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"math/mml";parent.insertBefore(script,math);var mml="",node,MATH=math;while(math&&math.nodeName!=="/MATH"){node=math;math=math.nextSibling;mml+=this.NodeHTML(node);node.parentNode.removeChild(node);}if(math&&math.nodeName==="/MATH"){math.parentNode.removeChild(math)}script.text=mml+"</math>";if(this.config.preview!=="none"){this.createPreview(MATH,script)}},NodeHTML:function(node){var html,i,m;if(node.nodeName==="#text"){html=this.quoteHTML(node.nodeValue);}else if(node.nodeName==="#comment"){html="<!--"+node.nodeValue+"-->"}else{html="<"+node.nodeName.toLowerCase();for(i=0,m=node.attributes.length;i<m;i++){var attribute=node.attributes[i];if(attribute.specified){html+=" "+attribute.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var value=attribute.nodeValue;if(value==null&&attribute.nodeName==="style"&&node.style){value=node.style.cssText}html+='"'+this.quoteHTML(value)+'"';}}html+=">";if(node.outerHTML!=null&&node.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(i=0,m=node.
childNodes.length;i<m;i++){html+=this.OuterHTML(node.childNodes[i])}html+="</"+node.nodeName.toLowerCase()+">";}}return html;},OuterHTML:function(node){if(node.nodeName.charAt(0)==="#"){return this.NodeHTML(node)}if(!this.AttributeBug){return node.outerHTML}var html=this.NodeHTML(node);for(var i=0,m=node.childNodes.length;i<m;i++){html+=this.OuterHTML(node.childNodes[i]);}html+="</"+node.nodeName.toLowerCase()+">";return html;},quoteHTML:function(string){if(string==null){string=""}return string.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;");},createPreview:function(math,script){var preview=this.config.preview;if(preview==="none")return;var isNodePreview=false;if(preview==="mathml"){isNodePreview=true;if(this.MathTagBug){preview="alttext"}else{preview=math.cloneNode(false)}}if(preview==="alttext"||preview==="altimg"){isNodePreview=true;var alttext=this.filterPreview(math.getAttribute("alttext"));if(preview==="alttext"){if(alttext!=null){preview=
MathJax.HTML.TextNode(alttext)}else{preview=null}}else{var src=math.getAttribute("altimg");if(src!=null){var style={width:math.getAttribute("altimg-width"),height:math.getAttribute("altimg-height")};preview=MathJax.HTML.Element("img",{src:src,alt:alttext,style:style});}else{preview=null}}}if(preview){var span;if(isNodePreview){span=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});span.appendChild(preview);}else{span=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},preview);}script.parentNode.insertBefore(span,script);}},filterPreview:function(text){return text},InitBrowser:function(){var test=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var html=test.outerHTML||"";this.AttributeBug=html!==""&&!(html.match(/id="&lt;"/)&&html.match(/class="mathjax"/)&&html.match(/<\/math>/));this.MathTagBug=test.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE;}};MathJax.Hub.
Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");},{},{});mw.loader.implement("ext.math.mathjax.extensions.ui",function($,jQuery){(function(HUB,HTML,AJAX,CALLBACK,LOCALE,OUTPUT,INPUT){var VERSION="2.3";var EXTENSION=MathJax.Extension;var ME=EXTENSION.MathEvents={version:VERSION};var SETTINGS=HUB.config.menuSettings;var CONFIG={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:AJAX.fileURL(OUTPUT.imageDir+"/MenuArrow-15.png")},fadeinInc:.2,fadeoutInc:.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:
"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var EVENT=ME.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(event){return EVENT.Handler(event,"Mousedown",this)},Mouseup:function(event){return EVENT.Handler(event,"Mouseup",this)},Mousemove:function(event){return EVENT.Handler(event,"Mousemove",this)},Mouseover:function(event){return EVENT.Handler(event,"Mouseover",this)},Mouseout:function(event){return EVENT.Handler(event,"Mouseout",this)},Click:function(event){return EVENT.Handler(event,"Click",this)},DblClick:function(event){return EVENT.Handler(event,"DblClick",this)},Menu:function(event){return EVENT.Handler(event,"ContextMenu",this)},Handler:function(event,type,math){if(AJAX.loadingMathMenu){return EVENT.False(event)}var jax=OUTPUT[math.jaxID];if(!event){event=window.event}event.isContextMenu=(type==="ContextMenu");if(jax[type]){return jax[type](event,math)}if(EXTENSION.MathZoom){
return EXTENSION.MathZoom.HandleEvent(event,type,math)}},False:function(event){if(!event){event=window.event}if(event){if(event.preventDefault){event.preventDefault()}if(event.stopPropagation){event.stopPropagation()}event.cancelBubble=true;event.returnValue=false;}return false;},ContextMenu:function(event,math,force){var JAX=OUTPUT[math.jaxID],jax=JAX.getJaxFromMath(math);var show=(JAX.config.showMathMenu!=null?JAX:HUB).config.showMathMenu;if(!show||(SETTINGS.context!=="MathJax"&&!force))return;if(ME.msieEventBug){event=window.event||event}EVENT.ClearSelection();HOVER.ClearHoverTimer();if(jax.hover){if(jax.hover.remove){clearTimeout(jax.hover.remove);delete jax.hover.remove}jax.hover.nofade=true;}var MENU=MathJax.Menu;var load,fn;if(MENU){if(MENU.loadingDomain){return EVENT.False(event)}load=LOCALE.loadDomain("MathMenu");if(!load){MENU.jax=jax;var source=MENU.menu.Find("Show Math As").menu;source.items[0].name=jax.sourceMenuTitle;source.items[0].format=(jax.sourceMenuFormat||"MathML")
;source.items[1].name=INPUT[jax.inputJax].sourceMenuTitle;var annotations=source.items[2];annotations.disabled=true;var annotationItems=annotations.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var i=0,m=annotationItems.length;i<m;i++){var name=annotationItems[i].name[1]
if(jax.root&&jax.root.getAnnotation(name)!==null){annotations.disabled=false;annotationItems[i].hidden=false;}else{annotationItems[i].hidden=true;}}var MathPlayer=MENU.menu.Find("Math Settings","MathPlayer");MathPlayer.hidden=!(jax.outputJax==="NativeMML"&&HUB.Browser.hasMathPlayer);return MENU.menu.Post(event);}MENU.loadingDomain=true;fn=function(){delete MENU.loadingDomain};}else{if(AJAX.loadingMathMenu){return EVENT.False(event)}AJAX.loadingMathMenu=true;load=AJAX.Require("[MathJax]/extensions/MathMenu.js");fn=function(){delete AJAX.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var ev={pageX:event.pageX,pageY:event.pageY,clientX:event.clientX,clientY:event.clientY};CALLBACK.Queue(load,fn,["ContextMenu",EVENT,ev,math,force]);return EVENT.False(event);},AltContextMenu:function(event,math){var JAX=OUTPUT[math.jaxID];var show=(JAX.config.showMathMenu!=null?JAX:HUB).config.showMathMenu;if(show){show=(JAX.config.showMathMenuMSIE!=null?JAX:HUB).config.showMathMenuMSIE;if(SETTINGS.
