From b7c76ff0d7536a2930be3b22a1c54b6287a15e6c Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Fri, 5 Aug 2011 20:50:53 -0400 Subject: [PATCH] Fix typo in self-closing flag for mprescript tag (resolves issue #157) --- config/Accessible-full.js | 4 ++-- config/Accessible.js | 4 ++-- config/MML_HTMLorMML-full.js | 4 ++-- config/MML_HTMLorMML.js | 4 ++-- config/TeX-AMS-MML_HTMLorMML-full.js | 4 ++-- config/TeX-AMS-MML_HTMLorMML.js | 4 ++-- jax/input/MathML/config.js | 2 +- jax/input/MathML/jax.js | 2 +- unpacked/jax/input/MathML/config.js | 2 +- unpacked/jax/input/MathML/jax.js | 2 +- 10 files changed, 16 insertions(+), 16 deletions(-) diff --git a/config/Accessible-full.js b/config/Accessible-full.js index c01125e69..407c87ba5 100644 --- a/config/Accessible-full.js +++ b/config/Accessible-full.js @@ -54,7 +54,7 @@ MathJax.Hub.Config({ MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.1",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.6",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.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.7",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:"1.1.5",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]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f span":{"text-align":h+"!important"}})}},InitializeMML:function(){this.initialized=true;if(MathJax.Hub.Browser.isMSIE){try{var f=document.createElement("object");f.id="mathplayer";f.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(f);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(g){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}},Translate:function(g){if(!g.parentNode){return}if(!this.initialized){this.InitializeMML()}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return 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){i=window.event}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=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]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],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"}var j=[];var h=(this.isToken?"":k+(g?"":" "));for(var f=0,c=this.data.length;f")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+""}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+""},MathMLattributes:function(){var j=[],g=this.defaults;var c=this.copyAttributes,l=this.skipAttributes;if(this.type==="math"){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.formatAttr(k)+'"')}this[d]=k}}}for(var h=0,f=c.length;h126){e[f]="&#x"+h.toString(16).toUpperCase()+";"}else{var g={"&":"&","<":"<",">":">",'"':"""}[e[f]];if(g){e[f]=g}}}return e.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f\n"+g.join("\n")+"\n"+h+""}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f\n"+g.join("\n")+"\n"+h+""}});a.TeXAtom.Augment({toMathML:function(c){return c+"\n"+this.data[0].toMathML(c+" ")+"\n"+c+""}});a.chars.Augment({toMathML:function(c){return(c||"")+this.quoteHTML(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f span":{"text-align":h+"!important"}})}},InitializeMML:function(){this.initialized=true;if(MathJax.Hub.Browser.isMSIE){try{var f=document.createElement("object");f.id="mathplayer";f.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(f);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(g){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}},Translate:function(g){if(!g.parentNode){return}if(!this.initialized){this.InitializeMML()}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return 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){i=window.event}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=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"}var j=[];var h=(this.isToken?"":k+(g?"":" "));for(var f=0,c=this.data.length;f")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+""}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+""},MathMLattributes:function(){var j=[],g=this.defaults;var c=this.copyAttributes,l=this.skipAttributes;if(this.type==="math"){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.formatAttr(k)+'"')}this[d]=k}}}for(var h=0,f=c.length;h126){e[f]="&#x"+h.toString(16).toUpperCase()+";"}else{var g={"&":"&","<":"<",">":">",'"':"""}[e[f]];if(g){e[f]=g}}}return e.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f\n"+g.join("\n")+"\n"+h+""}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.MathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f\n"+g.join("\n")+"\n"+h+""}});a.TeXAtom.Augment({toMathML:function(c){return c+"\n"+this.data[0].toMathML(c+" ")+"\n"+c+""}});a.chars.Augment({toMathML:function(c){return(c||"")+this.quoteHTML(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,c){var a;b.Parse=MathJax.Object.Subclass({Init:function(d){this.Parse(d)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{if(g.match(/^<[a-z]+:/i)&&!g.match(/^<[^<>]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],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]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f span":{"text-align":h+"!important"}})}},InitializeMML:function(){this.initialized=true;if(MathJax.Hub.Browser.isMSIE){try{var f=document.createElement("object");f.id="mathplayer";f.