/*
 *  /MathJax/config/MML_HTMLorMML-full.js
 *  
 *  Copyright (c) 2010-11 Design Science, Inc.
 *
 *  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]/config/MMLorHTML.js",
  "[MathJax]/extensions/mml2jax.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/NativeMML/jax.js",
  "[MathJax]/jax/output/HTML-CSS/jax.js",
  "[MathJax]/jax/output/HTML-CSS/autoload/mtable.js"
);

MathJax.Hub.Config({"v1.0-compatible":false});

MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",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:"1.1.6",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:{scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",showMathMenu:true,styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-family":"serif","font-style":"normal","font-size":"90%"},".MathJax_Preview":{color:"#888888"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px"}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete 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.id==="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<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set("Your browser does not support MathJax",null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");

MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"1.1.4",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{scale:100,showMathMenu:true,showMathMenuMSIE:true,styles:{"DIV.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");

(function(c){var h="1.1.1";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"MML",Opera:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(c.Browser.version==="0.0"||c.Browser.versionAtLeast(e[c.Browser]||0));var g=false;if(!c.Browser.isIE9){try{new ActiveXObject("MathPlayer.Factory.1");g=true}catch(f){}}var d=(c.Browser.isFirefox&&c.Browser.versionAtLeast("1.5"))||(c.Browser.isMSIE&&g)||(c.Browser.isOpera&&c.Browser.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var i=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(i==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set("Your browser does not support MathJax",null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");

MathJax.Extension.mml2jax={version:"1.1.2",config:{preview:"alttext"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}this.ProcessMathArray(e.getElementsByTagName("math"));if(e.getElementsByTagNameNS){this.ProcessMathArray(e.getElementsByTagNameNS(this.MMLnamespace,"math"))}var d=document.getElementsByTagName("html")[0];if(d){for(var c=0,b=d.attributes.length;c<b;c++){var a=d.attributes[c];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.ProcessMathArray(e.getElementsByTagName(a.nodeName.substr(6)+":math"))}}}},ProcessMathArray:function(b){var a;if(b.length){if(this.MathTagBug){for(a=b.length-1;a>=0;a--){if(b[a].nodeName==="MATH"){this.ProcessMathFlattened(b[a])}else{this.ProcessMath(b[a])}}}else{for(a=b.length-1;a>=0;a--){this.ProcessMath(b[a])}}}},ProcessMath:function(e){var d=e.parentNode;var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}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;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+"</math>";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="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}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<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;")},createPreview:function(b,a){var c;if(this.config.preview==="alttext"){var d=b.getAttribute("alttext");if(d!=null){c=[this.filterText(d)]}}else{if(this.config.preview instanceof Array){c=this.config.preview}}if(c){c=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},c);a.parentNode.insertBefore(c,a)}},filterText:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&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]);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");

(function(a,c,e,b,h){var i="1.1";var g=a.CombineConfig("MathZoom",{delay:400,styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-family":"serif","font-size":"85%","font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var d=function(j){if(!j){j=window.event}if(j){if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false}return false};var f=MathJax.Extension.MathZoom={version:i,settings:a.config.menuSettings,HandleEvent:function(l,j,k){if(!l){l=window.event}if(f.settings.CTRL&&!l.ctrlKey){return true}if(f.settings.ALT&&!l.altKey){return true}if(f.settings.CMD&&!l.metaKey){return true}if(f.settings.Shift&&!l.shiftKey){return true}return f[j](l,k)},Click:function(k,j){if(this.settings.zoom==="Click"){return this.Zoom(j,k)}},DblClick:function(k,j){if(this.settings.zoom==="Double-Click"){return this.Zoom(j,k)}},Mouseover:function(k,j){if(this.settings.zoom==="Hover"){f.oldMouseOver=j.onmouseover;j.onmouseover=null;j.onmousemove=this.Mousemove;j.onmouseout=this.Mouseout;return f.Timer(k,j)}},Mouseout:function(j){this.onmouseover=f.oldMouseOver;delete f.oldMouseOver;this.onmousemove=this.onmouseout=null;f.ClearTimer();return d(j)},Mousemove:function(j){return f.Timer(j||window.event,this)},Timer:function(k,j){this.ClearTimer();this.timer=setTimeout(MathJax.Callback(["Zoom",this,j,{}]),g.delay);return d(k)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer);delete this.timer}},Zoom:function(s,l){this.ClearTimer();this.Remove();var v=s.parentNode;if(v.className==="MathJax_MathContainer"){v=v.parentNode}if(v.parentNode.className==="MathJax_MathContainer"){v=v.parentNode.parentNode}var q=(String(v.className).match(/^MathJax_(MathML|Display)$/)?v:s).nextSibling;var m=a.getJaxFor(q),r=m.root;var