context==="MathJax"&&!SETTINGS.mpContext&&show){if(!ME.noContextMenuBug||event.button!==EVENT.RIGHTBUTTON)return;}else{if(!event[EVENT.MENUKEY]||event.button!==EVENT.LEFTBUTTON)return;}return JAX.ContextMenu(event,math,true);}},ClearSelection:function(){if(ME.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(span){span.appendChild(ME.topImg);var h=ME.topImg.offsetTop,d=span.offsetHeight-h,w=span.offsetWidth;span.removeChild(ME.topImg);return{w:w,h:h,d:d};}};var HOVER=ME.Hover={Mouseover:function(event,math){if(SETTINGS.discoverable||SETTINGS.zoom==="Hover"){var from=event.fromElement||event.relatedTarget,to=event.toElement||event.target;if(from&&to&&(from.isMathJax!=to.isMathJax||HUB.getJaxFor(from)!==HUB.getJaxFor(to))){var jax=this.getJaxFromMath(math);if(jax.hover){HOVER.ReHover(jax)}else{HOVER.HoverTimer(jax,math)}return EVENT.False(event);}}},Mouseout:function(event,math){if(
SETTINGS.discoverable||SETTINGS.zoom==="Hover"){var from=event.fromElement||event.relatedTarget,to=event.toElement||event.target;if(from&&to&&(from.isMathJax!=to.isMathJax||HUB.getJaxFor(from)!==HUB.getJaxFor(to))){var jax=this.getJaxFromMath(math);if(jax.hover){HOVER.UnHover(jax)}else{HOVER.ClearHoverTimer()}return EVENT.False(event);}}},Mousemove:function(event,math){if(SETTINGS.discoverable||SETTINGS.zoom==="Hover"){var jax=this.getJaxFromMath(math);if(jax.hover)return;if(HOVER.lastX==event.clientX&&HOVER.lastY==event.clientY)return;HOVER.lastX=event.clientX;HOVER.lastY=event.clientY;HOVER.HoverTimer(jax,math);return EVENT.False(event);}},HoverTimer:function(jax,math){this.ClearHoverTimer();this.hoverTimer=setTimeout(CALLBACK(["Hover",this,jax,math]),CONFIG.hover);},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(jax,math){if(EXTENSION.MathZoom&&EXTENSION.MathZoom.Hover({},math))return;var JAX=OUTPUT[jax.outputJax]
,span=JAX.getHoverSpan(jax,math),bbox=JAX.getHoverBBox(jax,span,math),show=(JAX.config.showMathMenu!=null?JAX:HUB).config.showMathMenu;var dx=CONFIG.frame.x,dy=CONFIG.frame.y,dd=CONFIG.frame.bwidth;if(ME.msieBorderWidthBug){dd=0}jax.hover={opacity:0,id:jax.inputID+"-Hover"};var frame=HTML.Element("span",{id:jax.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-bbox.h-dy-dd-(bbox.y||0)),left:this.Px(-dx-dd+(bbox.x||0)),width:this.Px(bbox.w+2*dx),height:this.Px(bbox.h+bbox.d+2*dy),opacity:0,filter:"alpha(opacity=0)"}}]]);var button=HTML.Element("span",{isMathJax:true,id:jax.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:math,src:CONFIG.button.src,onclick:this.HoverMenu,jax:JAX.id,style:{left:this.Px(bbox.w+dx+dd+(bbox.
x||0)+CONFIG.button.x),top:this.Px(-bbox.h-dy-dd-(bbox.y||0)-CONFIG.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(bbox.width){frame.style.width=button.style.width=bbox.width;frame.style.marginRight=button.style.marginRight="-"+bbox.width;frame.firstChild.style.width=bbox.width;button.firstChild.style.left="";button.firstChild.style.right=this.Px(CONFIG.button.wx);}span.parentNode.insertBefore(frame,span);if(show){span.parentNode.insertBefore(button,span)}if(span.style){span.style.position="relative"}this.ReHover(jax);},ReHover:function(jax){if(jax.hover.remove){clearTimeout(jax.hover.remove)}jax.hover.remove=setTimeout(CALLBACK(["UnHover",this,jax]),CONFIG.fadeoutDelay);this.HoverFadeTimer(jax,CONFIG.fadeinInc);},UnHover:function(jax){if(!jax.hover.nofade){this.HoverFadeTimer(jax,-CONFIG.fadeoutInc,CONFIG.fadeoutStart)}},HoverFade:function(jax){delete jax.hover.timer;jax.hover.opacity=Math.max(0,Math.min(1,jax.hover.opacity+jax.hover.inc));jax.hover.opacity=Math.floor(1000*jax.
hover.opacity)/1000;var frame=document.getElementById(jax.hover.id),button=document.getElementById(jax.hover.id+"Menu");frame.firstChild.style.opacity=jax.hover.opacity;frame.firstChild.style.filter="alpha(opacity="+Math.floor(100*jax.hover.opacity)+")";if(button){button.firstChild.style.opacity=jax.hover.opacity;button.firstChild.style.filter=frame.style.filter;}if(jax.hover.opacity===1){return}if(jax.hover.opacity>0){this.HoverFadeTimer(jax,jax.hover.inc);return}frame.parentNode.removeChild(frame);if(button){button.parentNode.removeChild(button)}if(jax.hover.remove){clearTimeout(jax.hover.remove)}delete jax.hover;},HoverFadeTimer:function(jax,inc,delay){jax.hover.inc=inc;if(!jax.hover.timer){jax.hover.timer=setTimeout(CALLBACK(["HoverFade",this,jax]),(delay||CONFIG.fadeDelay));}},HoverMenu:function(event){if(!event){event=window.event}return OUTPUT[this.jax].ContextMenu(event,this.math,true);},ClearHover:function(jax){if(jax.hover.remove){clearTimeout(jax.hover.remove)}if(jax.hover.
timer){clearTimeout(jax.hover.timer)}HOVER.ClearHoverTimer();delete jax.hover;},Px:function(m){if(Math.abs(m)<.006){return"0px"}return m.toFixed(2).replace(/\.?0+$/,"")+"px";},getImages:function(){var menu=new Image();menu.src=CONFIG.button.src;}};var TOUCH=ME.Touch={last:0,delay:500,start:function(event){var now=new Date().getTime();var dblTap=(now-TOUCH.last<TOUCH.delay&&TOUCH.up);TOUCH.last=now;TOUCH.up=false;if(dblTap){TOUCH.timeout=setTimeout(TOUCH.menu,TOUCH.delay,event,this);event.preventDefault();}},end:function(event){var now=new Date().getTime();TOUCH.up=(now-TOUCH.last<TOUCH.delay);if(TOUCH.timeout){clearTimeout(TOUCH.timeout);delete TOUCH.timeout;TOUCH.last=0;TOUCH.up=false;event.preventDefault();return EVENT.Handler((event.touches[0]||event.touch),"DblClick",this);}},menu:function(event,math){delete TOUCH.timeout;TOUCH.last=0;TOUCH.up=false;return EVENT.Handler((event.touches[0]||event.touch),"ContextMenu",math);}};if(HUB.Browser.isMobile){var arrow=CONFIG.styles[
".MathJax_Hover_Arrow"];arrow.width="25px";arrow.height="18px";CONFIG.button.x=-6;}HUB.Browser.Select({MSIE:function(browser){var mode=(document.documentMode||0);var isIE8=browser.versionAtLeast("8.0");ME.msieBorderWidthBug=(document.compatMode==="BackCompat");ME.msieEventBug=browser.isIE9;ME.msieAlignBug=(!isIE8||mode<8);if(mode<9){EVENT.LEFTBUTTON=1}},Safari:function(browser){ME.safariContextMenuBug=true;},Opera:function(browser){ME.operaPositionBug=true;},Konqueror:function(browser){ME.noContextMenuBug=true;}});ME.topImg=(ME.msieAlignBug?HTML.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):HTML.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(ME.operaPositionBug){ME.topImg.style.border="1px solid"}ME.config=CONFIG=HUB.CombineConfig("MathEvents",CONFIG);var SETFRAME=function(){var haze=CONFIG.styles[".MathJax_Hover_Frame"];haze.border=CONFIG.frame.bwidth+"px solid "+CONFIG.frame.bcolor+" ! important";haze["box-shadow"]=haze[
"-webkit-box-shadow"]=haze["-moz-box-shadow"]=haze["-khtml-box-shadow"]="0px 0px "+CONFIG.frame.hwidth+" "+CONFIG.frame.hcolor;};CALLBACK.Queue(HUB.Register.StartupHook("End Config",{}),[SETFRAME],["getImages",HOVER],["Styles",AJAX,CONFIG.styles],["Post",HUB.Startup.signal,"MathEvents Ready"],["loadComplete",AJAX,"[MathJax]/extensions/MathEvents.js"]);})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);(function(HUB,HTML,AJAX,HTMLCSS,nMML){var VERSION="2.3";var CONFIG=HUB.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_ZoomFrame":{position:"relative",display:"inline-block",height:0,width: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 FALSE,HOVER,EVENT;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){EVENT=MathJax.Extension.MathEvents.Event;FALSE=MathJax.Extension.MathEvents.Event.False;HOVER=MathJax.Extension.MathEvents.Hover;});var ZOOM=MathJax.Extension.MathZoom={
version:VERSION,settings:HUB.config.menuSettings,scrollSize:18,HandleEvent:function(event,type,math){if(ZOOM.settings.CTRL&&!event.ctrlKey)return true;if(ZOOM.settings.ALT&&!event.altKey)return true;if(ZOOM.settings.CMD&&!event.metaKey)return true;if(ZOOM.settings.Shift&&!event.shiftKey)return true;if(!ZOOM[type])return true;return ZOOM[type](event,math);},Click:function(event,math){if(this.settings.zoom==="Click"){return this.Zoom(event,math)}},DblClick:function(event,math){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(event,math)}},Hover:function(event,math){if(this.settings.zoom==="Hover"){this.Zoom(event,math);return true}return false;},Zoom:function(event,math){this.Remove();HOVER.ClearHoverTimer();EVENT.ClearSelection();var JAX=MathJax.OutputJax[math.jaxID];var jax=JAX.getJaxFromMath(math);if(jax.hover){HOVER.UnHover(jax)}var Mw=Math.floor(.85*document.body.clientWidth),Mh=Math.floor(.85*Math.max(document.body.clientHeight,document.