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(f);document.namespaces.add("mjx","http://www.w3.org/1998/Math/MathML");document.namespaces.mjx.doImport("#mathplayer")}catch(g){alert("MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.")}}},Translate:function(g){if(!g.parentNode){return}if(!this.initialized){this.InitializeMML()}var k=g.previousSibling;if(k&&String(k.className).match(/^MathJax(_MathML|_Display)?$/)){k.parentNode.removeChild(k)}var j=g.MathJax.elementJax.root;var i=(j.Get("display")==="block"?"div":"span");var h=document.createElement(i),f=h;h.className="MathJax_MathML";h.style.fontSize=this.config.scale+"%";if(c&&this.config.showMathMenuMSIE){f=MathJax.HTML.addElement(h,"span",{className:"MathJax_MathContainer",style:{display:"inline-block",position:"relative"}})}j.toNativeMML(f);g.parentNode.insertBefore(h,g);if(c){if(this.config.showMathMenuMSIE){this.MSIEoverlay(h)}}else{j=h.firstChild;j.oncontextmenu=this.ContextMenu;j.onmouseover=this.Mouseover;j.onmousedown=this.Mousedown;j.onclick=this.Click;j.ondblclick=this.DblClick}},Remove:function(f){var g=f.SourceElement();if(!g){return}g=g.previousSibling;if(!g){return}if(g.className.match(/MathJax_MathML/)){g.parentNode.removeChild(g)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var l=m.firstChild;m.style.position="absolute";var n=m.scrollHeight,h=m.offsetWidth;var j=MathJax.HTML.addElement(m,"img",{src:"about:blank",style:{width:0,height:n+"px"}});var f=m.scrollHeight-n;m.removeChild(j);m.style.position="";var k,i,g=(m.parentNode.nodeName.toLowerCase()==="div");if(g&&this.quirks){k=-n;i=Math.floor(-h/2)}else{k=f-n,i=-h}MathJax.HTML.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{style:{display:"inline-block",position:"absolute",left:i+"px",top:k+"px",width:l.offsetWidth+"px",height:n+"px",cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"},onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent}]])},MSIEmath:function(f){var g=f.parentNode.previousSibling.firstChild;return(g.nodeName.toLowerCase()==="span"?g.firstChild:g)},MSIEevent:function(){var g=b.MSIEmath(this);var f=window.event;var h=b["MSIE"+f.type];if(h&&h.call(b,f,g,this)){return false}g.fireEvent("on"+f.type,f);return 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){i=window.event}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=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]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f]* xmlns:/)){g=g.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var d=g.match(/^(])+)>)/i);if(d&&d[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){g=d[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+g.substr(d[0].length)}g=g.replace(/^\s*(?:\/\/)?\s*$/,"$2");g=g.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);h=b.ParseXML(g);if(h==null){b.Error("Error parsing MathML")}}var f=h.getElementsByTagName("parsererror")[0];if(f){b.Error("Error parsing MathML: "+f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""))}if(h.childNodes.length!==1){b.Error("MathML must be formed by a single element")}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){b.Error("Error parsing MathML: "+String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,""))}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){b.Error("MathML must be formed by a element, not <"+h.firstChild.nodeName+">")}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var l=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");if(!(a[l]&&a[l].isa&&a[l].isa(a.mbase))){return a.merror("Unknown node type: "+l)}var d=a[l](),k,j,e,n;for(k=0,j=h.attributes.length;k").replace(/&/g,"&")}}g=this.prefilterMath(g,d)}try{e=b.Parse(g).mml}catch(f){if(!f.mathmlError){throw f}e=this.formatError(f,g,d)}return a(e)},prefilterMath:function(e,d){return e},prefilterMathML:function(d){return d},formatError:function(f,e,d){return a.merror(f.message.replace(/\n.*/,""))},Error:function(d){throw MathJax.Hub.Insert(Error(d),{mathmlError:true})},parseDOM:function(d){return this.parser.parseFromString(d,"text/xml")},parseMS:function(d){return(this.parser.loadXML(d)?this.parser:null)},parseDIV:function(d){this.div.innerHTML=d.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>");return this.div},parseError:function(d){return null},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){var e=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var f=0,d=e.length;f