,y.D||y.d);var x=(B.r-B.l)+(v.r-v.l)-q;if(O.mid){F=this.createChar(M,O.mid,1,C);N=M.removeChild(M.firstChild);N.style.marginleft=h.Em(-F.l);N.style.marginRight=h.Em(F.r-F.w);x+=F.r-F.l+q;G=2;if(F.h>P.h){P.h=F.h}if(F.d>P.d){P.d=F.d}}if(O.min&&rx){var A=y.r-y.l,I=A-q;var D=Math.min(Math.ceil((r-x)/(G*I)),this.maxStretchyParts);if(O.fullExtenders){r=D*G*I+x}else{I=(r-x)/(G*D)}var K=(A-I+q/G)/2;t.style.marginLeft=h.Em(-y.l-K);t.style.marginRight=h.Em(y.r-y.w+K);t.style.letterSpacing=h.Em(-(y.w-I));s.style.marginRight=h.Em(B.r-B.w);L.style.marginleft=h.Em(-v.l);var 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this.D}}if(scale*s.d-t>this.d){this.d=scale*s.d-t}if(t+scale*s.t>this.t){this.t=t+scale*s.t}if(scale*s.b-t>this.b){this.b=scale*s.b-t}},append:function(s){scale=s.rscale;var r=this.w;if(r+scale*s.r>this.r){this.r=r+scale*s.r}if(r+scale*s.lthis.h){this.h=scale*s.h}if(s.D&&(this.D==null||scale*s.D>this.D)&&scale*s.D>this.d){this.D=scale*s.D}else{if(s.D==null&&this.D){delete this.D}}if(scale*s.d>this.d){this.d=scale*s.d}if(scale*s.t>this.t){this.t=scale*s.t}if(scale*s.b>this.b){this.b=scale*s.b}},updateFrom:function(r){this.h=r.h;this.d=r.d;this.w=r.w;this.r=r.r;this.l=r.l;this.t=r.t;this.b=r.b;if(r.pwidth){this.pwidth=r.pwidth}if(r.D){this.D=r.D}else{delete this.D}},adjust:function(s,r,u,t){this[r]+=h.length2em(s,1,this.scale);if(t==null){if(this[r]>this[u]){this[u]=this[r]}}else{if(this[u]y.r){y.r=y.w}if(s.h>y.h){y.h=s.h}if(s.d>y.d){y.d=s.d}if(s.t>y.t){y.t=s.t}if(s.b>y.b){y.b=s.b}}}},CHTMLstretchChildH:function(u,r,v){var x=this.data[u];if(x){var y=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Horizontal",r))){var s=t.w;t=x.CHTMLstretchH(this.CHTMLchildNode(v,u),r);y.w+=t.w-s;if(y.w>y.r){y.r=y.w}if(t.h>y.h){y.h=t.h}if(t.d>y.d){y.d=t.d}if(t.t>y.t){y.t=t.t}if(t.b>y.b){y.b=t.b}}}},CHTMLcanStretch:function(v,t,u){var s=false;if(this.isEmbellished()){var r=this.Core();if(r&&r!==this){s=r.CHTMLcanStretch(v,t,u)}}this.CHTML.stretch=s;return s},CHTMLstretchV:function(r,s){this.CHTML.updateFrom(this.Core().CHTMLstretchV(r,s));return this.CHTML},CHTMLstretchH:function(s,r){this.CHTML.updateFrom(this.CHTMLstretchCoreH(s,r));return this.CHTML},CHTMLstretchCoreH:function(s,r){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(s),r)},CHTMLcreateNode:function(r){if(!this.CHTML){this.CHTML={}}this.CHTML=h.BBOX.zero();if(this.href){r=h.addElement(r,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=h.GetID()}var s=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+h.idPostfix;return 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s=r.mathvariant;if(this.variantForm){s="-TeX-variant"}if(r.family&&!r.hasVariant){if(!r.weight&&r.mathvariant.match(/bold/)){r.weight="bold"}if(!r.style&&r.mathvariant.match(/italic/)){r.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":r.family,"font-weight":r.weight||"normal","font-style":r.style||"normal"}};return}if(r.weight==="bold"){s={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[s]||s}else{if(r.weight==="normal"){s={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[s]||s}}if(r.style==="italic"){s={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[s]||s}else{if(r.style==="normal"){s={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[s]||s}}this.CHTMLvariant=h.FONTDATA.VARIANT[s]||h.FONTDATA.VARIANT[i.VARIANT.NORMAL]},CHTMLbboxFor:function(r){if(this.data[r]&&this.data[r].CHTML){return this.data[r].CHTML}return h.BBOX.zero()},CHTMLdrawBBox:function(s,t){if(!t){t=this.CHTML}var r=h.Element("mjx-box",{style:{opacity:0.25,"margin-left":h.Em(-(t.w+(t.R||0)))}},[["mjx-box",{style:{height:h.Em(t.h),width:h.Em(t.w),"background-color":"red"}}],["mjx-box",{style:{height:h.Em(t.d),width:h.Em(t.w),"margin-left":h.Em(-t.w),"vertical-align":h.Em(-t.d),"background-color":"green"}}]]);if(s.nextSibling){s.parentNode.insertBefore(r,s.nextSibling)}else{s.parentNode.appendChild(r)}},CHTMLnotEmpty:function(r){while(r&&r.data.length<2&&(r.type==="mrow"||r.type==="texatom")){r=r.data[0]}return !!r}},{CHTMLautoload:function(){var r=h.autoloadDir+"/"+this.type+".js";c.RestartAfter(j.Require(r))},CHTMLautoloadFile:function(r){var s=h.autoloadDir+"/"+r+".js";c.RestartAfter(j.Require(s))},CHTMLstretchV:function(r,s){this.Core().CHTMLstretchV(r,s);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(s,r){this.CHTMLstretchCoreH(s,r);this.toCommonHTML(s,{stretch:true});return this.CHTML}});i.chars.Augment({toCommonHTML:function(s,r){if(r==null){r={}}var t=this.toString();if(r.remap){t=r.remap(t,r.remapchars)}this.CHTMLhandleText(s,t,r.variant||this.parent.CHTMLvariant)}});i.entity.Augment({toCommonHTML:function(s,r){if(r==null){r={}}var t=this.toString();if(r.remapchars){t=r.remap(t,r.remapchars)}this.CHTMLhandleText(s,t,r.variant||this.parent.CHTMLvariant)}});i.math.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w);if(this.CHTML.w<0){w.parentNode.style.width="0px";w.parentNode.style.marginRight=h.Em(this.CHTML.w)}var u=this.Get("alttext");if(u&&!w.getAttribute("aria-label")){w.setAttribute("aria-label",u)}if(this.CHTML.pwidth){w.parentNode.style.minWidth=this.CHTML.mwidth||h.Em(this.CHTML.w);w.parentNode.className="mjx-full-width 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t=this.CHTML,s=this.data.join("");if(t.skew!=null&&s.length!==1){delete t.skew}if(t.r>t.w&&s.length===1&&!this.CHTMLvariant.noIC){t.ic=t.r-t.w;t.w=t.r;r.lastChild.style.paddingRight=h.Em(t.ic)}return r}});i.mn.Augment({CHTMLremapMinus:function(r){return r.replace(/^-/,"\u2212")},toCommonHTML:function(r){r=this.CHTMLdefaultNode(r,{childOptions:{remap:this.CHTMLremapMinus}});var t=this.CHTML,s=this.data.join("");if(t.skew!=null&&s.length!==1){delete t.skew}if(t.r>t.w&&s.length===1&&!this.CHTMLvariant.noIC){t.ic=t.r-t.w;t.w=t.r;r.lastChild.style.paddingRight=h.Em(t.ic)}return r}});i.mo.Augment({toCommonHTML:function(u){u=this.CHTMLcreateNode(u);this.CHTMLhandleStyle(u);this.CHTMLgetVariant();this.CHTMLhandleScale(u);h.BBOX.empty(this.CHTML);var s=this.getValues("displaystyle","largeop");s.variant=this.CHTMLvariant;s.text=this.data.join("");if(s.text==""){if(this.fence){u.style.width=h.Em(h.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(s);this.CHTMLadjustVariant(s);for(var t=0,r=this.data.length;t0){if(!this.hasValue("lspace")){s.lspace=0.15}if(!this.hasValue("rspace")){s.rspace=0.15}}var r=this,t=this.Parent();while(t&&t.isEmbellished()&&t.Core()===r){r=t;t=t.Parent();u=r.CHTMLnodeElement()}if(s.lspace){u.style.paddingLeft=h.Em(s.lspace)}if(s.rspace){u.style.paddingRight=h.Em(s.rspace)}this.CHTML.L=s.lspace;this.CHTML.R=s.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(t){var s=this.CoreParent();t.parent=s;if(t.text.length===1&&s&&s.isa(i.munderover)&&this.CoreText(s.data[s.base]).length===1){var u=s.data[s.over],r=s.data[s.under];if(u&&this===u.CoreMO()&&s.Get("accent")){t.remapchars=h.FONTDATA.REMAPACCENT}else{if(r&&this===r.CoreMO()&&s.Get("accentunder")){t.remapchars=h.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(s){var r=s.parent,t=(r&&r.isa(i.msubsup)&&this!==r.data[r.base]);if(s.largeop){s.mathvariant=(s.displaystyle?"-largeOp":"-smallOp")}if(t){s.remapchars=this.remapChars;if(s.