From b82c4ac6eee7ed0c66e948c4fa3bd986c35e5e6e Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Mon, 27 Feb 2012 15:17:26 -0500 Subject: [PATCH] Fix typo in renderer-switching message for Forefox MML --- config/AM_HTMLorMML-full.js | 2 +- config/AM_HTMLorMML.js | 2 +- config/Accessible-full.js | 2 +- config/Accessible.js | 2 +- config/MML_HTMLorMML-full.js | 2 +- config/MML_HTMLorMML.js | 2 +- config/TeX-AMS-MML_HTMLorMML-full.js | 2 +- config/TeX-AMS-MML_HTMLorMML.js | 2 +- config/TeX-AMS-MML_SVG-full.js | 2 +- config/TeX-AMS-MML_SVG.js | 2 +- config/TeX-AMS_HTML-full.js | 2 +- config/TeX-AMS_HTML.js | 2 +- config/TeX-MML-AM_HTMLorMML-full.js | 2 +- config/TeX-MML-AM_HTMLorMML.js | 2 +- extensions/MathMenu.js | 2 +- unpacked/extensions/MathMenu.js | 2 +- 16 files changed, 16 insertions(+), 16 deletions(-) diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js index 616535c1a..6fdfe03a9 100644 --- a/config/AM_HTMLorMML-full.js +++ b/config/AM_HTMLorMML-full.js @@ -47,7 +47,7 @@ MathJax.Extension.asciimath2jax={version:"2.0",config:{delimiters:[["`","`"]],sk (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/AM_HTMLorMML.js b/config/AM_HTMLorMML.js index 541a9da4f..f92d3757b 100644 --- a/config/AM_HTMLorMML.js +++ b/config/AM_HTMLorMML.js @@ -44,7 +44,7 @@ MathJax.Extension.asciimath2jax={version:"2.0",config:{delimiters:[["`","`"]],sk (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/Accessible-full.js b/config/Accessible-full.js index b22a5cfd3..4aaefa7f6 100644 --- a/config/Accessible-full.js +++ b/config/Accessible-full.js @@ -70,7 +70,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/Accessible.js b/config/Accessible.js index 0457f387c..893d2f1fd 100644 --- a/config/Accessible.js +++ b/config/Accessible.js @@ -67,7 +67,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js index c7265dc96..d720701a3 100644 --- a/config/MML_HTMLorMML-full.js +++ b/config/MML_HTMLorMML-full.js @@ -47,7 +47,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/MML_HTMLorMML.js b/config/MML_HTMLorMML.js index f2c48ecd9..2f191e072 100644 --- a/config/MML_HTMLorMML.js +++ b/config/MML_HTMLorMML.js @@ -44,7 +44,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js index fb58eee18..7df0fa9b0 100644 --- a/config/TeX-AMS-MML_HTMLorMML-full.js +++ b/config/TeX-AMS-MML_HTMLorMML-full.js @@ -58,7 +58,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-AMS-MML_HTMLorMML.js b/config/TeX-AMS-MML_HTMLorMML.js index 4d4f71f00..72b19010f 100644 --- a/config/TeX-AMS-MML_HTMLorMML.js +++ b/config/TeX-AMS-MML_HTMLorMML.js @@ -55,7 +55,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js index 6722b54ed..296100a36 100644 --- a/config/TeX-AMS-MML_SVG-full.js +++ b/config/TeX-AMS-MML_SVG-full.js @@ -49,7 +49,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-AMS-MML_SVG.js b/config/TeX-AMS-MML_SVG.js index 63a720615..edff8804b 100644 --- a/config/TeX-AMS-MML_SVG.js +++ b/config/TeX-AMS-MML_SVG.js @@ -47,7 +47,7 @@ MathJax.Extension.mml2jax={version:"2.0",config:{preview:"alttext"},MMLnamespace (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js index e1971a570..940e2dc1d 100644 --- a/config/TeX-AMS_HTML-full.js +++ b/config/TeX-AMS_HTML-full.js @@ -42,7 +42,7 @@ MathJax.Extension.tex2jax={version:"2.0",config:{inlineMath:[["\\(","\\)"]],disp (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-AMS_HTML.js b/config/TeX-AMS_HTML.js index baaa4a3a4..3d1230f7b 100644 --- a/config/TeX-AMS_HTML.js +++ b/config/TeX-AMS_HTML.js @@ -40,7 +40,7 @@ MathJax.Extension.tex2jax={version:"2.0",config:{inlineMath:[["\\(","\\)"]],disp (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js index 9de81a50a..5c2692730 100644 --- a/config/TeX-MML-AM_HTMLorMML-full.js +++ b/config/TeX-MML-AM_HTMLorMML-full.js @@ -65,7 +65,7 @@ MathJax.Extension.asciimath2jax={version:"2.0",config:{delimiters:[["`","`"]],sk (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/config/TeX-MML-AM_HTMLorMML.js b/config/TeX-MML-AM_HTMLorMML.js index 058933afd..840b50845 100644 --- a/config/TeX-MML-AM_HTMLorMML.js +++ b/config/TeX-MML-AM_HTMLorMML.js @@ -62,7 +62,7 @@ MathJax.Extension.asciimath2jax={version:"2.0",config:{delimiters:[["`","`"]],sk (function(a,d,f,c,j){var k="2.0";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"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)"},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.