documentElement.clientHeight));var div=HTML.Element("span",{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":Mw+"px","max-height":Mh+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var zoom=div.lastChild,span=zoom.firstChild,overlay=div.firstChild;math.parentNode.insertBefore(div,math);math.parentNode.insertBefore(math,div);if(span.addEventListener){span.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var trap=HTML.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});div.insertBefore(trap,zoom);}if(this.msieZIndexBug){var tracker=HTML.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});div.style.position="relative";div.style.zIndex=CONFIG.styles["#MathJax_ZoomOverlay"]["z-index"];
div=tracker;}var bbox=JAX.Zoom(jax,span,math,Mw,Mh);if(this.msiePositionBug){if(this.msieSizeBug){zoom.style.height=bbox.zH+"px";zoom.style.width=bbox.zW+"px"}if(zoom.offsetHeight>Mh){zoom.style.height=Mh+"px";zoom.style.width=(bbox.zW+this.scrollSize)+"px"}if(zoom.offsetWidth>Mw){zoom.style.width=Mw+"px";zoom.style.height=(bbox.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){zoom.style.width=Math.min(Mw,bbox.zW)+"px"}if(zoom.offsetWidth&&zoom.offsetWidth<Mw&&zoom.offsetHeight<Mh){zoom.style.overflow="visible"}this.Position(zoom,bbox);if(this.msieTrapEventBug){trap.style.height=zoom.clientHeight+"px";trap.style.width=zoom.clientWidth+"px";trap.style.left=(parseFloat(zoom.style.left)+zoom.clientLeft)+"px";trap.style.top=(parseFloat(zoom.style.top)+zoom.clientTop)+"px";}zoom.style.visibility="";if(this.settings.zoom==="Hover"){overlay.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else if(window.attachEvent){attachEvent("onresize",
this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}HUB.signal.Post(["math zoomed",jax]);return FALSE(event);},Position:function(zoom,bbox){var XY=this.Resize(),x=XY.x,y=XY.y,W=bbox.mW;var dx=-W-Math.floor((zoom.offsetWidth-W)/2),dy=bbox.Y;zoom.style.left=Math.max(dx,10-x)+"px";zoom.style.top=Math.max(dy,10-y)+"px";if(!ZOOM.msiePositionBug){ZOOM.SetWH()}},Resize:function(event){if(ZOOM.onresize){ZOOM.onresize(event)}var div=document.getElementById("MathJax_ZoomFrame"),overlay=document.getElementById("MathJax_ZoomOverlay");var xy=ZOOM.getXY(div);var obj=div.parentNode,overflow=ZOOM.getOverflow(obj);while(obj.parentNode&&obj!==document.body&&overflow==="visible"){obj=obj.parentNode
overflow=ZOOM.getOverflow(obj);}if(overflow!=="visible"){overlay.scroll_parent=obj;var XY=ZOOM.getXY(obj);xy.x-=XY.x;xy.y-=XY.y;XY=ZOOM.getBorder(obj);xy.x-=XY.x;xy.y-=XY.y;}overlay.style.left=(-xy.x)+"px";overlay.style.top=(-xy.y)+"px";if(ZOOM.msiePositionBug){setTimeout(ZOOM.SetWH,0)}else{ZOOM.SetWH()}return xy;},SetWH:function(){var overlay=document.getElementById("MathJax_ZoomOverlay");overlay.style.width=overlay.style.height="1px";var doc=overlay.scroll_parent||document.documentElement||document.body;overlay.style.width=doc.scrollWidth+"px";overlay.style.height=Math.max(doc.clientHeight,doc.scrollHeight)+"px";},getOverflow:(window.getComputedStyle?function(obj){return getComputedStyle(obj).overflow}:function(obj){return(obj.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(obj){var size={thin:1,medium:2,thick:3};var style=(window.getComputedStyle?getComputedStyle(obj):(obj.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var x=style.borderLeftWidth,y=style.
borderTopWidth;if(size[x]){x=size[x]}else{x=parseInt(x)}if(size[y]){y=size[y]}else{y=parseInt(y)}return{x:x,y:y};},getXY:function(div){var x=0,y=0,obj;obj=div;while(obj.offsetParent){x+=obj.offsetLeft;obj=obj.offsetParent}if(ZOOM.operaPositionBug){div.style.border="1px solid"}obj=div;while(obj.offsetParent){y+=obj.offsetTop;obj=obj.offsetParent}if(ZOOM.operaPositionBug){div.style.border=""}return{x:x,y:y};},Remove:function(event){var div=document.getElementById("MathJax_ZoomFrame");if(div){var JAX=MathJax.OutputJax[div.previousSibling.jaxID];var jax=JAX.getJaxFromMath(div.previousSibling);HUB.signal.Post(["math unzoomed",jax]);div.parentNode.removeChild(div);div=document.getElementById("MathJax_ZoomTracker");if(div){div.parentNode.removeChild(div)}if(ZOOM.operaRefreshBug){var overlay=HTML.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(overlay);}if(window
.removeEventListener){removeEventListener("resize",ZOOM.Resize,false)}else if(window.detachEvent){detachEvent("onresize",ZOOM.Resize)}else{window.onresize=ZOOM.onresize;delete ZOOM.onresize}}return FALSE(event);}};HUB.Browser.Select({MSIE:function(browser){var mode=(document.documentMode||0);var isIE9=(mode>=9);ZOOM.msiePositionBug=!isIE9;ZOOM.msieSizeBug=browser.versionAtLeast("7.0")&&(!document.documentMode||mode===7||mode===8);ZOOM.msieZIndexBug=(mode<=7);ZOOM.msieInlineBlockAlignBug=(mode<=7);ZOOM.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){ZOOM.scrollSize=52}if(isIE9){delete CONFIG.styles["#MathJax_Zoom"].filter}},Opera:function(browser){ZOOM.operaPositionBug=true;ZOOM.operaRefreshBug=true;}});ZOOM.topImg=(ZOOM.msieInlineBlockAlignBug?HTML.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):HTML.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(ZOOM.operaPositionBug||ZOOM.msieTopBug){ZOOM.topImg.