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(r){r=r.firstChild;var s=h.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});r.insertBefore(s,r.firstChild)},CHTMLcenterOp:function(r){var t=this.CHTML;var s=(t.h-t.d)/2-h.TEX.axis_height;if(Math.abs(s)>0.001){r.style.verticalAlign=h.Em(-s)}t.h-=s;t.d+=s;if(t.r>t.w){t.ic=t.r-t.w;t.w=t.r;r.style.paddingRight=h.Em(t.ic)}},CHTMLcanStretch:function(v,t,u){if(!this.Get("stretchy")){return false}var w=this.data.join("");if(w.length!==1){return false}var s={text:w};this.CHTMLadjustAccent(s);if(s.remapchars){w=s.remapchars[w]||w}w=h.FONTDATA.DELIMITERS[w.charCodeAt(0)];var r=(w&&w.dir===v.substr(0,1));if(r){r=(this.CHTML.h!==t||this.CHTML.d!==u||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(r){this.CHTML.stretch=true}}return r},CHTMLstretchV:function(u,x){var v=this.CHTMLnodeElement(),w=this.CHTML;var s=this.getValues("symmetric","maxsize","minsize");var t,r=h.TEX.axis_height;if(s.symmetric){t=2*Math.max(u-r,x+r)}else{t=u+x}s.maxsize=this.CHTMLlength2em(s.maxsize,w.h+w.d);s.minsize=this.CHTMLlength2em(s.minsize,w.h+w.d);t=Math.max(s.minsize,Math.min(s.maxsize,t));if(t!==w.sH){if(t!=s.minsize){t=[Math.max(t*h.TEX.delimiterfactor/1000,t-h.TEX.delimitershortfall),t]}while(v.firstChild){v.removeChild(v.firstChild)}this.CHTML=w=h.createDelimiter(v,this.data.join("").charCodeAt(0),t,w);w.sH=(t instanceof Array?t[1]:t);if(s.symmetric){t=(w.h+w.d)/2+r}else{t=(w.h+w.d)*u/(u+x)}t-=w.h;if(Math.abs(t)>0.05){v.style.verticalAlign=h.Em(t);w.h+=t;w.d-=t;w.t+=t;w.b-=t}}return this.CHTML},CHTMLstretchH:function(t,r){var u=this.CHTML;var s=this.getValues("maxsize","minsize","mathvariant","fontweight");if((s.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(s.fontweight)>=600)&&!this.Get("mathvariant",true)){s.mathvariant=i.VARIANT.BOLD}s.maxsize=this.CHTMLlength2em(s.maxsize,u.w);s.minsize=this.CHTMLlength2em(s.minsize,u.w);r=Math.max(s.minsize,Math.min(s.maxsize,r));if(r!==u.sW){while(t.firstChild){t.removeChild(t.firstChild)}this.CHTML=u=h.createDelimiter(t,this.data.join("").charCodeAt(0),r,u,s.mathvariant);u.sW=r}return this.CHTML}});i.mtext.Augment({CHTMLgetVariant:function(){if(h.config.mtextFontInherit||this.Parent().type==="merror"){var t=(h.config.scale/100)/h.scale;var s={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:t,style:{"font-size":h.Percent(t)}};var r=this.Get("mathvariant");if(r.match(/bold/)){s.style["font-weight"]="bold"}if(r.match(/italic|-tex-mathit/)){s.style["font-style"]="italic"}if(r==="monospace"){s.className+=" 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v=this.CHTML;v.w=v.r=r;v.h=v.t=t;v.d=v.b=x;v.l=0;if(r<0){u.style.marginRight=h.Em(r);r=0}u.style.width=h.Em(r);u.style.height=h.Em(Math.max(0,t+x));if(x){u.style.verticalAlign=h.Em(-x)}this.CHTMLhandleBBox(u);this.CHTMLhandleColor(u);return u}});i.mpadded.Augment({toCommonHTML:function(s,E){var r;if(E&&E.stretch){s=s.firstChild;r=s.firstChild}else{s=this.CHTMLdefaultNode(s,{childNodes:"mjx-box",forceChild:true});r=s.firstChild;s=h.addElement(s,"mjx-block");s.appendChild(r);h.addElement(s,"mjx-strut")}var v=this.CHTMLbboxFor(0);var C=this.getValues("width","height","depth","lspace","voffset");var A=0,z=0,B=v.w,t=v.h,u=v.d;r.style.width=0;r.style.margin=h.Em(-t)+" 0 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z=t,C=0;if(E.ic){C=1.3*E.ic+0.05}if(this.data[this.over]){z=this.CHTMLaddOverscript(y,w,D,C,t,s)}if(this.data[this.under]){this.CHTMLaddUnderscript(A,w,D,C,v,z,s)}else{if(!s){v.appendChild(z)}}this.CHTMLplaceBoxes(t,A,y,D,w);return v},CHTMLgetBBoxes:function(z,v,u){var x,s=this.data.length,y,t=-n,r=t;for(x=0;xt){t=r}}if(t===-n){t=r}for(x=0;xC.w){C.skew+=(C.w-(z.x+t*z.w))/2}}}else{x=h.TEX.big_op_spacing1;w=h.TEX.big_op_spacing3;u=Math.max(x,w-Math.max(0,t*z.d))}z.x+=D/2;z.y=C.h+u+v+t*z.d;if(u){A.style.paddingBottom=h.Em(u/t)}if(v){A.style.paddingTop=h.Em(v/t)}return B},CHTMLaddUnderscript:function(A,y,D,C,s,z,r){var B=this.CHTML;var x,w,v=h.TEX.big_op_spacing5,u;var E=y[this.under],t=E.rscale;if(!r){h.addElement(s,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);s.firstChild.firstChild.firstChild.appendChild(z);s.firstChild.lastChild.appendChild(A)}if(E.D){E.d=E.D}if(E.d<0){A.firstChild.style.verticalAlign="top";s.firstChild.style.marginBottom=h.Em(E.d)}if(D.accentunder){u=2*h.TEX.rule_thickness;v=0}else{x=h.TEX.big_op_spacing2;w=h.TEX.big_op_spacing4;u=Math.max(x,w-t*E.h)}E.x=-C/2;E.y=-(B.d+u+v+t*E.h);if(u){A.style.paddingTop=h.Em(u/t)}if(v){A.style.paddingBottom=h.Em(v/t)}},CHTMLplaceBoxes:function(r,A,z,D,y){var s=this.CHTML.w,x,u=y.length,v;var C=h.BBOX.zero();C.scale=this.CHTML.scale;C.rscale=this.CHTML.rscale;y[this.base].x=y[this.base].y=0;var 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w},CHTMLstretchV:function(r,s){this.CHTML.updateFrom(this.Core().CHTMLstretchV(r,s));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(s,r){this.CHTML.updateFrom(this.CHTMLstretchCoreH(s,r));this.toCommonHTML(s,{stretch:true});return this.CHTML}});i.semantics.Augment({toCommonHTML:function(r){r=this.CHTMLcreateNode(r);if(this.data[0]){this.data[0].toCommonHTML(r);this.CHTML.updateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(r)}return r}});i.annotation.Augment({toCommonHTML:function(r){return 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n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var 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r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 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n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 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MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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Copyright (c) 2010-2016 The MathJax Consortium - * - * Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Hub.Config({delayJaxRegistration: true}); - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/TeX/config.js", - "[MathJax]/jax/input/MathML/config.js", - "[MathJax]/jax/input/AsciiMath/config.js", - "[MathJax]/jax/output/HTML-CSS/config.js", - "[MathJax]/jax/output/NativeMML/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/config/MMLorHTML.js", - "[MathJax]/extensions/tex2jax.js", - "[MathJax]/extensions/mml2jax.js", - "[MathJax]/extensions/asciimath2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - 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r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return 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t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xE.w){d.createBlank(v,E.rw-E.w+0.1)}}if(!this.msieClipRectBug&&!E.noclip&&!p){var C=3/this.em;var B=(E.H==null?E.h:E.H),n=(E.D==null?E.d:E.D);var F=z-B-C,q=z+n+C,o=-1000,m=E.rw+1000;v.style.clip="rect("+this.Em(F)+" "+this.Em(m)+" "+this.Em(q)+" 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s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(t.length==1&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||!this.msieAccentBug||s.length){return s+r.c}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts 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n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var 