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":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.0",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/extensions/MathMenu.js b/extensions/MathMenu.js index 188996f90..d4e47af24 100644 --- a/extensions/MathMenu.js +++ b/extensions/MathMenu.js @@ -12,5 +12,5 @@ * http://www.apache.org/licenses/LICENSE-2.0 */ -(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions my render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); +(function(c,g,k,f,b){var p="2.0";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:j};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var o=c.CombineConfig("MathMenu",{delay:150,helpURL:"http://www.mathjax.org/help-v2/user/",closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable: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:(n?"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":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"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:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuTitle":{"background-color":"#CCCCCC",margin:(n?"-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":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(q){this.items=[].slice.call(arguments,0)},With:function(q){if(q){c.Insert(this,q)}return this},Post:function(r,B){if(!r){r=window.event}var z=(!this.title?null:[["div",{className:"MathJax_MenuTitle"},[this.title]]]);var q=document.getElementById("MathJax_MenuFrame");if(!q){q=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var s=g.addElement(q,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"},z);for(var u=0,t=this.items.length;udocument.body.offsetWidth-this.margin){A=document.body.offsetWidth-s.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(s.offsetWidth/2));w-=20}a.skipUp=r.isContextMenu}else{var v="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);w=0;while(B&&B!==q){A+=B.offsetLeft;w+=B.offsetTop;B=B.parentNode}if(A+s.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){v="right";A=Math.max(this.margin,A-C-s.offsetWidth+6)}if(!n){s.style["borderRadiusTop"+v]=0;s.style["WebkitBorderRadiusTop"+v]=0;s.style["MozBorderRadiusTop"+v]=0;s.style["KhtmlBorderRadiusTop"+v]=0}}s.style.left=A+"px";s.style.top=w+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(r)},Remove:function(q,r){j.Post(["unpost",a.jax]);var s=document.getElementById("MathJax_MenuFrame");if(s){s.parentNode.removeChild(s);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(q)},Find:function(r){var t=[].slice.call(arguments,1);for(var s=0,q=this.items.length;s=0&&w.parentNode.menuItem!==v[q].menuItem){v[q].menuItem.posted=false;v[q].parentNode.removeChild(v[q]);q--}if(this.Timer&&!a.isMobile){this.Timer(u,w)}}},Mouseout:function(q,r){if(!this.menu||!this.menu.posted){this.Deactivate(r)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(q,r){return this.Remove(q,r)},Touchstart:function(q,r){return this.TouchEvent(q,r,"Mousedown")},Touchend:function(q,r){return this.TouchEvent(q,r,"Mouseup")},TouchEvent:function(r,s,q){if(this!==m.lastItem){if(m.lastMenu){a.Event(r,m.lastMenu,"Mouseout")}a.Event(r,s,"Mouseover",true);m.lastItem=this;m.lastMenu=s}if(this.nativeTouch){return null}a.Event(r,s,q);return false},Remove:function(q,r){r=r.parentNode.menuItem;return r.Remove(q,r)},Activate:function(q){this.Deactivate(q);q.className+=" MathJax_MenuActive"},Deactivate:function(q){q.className=q.className.replace(/ MathJax_MenuActive/,"")},With:function(q){if(q){c.Insert(this,q)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(q,s,r){this.name=q;this.action=s;this.With(r)},Label:function(q,r){return[this.name]},Mouseup:function(q,r){if(!this.disabled){this.Remove(q,r);j.Post(["command",this]);this.action.call(this,q)}return h(q)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(q,s){this.name=q;var r=1;if(!