style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",AJAX,CONFIG.styles],["Post",HUB.Startup.signal,"MathZoom Ready"],["loadComplete",AJAX,"[MathJax]/extensions/MathZoom.js"]);})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);(function(HUB,HTML,AJAX,CALLBACK,OUTPUT){var VERSION="2.3";var SIGNAL=MathJax.Callback.Signal("menu")
MathJax.Extension.MathMenu={version:VERSION,signal:SIGNAL};var _=function(id){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",id]].concat([].slice.call(arguments,1)));};var isPC=HUB.Browser.isPC,isMSIE=HUB.Browser.isMSIE,isIE9=((document.documentMode||0)>8);var ROUND=(isPC?null:"5px");var CONFIG=HUB.CombineConfig("MathMenu",{delay:150,closeImg:AJAX.fileURL(OUTPUT.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{"TeX":["TeX","LaTeX","application/x-tex"],"StarMath":["StarMath 5.0"],"Maple":["Maple"],"ContentMathML":["MathML-Content","application/mathml-content+xml"],"OpenMath":["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{
"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 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:(isPC?"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":ROUND,"-webkit-border-radius":ROUND,"-moz-border-radius":ROUND,"-khtml-border-radius":ROUND,"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:(isPC?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(isMSIE?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(isMSIE?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:
"absolute",left:(isPC?"1em":".7em")},".MathJax_MenuLabel":{padding:(isPC?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(isPC?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(isPC?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(isPC?"Highlight":"#606872"),color:(isPC?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var FALSE,HOVER;HUB.Register.StartupHook("MathEvents Ready",function(){FALSE=MathJax.Extension.MathEvents.Event.False;HOVER=MathJax.Extension.MathEvents.Hover;});var MENU=MathJax.Menu=MathJax.Object.Subclass({version:VERSION,items:[],posted:false,title:null,margin:5,Init:function(def){this.items=[].slice.call(arguments,0)},With:function(def){if(def){HUB.Insert(this,def)};return this},Post:function(event,parent){if(!event){event=window.event};var div=document.getElementById(
"MathJax_MenuFrame");if(!div){div=MENU.Background(this);delete ITEM.lastItem;delete ITEM.lastMenu;delete MENU.skipUp;SIGNAL.Post(["post",MENU.jax]);}var menu=HTML.addElement(div,"div",{onmouseup:MENU.Mouseup,ondblclick:FALSE,ondragstart:FALSE,onselectstart:FALSE,oncontextmenu:FALSE,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(menu);for(var i=0,m=this.items.length;i<m;i++){this.items[i].Create(menu)}if(MENU.isMobile){HTML.addElement(menu,"span",{className:"MathJax_Menu_Close",menu:parent,ontouchstart:MENU.Close,ontouchend:FALSE,onmousedown:MENU.Close,onmouseup:FALSE},[["img",{src:CONFIG.closeImg,style:{width:"100%",height:"100%"}}]]);}this.posted=true;menu.style.width=(menu.offsetWidth+2)+"px";var x=event.pageX,y=event.pageY;if(!x&&!y){x=event.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;y=event.clientY+document.body.scrollTop+document.documentElement.scrollTop;}if(!parent){if(x+menu.offsetWidth>document.body.offsetWidth-this.margin){x=
document.body.offsetWidth-menu.offsetWidth-this.margin}if(MENU.isMobile){x=Math.max(5,x-Math.floor(menu.offsetWidth/2));y-=20}MENU.skipUp=event.isContextMenu;}else{var side="left",mw=parent.offsetWidth;x=(MENU.isMobile?30:mw-2);y=0;while(parent&&parent!==div){x+=parent.offsetLeft;y+=parent.offsetTop;parent=parent.parentNode;}if(x+menu.offsetWidth>document.body.offsetWidth-this.margin&&!MENU.isMobile){side="right";x=Math.max(this.margin,x-mw-menu.offsetWidth+6)}if(!isPC){menu.style["borderRadiusTop"+side]=0;menu.style["WebkitBorderRadiusTop"+side]=0;menu.style["MozBorderRadiusTop"+side]=0;menu.style["KhtmlBorderRadiusTop"+side]=0;}}menu.style.left=x+"px";menu.style.top=y+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return FALSE(event);},Remove:function(event,menu){SIGNAL.Post(["unpost",MENU.jax]);var div=document.getElementById("MathJax_MenuFrame");if(div){div.parentNode.removeChild(div);if(this.msieFixedPositionBug){detachEvent("onresize",MENU.Resize
)}}if(MENU.jax.hover){delete MENU.jax.hover.nofade;HOVER.UnHover(MENU.jax);}return FALSE(event);},Find:function(name){return this.FindN(1,name,[].slice.call(arguments,1))},FindId:function(name){return this.FindN(0,name,[].slice.call(arguments,1))},FindN:function(n,name,names){for(var i=0,m=this.items.length;i<m;i++){if(this.items[i].name[n]===name){if(names.length){if(!this.items[i].menu){return null}return this.items[i].menu.FindN(n,names[0],names.slice(1));}return this.items[i];}}return null;},IndexOf:function(name){return this.IndexOfN(1,name)},IndexOfId:function(name){return this.IndexOfN(0,name)},IndexOfN:function(n,name){for(var i=0,m=this.items.length;i<m;i++){if(this.items[i].name[n]===name){return i}}return null;}},{config:CONFIG,div:null,Close:function(event){return MENU.Event(event,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(event){return MENU.Event(event,this,"Remove")},Mouseover:function(event){return MENU.Event(event,this,"Mouseover")},
Mouseout:function(event){return MENU.Event(event,this,"Mouseout")},Mousedown:function(event){return MENU.Event(event,this,"Mousedown")},Mouseup:function(event){return MENU.Event(event,this,"Mouseup")},Touchstart:function(event){return MENU.Event(event,this,"Touchstart")},Touchend:function(event){return MENU.Event(event,this,"Touchend")},Event:function(event,menu,type,force){if(MENU.skipMouseover&&type==="Mouseover"&&!force){return FALSE(event)}if(MENU.skipUp){if(type.match(/Mouseup|Touchend/)){delete MENU.skipUp;return FALSE(event)}if(type==="Touchstart"||(type==="Mousedown"&&!MENU.skipMousedown)){delete MENU.skipUp}}if(!event){event=window.event}var item=menu.menuItem;if(item&&item[type]){return item[type](event,menu)}return null;},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(menu){var div=HTML.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,
menuItem:menu,onmousedown:this.Remove}]]);var bg=div.firstChild;if(MENU.msieBackgroundBug){bg.style.backgroundColor="white";bg.style.filter="alpha(opacity=0)";}if(MENU.msieFixedPositionBug){div.width=div.height=0;this.Resize();attachEvent("onresize",this.Resize);}else{bg.style.position="fixed";}return div;},Resize:function(){setTimeout(MENU.SetWH,0)},SetWH:function(){var bg=document.getElementById("MathJax_MenuFrame");if(bg){bg=bg.firstChild;bg.style.width=bg.style.height="1px";bg.style.width=document.body.scrollWidth+"px";bg.style.height=document.body.scrollHeight+"px";}},saveCookie:function(){HTML.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=HTML.Cookie.Get("menu")},getImages:function(){if(MENU.isMobile){var close=new Image();close.src=CONFIG.closeImg}}});var ITEM=MENU.ITEM=MathJax.Object.Subclass({name:"",Create:function(menu){if(!this.hidden){var def={onmouseover:MENU.Mouseover,onmouseout:MENU.Mouseout,onmouseup:MENU.Mouseup,onmousedown:MENU.Mousedown,
ondragstart:FALSE,onselectstart:FALSE,onselectend:FALSE,ontouchstart:MENU.Touchstart,ontouchend:MENU.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){def.className+=" MathJax_MenuDisabled"}HTML.addElement(menu,"div",def,this.Label(def,menu));}},Name:function(){return _(this.name[0],this.name[1])},Mouseover:function(event,menu){if(!this.disabled){this.Activate(menu)}if(!this.menu||!this.menu.posted){var menus=document.getElementById("MathJax_MenuFrame").childNodes,items=menu.parentNode.childNodes;for(var i=0,m=items.length;i<m;i++){var item=items[i].menuItem;if(item&&item.menu&&item.menu.posted){item.Deactivate(items[i])}}m=menus.length-1;while(m>=0&&menu.parentNode.menuItem!==menus[m].menuItem){menus[m].menuItem.posted=false;menus[m].parentNode.removeChild(menus[m]);m--;}if(this.Timer&&!MENU.isMobile){this.Timer(event,menu)}}},Mouseout:function(event,menu){if(!this.menu||!this.menu.posted){this.Deactivate(menu)}if(this.timer){clearTimeout(this.timer);delete this.