o=(b&&m.outputJax.isa(b.constructor)?"HTMLCSS":(h&&m.outputJax.isa(h.constructor)?"MathML":null));if(!o){return}var j=Math.floor(0.85*document.body.clientWidth),p=Math.floor(0.85*document.body.clientHeight);var k=c.Element("span",{style:{position:"relative",display:"inline-block",height:0,width:0},id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":j+"px","max-height":p+"px"}},[["span"]]]]);var x=k.lastChild,u=x.firstChild,n=k.firstChild;s.parentNode.insertBefore(k,s);if(this.msieZIndexBug){var t=c.Element("img",{src:"about:blank",id:"MathJax_ZoomTracker",style:{width:0,height:0,position:"relative"}});document.body.appendChild(k);k.style.position="absolute";k.style.zIndex=g.styles["#MathJax_ZoomOverlay"]["z-index"];k=t}var w=(this["Zoom"+o])(r,u,s);if(this.msiePositionBug){if(this.msieIE8Bug){u.style.position="absolute";x.style.height=u.offsetHeight;u.style.position="";if(x.offsetHeight<=p&&x.offsetWidth<=j){x.style.overflow="visible"}}if(this.msieWidthBug){x.style.width=Math.min(j,w.w)}else{if(w.w>j){x.style.width=j}}if(x.offsetHeight>p){x.style.Height=p+"px"}if(s.nextSibling){s.parentNode.insertBefore(k,s.nextSibling)}else{v.appendChild(k)}}else{if(this.operaPositionBug){x.style.width=Math.min(j,u.offsetWidth)+"px"}}this.Position(x,w,(o==="MathML"&&v.nodeName.toLowerCase()==="div"));x.style.visibility="";if(this.settings.zoom==="Hover"){n.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}return d(l)},ZoomHTMLCSS:function(o,q,p){q.className="MathJax";b.idPostfix="-zoom";b.getScales(q,q);o.toHTML(q,q);var r=o.HTMLspanElement().bbox;b.idPostfix="";if(r.width&&r.width!=="100%"){var j=Math.floor(0.85*document.body.clientWidth);q.style.width=j+"px";q.style.display="inline-block";var k=(o.id||"MathJax-Span-"+o.spanID)+"-zoom";var l=document.getElementById(k).firstChild;while(l&&l.style.width!==r.width){l=l.nextSibling}if(l){l.style.width="100%"}}q.appendChild(this.topImg);var n=this.topImg.offsetTop;q.removeChild(this.topImg);var m=(this.msieWidthBug?b.getW(p)*b.em:p.offsetWidth);return{w:r.w*b.em,Y:-n,W:m}},ZoomMathML:function(k,l,m){k.toNativeMML(l,l);var n;l.appendChild(this.topImg);n=this.topImg.offsetTop;l.removeChild(this.topImg);var j=(this.ffMMLwidthBug?m.parentNode:m).offsetWidth;return{w:l.offsetWidth,Y:-n,W:j}},Position:function(p,n,r){var k=this.Resize(),m=k.x,l=k.y,j=n.W;if(this.msiePositionBug){j=-j}if(r&&this.ffMMLcenterBug){j=0}var q=-Math.floor((p.offsetWidth-j)/2),o=n.Y;p.style.left=Math.max(q,20-m)+"px";p.style.top=Math.max(o,20-l)+"px"},Resize:function(l){if(f.onresize){f.onresize(l)}var j=0,o=0,n=document.getElementById("MathJax_ZoomFrame"),k=document.getElementById("MathJax_ZoomOverlay");var m=(f.msieZIndexBug?document.getElementById("MathJax_ZoomTracker"):n);if(f.operaPositionBug){n.style.border="1px solid"}if(m.offsetParent){do{j+=m.offsetLeft;o+=m.offsetTop}while(m=m.offsetParent)}if(f.operaPositionBug){n.style.border=""}if(f.msieZIndexBug){n.style.left=j+"px";n.style.top=o+"px"}k.style.left=(-j)+"px";k.style.top=(-o)+"px";if(f.msiePositionBug){setTimeout(f.SetWH,0)}else{f.SetWH()}return{x:j,y:o}},SetWH:function(){var j=document.getElementById("MathJax_ZoomOverlay");j.style.width=j.style.height="1px";j.style.width=document.body.scrollWidth+"px";j.style.height=document.body.scrollHeight+"px"},Remove:function(k){var l=document.getElementById("MathJax_ZoomFrame");if(l){l.parentNode.removeChild(l);l=document.getElementById("MathJax_ZoomTracker");if(l){l.parentNode.removeChild(l)}if(f.operaRefreshBug){var j=c.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(j)}if(window.removeEventListener){removeEventListener("resize",f.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",f.Resize)}else{window.onresize=f.onresize;delete f.onresize}}}return d(k)}};a.Register.StartupHook("HTML-CSS Jax Ready",function(){b=MathJax.OutputJax["HTML-CSS"];b.Augment({HandleEvent:f.HandleEvent})});a.Register.StartupHook("NativeMML Jax Ready",function(){h=MathJax.OutputJax.NativeMML;h.Augment({HandleEvent:f.HandleEvent,MSIEmouseup:function(l,k,j){if(this.trapUp){delete this.trapUp;return true}if(this.MSIEzoomKeys(l)){return true}return false},MSIEclick:function(l,k,j){if(this.trapClick){delete this.trapClick;return true}if(!this.MSIEzoomKeys(l)){return false}if(!this.settings.zoom.match(/Click/)){return false}return(f.Click(l,k)===false)},MSIEdblclick:function(l,k,j){if(!this.MSIEzoomKeys(l)){return false}return(f.DblClick(l,k)===false)},MSIEmouseover:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEmouseout:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.ClearTimer();return true},MSIEmousemove:function(l,k,j){if(this.settings.zoom!=="Hover"){return false}f.Timer(l,k);return true},MSIEzoomKeys:function(j){if(this.settings.CTRL&&!j.ctrlKey){return false}if(this.settings.CMD&&!j.metaKey){return false}if(this.settings.ALT&&!j.altKey){return false}if(this.settings.Shift&&!j.shiftKey){return false}return true}})});a.Browser.Select({MSIE:function(j){var k=(document.compatMode==="BackCompat");var l=j.versionAtLeast("8.0")&&document.documentMode>7;f.msiePositionBug=true;f.msieWidthBug=!k;f.msieIE8Bug=l;f.msieZIndexBug=!l;f.msieInlineBlockAlignBug=(!l||k);if(document.documentMode>=9){delete g.styles["#MathJax_Zoom"].filter}},Opera:function(j){f.operaPositionBug=true;f.operaRefreshBug=true},Firefox:function(j){f.ffMMLwidthBug=true;f.ffMMLcenterBug=true}});f.topImg=(f.msieInlineBlockAlignBug?c.Element("img",{style:{width:0,height:0},src:"about:blank"}):c.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(f.operaPositionBug){f.topImg.style.border="1px solid"}MathJax.Callback.Queue(["Styles",e,g.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",e,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);