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r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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2010-2016 The MathJax Consortium - * - * Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/TeX/config.js", - "[MathJax]/jax/input/MathML/config.js", - "[MathJax]/jax/input/AsciiMath/config.js", - "[MathJax]/jax/output/SVG/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/tex2jax.js", - "[MathJax]/extensions/mml2jax.js", - "[MathJax]/extensions/asciimath2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/extensions/TeX/noErrors.js", - "[MathJax]/extensions/TeX/noUndefined.js", - "[MathJax]/jax/input/TeX/jax.js", - "[MathJax]/extensions/TeX/AMSmath.js", - "[MathJax]/extensions/TeX/AMSsymbols.js", - "[MathJax]/jax/input/MathML/jax.js", - "[MathJax]/jax/input/AsciiMath/jax.js", - "[MathJax]/jax/output/SVG/jax.js", - "[MathJax]/jax/output/SVG/autoload/mtable.js", - "[MathJax]/jax/output/PreviewHTML/jax.js", - "[MathJax]/extensions/fast-preview.js", - "[MathJax]/extensions/AssistiveMML.js" -); - -MathJax.Hub.Config({ - extensions: ['[Contrib]/a11y/accessibility-menu.js'] -}); - -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.0",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(b,a){return 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r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var 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n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return 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r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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Consortium - * - * Part of the MathJax library. - * See http://www.mathjax.org for details. - * - * Licensed under the Apache License, Version 2.0; - * you may not use this file except in compliance with the License. - * - * http://www.apache.org/licenses/LICENSE-2.0 - */ - -MathJax.Ajax.Preloading( - "[MathJax]/jax/input/TeX/config.js", - "[MathJax]/jax/input/MathML/config.js", - "[MathJax]/jax/input/AsciiMath/config.js", - "[MathJax]/jax/output/SVG/config.js", - "[MathJax]/jax/output/PreviewHTML/config.js", - "[MathJax]/extensions/tex2jax.js", - "[MathJax]/extensions/mml2jax.js", - "[MathJax]/extensions/asciimath2jax.js", - "[MathJax]/extensions/MathEvents.js", - "[MathJax]/extensions/MathZoom.js", - "[MathJax]/extensions/MathMenu.js", - "[MathJax]/jax/element/mml/jax.js", - "[MathJax]/extensions/toMathML.js", - "[MathJax]/extensions/TeX/noErrors.js", - "[MathJax]/extensions/TeX/noUndefined.js", - "[MathJax]/jax/input/TeX/jax.js", - "[MathJax]/extensions/TeX/AMSmath.js", - 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q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" 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See comments below. - * - * --------------------------------------------------------------------- - * - * Copyright (c) 2009-2016 The MathJax Consortium - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -/* - * This file lists most, but not all, of the options that can be set for - * MathJax and its various components. Some additional options are - * available, however, and are listed in the various links at: - * - * http://www.mathjax.org/resources/docs/?configuration.html#configuration-options-by-component - * - * You can add these to the configuration object below if you - * want to change them from their default values. - */ - -MathJax.Hub.Config({ - - // - // A comma-separated list of configuration files to load - // when MathJax starts up. E.g., to define local macros, etc. - // The default directory is the MathJax/config directory. - // - // Example: config: ["local/local.js"], - // Example: config: ["local/local.js","MMLtoHTML.js"], - // - config: [], - - // - // A comma-separated list of CSS stylesheet files to be loaded - // when MathJax starts up. The default directory is the - // MathJax/config directory. - // - // Example: styleSheets: ["MathJax.css"], - // - styleSheets: [], - - // - // Styles to be defined dynamically at startup time. - // - // Example: - // styles: { - // ".MathJax_Preview": { - // color: "#888" - // } - // }, - // - styles: {}, - - // - // A comma-separated list of input and output jax to initialize at startup. - // Their main code is loaded only when they are actually used, so it is not - // inefficient to include jax that may not actually be used on the page. These - // are found in the MathJax/jax directory. The choices include - // - // input/TeX - // input/MathML - // input/AsciiMath - // - // output/HTML-CSS - // output/NativeMML - // output/SVG - // - // If you change the input jax, you may need to include the appropriate - // preprocessor in the extensions array below. - // - jax: ["input/TeX", "output/HTML-CSS"], - - // - // A comma-separated list of extensions to load at startup. The default - // directory is MathJax/extensions. - // - // Example: extensions: ["tex2jax.js","TeX/AMSmath.js","TeX/AMSsymbols.js"], - // - // You may wish to include "mml2jax.js" if you are using "input/MathML" in the - // jax array above, and "asciimath2jax.js" if you using "input/AsciiMath". - // Include "jsmath2jax.js" if you are converting from using jsMath to MathJax. - // - extensions: ["tex2jax.js"], - - // - // Patterns to remove from before and after math script tags. If you are not - // using one of the preprocessors (e.g., tex2jax), you need to insert something - // extra into your HTML file in order to avoid a bug in Internet Explorer. IE - // removes spaces from the DOM that it thinks are redundent, and since a SCRIPT - // tag usually doesn't add content to the page, if there is a space before and after - // a MathJax SCRIPT tag, IE will remove the first space. When MathJax inserts - // the typeset mathematics, this means there will be no space before it and the - // preceeding text. In order to avoid this, you should include some "guard characters" - // before or after the math SCRIPT tag; define the patterns you want to use below. - // Note that these are used as regular expressions, so you will need to quote - // special characters. Furthermore, since they are javascript strings, you must - // quote javascript special characters as well. So to obtain a backslash, you must - // use \\ (doubled for javascript). For example, "\\[" is the pattern \[ in the - // regular expression. That means that if you want an actual backslash in your - // guard characters, you need to use "\\\\" in order to get \\ in the regular - // expression, and \ in the actual text. If both preJax and postJax are defined, - // both must be present in order to be removed. - // - // See also the preRemoveClass comments below. - // - // Example: - // preJax: "\\\\\\\\", // makes a double backslash the preJax text - // or - // preJax: "\\[\\[", // jax scripts must be enclosed in double brackets - // postJax: "\\]\\]", - // - preJax: null, - postJax: null, - - // - // The CSS class for a math preview to be removed preceeding a MathJax - // SCRIPT tag. If the tag just before the MathJax SCRIPT tag is of this - // class, its contents are removed when MathJax processes the SCRIPT - // tag. This allows you to include a