(s instanceof a.ITEM)){this.With(s),r++}this.menu=a.apply(a,[].slice.call(arguments,r))},Label:function(q,r){this.menu.posted=false;return[this.name+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(q,r){if(this.timer){clearTimeout(this.timer)}q={clientX:q.clientX,clientY:q.clientY};this.timer=setTimeout(f(["Mouseup",this,q,r]),o.delay)},Touchend:function(r,t){var s=this.menu.posted;var q=this.SUPER(arguments).Touchend.apply(this,arguments);if(s){this.Deactivate(t);delete m.lastItem;delete m.lastMenu}return q},Mouseup:function(r,t){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(r,t)}else{var s=document.getElementById("MathJax_MenuFrame").childNodes,q=s.length-1;while(q>=0){var u=s[q];u.menuItem.posted=false;u.parentNode.removeChild(u);if(u.menuItem===this.menu){break}q--}}}return h(r)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(r,q,s){this.name=r;this.variable=q;this.With(s);if(this.value==null){this.value=this.name}},Label:function(r,s){var q={className:"MathJax_MenuRadioCheck"};if(o.settings[this.variable]!==this.value){q={style:{display:"none"}}}return[["span",q,[this.marker]]," "+this.name]},Mouseup:function(t,u){if(!this.disabled){var v=u.parentNode.childNodes;for(var r=0,q=v.length;r/g,">");if(a.isMobile){s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("
");s.document.write("");s.document.close()}else{s.document.open();s.document.write("MathJax Equation Source");s.document.write("
"+z+"
");s.document.write("");s.document.close();var u=s.document.body.firstChild;var t=(s.outerHeight-s.innerHeight)||30,r=(s.outerWidth-s.innerWidth)||30;r=Math.min(Math.floor(0.5*screen.width),u.offsetWidth+r+25);t=Math.min(Math.floor(0.5*screen.height),u.offsetHeight+t+25);s.resizeTo(r,t);if(v&&v.screenX!=null){var q=Math.max(0,Math.min(v.screenX-Math.floor(r/2),screen.width-r-20)),A=Math.max(0,Math.min(v.screenY-Math.floor(t/2),screen.height-t-20));s.moveTo(q,A)}}delete a.ShowSource.w};a.Scale=function(){var r=b["HTML-CSS"],q=b.NativeMML;var t=(r?r.config.scale:q.config.scale);var s=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(s){if(s.match(/^\s*\d+\s*%?\s*$/)){s=parseInt(s);if(s){if(s!==t){if(r){r.config.scale=s}if(q){q.config.scale=s}a.cookie.scale=s;a.saveCookie();c.Reprocess()}}else{alert("The scale should not be zero")}}else{alert("The scale should be a perentage (e.g., 120%)")}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var r=c.outputJax["jax/mml"];if(r[0]!==o.settings.renderer){var u=c.Browser,t,q=a.Renderer.Messages,s;switch(o.settings.renderer){case"NativeMML":if(!o.settings.warnedMML){if(u.isChrome||(u.isSafari&&!u.versionAtLeast("5.0"))){t=q.MML.WebKit}else{if(u.isMSIE){if(!u.hasMathPlayer){t=q.MML.MSIE}}else{t=q.MML[u]}}s="warnedMML"}break;case"SVG":if(!o.settings.warnedSVG){if(u.isMSIE&&!e){t=q.SVG.MSIE}}break}if(t){t+="\n\nSwitch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)";a.cookie.renderer=r[0].id;a.saveCookie();if(!confirm(t)){return}if(s){a.cookie[s]=o.settings[s]=true}a.cookie.renderer=o.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,o.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIE:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",Opera:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",Firefox:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may render improperly."},SVG:{MSIE:"SVG is not implemented in Internet Explorer prior to IE9, or when the browser is emulating IE8 or below. Switching to SVG output will cause the mathemtics to not display properly."}};a.Font=function(){var q=b["HTML-CSS"];if(!q){return}document.location.reload()};a.MPEvents=function(s){var r=o.settings.discoverable,q=a.MPEvents.Messages;if(!e){if(o.settings.mpMouse&&!confirm(q.IE8warning)){delete a.cookie.mpContext;delete o.settings.mpContext;delete a.cookie.mpMouse;delete o.settings.mpMouse;a.saveCookie();return}o.settings.mpContext=o.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=o.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!r&&s.name==="Menu Events"&&o.settings.mpContext){alert(q.IE9warning)}}};a.MPEvents.Messages={IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."