(function(b,c,f){var k="1.1.6";MathJax.Extension.MathMenu={version:k};var i=b.Browser.isPC,g=b.Browser.isMSIE;var e=(i?null:"5px");var j=b.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help/user/",showRenderer:true,showFontMenu:false,showContext:false,windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:100,height:50},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(i?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":e,"-webkit-border-radius":e,"-moz-border-radius":e,"-khtml-border-radius":e,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(i?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(i?"-1px -1px 1px -1px":"-5px 0 0 0"),"text-align":"center","font-style":"italic","font-size":"80%",color:"#444444",padding:"2px 0",overflow:"hidden"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(g?"'Arial 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false},MSIEmousedown:function(h,g,f){if(h[this.MENUKEY]&&h.button===this.LEFTBUTTON&&this.settings.context!=="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}if(this.MSIEzoomKeys&&this.MSIEzoomKeys(h)){this.trapUp=true;return true}return false},MSIEcontextmenu:function(h,g,f){if(this.settings.context==="MathJax"){this.trapUp=this.trapClick=true;this.ContextMenu.call(f,h,true);return true}return false},ContextMenu:function(i,j){if(b.config.showMathMenu&&(b.settings.context==="MathJax"||j)){if(b.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!i||b.msieEventBug){i=window.event}var g=MathJax.Menu;if(g){if(document.selection){setTimeout("document.selection.empty()",0)}var f=(c?this.parentNode.parentNode.nextSibling:this.parentNode.nextSibling);g.jax=e.getJaxFor(f);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);delete b.trapClick;delete b.trapUp;return g.menu.Post(i)}else{if(!d.loadingMathMenu){d.loadingMathMenu=true;var h={pageX:i.pageX,pageY:i.pageY,clientX:i.clientX,clientY:i.clientY};MathJax.Callback.Queue(d.Require("[MathJax]/extensions/MathMenu.js"),function(){delete d.loadingMathMenu},[this,arguments.callee,h,j])}if(i.preventDefault){i.preventDefault()}if(i.stopPropagation){i.stopPropagation()}i.cancelBubble=true;i.returnValue=false;return false}}},Mousedown:function(f){if(b.config.showMathMenu){if(!f){f=window.event}if(b.settings.context==="MathJax"){if(!b.noContextMenuBug||f.button!==2){return}}else{if(!f[b.MENUKEY]||f.button!==b.LEFTBUTTON){return}}return b.ContextMenu.call(this,f,true)}},Mouseover:function(f){b.HandleEvent(f,"Mouseover",this)},Click:function(f){b.HandleEvent(f,"Click",this)},DblClick:function(f){b.HandleEvent(f,"DblClick",this)},HandleEvent:function(h,f,g){},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em"}});e.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toNativeMML:function(k){var h=this.NativeMMLelement(this.type);this.NativeMMLattributes(h);for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)},NativeMMLattributes:function(h){var l=this.defaults;var o=this.NativeMMLcopyAttributes,k=this.NativeMMLskipAttributes;if(this.type==="mstyle"){l=a.math.prototype.defaults}for(var n in l){if(!k[n]&&l.hasOwnProperty(n)){if(this[n]!=null){h.setAttribute(n,this.NativeMMLattribute(n,this[n]))}}}for(var j=0,g=o.length;j<g;j++){if(this[o[j]]!=null){h.setAttribute(o[j],this.NativeMMLattribute(o[j],this[o[j]]))}}},NativeMMLcopyAttributes:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],NativeMMLskipAttributes:{texClass:1,useHeight:1,texprimestyle:1},NativeMMLattribute:function(h,g){g=String(g);if(b.NAMEDSPACE[g]){g=b.NAMEDSPACE[g]}else{if(g.match(/^\s*([-+]?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){g=((1/18)*RegExp.$1)+"em"}else{if(g==="-tex-caligraphic"){g="script"}else{if(g==="-tex-oldstyle"){g="normal"}}}}return g},NativeMMLelement:(c?function(g){return document.createElement("mjx:"+g)}:function(g){return document.createElementNS(b.MMLnamespace,g)})});a.mrow.Augment({toNativeMML:function(j){if(this.inferred&&this.parent.inferRow){for(var h=0,g=this.data.length;h<g;h++){if(this.data[h]){this.data[h].toNativeMML(j)}else{j.appendChild(this.NativeMMLelement("mrow"))}}}else{this.SUPER(arguments).toNativeMML.call(this,j)}}});a.msubsup.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.sup]==null){k="msub"}if(this.data[this.sub]==null){k="msup"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});a.munderover.Augment({toNativeMML:function(l){var k=this.type;if(this.data[this.under]==null){k="mover"}if(this.data[this.over]==null){k="munder"}var h=this.NativeMMLelement(k);this.NativeMMLattributes(h);delete this.data[0].inferred;for(var j=0,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}}l.appendChild(h)}});if(MathJax.Hub.Browser.isFirefox){a.mtable.Augment({toNativeMML:function(g){if(this.width){var h=(this.style||"").replace(/;\s*$/,"").split(";");h.push("width:"+this.width);this.style=h.join(";")}this.SUPER(arguments).toNativeMML.call(this,g)}});a.mlabeledtr.Augment({toNativeMML:function(k){var h=this.NativeMMLelement("mtr");this.NativeMMLattributes(h);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.data[j].toNativeMML(h)}else{h.appendChild(this.NativeMMLelement("mrow"))}}k.appendChild(h)}});var f=MathJax.Hub.config.root+"/fonts/HTML-CSS/TeX/otf";b.