math preview in a form that will - // be displayed prior to MathJax performing its typesetting. It also - // avoids the Internet Explorer space-removal bug, and can be used in - // place of preJax and postJax if that is more convenient. - // - // For example - // - // [math] - // - // would display "[math]" in place of the math until MathJax is able to typeset it. - // - preRemoveClass: "MathJax_Preview", - - // - // This value controls whether the "Processing Math: nn%" message are displayed - // in the lower left-hand corner. Set to "false" to prevent those messages (though - // file loading and other messages will still be shown). - // - showProcessingMessages: true, - - // - // This value controls the verbosity of the messages in the lower left-hand corner. - // Set it to "none" to eliminate all messages, or set it to "simple" to show - // "Loading..." and "Processing..." rather than showing the full file name and the - // percentage of the mathematics processed. - // - messageStyle: "normal", - - // - // These two parameters control the alignment and shifting of displayed equations. - // The first can be "left", "center", or "right", and determines the alignment of - // displayed equations. When the alignment is not "center", the second determines - // an indentation from the left or right side for the displayed equations. When - // the alignment is "center", the indent allows you to shift the center to the right - // or left (negative is left). - // - displayAlign: "center", - displayIndent: "0", - - // - // Normally MathJax will perform its starup commands (loading of - // configuration, styles, jax, and so on) as soon as it can. If you - // expect to be doing additional configuration on the page, however, you - // may want to have it wait until the page's onload hander is called. If so, - // set this to "onload". - // - delayStartupUntil: "none", - - // - // Normally MathJax will typeset the mathematics on the page as soon as - // the page is loaded. If you want to delay that process, in which case - // you will need to call MathJax.Hub.Typeset() yourself by hand, set - // this value to true. - // - skipStartupTypeset: false, - - // - // A list of element ID's that are the ones to process for mathematics - // when any of the Hub typesetting calls (Typeset, Process, Update, etc) - // are called with no element specified. This lets you restrict the - // processing to particular containers rather than scanning the entire - // document for mathematics. If none are supplied, the entire document - // is processed. - // - elements: [], - - // - // Since typesetting usually changes the vertical dimensions of the - // page, if the URL contains an anchor position you may no longer be - // positioned at the correct position on the page, so MathJax can - // reposition to that location after it completes its initial - // typesetting of the page. This value controls whether MathJax will - // reposition the browser to the #hash location from the page URL after - // typesetting for the page. - // - positionToHash: true, - - // - // These control whether to attach the MathJax contextual menu to the - // expressions typeset by MathJax. Since the code for handling - // MathPlayer in Internet Explorer is somewhat delicate, it is - // controlled separately via (showMathMenuMSIE). The latter is now - // deprecated in favor of the MathJax contextual menu settings for - // MathPlayer. - // - // These values used to be listed in the separate output jax, but - // have been moved to this more central location since they are shared - // by all output jax. - // - showMathMenu: true, - showMathMenuMSIE: true, - - - // - // The default settings for the MathJax contextual menu (overridden by - // the MathJax cookie when users change the menu settings). - // - menuSettings: { - zoom: "None", // when to do MathZoom - CTRL: false, // require CTRL for MathZoom? - ALT: false, // require Alt or Option? - CMD: false, // require CMD? - Shift: false, // require Shift? - discoverable: false, // make math menu discoverable on hover? - zscale: "200%", // the scaling factor for MathZoom - renderer: null, // set when Jax are loaded - font: "Auto", // what font HTML-CSS should use - context: "MathJax", // or "Browser" for pass-through to browser menu - locale: null, // the language to use for messages - mpContext: false, // true means pass menu events to MathPlayer in IE - mpMouse: false, // true means pass mouse events to MathPlayer in IE - texHints: true, // include class names for TeXAtom elements - FastPreview: null, // use PreviewHTML output as preview? - assistiveMML: null, // include hidden MathML for screen readers? - inTabOrder: true, // set to true if math elements should be included in the tabindex - semantics: false // add semantics tag with original form in MathML output - }, - - // - // The message and style for when there is a processing error handling - // the mathematics (something has gone wrong with the input or output - // jax that prevents it from operating properly). - // - errorSettings: { - message: ["[",["MathProcessingError","Math Processing Error"],"]"], - style: {color: "#CC0000", "font-style":"italic"} // style for message - }, - - - //============================================================================ - // - // These parameters control the tex2jax preprocessor (when you have included - // "tex2jax.js" in the extensions list above). - // - tex2jax: { - - // - // The delimiters that surround in-line math expressions. The first in each - // pair is the initial delimiter and the second is the terminal delimiter. - // Comment out any that you don't want, but be sure there is no extra - // comma at the end of the last item in the list -- some browsers won't - // be able to handle that. - // - inlineMath: [ -// ['$','$'], // uncomment this for standard TeX math delimiters - ['\\(','\\)'] - ], - - // - // The delimiters that surround displayed math expressions. The first in each - // pair is the initial delimiter and the second is the terminal delimiter. - // Comment out any that you don't want, but be sure there is no extra - // comma at the end of the last item in the list -- some browsers won't - // be able to handle that. - // - displayMath: [ - ['$$','$$'], - ['\\[','\\]'] - ], - - // - // This value determines whether tex2jax requires braces to be - // balanced within math delimiters (which allows for nested dollar - // signs). Set to false to get pre-v2.0 compatibility. When true, - // - // $y = x^2 \hbox{ when $x > 2$}$. - // - // will be properly handled as a single expression. When false, it - // would be interpreted as two searpate expressions, each with - // improperly balanced braces. - // - balanceBraces: true, - - // - // This array lists the names of the tags whose contents should not be - // processed by tex2jax (other than to look for ignore/process classes - // as listed below). You can add to (or remove from) this list to prevent - // MathJax from processing mathematics in specific contexts. - // - skipTags: ["script","noscript","style","textarea","pre","code","annotation","annotation-xml"], - - // - // This is the class name used to mark elements whose