timer}},Mouseup:function(event,menu){return this.Remove(event,menu)},Touchstart:function(event,menu){return this.TouchEvent(event,menu,"Mousedown")},Touchend:function(event,menu){return this.TouchEvent(event,menu,"Mouseup")},TouchEvent:function(event,menu,type){if(this!==ITEM.lastItem){if(ITEM.lastMenu){MENU.Event(event,ITEM.lastMenu,"Mouseout")}MENU.Event(event,menu,"Mouseover",true);ITEM.lastItem=this;ITEM.lastMenu=menu;}if(this.nativeTouch){return null}MENU.Event(event,menu,type);return false;},Remove:function(event,menu){menu=menu.parentNode.menuItem;return menu.Remove(event,menu);},Activate:function(menu){this.Deactivate(menu);menu.className+=" MathJax_MenuActive"},Deactivate:function(menu){menu.className=menu.className.replace(/ MathJax_MenuActive/,"")},With:function(def){if(def){HUB.Insert(this,def)};return this}});MENU.ITEM.COMMAND=MENU.ITEM.Subclass({action:function(){},Init:function(name,action,def){if(!(name instanceof Array)){name=[name,name]}this.name=name;this.action=
action;this.With(def);},Label:function(def,menu){return[this.Name()]},Mouseup:function(event,menu){if(!this.disabled){this.Remove(event,menu);SIGNAL.Post(["command",this]);this.action.call(this,event);}return FALSE(event);}});MENU.ITEM.SUBMENU=MENU.ITEM.Subclass({menu:null,marker:(isPC&&!HUB.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(name,def){if(!(name instanceof Array)){name=[name,name]}this.name=name;var i=1;if(!(def instanceof MENU.ITEM)){this.With(def),i++}this.menu=MENU.apply(MENU,[].slice.call(arguments,i));},Label:function(def,menu){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]];},Timer:function(event,menu){if(this.timer){clearTimeout(this.timer)}event={clientX:event.clientX,clientY:event.clientY};this.timer=setTimeout(CALLBACK(["Mouseup",this,event,menu]),CONFIG.delay);},Touchend:function(event,menu){var forceout=this.menu.posted;var result=this.SUPER(arguments).Touchend.apply(this,arguments);if(forceout){this.
Deactivate(menu);delete ITEM.lastItem;delete ITEM.lastMenu}return result;},Mouseup:function(event,menu){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(event,menu);}else{var menus=document.getElementById("MathJax_MenuFrame").childNodes,m=menus.length-1;while(m>=0){var child=menus[m];child.menuItem.posted=false;child.parentNode.removeChild(child);if(child.menuItem===this.menu){break};m--;}}}return FALSE(event);}});MENU.ITEM.RADIO=MENU.ITEM.Subclass({variable:null,marker:(isPC?"\u25CF":"\u2713"),Init:function(name,variable,def){if(!(name instanceof Array)){name=[name,name]}this.name=name;this.variable=variable;this.With(def);if(this.value==null){this.value=this.name[0]}},Label:function(def,menu){var span={className:"MathJax_MenuRadioCheck"};if(CONFIG.settings[this.variable]!==this.value){span={style:{display:"none"}}}return[["span",span,[this.marker]]," "+this.Name()];},Mouseup:function(event,menu){if(!this.disabled){var
child=menu.parentNode.childNodes;for(var i=0,m=child.length;i<m;i++){var item=child[i].menuItem;if(item&&item.variable===this.variable){child[i].firstChild.style.display="none"}}menu.firstChild.display="";CONFIG.settings[this.variable]=this.value;MENU.cookie[this.variable]=CONFIG.settings[this.variable];MENU.saveCookie();SIGNAL.Post(["radio button",this]);}this.Remove(event,menu);if(this.action&&!this.disabled){this.action.call(MENU,this)}return FALSE(event);}});MENU.ITEM.CHECKBOX=MENU.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(name,variable,def){if(!(name instanceof Array)){name=[name,name]}this.name=name;this.variable=variable;this.With(def);},Label:function(def,menu){var span={className:"MathJax_MenuCheck"};if(!CONFIG.settings[this.variable]){span={style:{display:"none"}}}return[["span",span,[this.marker]]," "+this.Name()];},Mouseup:function(event,menu){if(!this.disabled){menu.firstChild.display=(CONFIG.settings[this.variable]?"none":"");CONFIG.settings[this.variable
]=!CONFIG.settings[this.variable];MENU.cookie[this.variable]=CONFIG.settings[this.variable];MENU.saveCookie();SIGNAL.Post(["checkbox",this]);}this.Remove(event,menu);if(this.action&&!this.disabled){this.action.call(MENU,this)}return FALSE(event);}});MENU.ITEM.LABEL=MENU.ITEM.Subclass({Init:function(name,def){if(!(name instanceof Array)){name=[name,name]}this.name=name;this.With(def);},Label:function(def,menu){delete def.onmouseover,delete def.onmouseout;delete def.onmousedown;def.className+=" MathJax_MenuLabel";return[this.Name()];}});MENU.ITEM.RULE=MENU.ITEM.Subclass({Label:function(def,menu){delete def.onmouseover,delete def.onmouseout;delete def.onmousedown;def.className+=" MathJax_MenuRule";return null;}});MENU.About=function(){var HTMLCSS=OUTPUT["HTML-CSS"]||{};var font=(HTMLCSS.imgFonts?"image":(HTMLCSS.fontInUse?(HTMLCSS.webFonts?"web":"local")+" "+HTMLCSS.fontInUse:(OUTPUT.SVG?"web SVG":"generic")))+" fonts";var format=(!HTMLCSS.webFonts||HTMLCSS.imgFonts?null:HTMLCSS.
allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var jax=["MathJax.js v"+MathJax.fileversion,["br"]];jax.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);MENU.About.GetJax(jax,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);MENU.About.GetJax(jax,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);MENU.About.GetJax(jax,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);jax.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);MENU.About.GetJax(jax,MathJax.Extension,["Extension","%1 Extension v%2"],true);jax.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[HUB.Browser+" v"+HUB.Browser.version+(format?" \u2014 "+_(format.replace(/ /g,""),format):"")]]);MENU.About.div=MENU.Background(MENU.About);var about=HTML.addElement(MENU.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],_(font.replace(/ /g,""),"using "+font),["br"],["br"],["span",{style:{display:
"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},jax],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:CONFIG.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:MENU.About.Remove}]]);MathJax.Localization.setCSS(about);var doc=(document.documentElement||{});var H=window.innerHeight||doc.clientHeight||doc.scrollHeight||0;if(MENU.prototype.msieAboutBug){about.style.width="20em";about.style.position="absolute";about.style.left=Math.floor((document.documentElement.scrollWidth-about.offsetWidth)/2)+"px";about.style.top=(Math.floor((H-about.offsetHeight)/3)+document.body.scrollTop)+"px";}else{about.style.marginLeft=Math.floor(-about.offsetWidth/2)+"px";about.style.top=Math.floor((H-about.offsetHeight)/3)+"px";}};MENU.About.Remove=function(event){if(MENU.About.div){document.body.removeChild(MENU.About.div)
;delete MENU.About.div}};MENU.About.GetJax=function(jax,JAX,type,noTypeCheck){var info=[];for(var id in JAX){if(JAX.hasOwnProperty(id)&&JAX[id]){if((noTypeCheck&&JAX[id].version)||(JAX[id].isa&&JAX[id].isa(JAX))){info.push(_(type[0],type[1],(JAX[id].id||id),JAX[id].version))}}}info.sort();for(var i=0,m=info.length;i<m;i++){jax.push(info[i],["br"])}return jax;};MENU.Help=function(){AJAX.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()});};MENU.ShowSource=function(event){if(!event){event=window.event}var EVENT={screenX:event.screenX,screenY:event.screenY};if(!MENU.jax)return;if(this.format==="MathML"){var MML=MathJax.ElementJax.mml;if(MML&&typeof(MML.mbase.prototype.toMathML)!=="undefined"){try{MENU.ShowSource.Text(MENU.jax.root.toMathML(),event)}catch(err){if(!err.restart){throw err}CALLBACK.After([this,MENU.ShowSource,EVENT],err.restart);}}else if(!AJAX.loadingToMathML){AJAX.loadingToMathML=true;MENU.ShowSource.Window(event);CALLBACK.Queue(AJAX.
Require("[MathJax]/extensions/toMathML.js"),function(){delete AJAX.loadingToMathML;if(!MML.mbase.prototype.toMathML){MML.mbase.prototype.toMathML=function(){}}},[this,MENU.ShowSource,EVENT]);return;}}else if(this.format==="Error"){MENU.ShowSource.Text(MENU.jax.errorText,event);}else if(CONFIG.semanticsAnnotations[this.format]){var annotation=MENU.jax.root.getAnnotation(this.format);if(annotation.data[0])MENU.ShowSource.Text(annotation.data[0].toString());}else{if(MENU.jax.originalText==null){alert(_("NoOriginalForm","No original form available"));return;}MENU.ShowSource.Text(MENU.jax.originalText,event);}};MENU.ShowSource.Window=function(event){if(!MENU.ShowSource.w){var def=[],DEF=CONFIG.windowSettings;for(var id in DEF){if(DEF.hasOwnProperty(id)){def.push(id+"="+DEF[id])}}MENU.ShowSource.w=window.open("","_blank",def.join(","));}return MENU.ShowSource.w;};MENU.ShowSource.Text=function(text,event){var w=MENU.ShowSource.Window(event);delete MENU.ShowSource.w;text=text.replace(/^\s*/,""
).replace(/\s*$/,"");text=text.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var title=_("EqSource","MathJax Equation Source");if(MENU.isMobile){w.document.open();w.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+title+"</title></head><body style='font-size:85%'>");w.document.write("<pre>"+text+"</pre>");w.document.write("<hr><input type='button' value='"+_("Close","Close")+"' onclick='window.close()' />");w.document.write("</body></html>");w.document.close();}else{w.document.open();w.document.write("<html><head><title>"+title+"</title></head><body style='font-size:85%'>");w.document.write("<table><tr><td><pre>"+text+"</pre></td></tr></table>");w.document.write("</body></html>");w.document.close();var table=w.document.body.firstChild;setTimeout(function(){var H=(w.outerHeight-w.innerHeight)||30,W=(w.outerWidth-w.innerWidth)||30,x,y;W=Math.max(100,Math.min(Math.floor(.5*screen.width),table.offsetWidth+W+25));
H=Math.max(40,Math.min(Math.floor(.5*screen.height),table.offsetHeight+H+25));w.resizeTo(W,H);if(event&&event.screenX!=null){x=Math.max(0,Math.min(event.screenX-Math.floor(W/2),screen.width-W-20));y=Math.max(0,Math.min(event.screenY-Math.floor(H/2),screen.height-H-20));w.moveTo(x,y);}},50);}};MENU.Scale=function(){var HTMLCSS=OUTPUT["HTML-CSS"],nMML=OUTPUT.NativeMML,SVG=OUTPUT.SVG;var SCALE=(HTMLCSS||nMML||SVG||{config:{scale:100}}).config.scale;var scale=prompt(_("ScaleMath","Scale all mathematics (compared to surrounding text) by"),SCALE+"%");if(scale){if(scale.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){scale=parseFloat(scale);if(scale){if(scale!==SCALE){if(HTMLCSS){HTMLCSS.config.scale=scale}if(nMML){nMML.config.scale=scale}if(SVG){SVG.config.scale=scale}MENU.cookie.scale=scale;MENU.saveCookie();HUB.Reprocess();}}else{alert(_("NonZeroScale","The scale should not be zero"))}}else{alert(_("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};MENU.Zoom=function(){if(!MathJax.
Extension.MathZoom){AJAX.Require("[MathJax]/extensions/MathZoom.js")}};MENU.Renderer=function(){var jax=HUB.outputJax["jax/mml"];if(jax[0]!==CONFIG.settings.renderer){var BROWSER=HUB.Browser,message,MESSAGE=MENU.Renderer.Messages,warned;switch(CONFIG.settings.renderer){case"NativeMML":if(!CONFIG.settings.warnedMML){if(BROWSER.isChrome&&BROWSER.version.substr(0,3)!=="24."){message=MESSAGE.MML.WebKit}else if(BROWSER.isSafari&&!BROWSER.versionAtLeast("5.0")){message=MESSAGE.MML.WebKit}else if(BROWSER.isMSIE){if(!BROWSER.hasMathPlayer){message=MESSAGE.MML.MSIE}}else{message=MESSAGE.MML[BROWSER]}warned="warnedMML";}break;case"SVG":if(!CONFIG.settings.warnedSVG){if(BROWSER.isMSIE&&!isIE9){message=MESSAGE.SVG.MSIE}}break;}if(message){message=_(message[0],message[1]);message+="\n\n";message+=_("SwitchAnyway","Switch the renderer anyway?\n\n"+"(Press OK to switch, CANCEL to continue with the current renderer)");MENU.cookie.renderer=jax[0].id;MENU.saveCookie();if(!confirm(message)){MENU.cookie.