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS"},'[mathvariant="script"]':{"font-family":"MathJax_Script"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur"},'[mathvariant="-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic"},'[mathvariant="-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic","font-weight":"bold"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sansserif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sansserif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sansserif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sansserif","font-style":"italic","font-weight":"bold"},"@font-face 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g=this.NativeMMLelement("mrow");this.data[0].toNativeMML(g);h.appendChild(g)}});a.chars.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.entity.Augment({toNativeMML:function(g){g.appendChild(document.createTextNode(this.toString()))}});a.xml.Augment({toNativeMML:function(j){for(var h=0,g=this.data.length;h<g;h++){j.appendChild(this.data[h].cloneNode(true))}}});e.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toNativeMML:function(g){this.Core().toNativeMML(g)}})});setTimeout(MathJax.Callback(["loadComplete",b,"jax.js"]),0)});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){d.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax);

(function(c,d,e){var a;var b=MathJax.Object.Subclass({timeout:5*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal"}},[""]);this.text=this.div.firstChild},findFont:function(k,h){if(h&&this.testCollection(h)){return h}for(var j=0,g=k.length;j<g;j++){if(k[j]===h){continue}if(this.testCollection(k[j])){return k[j]}}return null},testCollection:function(g){return 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j=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){j+=":"+document.location.port}j+="/";if(c.fileURL(e.webfontDir).substr(0,j.length)!==j){this.firefoxFontError(i)}}e.loadWebFontError(i,h)},loadError:function(g){MathJax.Message.Set("Can't load web font "+e.fontInUse+"/"+g.directory,null,2000)},firefoxFontError:function(g){MathJax.Message.Set("Firefox can't load web fonts from a remote host",null,3000)},checkWebFont:function(g,h,i){if(g.time(i)){return}if(e.Font.testFont(h)){i(g.STATUS.OK)}else{setTimeout(g,g.delay)}},fontFace:function(i){var j=e.allowWebFonts;var l=e.FONTDATA.FONTS[i];if(e.msieFontCSSBug&&!l.family.match(/-Web$/)){l.family+="-Web"}var h=c.fileURL(e.webfontDir+"/"+j);var g=i.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!g.match(/-/)){g+="-Regular"}if(j==="svg"){g+=".svg#"+g}else{g+="."+j}var k={"font-family":l.family,src:"url('"+h+"/"+g+"')"};if(j==="svg"){k.src+=" 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f.timeout;f.last=0;e.ContextMenu.call(h,g.touches[0]||even.touch)}};e.Augment({config:{styles:{".MathJax":{display:"inline","font-family":"serif","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap"},".MathJax img":{display:"inline ! important"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax .MathJax_HitBox":{cursor:"text"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",background:"transparent"}}},settings:d.config.menuSettings,LEFTBUTTON:(d.Browser.isMSIE?1:0),MENUKEY:"altKey",Touch:f,Font:null,Config:function(){this.Font=b();this.SUPER(arguments).Config.call(this);var h=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(h.scale){this.config.scale=h.scale}if(h.font&&h.font!=="Auto"){if(h.font==="TeX (local)"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(h.font==="STIX (local)"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="TeX"}else{if(h.font==="TeX 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")+"]",null,3000);this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};if(MathJax.InputJax.TeX&&MathJax.InputJax.TeX.Definitions){MathJax.InputJax.TeX.Definitions.macros.overline[1]="002D";MathJax.InputJax.TeX.Definitions.macros.underline[1]="002D"}d.Startup.signal.Post("HTML-CSS Jax - no valid font")}},Startup:function(){var j=[],n=this.FONTDATA.VARIANT.normal.fonts;if(!(n instanceof Array)){n=[n]}for(var h=0,g=n.length;h<g;h++){j[h]=this.FONTDATA.FONTS[n[h]].family;if(!j[h]){j[h]=n[h]}}this.config.styles[".MathJax .math span"]=this.config.styles["#MathJax_getScales"]={"font-family":j.join(",")};this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var l=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=l.offsetWidth/5;this.hiddenDiv.removeChild(l);this.startMarker=e.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(k){}}else{this.HDimg=e.createStrut(this.HDspan,0)}this.HDMspan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}});if(this.msieInlineBlockAlignBug){this.HDMimg=this.addElement(this.HDMspan,"img",{style:{height:"0px",width:"1px","max-width":"none","max-height":"none",border:0,padding:0,margin:0}});try{this.HDMimg.src="about:blank"}catch(k){}}else{this.HDMimg=e.createStrut(this.HDMspan,0);this.HDMimg.style.marginRight=""}this.marginCheck=e.Element("span",null,[["span",{style:{display:"inline-block",width:"5em"}}]]);this.marginMove=e.addElement(this.marginCheck,"span",{style:{display:"inline-block",width:"5em",marginLeft:"-5em"}});return c.Styles(this.config.styles,["PreloadWebFonts",this])},PreloadWebFonts:function(){if(!e.allowWebFonts||!e.config.preloadWebFonts){return}for(var h=0,g=e.config.preloadWebFonts.length;h<g;h++){var j=e.FONTDATA.FONTS[e.config.preloadWebFonts[h]];if(!j.available){e.Font.testFont(j)}}},Translate:function(m){if(!m.parentNode){return}var k=m.