contents should - // not be processed by tex2jax (other than to look for the - // processClass pattern below). Note that this is a regular - // expression, and so you need to be sure to quote any regexp special - // characters. The pattern is automatically preceeded by '(^| )(' and - // followed by ')( |$)', so your pattern will have to match full words - // in the class name. Assigning an element this class name will - // prevent `tex2jax` from processing its contents. - // - ignoreClass: "tex2jax_ignore", - - // - // This is the class name used to mark elements whose contents SHOULD - // be processed by tex2jax. This is used to turn on processing within - // tags that have been marked as ignored or skipped above. Note that - // this is a regular expression, and so you need to be sure to quote - // any regexp special characters. The pattern is automatically - // preceeded by '(^| )(' and followed by ')( |$)', so your pattern - // will have to match full words in the class name. Use this to - // restart processing within an element that has been marked as - // ignored above. - // - processClass: "tex2jax_process", - - // - // Set to "true" to allow \$ to produce a dollar without starting in-line - // math mode. If you uncomment the ['$','$'] line above, you should change - // this to true so that you can insert plain dollar signs into your documents - // - processEscapes: false, - - // - // Controls whether tex2jax processes LaTeX environments outside of math - // mode. Set to "false" to prevent processing of environments except within - // math mode. - // - processEnvironments: true, - - // - // Controls whether tex2jax processes \ref{...} commands outside - // of math mode. Set to "false" to prevent processing of \ref - // except within math mode. - // - processRefs: true, - - // - // Controls whether tex2jax inserts MathJax_Preview spans to make a - // preview available, and what preview to use, when it locates in-line - // and display mathetics on the page. The default is "TeX", which - // means use the TeX code as the preview (until it is processed by - // MathJax). Set to "none" to prevent the previews from being - // inserted (the math will simply disappear until it is typeset). Set - // to an array containing the description of an HTML snippet in order - // to use the same preview for all equations on the page (e.g., you - // could have it say "[math]" or load an image). - // - // E.g., preview: ["[math]"], - // or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]] - // - preview: "TeX" - - }, - - //============================================================================ - // - // These parameters control the asciimath2jax preprocessor (when you have included - // "asciimath2jax.js" in the extensions list above). - // - asciimath2jax: { - - // - // The delimiters that surround asciimath expressions. The first in each - // pair is the initial delimiter and the second is the terminal delimiter. - // - delimiters: [ - ['`','`'] - ], - - // - // This array lists the names of the tags whose contents should not be - // processed by asciimath2jax (other than to look for ignore/process classes - // as listed below). You can add to (or remove from) this list to prevent - // MathJax from processing mathematics in specific contexts. - // - skipTags: ["script","noscript","style","textarea","pre","code","annotation","annotation-xml"], - - // - // This is the class name used to mark elements whose contents should - // not be processed by asciimath2jax (other than to look for the - // processClass pattern below). Note that this is a regular - // expression, and so you need to be sure to quote any regexp special - // characters. The pattern is automatically preceeded by '(^| )(' and - // followed by ')( |$)', so your pattern will have to match full words - // in the class name. Assigning an element this class name will - // prevent `asciimath2jax` from processing its contents. - // - ignoreClass: "asciimath2jax_ignore", - - // - // This is the class name used to mark elements whose contents SHOULD - // be processed by asciimath2jax. This is used to turn on processing - // within tags that have been marked as ignored or skipped above. - // Note that this is a regular expression, and so you need to be sure - // to quote any regexp special characters. The pattern is - // automatically preceeded by '(^| )(' and followed by ')( |$)', so - // your pattern will have to match full words in the class name. Use - // this to restart processing within an element that has been marked - // as ignored above. - // - processClass: "asciimath2jax_process", - - // Controls whether asciimath2jax inserts MathJax_Preview spans to make a - // preview available, and what preview to use, when it locates in-line - // and display mathetics on the page. The default is "AsciiMath", which - // means use the AsciiMath code as the preview (until it is processed by - // MathJax). Set to "none" to prevent the previews from being - // inserted (the math will simply disappear until it is typeset). Set - // to an array containing the description of an HTML snippet in order - // to use the same preview for all equations on the page (e.g., you - // could have it say "[math]" or load an image). - // - // E.g., preview: ["[math]"], - // or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]] - // - preview: "AsciiMath" - - }, - - //============================================================================ - // - // These parameters control the mml2jax preprocessor (when you have included - // "mml2jax.js" in the extensions list above). - // - mml2jax: { - - // - // Controls whether mml2jax inserts MathJax_Preview spans to make a - // preview available, and what preview to use, when it locates - // mathematics on the page. The default is "mathml" which means use - // the tag as the preview (until it is processed by MathJax). - // Set to "alttext", to use the tag's alttext attribute as the - // preview, if the tag has one. Set to "none" to - // prevent the previews from being inserted (the math will simply - // disappear until it is typeset). Set to "altimg" to use an image - // described by the altimg* attributes of the element. - // Set to an array containing the - // description of an HTML snippet in order to use the same preview for - // all equations on the page (e.g., you could have it say "[math]" or - // load an image). - // - // E.g., preview: ["[math]"], - // or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]] - // - preview: "mathml" - - }, - - //============================================================================ - // - // These parameters control the jsMath2jax preprocessor (when you have included - // "jsMath2jax.js" in the extensions list above). - // - jsMath2jax: { - - // - // Controls whether jsMath2jax inserts MathJax_Preview spans to make a - // preview available, and what preview to use, when it locates - // mathematics on the page. The default is "TeX", which means use the - // TeX code as the preview (until it is processed by MathJax). Set to - // "none" to prevent the previews from being inserted (the math will - // simply disappear until it is typeset). Set to an array