renderer=CONFIG.settings.renderer=HTML.Cookie.Get("menu").renderer;MENU.saveCookie();return;}if(warned){MENU.cookie.warned=CONFIG.settings.warned=true}MENU.cookie.renderer=CONFIG.settings.renderer;MENU.saveCookie();}HUB.Queue(["setRenderer",HUB,CONFIG.settings.renderer,"jax/mml"],["Rerender",HUB]);}};MENU.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","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:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin "+"in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to "+"MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features "+"used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning",
"Your browser's native MathML does not implement all the features "+"used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to "+"IE9 or when it is emulating IE8 or below. "+"Switching to SVG output will cause the mathematics to "+"not display properly."]}};MENU.Font=function(){var HTMLCSS=OUTPUT["HTML-CSS"];if(!HTMLCSS)return;document.location.reload();};MENU.Locale=function(){MathJax.Localization.setLocale(CONFIG.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub]);};MENU.LoadLocale=function(){var url=prompt(_("LoadURL","Load translation data from this URL:"));if(url){if(!url.match(/\.js$/)){alert(_("BadURL","The URL should be for a javascript file that defines MathJax translation data.  "+"Javascript file names should end with '.js'"));}AJAX.Require(url,function(status){if(status!=AJAX.STATUS.OK){alert(_("BadData","Failed to load translation data from %1",url))}});}};MENU.MPEvents=
function(item){var discoverable=CONFIG.settings.discoverable,MESSAGE=MENU.MPEvents.Messages;if(!isIE9){if(CONFIG.settings.mpMouse&&!confirm(_.apply(_,MESSAGE.IE8warning))){delete MENU.cookie.mpContext;delete CONFIG.settings.mpContext;delete MENU.cookie.mpMouse;delete CONFIG.settings.mpMouse;MENU.saveCookie();return;}CONFIG.settings.mpContext=CONFIG.settings.mpMouse;MENU.cookie.mpContext=MENU.cookie.mpMouse=CONFIG.settings.mpMouse;MENU.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else if(!discoverable&&item.name[1]==="Menu Events"&&CONFIG.settings.mpContext){alert(_.apply(_,MESSAGE.IE9warning));}};MENU.MPEvents.Messages={IE8warning:["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:["IE9warning","The MathJax contextual menu will be disabled, but you can "+"Alt-Click on an expression to obtain the MathJax menu instead."]};
HUB.Browser.Select({MSIE:function(browser){var quirks=(document.compatMode==="BackCompat");var isIE8=browser.versionAtLeast("8.0")&&document.documentMode>7;MENU.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(quirks||!isIE8),msieAboutBug:quirks});if(isIE9){delete CONFIG.styles["#MathJax_About"].filter;delete CONFIG.styles[".MathJax_Menu"].filter;}},Firefox:function(browser){MENU.skipMouseover=browser.isMobile&&browser.versionAtLeast("6.0");MENU.skipMousedown=browser.isMobile;}});MENU.isMobile=HUB.Browser.isMobile;MENU.noContextMenu=HUB.Browser.noContextMenu;MENU.CreateLocaleMenu=function(){if(!MENU.menu)return;var menu=MENU.menu.Find("Language").menu,items=menu.items;var locales=[],LOCALE=MathJax.Localization.strings;for(var id in LOCALE){if(LOCALE.hasOwnProperty(id)){locales.push(id)}}locales=locales.sort();menu.items=[];for(var i=0,m=locales.length;i<m;i++){var title=LOCALE[locales[i]].menuTitle;if(title){title+=" ("+locales[i]+")"}else{title=
locales[i]}menu.items.push(ITEM.RADIO([locales[i],title],"locale",{action:MENU.Locale}));}menu.items.push(items[items.length-2],items[items.length-1]);};MENU.CreateAnnotationMenu=function(){if(!MENU.menu)return;var menu=MENU.menu.Find("Show Math As","Annotation").menu;var annotations=CONFIG.semanticsAnnotations;for(var a in annotations){if(annotations.hasOwnProperty(a)){menu.items.push(ITEM.COMMAND([a,a],MENU.ShowSource,{hidden:true,nativeTouch:true,format:a}));}}};HUB.Register.StartupHook("End Config",function(){CONFIG.settings=HUB.config.menuSettings;if(typeof(CONFIG.settings.showRenderer)!=="undefined"){CONFIG.showRenderer=CONFIG.settings.showRenderer}if(typeof(CONFIG.settings.showFontMenu)!=="undefined"){CONFIG.showFontMenu=CONFIG.settings.showFontMenu}if(typeof(CONFIG.settings.showContext)!=="undefined"){CONFIG.showContext=CONFIG.settings.showContext}MENU.getCookie();MENU.menu=MENU(ITEM.SUBMENU(["Show","Show Math As"],ITEM.COMMAND(["MathMLcode","MathML Code"],MENU.ShowSource,{
nativeTouch:true,format:"MathML"}),ITEM.COMMAND(["Original","Original Form"],MENU.ShowSource,{nativeTouch:true}),ITEM.SUBMENU(["Annotation","Annotation"],{disabled:true}),ITEM.RULE(),ITEM.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),ITEM.RULE(),ITEM.SUBMENU(["Settings","Math Settings"],ITEM.SUBMENU(["ZoomTrigger","Zoom Trigger"],ITEM.RADIO(["Hover","Hover"],"zoom",{action:MENU.Zoom}),ITEM.RADIO(["Click","Click"],"zoom",{action:MENU.Zoom}),ITEM.RADIO(["DoubleClick","Double-Click"],"zoom",{action:MENU.Zoom}),ITEM.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),ITEM.RULE(),ITEM.LABEL(["TriggerRequires","Trigger Requires:"]),ITEM.CHECKBOX((HUB.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),ITEM.CHECKBOX(["Command","Command"],"CMD",{hidden:!HUB.Browser.isMac}),ITEM.CHECKBOX(["Control","Control"],"CTRL",{hidden:HUB.Browser.isMac}),ITEM.CHECKBOX(["Shift","Shift"],"Shift")),ITEM.SUBMENU(["ZoomFactor","Zoom Factor"],ITEM.RADIO("125%","zscale"),ITEM.RADIO("133%",
"zscale"),ITEM.RADIO("150%","zscale"),ITEM.RADIO("175%","zscale"),ITEM.RADIO("200%","zscale"),ITEM.RADIO("250%","zscale"),ITEM.RADIO("300%","zscale"),ITEM.RADIO("400%","zscale")),ITEM.RULE(),ITEM.SUBMENU(["Renderer","Math Renderer"],{hidden:!CONFIG.showRenderer},ITEM.RADIO("HTML-CSS","renderer",{action:MENU.Renderer}),ITEM.RADIO("MathML","renderer",{action:MENU.Renderer,value:"NativeMML"}),ITEM.RADIO("SVG","renderer",{action:MENU.Renderer})),ITEM.SUBMENU("MathPlayer",{hidden:!HUB.Browser.isMSIE||!CONFIG.showMathPlayer,disabled:!HUB.Browser.hasMathPlayer},ITEM.LABEL(["MPHandles","Let MathPlayer Handle:"]),ITEM.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:MENU.MPEvents,hidden:!isIE9}),ITEM.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:MENU.MPEvents,hidden:!isIE9}),ITEM.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:MENU.MPEvents,hidden:isIE9})),ITEM.SUBMENU(["FontPrefs","Font Preference"],{hidden:!CONFIG.showFontMenu},ITEM.LABEL(["ForHTMLCSS"
,"For HTML-CSS:"]),ITEM.RADIO(["Auto","Auto"],"font",{action:MENU.Font}),ITEM.RULE(),ITEM.RADIO(["TeXLocal","TeX (local)"],"font",{action:MENU.Font}),ITEM.RADIO(["TeXWeb","TeX (web)"],"font",{action:MENU.Font}),ITEM.RADIO(["TeXImage","TeX (image)"],"font",{action:MENU.Font}),ITEM.RULE(),ITEM.RADIO(["STIXLocal","STIX (local)"],"font",{action:MENU.Font}),ITEM.RADIO(["STIXWeb","STIX (web)"],"font",{action:MENU.Font}),ITEM.RULE(),ITEM.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:MENU.Font}),ITEM.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:MENU.Font}),ITEM.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:MENU.Font}),ITEM.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:MENU.Font}),ITEM.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:MENU.Font})),ITEM.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!CONFIG.showContext},ITEM.RADIO("MathJax","context"),ITEM.RADIO(["Browser","Browser"],"context")),ITEM.COMMAND(["Scale",
"Scale All Math ..."],MENU.Scale),ITEM.RULE().With({hidden:!CONFIG.showDiscoverable,name:["","discover_rule"]}),ITEM.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!CONFIG.showDiscoverable})),ITEM.SUBMENU(["Locale","Language"],{hidden:!CONFIG.showLocale},ITEM.RADIO("en","locale",{action:MENU.Locale}),ITEM.RULE().With({hidden:!CONFIG.showLocaleURL,name:["","localURL_rule"]}),ITEM.COMMAND(["LoadLocale","Load from URL ..."],MENU.LoadLocale,{hidden:!CONFIG.showLocaleURL})),ITEM.RULE(),ITEM.COMMAND(["About","About MathJax"],MENU.About),ITEM.COMMAND(["Help","MathJax Help"],MENU.Help));if(MENU.isMobile){(function(){var settings=CONFIG.settings;var trigger=MENU.menu.Find("Math Settings","Zoom Trigger").menu;trigger.items[0].disabled=trigger.items[1].disabled=true;if(settings.zoom==="Hover"||settings.zoom=="Click"){settings.zoom="None"}trigger.items=trigger.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){MENU.ITEM.SUBMENU.Augment({marker:"\u00BB"});}})(
);}MENU.CreateLocaleMenu();MENU.CreateAnnotationMenu();});MENU.showRenderer=function(show){MENU.cookie.showRenderer=CONFIG.showRenderer=show;MENU.saveCookie();MENU.menu.Find("Math Settings","Math Renderer").hidden=!show;};MENU.showMathPlayer=function(show){MENU.cookie.showMathPlayer=CONFIG.showMathPlayer=show;MENU.saveCookie();MENU.menu.Find("Math Settings","MathPlayer").hidden=!show;};MENU.showFontMenu=function(show){MENU.cookie.showFontMenu=CONFIG.showFontMenu=show;MENU.saveCookie();MENU.menu.Find("Math Settings","Font Preference").hidden=!show;};MENU.showContext=function(show){MENU.cookie.showContext=CONFIG.showContext=show;MENU.saveCookie();MENU.menu.Find("Math Settings","Contextual Menu").hidden=!show;};MENU.showDiscoverable=function(show){MENU.cookie.showDiscoverable=CONFIG.showDiscoverable=show;MENU.saveCookie();MENU.menu.Find("Math Settings","Highlight on Hover").hidden=!show;MENU.menu.Find("Math Settings","discover_rule").hidden=!show;};MENU.showLocale=function(show){MENU.