};c.Browser.Select({MSIE:function(q){var r=(document.compatMode==="BackCompat");var s=q.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:true,msieFixedPositionBug:(r||!s),msieAboutBug:r});if(e){delete o.styles["#MathJax_About"].filter;delete o.styles[".MathJax_Menu"].filter}},Firefox:function(q){a.skipMouseover=q.isMobile&&q.versionAtLeast("6.0");a.skipMousedown=q.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;c.Register.StartupHook("End Config",function(){o.settings=c.config.menuSettings;if(typeof(o.settings.showRenderer)!=="undefined"){o.showRenderer=o.settings.showRenderer}if(typeof(o.settings.showFontMenu)!=="undefined"){o.showFontMenu=o.settings.showFontMenu}if(typeof(o.settings.showContext)!=="undefined"){o.showContext=o.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU("Show Math As",m.COMMAND("MathML Code",a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND("Original Form",a.ShowSource,{nativeTouch:true}),m.RULE(),m.CHECKBOX("Show TeX hints in MathML","texHints")),m.RULE(),m.SUBMENU("Math Settings",m.SUBMENU("Zoom Trigger",m.RADIO("Hover","zoom",{action:a.Zoom}),m.RADIO("Click","zoom",{action:a.Zoom}),m.RADIO("Double-Click","zoom",{action:a.Zoom}),m.RADIO("No Zoom","zoom",{value:"None"}),m.RULE(),m.LABEL("Trigger Requires:"),m.CHECKBOX((c.Browser.isMac?"Option":"Alt"),"ALT"),m.CHECKBOX("Command","CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX("Control","CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX("Shift","Shift")),m.SUBMENU("Zoom Factor",m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU("Math Renderer",{hidden:!o.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!o.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL("Let MathPlayer Handle:"),m.CHECKBOX("Menu Events","mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse Events","mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX("Mouse and Menu Events","mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU("Font Preference",{hidden:!o.showFontMenu},m.LABEL("For HTML-CSS:"),m.RADIO("Auto","font",{action:a.Font}),m.RULE(),m.RADIO("TeX (local)","font",{action:a.Font}),m.RADIO("TeX (web)","font",{action:a.Font}),m.RADIO("TeX (image)","font",{action:a.Font}),m.RULE(),m.RADIO("STIX (local)","font",{action:a.Font})),m.SUBMENU("Contextual Menu",{hidden:!o.showContext},m.RADIO("MathJax","context"),m.RADIO("Browser","context")),m.COMMAND("Scale All Math ...",a.Scale),m.RULE().With({hidden:!o.showDiscoverable,name:"discover_rule"}),m.CHECKBOX("Highlight on Hover","discoverable",{hidden:!o.showDiscoverable})),m.RULE(),m.COMMAND("About MathJax",a.About),m.COMMAND("MathJax Help",a.Help));if(a.isMobile){(function(){var r=o.settings;var q=a.menu.Find("Math Settings","Zoom Trigger").menu;q.items[0].disabled=q.items[1].disabled=true;if(r.zoom==="Hover"||r.zoom=="Click"){r.zoom="None"}q.items=q.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}});a.showRenderer=function(q){a.cookie.showRenderer=o.showRenderer=q;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!q};a.showMathPlayer=function(q){a.cookie.showMathPlayer=o.showMathPlayer=q;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!q};a.showFontMenu=function(q){a.cookie.showFontMenu=o.showFontMenu=q;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!q};a.showContext=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!q};a.showDiscoverable=function(q){a.cookie.showContext=o.showContext=q;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!q;a.menu.Find("Math Settings","discover_rule").hidden=!q};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,o.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax); diff --git a/unpacked/extensions/MathMenu.js b/unpacked/extensions/MathMenu.js index d0273543b..7a23fb433 100644 --- a/unpacked/extensions/MathMenu.js +++ b/unpacked/extensions/MathMenu.js @@ -806,7 +806,7 @@ "MathML output may cause some expressions to render poorly.", Firefox: "Your browser's native MathML does not implement all the features " + - "used by MathJax, so some expressions my render improperly." + "used by MathJax, so some expressions may render improperly." }, SVG: {