containing - // the description of an HTML snippet in order to use the same preview - // for all equations on the page (e.g., you could have it say "[math]" - // or load an image). - // - // E.g., preview: ["[math]"], - // or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]] - // - preview: "TeX" - - }, - - //============================================================================ - // - // These parameters control the TeX input jax. - // - TeX: { - - // - // This specifies the side on which \tag{} macros will place the tags. - // Set to "left" to place on the left-hand side. - // - TagSide: "right", - - // - // This is the amound of indentation (from right or left) for the tags. - // - TagIndent: "0.8em", - - // - // This is the width to use for the multline environment - // - MultLineWidth: "85%", - - // - // List of macros to define. These are of the form - // name: value - // where 'value' is the replacement text for the macro \name. - // The 'value' can also be [value,n] where 'value' is the replacement - // text and 'n' is the number of parameters for the macro. - // Note that backslashes must be doubled in the replacement string. - // - // E.g., - // - // Macros: { - // RR: '{\\bf R}', - // bold: ['{\\bf #1}', 1] - // } - // - Macros: {}, - - // - // Equation numbering parameters. - // - equationNumbers: { - autoNumber: "none", // "AMS" for standard AMS environment numbering, - // or "all" to number all displayed equations -// formatNumber: function (n) {return n}, // format for equation number n -// formatTag: function (n) {return '('+n+')'}, // format for \tag and \eqref -// formatID: function (n) {return 'mjx-eqn-'+String(n).replace(/[:'"<>&]/g,"")}, -// // element ID to use for reference -// formatURL: function (id,base) {return base+'#'+escape(id)}, -// // URL to use for references - useLabelIds: true // make element ID's use \label name rather than equation number - }, - - // - // Controls the TeX/noErrors extension - // - noErrors: { - disabled: false, // set to true to return to original error messages - multiLine: true, // false to not include original line breaks - inlineDelimiters: ["",""], // or use ["$","$"] or ["\\(","\\)"] to put back delimiters - style: { - "font-size": "90%", - "text-align": "left", - "color": "black", - "padding": "1px 3px", - "border": "1px solid" - } - }, - - // - // Controls the TeX/noUndefined extension - // - noUndefined: { - disabled: false, // set to true to return to original error messages - attributes: { // attributes to set for the undefined control sequence - mathcolor: "red" - } - }, - - // - // Controls the TeX/unicode extension - unicode: { - fonts: "STIXGeneral,'Arial Unicode MS'" // the default font list for unknown characters - } - - }, - - //============================================================================ - // - // These parameters control the AsciiMath input jax. - // - AsciiMath: { - // - // Determines whether the unicode positions for phi and varphi are - // to be swapped or not. (Unicode originally had these reversed, and - // many fonts have them reversed as well.) When set to true, phi - // and varphi will correspond to the LaTeX macros of the same name. - // - fixphi: true, - - // - // Determines whether the MathML should be marked so that the HTML-CSS - // and SVG output jax will use MathML spacing rules rather than TeX - // spacing rules. Since AsciiMath was designed for MathML output, the - // MathML rules are used by default. - // - useMathMLspacing: true, - - // - // Determines whether limits are placed above and below operators, - // or next to them. (AsciiMath doesn't have separate in-line and - // display modes like TeX and MathML do, so this is the only control - // you have over its output) - // - displaystyle: true, - - // - // The character to use for decimal places when scanning for a number. - // If you change it to ",", beware of things like "(1,2)" which would need - // to be changed to "(1, 2)" to be parsed correctly. - // - decimal: "." - }, - - //============================================================================ - // - // These parameters control the MathML input jax. - // - MathML: { - // - // This specifies whether to use TeX spacing or MathML spacing when the - // HTML-CSS output jax is used. - // - useMathMLspacing: false - }, - - //============================================================================ - // - // These parameters control the HTML-CSS output jax. - // - "HTML-CSS": { - - // - // This controls the global scaling of mathematics as compared to the - // surrounding text. Values between 100 and 133 are usually good choices. - // - scale: 100, - - // - // Don't allow the matching of math text to surrounding text to use a scaling - // factor smaller than this. - // - minScaleAdjust: 50, - - // - // This is a list of the fonts to look for on a user's computer in - // preference to using MathJax's web-based fonts. These must - // correspond to directories available in the jax/output/HTML-CSS/fonts - // directory, where MathJax stores data about the characters available - // in the fonts. Set this to ["TeX"], for example, to prevent the - // use of the STIX fonts, or set it to an empty list, [], if - // you want to force MathJax to use web-based or image fonts. - // - availableFonts: ["STIX","TeX"], - - // - // This is the preferred font to use when more than one of those - // listed above is available. - // - preferredFont: "TeX", - - // - // This is the web-based font to use when none of the fonts listed - // above are available on the user's computer. Note that currently - // only the TeX font is available in a web-based form. Set this to - // - // webFont: null, - // - // if you want to prevent the use of web-based fonts. - // - webFont: "TeX", - - // - // This is the font to use for image fallback mode (when none of the - // fonts listed above are available and the browser doesn't support - // web-fonts via the @font-face CSS directive). Note that currently - // only the TeX font is available as an image font. Set this to - // - // imageFont: null, - // - // if you want to prevent the use of image fonts (e.g., you have not - // installed the image fonts on your server). In this case, only - // browsers that support web-based fonts will be able to view your pages - // without having the fonts installed on the client computer. The browsers - // that support web-based fonts include: IE6 and later, Chrome, Safari3.1 - // and above, Firefox3.5 and later, and Opera10 and later. Note that - // Firefox3.0 is NOT on this list, so without image fonts, FF3.0 users - // will be required to to download and install either the STIX fonts or the - // MathJax TeX fonts. - // - imageFont: "TeX", - - // - // This is the font-family CSS value used for characters that are not - // in the selected font (e.g., for web-based fonts, this is where to - // look for characters not included in the MathJax_* fonts). IE will - // stop looking after the first font that exists on the system (even - // if it doesn't contain the needed character), so order these carefully. - // - undefinedFamily: "STIXGeneral,'Arial Unicode MS',serif", - - // - // This setting