cookie.showLocale=CONFIG.showLocale=show;MENU.saveCookie();MENU.menu.Find("Language").hidden=!show;};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){MENU.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});CALLBACK.Queue(HUB.Register.StartupHook("End Config",{}),["getImages",MENU],["Styles",AJAX,CONFIG.styles],["Post",HUB.Startup.signal,"MathMenu Ready"],["loadComplete",AJAX,"[MathJax]/extensions/MathMenu.js"]);})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var VERSION="2.3";var MML=MathJax.ElementJax.mml
SETTINGS=MathJax.Hub.config.menuSettings;MML.mbase.Augment({toMathML:function(space){var inferred=(this.inferred&&this.parent.inferRow);if(space==null){space=""}var tag=this.type,attr=this.toMathMLattributes();if(tag==="mspace"){return space+"<"+tag+attr+" />"}var data=[];var SPACE=(this.isToken?"":space+(inferred?"":"  "));for(var i=0,m=this.data.length;i<m;i++){if(this.data[i]){data.push(this.data[i].toMathML(SPACE))}else if(!this.isToken){data.push(SPACE+"<mrow />")}}if(this.isToken){return space+"<"+tag+attr+">"+data.join("")+"</"+tag+">"}if(inferred){return data.join("\n")}if(data.length===0||(data.length===1&&data[0]==="")){return space+"<"+tag+attr+" />"}return space+"<"+tag+attr+">\n"+data.join("\n")+"\n"+space+"</"+tag+">";},toMathMLattributes:function(){var attr=[],defaults=this.defaults;var copy=(this.attrNames||MML.copyAttributeNames),skip=MML.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){attr.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!
this.attrNames){if(this.type==="mstyle"){defaults=MML.math.prototype.defaults}for(var id in defaults){if(!skip[id]&&defaults.hasOwnProperty(id)){var force=(id==="open"||id==="close");if(this[id]!=null&&(force||this[id]!==defaults[id])){var value=this[id];delete this[id];if(force||this.Get(id)!==value){attr.push(id+'="'+this.toMathMLattribute(value)+'"')}this[id]=value;}}}}for(var i=0,m=copy.length;i<m;i++){if(copy[i]==="class")continue;value=(this.attr||{})[copy[i]];if(value==null){value=this[copy[i]]}if(value!=null){attr.push(copy[i]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(attr);if(attr.length){return" "+attr.join(" ")}else{return""}},toMathMLclass:function(attr){var CLASS=[];if(this["class"]){CLASS.push(this["class"])}if(this.isa(MML.TeXAtom)&&SETTINGS.texHints){var TEXCLASS=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(TEXCLASS){CLASS.push("MJX-TeXAtom-"+TEXCLASS)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){
CLASS.push("MJX"+this.mathvariant)}if(this.variantForm){CLASS.push("MJX-variant")}if(CLASS.length){attr.unshift('class="'+CLASS.join(" ")+'"')}},toMathMLattribute:function(value){if(typeof(value)==="string"&&value.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em";}else if(this.toMathMLvariants[value]){return this.toMathMLvariants[value]}return this.toMathMLquote(value);},toMathMLvariants:{"-tex-caligraphic":MML.VARIANT.SCRIPT,"-tex-caligraphic-bold":MML.VARIANT.BOLDSCRIPT,"-tex-oldstyle":MML.VARIANT.NORMAL,"-tex-oldstyle-bold":MML.VARIANT.BOLD,"-tex-mathit":MML.VARIANT.ITALIC},toMathMLquote:function(string){string=String(string).split("");for(var i=0,m=string.length;i<m;i++){var n=string[i].charCodeAt(0);if(n<=0xD7FF||0xE000<=n){if(n<0x20||n>0x7E){string[i]="&#x"+n.toString(16).toUpperCase()+";";}else{var c={'&':'&amp;','<':'&lt;','>':'&gt;','"':'&quot;'}[string[i]];if(c){string[i]=c}}}else if(i+1<m){var
trailSurrogate=string[i+1].charCodeAt(0);var codePoint=(((n-0xD800)<<10)+(trailSurrogate-0xDC00)+0x10000);string[i]="&#x"+codePoint.toString(16).toUpperCase()+";";string[i+1]="";i++;}else{string[i]="";}}return string.join("");}});MML.msubsup.Augment({toMathML:function(space){var tag=this.type;if(this.data[this.sup]==null){tag="msub"}if(this.data[this.sub]==null){tag="msup"}var attr=this.toMathMLattributes();delete this.data[0].inferred;var data=[];for(var i=0,m=this.data.length;i<m;i++){if(this.data[i]){data.push(this.data[i].toMathML(space+"  "))}}return space+"<"+tag+attr+">\n"+data.join("\n")+"\n"+space+"</"+tag+">";}});MML.munderover.Augment({toMathML:function(space){var tag=this.type;if(this.data[this.under]==null){tag="mover"}if(this.data[this.over]==null){tag="munder"}var attr=this.toMathMLattributes();delete this.data[0].inferred;var data=[];for(var i=0,m=this.data.length;i<m;i++){if(this.data[i]){data.push(this.data[i].toMathML(space+"  "))}}return space+"<"+tag+attr+">\n"+
data.join("\n")+"\n"+space+"</"+tag+">";}});MML.TeXAtom.Augment({toMathML:function(space){var attr=this.toMathMLattributes();if(!attr&&this.data[0].data.length===1){return space.substr(2)+this.data[0].toMathML(space)}return space+"<mrow"+attr+">\n"+this.data[0].toMathML(space+"  ")+"\n"+space+"</mrow>";}});MML.chars.Augment({toMathML:function(space){return(space||"")+this.toMathMLquote(this.toString())}});MML.entity.Augment({toMathML:function(space){return(space||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});MML.xml.Augment({toMathML:function(space){return(space||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){MML.TeXmathchoice.Augment({toMathML:function(space){return this.Core().toMathML(space)}});});MathJax.Hub.Startup.signal.Post("toMathML Ready");});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");},{},{});
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