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var n=m.MathJax.elementJax.root,o,g,i;o=g=i=this.Element("span",{className:"MathJax",oncontextmenu:this.ContextMenu,onmousedown:this.Mousedown,onmouseover:this.Mouseover,onclick:this.Click,ondblclick:this.DblClick});if(MathJax.Hub.Browser.noContextMenu){o.ontouchstart=this.Touch.start;o.ontouchend=this.Touch.end}var j=(n.Get("display")==="block");if(j){g=i=this.Element("div",{className:"MathJax_Display",style:{width:"100%",position:"relative"}});g.appendChild(o)}g.setAttribute("role","textbox");g.setAttribute("aria-readonly","true");if(this.useProcessingFrame){i=this.Element((j?"div":"span"),{className:"MathJax_Processing"});i.appendChild(g)}m.parentNode.insertBefore(i,m);var h;try{this.getScales(o);h=(this.em===0||String(this.em)==="NaN")}catch(l){h=true}if(h){this.hiddenDiv.appendChild(i);this.getScales(o)}this.initImg(o);this.initHTML(n,o);n.setTeXclass();try{n.toHTML(o,g)}catch(l){if(l.restart){i.parentNode.removeChild(i)}throw l}if(h){m.parentNode.insertBefore(i,m)}if(this.useProcessingFrame){i.parentNode.replaceChild(g,i)}},ContextMenu:function(j,k){if(e.config.showMathMenu&&(e.settings.context==="MathJax"||k)){if(e.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(!j||e.msieEventBug){j=window.event}var g=MathJax.Menu;if(g){var i=(this.parentNode.className==="MathJax_Display"?this.parentNode:this);g.jax=d.getJaxFor(i.nextSibling);g.menu.items[1].menu.items[1].name=(g.jax.inputJax.id==="MathML"?"Original":g.jax.inputJax.id);return g.menu.Post(j)}else{if(!c.loadingMathMenu){c.loadingMathMenu=true;var h={pageX:j.pageX,pageY:j.pageY,clientX:j.clientX,clientY:j.clientY};MathJax.Callback.Queue(c.Require("[MathJax]/extensions/MathMenu.js"),function(){delete c.loadingMathMenu},[this,arguments.callee,h,k])}if(j.preventDefault){j.preventDefault()}if(j.stopPropagation){j.stopPropagation()}j.cancelBubble=true;j.returnValue=false;return false}}},Mousedown:function(g){if(e.config.showMathMenu){if(!g){g=window.event}if(e.settings.context==="MathJax"){if(!e.noContextMenuBug||g.button!==2){return}}else{if(!g[e.MENUKEY]||g.button!==e.LEFTBUTTON){return}}return e.ContextMenu.call(this,g,true)}},Mouseover:function(g){e.HandleEvent(g,"Mouseover",this)},Click:function(g){e.HandleEvent(g,"Click",this)},DblClick:function(g){e.HandleEvent(g,"DblClick",this)},HandleEvent:function(i,g,h){},initImg:function(g){},initHTML:function(h,g){},initFont:function(g){var i=e.FONTDATA.FONTS,h=e.config.availableFonts;if(h&&h.length&&e.Font.testFont(i[g])){i[g].available=true;return null}if(!this.allowWebFonts){return null}i[g].isWebFont=true;if(e.FontFaceBug){i[g].family=g;if(e.msieFontCSSBug){i[g].family+="-Web"}}return c.Styles({"@font-face":this.Font.fontFace(g)})},Remove:function(g){var h=g.SourceElement();if(!h){return}h=h.previousSibling;if(!h){return}if(h.className.match(/^MathJax/)){h.parentNode.removeChild(h)}},getScales:function(i){i.parentNode.insertBefore(this.HDMspan,i);this.HDMspan.className="";this.HDMspan.id="";this.HDMspan.style.fontSize="";this.HDMimg.style.height="1px";this.HDMimg.style.width="60ex";var h=this.HDMspan.offsetWidth/60;this.HDMspan.className="MathJax";this.HDMspan.id="MathJax_getScales";this.HDMimg.style.width="60em";var g=this.outerEm=this.HDMspan.offsetWidth/60;this.scale=Math.floor(Math.max(this.config.minScaleAdjust/100,(h/this.TeX.x_height)/g)*this.config.scale);i.style.fontSize=this.HDMspan.style.fontSize=this.scale+"%";this.em=a.mbase.prototype.em=this.HDMspan.offsetWidth/60;if(this.operaFontSizeBug&&g===this.em&&this.scale!==100){this.em=a.mbase.prototype.em=g*this.scale/100}i.parentNode.removeChild(this.HDMspan);this.msieMarginScale=this.getMarginScale(i)},getMarginScale:function(g){return 1},getMSIEmarginScale:function(i){i.appendChild(this.marginCheck);var g=this.marginCheck.offsetWidth,h=this.marginMove.offsetWidth;var j=(2*h-g?h/(2*h-g):1);i.removeChild(this.marginCheck);return j},getHD:function(h){var g=h.style.position;h.style.position="absolute";this.HDimg.style.height="0px";h.appendChild(this.HDspan);var i={h:h.offsetHeight};this.HDimg.style.height=i.h+"px";i.d=h.offsetHeight-i.h;i.h-=i.d;i.h/=this.em;i.d/=this.em;h.removeChild(this.HDspan);h.style.position=g;return i},getW:function(j){var h=j.offsetWidth,i=(j.bbox?j.bbox.w:-1),k=j;if((i<0||this.negativeSkipBug)&&h>=0){if(this.negativeSkipBug){var g=j.style.position;j.style.position="absolute";k=this.startMarker;if(j.firstChild){j.insertBefore(k,j.firstChild)}else{j.appendChild(k)}k=this.startMarker}j.appendChild(this.endMarker);h=this.endMarker.offsetLeft-k.offsetLeft;j.removeChild(this.endMarker);if(this.negativeSkipBug){j.removeChild(k);j.style.position=g}}return h/this.em},Measured:function(i,h){if(i.bbox.width==null&&i.bbox.w&&!i.bbox.isMultiline){var g=this.getW(i);i.bbox.rw+=g-i.bbox.w;i.bbox.w=g}if(!h){h=i.parentNode}if(!h.bbox){h.bbox=i.bbox}return i},Remeasured:function(h,g){g.bbox=this.Measured(h,g).bbox},Em:function(g){if(Math.abs(g)<0.0006){return"0em"}return g.toFixed(3).replace(/\.?0+$/,"")+"em"},Percent:function(g){return(100*g).toFixed(1).replace(/\.?0+$/,"")+"%"},length2percent:function(g){return this.Percent(this.length2em(g))},length2em:function(l,j){if(typeof(l)!=="string"){l=l.toString()}if(l===""){return""}if(l===a.SIZE.NORMAL){return 1}if(l===a.SIZE.BIG){return 2}if(l===a.SIZE.SMALL){return 0.71}if(l==="infinity"){return e.BIGDIMEN}var i=this.FONTDATA.TeX_factor;if(l.match(/mathspace$/)){return e.MATHSPACE[l]*i}var h=l.