controls whether elements will be typeset - // using the math fonts or the font of the surrounding text. When - // false, the mathvariant="normal" font will be used; when true, - // the font will be inherited from the surrounding paragraph. - // - mtextFontInherit: false, - - // - // These values control how "chunky" the display of mathematical - // expressions will be. - // - // EqnChunk is the number of equations that will be typeset before - // they appear on screen. Larger values make for less visual flicker - // as the equations are drawn, but also mean longer delays before the - // reader sees anything. - // - // EqChunkFactor is the factor by which the EqnChunk will grow after each - // chunk is displayed. - // - // EqChunkDelay is the time (in milliseconds) to delay between chunks - // (to allow the browser to respond to other user interaction). - // - // Set EqnChunk to 1, EqnChunkFactor to 1, and EqnChunkDelay to 10 to get - // the behavior from MathJax v1.1 and below. - // - EqnChunk: 50, - EqnChunkFactor: 1.5, - EqnChunkDelay: 100, - - // - // This option indicates whether MathJax should try to correct the - // x-height of equations to match the size of the surrounding text. - // - matchFontHeight: true, - - // - // When true, MathJax will not measure the widths or heights of the - // subexpressions as it creates its output, but instead will rely on - // its internal calculautions based on teh bounding boxes of the - // characters it uses, and will only take measurements when it - // absolutely has to. Since measurements cause display reflows, they - // slows down MathJax considerably, so without them MathJax runs - // faster, but can produce slightly less accurate character placements, - // especially in width fractions or roots. - // - noReflows: true, - - - // - // These settings control automatic line breaking. It is off by - // default, so only explicit line breaks are performed (via - // linebreak="newline" attributes on and elements). To - // perform automatic line breaking on line expressions, set - // 'automatic' to 'true' below. The line breaks will be applied via a - // penalty-based heuristic, which does well, but isn't perfect. You - // might need to use linebreak="goodbreak" or linebreak="badbreak" by - // hand in order to get better effects. It is also possible to modify - // the penalty values; contact the MathJax user's forum for details. - // - linebreaks: { - - // - // This controls the automatic breaking of expressions: - // when false, only process linebreak="newline", - // when true, line breaks are inserted automatically in long expressions. - // - automatic: false, - - // - // This controls how wide the lines of mathematics can be - // - // Use an explicit width like "30em" for a fixed width. - // Use "container" to compute the size from the containing element. - // Use "nn% container" for a portion of the container. - // Use "nn%" for a portion of the window size. - // - // The container-based widths may be slower, and may not produce the - // expected results if the layout width changes due to the removal - // of previews or inclusion of mathematics during typesetting. - // - width: "container" - }, - - // - // This allows you to define or modify the styles used to display - // various math elements created by MathJax. - // - // Example: - // styles: { - // ".MathJax .merror": { - // color: "#CC0000", - // border: "1px solid #CC0000" - // } - // } - // - styles: {}, - - // - // Configuration for tooltips - // (see also the #MathJax_Tooltip CSS in MathJax/jax/output/HTML-CSS/config.js, - // which can be overriden using the styles values above). - // - tooltip: { - delayPost: 600, // milliseconds delay before tooltip is posted after mouseover - delayClear: 600, // milliseconds delay before tooltip is cleared after mouseout - offsetX: 10, offsetY: 5 // pixels to offset tooltip from mouse position - } - }, - - //============================================================================ - // - // These parameters control the NativeMML output jax. - // - NativeMML: { - - // - // This controls the global scaling of mathematics as compared to the - // surrounding text. Values between 100 and 133 are usually good choices. - // - scale: 100, - - // - // Don't allow the matching of math text to surrounding text to use a scaling - // factor smaller than this. - // - minScaleAdjust: 50, - - // This option indicates whether MathJax should try to correct the - // x-height of equations to match the size of the surrounding text. - matchFontHeight: true, - - // - // This allows you to define or modify the styles used to display - // various math elements created by MathJax. - // - // Example: - // styles: { - // ".MathJax_MathML": { - // color: "red" // MathML is in red - // } - // } - // - styles: {} - }, - - //============================================================================ - // - // These parameters control the SVG output jax. - // - "SVG": { - - // - // This controls the global scaling of mathematics as compared to the - // surrounding text. Values between 100 and 133 are usually good choices. - // - scale: 100, - - // - // Don't allow the matching of math text to surrounding text to use a scaling - // factor smaller than this. - // - minScaleAdjust: 50, - - // - // This specifies the font to use for SVG output (currently the only - // one available) - // - font: "TeX", - - // - // This is the stroke width to use for all character paths (1em = 1000 - // units). This is a cheap way of getting slightly lighter or darker - // characters - // - blacker: 10, - - // - // This is the font-family CSS value used for characters that are not - // in the selected font. IE will stop looking after the first font - // that exists on the system (even if it doesn't contain the needed - // character), so order these carefully. - // - undefinedFamily: "STIXGeneral,'Arial Unicode MS',serif", - - // - // This setting controls whether elements will be typeset - // using the math fonts or the font of the surrounding text. When - // false, the mathvariant="normal" font will be used; when true, - // the font will be inherited from the surrounding paragraph. - // - mtextFontInherit: false, - - // - // This controls whether the MathML structure is retained and CSS - // classes are added to mark the original MathML elements (as in the - // HTML-CSS output). By default, the SVG output jax removes unneeded - // nesting in order to produce a more efficient markup, but if you - // want to use CSS to style the elements as if they were MathML, you - // might need to set this to true. - // - addMMLclasses: false, - - // - // These values control how "chunky" the display of mathematical - // expressions will be. - // - // EqnChunk is the number of equations that will be typeset before - // they appear on screen. Larger values make for less visual flicker - // as the equations are drawn, but also mean longer delays before the - // reader sees anything. - // - // EqChunkFactor is the factor by which the EqnChunk will grow after each - // chunk is displayed. - // - // EqChunkDelay is the time (in milliseconds) to delay between chunks - // (to allow the browser to respond