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var g=parseFloat(h[1]||"1"),k=h[2];if(j==null){j=1}if(k==="em"){return g*i}if(k==="ex"){return g*e.TeX.x_height*i}if(k==="%"){return g/100*j}if(k==="px"){return g/e.em}if(k==="pt"){return g/10*i}if(k==="pc"){return g*1.2*i}if(k==="in"){return g*this.pxPerInch/e.em}if(k==="cm"){return g*this.pxPerInch/e.em/2.54}if(k==="mm"){return g*this.pxPerInch/e.em/25.4}if(k==="mu"){return g/18*i}return g*i*j},thickness2em:function(g){var h=e.TeX.rule_thickness;if(g===a.LINETHICKNESS.MEDIUM){return h}if(g===a.LINETHICKNESS.THIN){return 0.67*h}if(g===a.LINETHICKNESS.THICK){return 1.67*h}return this.length2em(g,h)},createStrut:function(j,i,k){var g=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:i+"px",width:"1px",marginRight:"-1px"}});if(k){j.insertBefore(g,j.firstChild)}else{j.appendChild(g)}return g},createBlank:function(h,g,i){var j=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(g)}});if(i){h.insertBefore(j,h.firstChild)}else{h.appendChild(j)}return j},createShift:function(h,g,j){var i=this.Element("span",{style:{marginLeft:this.Em(g)}});if(j){h.insertBefore(i,h.firstChild)}else{h.appendChild(i)}return i},createSpace:function(l,k,n,g,i){var j=this.Em(Math.max(0,k+n)),m=this.Em(-n);if(this.msieInlineBlockAlignBug){m=this.Em(e.getHD(l.parentNode).d-n)}if(l.isBox||l.className=="mspace"){l.bbox={h:k*l.scale,d:n*l.scale,w:g*l.scale,rw:g*l.scale,lw:0};l.style.height=j;l.style.verticalAlign=m}else{l=this.addElement(l,"span",{style:{height:j,verticalAlign:m}})}if(g>=0){l.style.width=this.Em(g);l.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){l.style.height=""}l.style.marginLeft=this.Em(g);if(e.safariNegativeSpaceBug&&l.parentNode.firstChild==l){this.createBlank(l,0,true)}}if(i&&i!==a.COLOR.TRANSPARENT){l.style.backgroundColor=i}return l},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em<j){p=j/this.em}if(k+m>0&&(k+m)*this.em<j){var l=1/(k+m)*(j/this.em);k*=l;m*=l}if(!i){i="solid"}else{i="solid "+i}i=this.Em(p)+" "+i;var q=this.Em(k+m),g=this.Em(-m);var n=this.addElement(o,"span",{style:{borderLeft:i,display:"inline-block",overflow:"hidden",width:0,height:q,verticalAlign:g},bbox:{h:k,d:m,w:p,rw:p,lw:0},noAdjust:true});if(p>0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(p,n,o,q,s,i){var m=(this.msieBorderWidthBug?0:2*s);var r=this.Em(n+o-m),g=this.Em(-o-s),l=this.Em(q-m);var j=this.Em(s)+" "+i;var k=this.addElement(p,"span",{style:{border:j,display:"inline-block",overflow:"hidden",width:l,height:r},bbox:{h:n,d:o,w:q,rw:q,lw:0},noAdjust:true});if(g){k.style.verticalAlign=g}return k},createStack:function(i,k,h){if(this.msiePaddingWidthBug){this.createStrut(i,0)}var j=String(h).match(/%$/);var g=(!j&&h!=null?h:0);i=this.addElement(i,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(j?"100%":this.Em(g)),height:0}});if(!k){i.parentNode.bbox=i.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:g,lw:this.BIGDIMEN,rw:(!j&&h!=null?h:-this.BIGDIMEN)};if(j){i.bbox.width=h}}return i},createBox:function(h,g){var i=this.addElement(h,"span",{style:{position:"absolute"},isBox:true});if(g!=null){i.style.width=g}return i},addBox:function(g,h){h.style.position="absolute";h.isBox=true;return g.appendChild(h)},placeBox:function(o,n,m,j){var p=o.parentNode,w=o.bbox,s=p.bbox;if(this.msiePlaceBoxBug){this.addText(o,this.NBSP)}if(this.imgSpaceBug){this.addText(o,this.imgSpace)}var q=o.offsetHeight/this.em+1,A=0;if(o.noAdjust){q-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(o,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(q)}})}else{this.addElement(o,"span",{style:{display:"inline-block",width:0,height:this.Em(q)}})}}o.style.top=this.Em(-m-q);o.style.left=this.Em(n+A);if(w){if(this.negativeSkipBug){if(w.lw<0){A=w.lw;e.createBlank(o,-A,true);i=0}if(w.rw>w.w){e.createBlank(o,w.rw-w.w+0.1)}}if(!this.msieClipRectBug&&!w.noclip&&!j){var v=3/this.em;var u=(w.H==null?w.h:w.H),h=(w.D==null?w.d:w.D);var z=q-u-v,k=q+h+v,i=w.lw-3*v,g=1000;if(w.isFixed){g=w.width-i}o.style.clip="rect("+this.Em(z)+" "+this.Em(g)+" "+this.Em(k)+" "+this.Em(i)+")"}}if(w&&s){if(w.H!=null&&(s.H==null||w.H+m>s.H)){s.H=w.H+m}if(w.D!=null&&(s.D==null||w.D-m>s.D)){s.D=w.D-m}if(w.h+m>s.h){s.h=w.h+m}if(w.d-m>s.d){s.d=w.d-m}if(s.H!=null&&s.H<=s.h){delete s.H}if(s.D!=null&&s.D<=s.d){delete s.D}if(w.w+n>s.w){s.w=w.w+n;if(s.width==null){p.style.width=this.Em(s.w)}}if(w.rw+n>s.rw){s.rw=w.rw+n}if(w.lw+n<s.lw){s.lw=w.lw+n}if(w.width!=null&&!w.isFixed){if(s.width==null){p.style.width=s.width="100%"}o.style.width=w.width}}},alignBox:function(i,o,n){this.placeBox(i,0,n);var k=i.bbox;if(k.isMultiline){return}var h=k.width!=null&&!k.isFixed;var j=0,m=-k.w/2,g="50%";if(this.negativeSkipBug){j=k.w-k.rw-0.1;m+=k.lw}m=this.Em(m*this.msieMarginScale);if(h){m="";g=(50-parseFloat(k.width)/2)+"%"}d.Insert(i.style,({right:{left:"",right:this.Em(j)},center:{left:g,marginLeft:m}})[o])},setStackWidth:function(h,g){if(typeof(g)==="number"){h.style.width=this.Em(Math.max(0,g));if(h.bbox){h.bbox.w=g}if(h.parentNode.bbox){h.parentNode.bbox.w=g}}else{h.style.width=h.parentNode.style.width="100%";if(h.bbox){h.bbox.width=g}if(h.parentNode.bbox){h.parentNode.bbox.width=g}}},createDelimiter:function(r,g,j,n,k){if(!g){r.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};r.bbox.rw=r.bbox.w;this.createSpace(r,r.bbox.h,r.bbox.d,r.bbox.w);return}if(!n){n=1}if(!(j instanceof Array)){j=[j,j]}var q=j[1];j=j[0];var h={alias:g};while(h.alias){g=h.alias;h=this.FONTDATA.DELIMITERS[g];if(!h){h={HW:[0,this.FONTDATA.VARIANT[a.VARIANT.NORMAL]]}}}for(var p=0,l=h.HW.length;p<l;p++){if(h.HW[p][0]*n>=j-0.01||(p==l-1&&!h.stretch)){if(h.HW[p][2]){n*=h.HW[p][2]}if(h.HW[p][3]){g=h.HW[p][3]}var o=this.addElement(r,"span");this.createChar(o,[g,h.HW[p][1]],n,k);r.bbox=o.bbox;r.offset=0.65*r.bbox.w;r.scale=n;return}}if(h.stretch){this["extendDelimiter"+h.dir](r,q,h.stretch,n,k)}},extendDelimiterV:function(w,q,B,C,t){var j=this.createStack(w,true);var s=this.createBox(j),r=this.createBox(j);this.createChar(s,(B.top||B.ext),C,t);this.createChar(r,(B.bot||B.ext),C,t);var i={bbox:{w:0,lw:0,rw:0}},A=i,l;var x=s.bbox.h+s.bbox.d+r.bbox.h+r.bbox.d;var o=-s.bbox.h;this.placeBox(s,0,o,true);o-=s.bbox.d;if(B.mid){A=this.createBox(j);this.createChar(A,B.mid,C,t);x+=A.bbox.h+A.bbox.d}if(q>x){i=this.Element("span");this.createChar(i,B.ext,C,t);var z=i.bbox.h+i.bbox.d,g=z-0.05,u,m,v=(B.mid?2:1);m=u=Math.ceil((q-x)/(v*g));if(!B.fullExtenders){g=(q-x)/(v*u)}var p=(u/(u+1))*(z-g);g=z-p;o+=p+g-i.bbox.h;while(v-->0){while(u-->0){if(!this.msieCloneNodeBug){l=i.cloneNode(true)}else{l=this.Element("span");this.createChar(l,B.ext,C,t)}o-=g;this.placeBox(this.addBox(j,l),0,o,true)}o+=p-i.bbox.d;if(B.mid&&v){this.placeBox(A,0,o-A.bbox.h,true);u=m;o+=-(A.bbox.h+A.bbox.d)+p+g-i.bbox.h}}}else{o+=(x-q)/2;if(B.mid){this.placeBox(A,0,o-A.bbox.h,true);o+=-(A.bbox.h+A.bbox.d)}o+=(x-q)/2}this.placeBox(r,0,o-r.bbox.h,true);o-=r.bbox.h+r.bbox.d;w.bbox={w:Math.max(s.bbox.w,i.bbox.w,r.bbox.w,A.bbox.w),lw:Math.min(s.bbox.lw,i.bbox.lw,r.bbox.lw,A.bbox.lw),rw:Math.max(s.bbox.rw,i.bbox.rw,r.bbox.rw,A.bbox.rw),h:0,d:-o};w.scale=C;w.offset=0.55*w.bbox.w;w.isMultiChar=true;this.setStackWidth(j,w.bbox.w)},extendDelimiterH:function(v,i,A,C,s){var m=this.createStack(v,true);var j=this.createBox(m),y=this.createBox(m);this.createChar(j,(A.left||A.rep),C,s);this.createChar(y,(A.right||A.rep),C,s);var g=this.Element("span");this.createChar(g,A.rep,C,s);var z={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},h;this.placeBox(j,-j.bbox.lw,0,true);var q=(j.bbox.rw-j.bbox.lw)+(y.bbox.rw-y.bbox.lw)-0.05,p=j.bbox.rw-j.bbox.lw-0.025,r;if(A.mid){z=this.createBox(m);this.createChar(z,A.mid,C,s);q+=z.bbox.w}if(i>q){var B=g.bbox.rw-g.bbox.lw,l=B-0.05,t,o,u=(A.mid?2:1);o=t=Math.ceil((i-q)/(u*l));l=(i-q)/(u*t);r=(t/(t+1))*(B-l);l=B-r;p-=g.bbox.lw+r;while(u-->0){while(t-->0){if(!this.msieCloneNodeBug){h=g.cloneNode(true)}else{h=this.Element("span");this.createChar(h,A.rep,C,s)}this.placeBox(this.addBox(m,h),p,0,true);p+=l}if(A.mid&&u){this.placeBox(z,p,0,true);p+=z.bbox.w-r;t=o}}}else{r=Math.min(q-i,j.bbox.w/2);p-=r/2;if(A.mid){this.placeBox(z,p,0,true);p+=z.bbox.w}p-=r/2}this.placeBox(y,p,0,true);v.bbox={w:p+y.bbox.rw,lw:0,rw:p+y.bbox.rw,H:Math.max(j.bbox.h,g.bbox.h,y.bbox.h,z.bbox.h),D:Math.max(j.bbox.d,g.bbox.d,y.bbox.d,z.bbox.d),h:g.bbox.h,d:g.bbox.d};v.scale=C;v.isMultiChar=true;this.setStackWidth(m,v.bbox.w)},createChar:function(p,l,j,g){var o=p,q="",k={fonts:[l[1]],noRemap:true};if(g&&g===a.VARIANT.BOLD){k.fonts=[l[1]+"-bold",l[1]]}if(typeof(l[1])!=="string"){k=l[1]}if(l[0] instanceof Array){for(var n=0,h=l[0].length;n<h;n++){q+=String.fromCharCode(l[0][n])}}else{q=String.fromCharCode(l[0])}if(j!==1){o=this.addElement(p,"span",{style:{fontSize:this.Percent(j)},scale:j});this.handleVariant(o,k,q);p.bbox=o.bbox}else{this.handleVariant(p,k,q)}if(l[2]){p.style.marginLeft=this.Em(l[2])}if(this.AccentBug&&p.bbox.w===0){o.firstChild.nodeValue+=this.NBSP;e.createSpace(p,0,0,-p.offsetWidth/e.em)}},positionDelimiter:function(i,g){g-=i.bbox.h;i.bbox.d-=g;i.bbox.h+=g;if(g){if(this.safariVerticalAlignBug||this.msieVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&i.isMultiChar)){if(i.firstChild.style.display===""&&i.style.top!==""){i=i.firstChild;g-=parseFloat(i.style.top)}i.style.position="relative";i.style.top=this.Em(-g)}else{i.style.verticalAlign=this.Em(g);if(e.ffVerticalAlignBug){e.createRule(i.parentNode,i.bbox.h,0,0)}}}},handleVariant:function(w,k,p){var 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n=this.getValues("mathcolor","color");if(this.mathbackground){n.mathbackground=this.mathbackground}if(this.background){n.background=this.background}if(this.style&&l.style.backgroundColor){n.mathbackground=l.style.backgroundColor;l.style.backgroundColor="transparent"}if(n.color&&!this.mathcolor){n.mathcolor=n.color}if(n.background&&!this.mathbackground){n.mathbackground=n.background}if(n.mathcolor){l.style.color=n.mathcolor}if(n.mathbackground&&n.mathbackground!==a.COLOR.TRANSPARENT){var o=1/e.em,k=0,j=0;if(this.isToken){k=l.bbox.lw;j=l.bbox.rw-l.bbox.w}if(l.style.paddingLeft!==""){k+=parseFloat(l.style.paddingLeft)*(l.scale||1)}if(l.style.paddingRight!==""){j-=parseFloat(l.style.paddingRight)*(l.scale||1)}var i=Math.max(0,e.getW(l)+(e.PaddingWidthBug?0:j-k));if(e.msieCharPaddingWidthBug&&l.style.paddingLeft!==""){i+=parseFloat(l.style.paddingLeft)*(l.scale||1)}var m=l.bbox.h+l.bbox.d,g=-l.bbox.d;if(i>0){i+=2*o;k-=o}if(m>0){m+=2*o;g-=o}j=-i-k;var h=e.Element("span",{id:"MathJax-Color-"+this.spanID+e.idPostfix,style:{display:"inline-block",backgroundColor:n.mathbackground,width:e.Em(i),height:e.Em(m),verticalAlign:e.Em(g),marginLeft:e.Em(k),marginRight:e.Em(j)}});if(e.msieInlineBlockAlignBug){h.style.position="relative";h.style.width=h.style.height=0;h.style.verticalAlign=h.style.marginLeft=h.style.marginRight="";e.placeBox(e.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",width:e.Em(i),height:e.Em(m),background:n.mathbackground}}),k,l.bbox.h+o)}l.parentNode.insertBefore(h,l);if(e.msieColorPositionBug){l.style.position="relative"}return h}return null},HTMLremoveColor:function(){var g=document.getElementById("MathJax-Color-"+this.spanID+e.idPostfix);if(g){g.parentNode.removeChild(g)}},HTMLhandleSpace:function(j){if(this.useMMLspacing){if(this.type!=="mo"){return}var 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h=this.HTMLspanElement();if(h.style.fontSize!=""){g.fontsize=h.style.fontSize}}if(g.fontsize&&!this.mathsize){g.mathsize=g.fontsize}if(g.scriptlevel!