to other user interaction). - // - // Set EqnChunk to 1, EqnChunkFactor to 1, and EwnChunkDelay to 10 to get - // the behavior from MathJax v1.1 and below. - // - EqnChunk: 50, - EqnChunkFactor: 1.5, - EqnChunkDelay: 100, - - // This option indicates whether MathJax should try to correct the - // x-height of equations to match the size of the surrounding text. - matchFontHeight: true, - - // - // These settings control automatic line breaking. It is off by - // default, so only explicit line breaks are performed (via - // linebreak="newline" attributes on and elements). To - // perform automatic line breaking on line expressions, set - // 'automatic' to 'true' below. The line breaks will be applied via a - // penalty-based heuristic, which does well, but isn't perfect. You - // might need to use linebreak="goodbreak" or linebreak="badbreak" by - // hand in order to get better effects. It is also possible to modify - // the penalty values; contact the MathJax user's forum for details. - // - linebreaks: { - - // - // This controls the automatic breaking of expressions: - // when false, only process linebreak="newline", - // when true, line breaks are inserted automatically in long expressions. - // - automatic: false, - - // - // This controls how wide the lines of mathematics can be - // - // Use an explicit width like "30em" for a fixed width. - // Use "container" to compute the size from the containing element. - // Use "nn% container" for a portion of the container. - // Use "nn%" for a portion of the window size. - // - // The container-based widths may be slower, and may not produce the - // expected results if the layout width changes due to the removal - // of previews or inclusion of mathematics during typesetting. - // - width: "container" - }, - - // - // These are the styles used for merror elements in SVG output. Note - // that only a limited number of style attributes are supported by - // SVG, but you can at least change the colors and borders. - // - // - merrorStyle: { - fontSize:"90%", color:"#C00", background:"#FF8", - border: "1px solid #C00", padding:"3px" - }, - - // - // This allows you to define or modify the styles used to display - // various math elements created by MathJax. - // - // Example: - // styles: { - // ".MathJax .merror": { - // color: "#CC0000", - // border: "1px solid #CC0000" - // } - // } - // - styles: {}, - - // - // Configuration for tooltips - // (see also the #MathJax_Tooltip CSS in MathJax/jax/output/SVG/config.js, - // which can be overriden using the styles values above). - // - tooltip: { - delayPost: 600, // milliseconds delay before tooltip is posted after mouseover - delayClear: 600, // milliseconds delay before tooltip is cleared after mouseout - offsetX: 10, offsetY: 5 // pixels to offset tooltip from mouse position - } - }, - - //============================================================================ - // - // These parameters control the contextual menus that are available on the - // mathematics within the page (provided the showMathMenu value is true above). - // - MathMenu: { - // - // This is the hover delay for the display of submenus in the - // contextual menu. When the mouse is still over a submenu label for - // this long, the menu will appear. (The menu also will appear if you - // click on the label.) It is in milliseconds. - // - delay: 150, - - // - // This is the URL for the MathJax Help menu item. - // - helpURL: "http://www.mathjax.org/help-v2/user/", - - // - // These control whether the "Math Renderer", "MathPlayer", "Font - // Preferences", "Contextual Menu", and "Discoverable" menu items will - // be displayed or not. - // - showRenderer: true, - showMathPlayer: true, - showFontMenu: false, - showContext: false, - showDiscoverable: false, - - // - // These are the settings for the Annotation menu. If the root has - // a child that contains one of the following annotation - // formats, the source will be available via the "Show Math As" menu. - // Each format has a list of possible encodings. - // - semanticsAnnotations: { - "TeX": ["TeX", "LaTeX", "application/x-tex"], - "StarMath": ["StarMath 5.0"], - "Maple": ["Maple"], - "ContentMathML": ["MathML-Content", "application/mathml-content+xml"], - "OpenMath": ["OpenMath"] - }, - - // - // These are the settings for the Show Source window. The initial - // width and height will be reset after the source is shown in an - // attempt to make the window fit the output better. - // - windowSettings: { - status: "no", toolbar: "no", locationbar: "no", menubar: "no", - directories: "no", personalbar: "no", resizable: "yes", scrollbars: "yes", - width: 100, height: 50 - }, - - // - // This allows you to change the CSS that controls the menu - // appearance. See the extensions/MathMenu.js file for details - // of the default settings. - // - styles: {} - - }, - - //============================================================================ - // - // These parameters control the contextual menus that are available on the - // mathematics within the page (provided the showMathMenu value is true above). - // - MathEvents: { - // - // This is the time required for the mouse to be held still over a - // typeset equation in order for it to count as a hover (used when the - // zoom trigger is "Hover"). It is in milliseconds. - // - hover: 500 - }, - - //============================================================================ - // - // These parameters control the MMLorHTML configuration file. - // NOTE: if you add MMLorHTML.js to the config array above, - // you must REMOVE the output jax from the jax array. - // - MMLorHTML: { - // - // The output jax that is to be preferred when both are possible - // (set to "MML" for native MathML, "HTML" for MathJax's HTML-CSS output jax). - // - prefer: { - MSIE: "MML", - Firefox: "HTML", - Opera: "HTML", - Safari: "HTML", - Chrome: "HTML", - other: "HTML" - } - } -}); - -MathJax.Ajax.loadComplete("[MathJax]/config/default.js"); diff --git a/htdocs/js/MathJax-2.7.0/config/local/local.js b/htdocs/js/MathJax-2.7.0/config/local/local.js deleted file mode 100644 index 142deae..0000000 --- a/htdocs/js/MathJax-2.7.0/config/local/local.js +++ /dev/null @@ -1,40 +0,0 @@ -/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */ -/* vim: set ts=2 et sw=2 tw=80: */ - -/************************************************************* - * - * MathJax/config/local/local.js - * - * Include changes and configuration local to your installation - * in this file. For example, common macros can be defined here - * (see below). To use this file, add "local/local.js" to the - * config array in MathJax.js or your MathJax.Hub.Config() call. - * - * --------------------------------------------------------------------- - * - * Copyright (c) 2009-2016 The MathJax Consortium - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - - -MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { - var TEX = MathJax.InputJax.TeX; - - // place macros here. E.g.: - // TEX.Macro("R","{\\bf R}"); - // TEX.Macro("op","\\mathop{\\rm #1}",1); // a macro with 1 parameter - -}); - -MathJax.Ajax.loadComplete("[MathJax]/config/local/local.js"); -- cgit v1.2.3