==0){if(g.scriptlevel>2){g.scriptlevel=2}i=Math.pow(this.Get("scriptsizemultiplier"),g.scriptlevel);g.scriptminsize=e.length2em(g.scriptminsize);if(i<g.scriptminsize){i=g.scriptminsize}}i*=e.length2em(g.mathsize);return i},HTMLgetVariant:function(){var g=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");if(this.style){var i=this.HTMLspanElement();if(i.style.fontFamily){g.fontfamily=i.style.fontFamily}if(i.style.fontWeight){g.fontweight=i.style.fontWeight}if(i.style.fontStyle){g.fontStyle=i.style.fontStyle}}var h=g.mathvariant;if(this.variantForm){h="-"+e.fontInUse+"-variant"}if(g.fontfamily&&!this.mathvariant){if(!g.fontweight&&g.mathvariant.match(/bold/)){g.fontweight="bold"}if(!g.fontstyle&&g.mathvariant.match(/italic/)){g.fontstyle="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:g.fontfamily,style:g.fontstyle,weight:g.fontweight}}}if(g.fontweight==="bold"){h={normal:a.VARIANT.BOLD,italic:a.VARIANT.BOLDITALIC,fraktur:a.VARIANT.BOLDFRAKTUR,script:a.VARIANT.BOLDSCRIPT,"sans-serif":a.VARIANT.BOLDSANSSERIF,"sans-serif-italic":a.VARIANT.SANSSERIFBOLDITALIC}[h]||h}else{if(g.fontweight==="normal"){h={bold:a.VARIANT.normal,"bold-italic":a.VARIANT.ITALIC,"bold-fraktur":a.VARIANT.FRAKTUR,"bold-script":a.VARIANT.SCRIPT,"bold-sans-serif":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.SANSSERIFITALIC}[h]||h}}if(g.fontstyle==="italic"){h={normal:a.VARIANT.ITALIC,bold:a.VARIANT.BOLDITALIC,"sans-serif":a.VARIANT.SANSSERIFITALIC,"bold-sans-serif":a.VARIANT.SANSSERIFBOLDITALIC}[h]||h}else{if(g.fontstyle==="normal"){h={italic:a.VARIANT.NORMAL,"bold-italic":a.VARIANT.BOLD,"sans-serif-italic":a.VARIANT.SANSSERIF,"sans-serif-bold-italic":a.VARIANT.BOLDSANSSERIF}[h]||h}}return 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m=this.data[1].toHTML(j);m.style.paddingRight=m.style.paddingLeft="";e.Measured(m,j)}else{j.bbox=this.HTMLzeroBBox()}var k=this.HTMLrootHeight(i.bbox.h+i.bbox.d,g,j)-l;var o=Math.min(j.bbox.w,j.bbox.rw);n=Math.max(o,i.offset);e.placeBox(j,n-o,k);return n-i.offset},HTMLrootHeight:function(i,h,g){return 0.45*(i-0.9*h)+0.6*h+Math.max(0,g.bbox.d-0.075)}});a.mfenced.Augment({toHTML:function(l){l=this.HTMLcreateSpan(l);if(this.data.open){this.data.open.toHTML(l)}if(this.data[0]!=null){this.data[0].toHTML(l)}for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){if(this.data["sep"+j]){this.data["sep"+j].toHTML(l)}this.data[j].toHTML(l)}}if(this.data.close){this.data.close.toHTML(l)}var o=this.HTMLcomputeBBox(l);var k=l.bbox.h,n=l.bbox.d;for(j=0,g=o.length;j<g;j++){o[j].HTMLstretchV(l,k,n)}if(o.length){this.HTMLcomputeBBox(l,true)}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLcomputeBBox:function(l,k){var h=l.bbox={},n=[];this.HTMLcheckStretchy(this.data.open,h,n,k);this.HTMLcheckStretchy(this.data[0],h,n,k);for(var j=1,g=this.data.length;j<g;j++){if(this.data[j]){this.HTMLcheckStretchy(this.data["sep"+j],h,n,k);this.HTMLcheckStretchy(this.data[j],h,n,k)}}this.HTMLcheckStretchy(this.data.close,h,n,k);this.HTMLcleanBBox(h);return n},HTMLcheckStretchy:function(g,h,j,i){if(g){if(!i&&g.HTMLcanStretch("Vertical")){j.push(g);g=(g.CoreMO()||g)}this.HTMLcombineBBoxes(g,h)}}});a.menclose.Augment({toHTML:a.mbase.HTMLautoload});a.maction.Augment({toHTML:a.mbase.HTMLautoload});a.semantics.Augment({toHTML:function(g){if(this.data[0]!=null){g=this.data[0].toHTML(g);this.spanID=this.data[0].spanID;this.HTMLhandleSpace(g)}return 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n=[],J=[],r,I,E,h=-e.BIGDIMEN,G=h;for(I=0,E=this.data.length;I<E;I++){if(this.data[I]!=null){r=n[I]=e.createBox(l);e.Measured(this.data[I].toHTML(r),r);if(I==this.base){if(A!=null){e.Remeasured(this.data[this.base].HTMLstretchV(r,C,A),r)}else{if(C!=null){e.Remeasured(this.data[this.base].HTMLstretchH(r,C),r)}}J[I]=(A==null&&C!=null?false:this.data[I].HTMLcanStretch("Horizontal"))}else{J[I]=this.data[I].HTMLcanStretch("Horizontal")}if(r.bbox.w>G){G=r.bbox.w}if(!J[I]&&G>h){h=G}}}if(A==null&&C!=null){h=C}else{if(h==-e.BIGDIMEN){h=G}}for(I=G=0,E=this.data.length;I<E;I++){if(this.data[I]){r=n[I];if(J[I]){r.bbox=this.data[I].HTMLstretchH(r,h).bbox}if(r.bbox.w>G){G=r.bbox.w}}}var z=e.TeX.rule_thickness,B=e.FONTDATA.TeX_factor;var j=n[this.base]||{bbox:this.HTMLzeroBBox()},K=(j.bbox.ic||0);var q,o,u,s,p,w,F;for(I=0,E=this.data.length;I<E;I++){if(this.data[I]!=null){r=n[I];p=e.TeX.big_op_spacing5*L;var 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H=this.HTMLgetScale();var k=e.createStack(E),h;var j=e.createBox(k);this.HTMLmeasureChild(this.base,j);if(this.data[this.base]){if(x!=null){e.Remeasured(this.data[this.base].HTMLstretchV(j,B,x),j)}else{if(B!=null){e.Remeasured(this.data[this.base].HTMLstretchH(j,B),j)}}}e.placeBox(j,0,0);var i=(this.data[this.sup]||this.data[this.sub]||this).HTMLgetScale();var F=e.TeX.x_height*H,w=e.TeX.scriptspace*H*0.75;var g,l;if(this.HTMLnotEmpty(this.data[this.sup])){g=e.createBox(k);e.Measured(this.data[this.sup].toHTML(g),g);g.bbox.w+=w;g.bbox.rw=Math.max(g.bbox.w,g.bbox.rw)}if(this.HTMLnotEmpty(this.data[this.sub])){l=e.createBox(k);e.Measured(this.data[this.sub].toHTML(l),l);l.bbox.w+=w;l.bbox.rw=Math.max(l.bbox.w,l.bbox.rw)}var z=e.TeX.sup_drop*i,y=e.TeX.sub_drop*i;var n=j.bbox.h-z,m=j.bbox.d+y,G=0,A;if(j.bbox.ic){G=j.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&j.bbox.scale===1&&!this.data[this.base].Get("largeop")){n=m=0}}var C=this.getValues("subscriptshift","superscriptshift");C.subscriptshift=(C.subscriptshift===""?0:e.length2em(C.subscriptshift));C.superscriptshift=(C.superscriptshift===""?0:e.length2em(C.superscriptshift));if(!g){if(l){m=Math.max(m,e.TeX.sub1*H,l.bbox.h-(4/5)*F,C.subscriptshift);e.placeBox(l,j.bbox.w+w-G,-m,l.bbox)}}else{if(!l){h=this.getValues("displaystyle","texprimestyle");A=e.TeX[(h.displaystyle?"sup1":(h.texprimestyle?"sup3":"sup2"))];n=Math.max(n,A*H,g.bbox.d+(1/4)*F,C.superscriptshift);e.placeBox(g,j.bbox.w+w,n,g.bbox)}else{m=Math.max(m,e.TeX.sub2*H);var 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